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</div><h2>HL Paper 3</h2><div class="specification">
<p>An observer A is on the surface of planet X. Observer B is in a stationary spaceship above the surface of planet X.</p>
<p>Observer A sends a beam of light with a frequency 500 THz towards observer B. When observer B receives the light he observes that the frequency has changed by Δ<em>f</em>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-13_om_15.27.24.png" alt="M18/4/PHYSI/HP3/ENG/TZ1/07_01"></p>
<p>Observer B then sends a signal with frequency 1500 THz towards observer A.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-13_om_15.28.04.png" alt="M18/4/PHYSI/HP3/ENG/TZ1/07_02"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the shift in frequency observed by A in terms of Δ<em>f</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the gravitational field strength on the surface of planet X.</p>
<p> The following data is given:</p>
<p> Δ<em>f </em>= 170 Hz.</p>
<p>The distance between observer A and B is 10 km.<span class="Apple-converted-space"> </span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Observer A now sends a beam of light initially parallel to the surface of the planet.</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_16.50.21.png" alt="M18/4/PHYSI/HP3/ENG/TZ1/07.c"></p>
<p>Explain why the path of the light is curved.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The \({\Lambda ^0}\) (Lambda) particle decays spontaneously into a proton and a negatively charged pion of rest mass 140 MeV c<sup>–2</sup>. After the decay, the particles are moving in the same direction with a proton momentum of 630 MeV c<sup>–1</sup> and a pion momentum of 270 MeV c<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the rest mass of the \({\Lambda ^0}\) particle.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine, using your answer to (a), the initial speed of the \({\Lambda ^0}\) particle.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about general relativity.</p>
<p class="p1">Bob is standing on the floor of a spaceship and he throws a ball in a direction parallel to the floor.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_10.41.31.png" alt="N10/4/PHYSI/HP3/ENG/TZ0/H3"></p>
<p class="p1">Between leaving Bob’s hand and landing on the floor, the ball follows the path shown.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State and explain whether, from the path followed by the ball, Bob can deduce that the spaceship is at rest on the surface of a planet.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline how the concept of spacetime can be used to explain the</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>trajectory of the ball if the spaceship is at rest on the surface of a planet.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>nature of a black hole.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the radius that Earth would have to have in order for it to behave as a black hole. The mass of Earth is \(6.0 \times {10^{24}}{\text{ kg}}\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The global positioning system (GPS) uses satellites that orbit the Earth. The satellites transmit information to Earth using accurately known time signals derived from atomic clocks on the satellites. The time signals need to be corrected due to the gravitational redshift that occurs because the satellites are at a height of 20 Mm above the surface of the Earth.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The gravitational field strength at 20 Mm above the surface of the Earth is about 0.6 N kg<sup>–1</sup>. Estimate the time correction per day needed to the time signals, due to the gravitational redshift.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest, whether your answer to (a) underestimates <strong>or</strong> overestimates the correction required to the time signal.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about pair production and relativistic mechanics.</p>
<p class="p1">A \(\gamma \)-photon of energy 2.46 MeV is travelling close to the nucleus of a gold atom. It converts into an electron (\({{\text{e}}^ - }\)) – positron (\({{\text{e}}^ + }\)) pair. Each particle travels at 45° to the original direction of the photon.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_10.38.22.png" alt="N10/4/PHYSI/HP3/ENG/TZ0/H2"></p>
<p class="p1">Immediately after the conversion, the kinetic energies of the electron and positron are equal. The magnitude of the recoil momentum of the gold nucleus is \(0.880{\text{ MeV}}\,{{\text{c}}^{ - 1}}\) and is in the direction of the photon.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate, immediately after the decay, the magnitude of the momentum of the electron.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the value \(V\) of the potential difference through which an electron at rest must be accelerated in order to have the same magnitude of momentum as that in (a).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>It is believed that a non-rotating supermassive black hole is likely to exist near the centre of our galaxy. This black hole has a mass equivalent to 3.6 million times that of the Sun.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline what is meant by the event horizon of a black hole.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the distance of the event horizon of the black hole from its centre.</p>
<p> Mass of Sun = 2 × 10<sup>30</sup> kg</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Star S-2 is in an elliptical orbit around a black hole. The distance of S-2 from the centre of the black hole varies between a few light-hours and several light-days. A periodic event on S-2 occurs every 5.0 s.</p>
<p><img src="images/Schermafbeelding_2018-08-14_om_10.00.36.png" alt="M18/4/PHYSI/HP3/ENG/TZ2/07.b"></p>
<p>Discuss how the time for the periodic event as measured by an observer on the Earth changes with the orbital position of S-2.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about a Galilean transformation and time dilation.</p>
<p class="p1">Ben is in a spaceship that is travelling in a straight-line with constant speed <em>v </em>as measured by Jill who is in a space station.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_10.33.50.png" alt="N10/4/PHYSI/HP3/ENG/TZ0/H1"></p>
<p class="p1">Ben switches on a light pulse that bounces vertically (as observed by Ben) between two horizontal mirrors \({{\text{M}}_{\text{1}}}\) and \({{\text{M}}_{\text{2}}}\) separated by a distance \(d\). At the instant that the mirrors are opposite Jill, the pulse is just leaving the mirror \({{\text{M}}_{\text{2}}}\). The speed of light in air is \(c\).</p>
</div>
<div class="question">
<p class="p1">The questions (e) and (f ) introduce the concepts of time dilation and length contraction. Discuss how muon decay in the atmosphere provides experimental evidence for these concepts.</p>
</div>
<br><hr><br><div class="specification">
<p>The Schwarzschild radius of a black hole is 6.0 x 10<sup>5</sup> m. A rocket is 7.0 x 10<sup>8</sup> m from the black hole and has a clock. The proper time interval between the ticks of the clock on the rocket is 1.0 s. These ticks are transmitted to a distant observer in a region free of gravitational fields.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the clock near the black hole runs slowly compared to a clock close to the distant observer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the number of ticks detected in 10 ks by the distant observer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>An electron and a positron have identical speeds but are travelling in opposite directions. Their collision results in the annihilation of both particles and the production of two photons of identical energy. The initial kinetic energy of the electron is 2.00 MeV.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, in terms of a conservation law, why two photons need to be created.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the speed of the incoming electron.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the energy and the momentum for each photon after the collision.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A positive pion decays into a positive muon and a neutrino.</p>
<p>\[{\pi ^ + } \to {\mu ^ + } + {v_\mu }\]</p>
<p>The momentum of the muon is measured to be 29.8 MeV c<sup>–1</sup> in a laboratory reference frame in which the pion is at rest. The rest mass of the muon is 105.7 MeV c<sup>–2</sup> and the mass of the neutrino can be assumed to be zero.</p>
</div>
<div class="specification">
<p>For the laboratory reference frame</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>write down the momentum of the neutrino.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>show that the energy of the pion is about 140 MeV.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the rest mass of the pion with an appropriate unit.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>In an experiment a source of iron-57 emits gamma rays of energy 14.4 ke V. A detector placed 22.6 m vertically above the source measures the frequency of the gamma rays.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the expected shift in frequency between the emitted and the detected gamma rays.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain whether the detected frequency would be greater or less than the emitted frequency.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question">
<p>This question is about relativistic dynamics.</p>
<p>A proton is accelerated from rest through a potential difference of 2.5 GV. Determine the momentum of the proton after acceleration.</p>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline what is meant by a black hole.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An observer views a distant spacecraft that is 23.0 km from the centre of a black hole. The spacecraft contains a clock that ticks once every second and the ticks can be detected by the distant observer. In 2.00 minutes the observer counts 112 ticks of the clock.</p>
<p>Determine the mass of the black hole.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the event horizon of a black hole.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the surface area <em>A</em> of the sphere corresponding to the event horizon is given by</p>
<p style="text-align: center;">\(A = \frac{{16\pi {G^2}{M^2}}}{{{c^4}}}\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest why the surface area of the event horizon can never decrease.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows a box that is falling freely in the gravitational field of a planet.</p>
<p style="text-align: center;"><img 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snFWTisJwBkRW/qJluGTfUmbfJwEiCBhBOYgLzSEph6PsMxzzWZdz+83W+gMHCB6TVk5D2BctOX+PjY10MvmPV2orHw+kWpMgMRXnrR5zwB5DyCmYH1t1Az/7/j/NmrEY6Jz2aKWHy40ioJJJiAERkFS7Ft7hFU1+1AZ0DI/PC69mPdqu3AplVYJI68Mmbjp9vm4FD1Wmzp9ASFTLwSf90a1GAZ6hdlD10ri5hFSDTb9mJnx+mgHb8HnVvWotp2LOJR8dhBEYsHVdokATUIGB9A2ZYW7J7zFazm22AwpGFcwQFMWr4Xe1bmIz0Q062YXFaPjt1z0G/NRZq4LjZuIQ5MWoquPcuQmx6tJIiiuRwHd87CJ8VTgnam/Awf3FeB/S21MCUwf4MgXtyhk4e4yKmjdHVS1eRJU4n+pYSN5CGSmEiild3EREMvSUXg0KFDSRUPgyGBcAQoYuGocBscDgeeeuqpwDNxkEAyE+B0Mpmro2Jsjz32GDo7O5Gfn4+jR4+qGIl2XCsxFVTChnaIKRMpR2LKcEwpK+IozOVyBXISn8X3fJBAshLgSCxZK6NiXNIoTAqBozGJxOjPSoyilLAxepSpt5cjsdSr6U1lJB+FSYY4GpNI8DkZCXAkloxVUTGm4aMwKRSOxiQSkZ+VGEUpYSNyhKm5hyOx1KzrmLIKNwqTDHE0JpHgc7IR4Egs2SqiYjyRRmFSSByNSSTCPysxilLCRvjoUncrRSx1axtTZuJIy2KxBC6pkA6ULrGQv3c6ncjOzpY28VlGQAkBUsKGLCRdvKSI6aLM0SUpCpn8IYqaKFryBwVMTmPoayUESAkbQ6NK/XcUsdSv8Zgz5AcqNnRK8FLCRmxRa781F/a1X0NmQAK6JkAR03X5mTwJaJ8ARUz7NWQGJKBrAhQxXZefyZOA9glQxLRfQ2ZAAromQBHTdfmZPAlonwBFTPs1ZAYkoGsCFDFdl5/Jk4D2CVDEtF9DZkACuiZAEdN1+Zk8CWifAEVM+zVkBiSgawIUMV2Xn8mTgPYJUMS0X0NmQAK6JkAR03X5mTwJaJ8ARUz7NWQGJKBrAhQxXZefyZOA9glQxLRfQ2ZAAromQBHTdfmZPAlonwBFTPs1ZAYkoGsCFDFdl5/Jk4D2CVDEtF9DZkACuiZAEdN1+Zk8CWifAEVM+zVkBiSgawIUMV2Xn8mTgPYJUMS0X0NmQAK6JkAR03X5mTwJaJ8ARUz7NWQGJKBrAhQxXZefyZOA9glQxLRfQ2ZAAromQBHTdfmZPAlonwBFTPs1ZAYkoGsCFDFdl5/Jk4D2Cdyi/RSYQbwICIIQL9O0GyJgtVpx7ty5ITyWLFky5P0LL7yAxx57bMg2vrlOwCDoqKcaDAboKN3rVearhBAYS/8SxamzszNifOPHj8fRo0eRnZ0dsY3ed3A6qfcewPxVJfDaa68hMzMzYgxPPfUUBSwineAOjsRuAIi7SSBaAmMZiYm2I43GTCYTOjo6KGI3KABHYjcAxN0kEG8CkUZjhYWFFLAo4HMkFgUkNiGBaAiMdSQm2h4+GuMoLBriwTYciUXPii1JIG4Eho/GOAqLHjVHYtGzYksSGJXAzYzERMPSaIyjsFExj9jJkdgIJNxAAuoQEEdjd911FzgKi40/R2Kx8WJrEohI4GZHYqLhsrIyvP7661zQj0h55A6K2Egm3EICYyKghIiNybHOD+J0UucdgOmTgNYJUMS0XkHGTwI6J0AR03kHYPokoHUCFDGtV5Dxk4DOCVDEdN4BmD4JaJ0ARUzrFWT8JKBzAhQxnXcApk8CWidAEdN6BRk/CeicAEVM5x2A6ZOA1glQxBSt4BW4bItgMNfBMeC/Sct+eF2taKzbA9fNmrrJSHg4CSQzAYpY0lbnHDqbXkJN95WkjZCBkUAyEKCIJUMVGAMJkMCYCVDEokU34IDVbEbpjsP49I0KmA0GGAxmFFqb0e25NszKaXx2aDMqzGIbAwzmCjQedsErb+V1wWGzojBgxwBDoRU2h9TmLBzWH6B4YzfQVgVLWh6sjrPBo0c9DoAszs5d1+2bK97AYdeAPAK+JoGUIEARi6mMHrS9uBJv4UV0+wQIFx1Yjt3Ie247ur2yhSvPYfzus+l4yeWDIFyFe/d0/K5kJd7uPh/05j0G27IFWHzkfjS4rwbbNNyPI4sLMK+xE15MRFHDv6K9NhcoaYLT14WGoonADY+TkhHjbETLuB/hoCBA8PVh9+R/RcnSpqFxSs35TAJaJiDed1IvD0C87eQYHxfahVoTBFNli9Dnk9kIbM8VatvPCIJwWXA2LRRgWi20X5A18n0pNJU8KJQ0fSn4BJ9woX21YDItE1r6rsoMhbZjodDkvCwIwhmhvTZXQEmT4AyYivI4Kc7aduHCoPXhtgd38IWCBG6qfykYh95McSQW0xnIhJzHH4ZJTi3dDEuOG82tf8Tok7VL6HG64cU5dLW2wZPzCGaabpV5NyJ9ShZycALOviETz1CbsR4nHn4j27IwQi8vX74Ml8sF8ZkPEkhmAvKPYzLHmfSxeT4/iX7ZjDJiwP6zOPm5O+JuwI3PT57FCFNjPW4UT+F2ORwOfO9738Odd96J8vLywLP4XtzOBwkkIwGKmEJVMc2aisxoaBonYuos8yhezZg1dSJGmBrrcaN4Gr5r/fr1WLBgAT755JPArs7OzsCz+F7cLu7ngwSSjcCIz0qyBZhc8XhCU0JZVF43nD1mlJd+GxmyzZFfTkBeaQlMPZ/h2JBvNf3w9h1HD6bDMiU9zOFjPS6MqTCb3n33XWzduhXnz4e+fBjWRtwu7hfb8UECyUSAIhZjNTwbG7DB3hu8XEL8tnD5CjTPrcNPCyZGacmIjPznsP7JI6iu24HOgJD54e1txvLFO2HZtAqLsm8HkI4plukhm1fg9fqjPC7KMGTNxHWvNWvW4MyZM7KtI1+K+ysqKrhONhINt6hIgCIWE3wTCmqfwaMnXkO2eH3XuL/FkZxGdGyZj8mxkEyficrtLdg95ytYzbfBYEjDuJ/8CXN2d+DgqnwEx2G3I2vuEqy+9jIsadOxYN9x+KM6LqaEAo2dTmfUwpSZmQmxPR8kkCwEeLejaCshXkQ6YzE+X+/AocoZI9esorWThO3sdntgzSva0FpaWgK3Fou2vV7a8W5H6lQ6lvGDOhHSKwmQAAmMQoAiNgocvezKz8+HyWSKKl2x3cyZM6Nqy0YkkAgCnE4mgrIGfHz/+9/Hhx9+eMNIRcE7evToDdvpsQGnk+pUnSKmDvek8ypenW+xWG4Yl7ion52dfcN2emxAEVOn6pxOqsM96byKwvSHP/wB06ZNCxubuF3cTwELi4cbVSSgu5GYiqzpWgcEBEHQQZbJleItyRVOfKNhB4svX1onATUIcDqpBnX6JAESUIwARUwxlDREAiSgBgGKmBrU6ZMESEAxAhQxxVDq15Dfcxh1hebg/QRKt8K+Q6nb1umXKTOPngBFLHpWbBmWwFl0/M/V2Dl9G/rE+w60voiZaWEbciMJxIUARSwuWHVkVPrF2YnjMY69SUeFT55U2e2Spxaai8TvsqE07SFUtXng2ViMuw3ireXC/SaZeDdzB2zW0uCUM3CrOxscw28hF+Xt6AqtW9FYkROwZbY6bnBvA81hZcAxEqCIxQiMza8TMGZXotX3JZpKTDDVtuOCIN5abtL1BoFXwR98XFawAkcy18ItTjl93WjIPILFlufQGPVt7CSzHnQ0f4EJqz+G4PsaHS/mRfmLutLxfE41AhSxVKto0uVzDp2/ehOH5/4j6lc8HrxTlNGE/H/4OXbX9qOmzg6X34+Bzj14+fAcbKtfgvzAXaBuhSn/J3hz9/Nw1jRin+vKYGam8r/DMzMyAOO3kP1gdD8KPngwX6QcAYpYypU0yRIa+CNam90jb3Un/fx2z3H0ec+O8TZ2SZYrw1GFAEVMFez6cervP4nPPaPk6zmOk+7TY7uN3ShmuUs/BChi+qm1KpkaM6di1mi/t2jKwlTz5LHdxk6VjOg02QhQxJKtIqkWT8a3UVpuRs/Hf4JnyB2BvehzngBysjAlfeIYb2OXarCYz1gIUMTGQo3HxEBgAvJ/tBxPHnoFdVs+DgnZAHptVizemIlN9WXINkZ7G7sY3LKpbghQxHRTarUSNSJ9Rjm2d2zBnP5XYU4zwGCYgZ84H8du5x6syh0fDCxOt6NTK2v6TRwBXf0oYuKw0hMJkECiCHAklijS9EMCJBAXAhSxuGClURIggUQRoIglijT9kAAJxIUARSwuWGmUBEggUQQoYokiTT8kQAJxIUARiwtWGiUBEkgUAYpYokjTDwmQQFwIUMTigpVGSYAEEkWAIpYo0vRDAiQQFwIUsbhgpVESIIFEEaCIJYo0/ZAACcSFAEUsLlhplARIIFEEKGKJIk0/JEACcSFAEYsLVholARJIFAGKWKJI0w8JkEBcCFDE4oKVRkmABBJFgCKWKNL0QwIkEBcCFLG4YKVREiCBRBGgiCWKNP2QAAnEhQBFLC5YaZQESCBRBChiiSJNPyRAAnEhQBGLC1YaJQESSBQBiliiSNMPCZBAXAhQxOKClUZJgAQSRYAilijS9EMCJBAXAhSxuGClURIggUQRoIglijT9kAAJxIUARSwuWGmUBEggUQQoYokiTT8kQAJxIUARiwtWGiUBEkgUAYpYokjTDwmQQFwIUMTigpVGSYAEEkWAIpYo0vRDAiQQFwIUsbhgpVESIIFEEaCIJYo0/ZAACcSFAEUsLlhplARIIFEEKGKJIk0/JEACcSFAEYsLVholARJIFAGKWKJI0w8JkEBcCFDE4oKVRkmABBJF4JZEOaKfkQQuX76Mv/71ryN3ADh58iS8Xm/YfdLGTz/9VHp508+bNm0aYePpp59Gdnb2iO1j2TBz5kykp6ePeqjYJtxj4sSJmDBhQrhd3EYCMAiCIJBDbARcLteQA44dOzbkfW9vL86fPz9kWziREBvU1NQMaSe9uf/++2E2m6W3YZ+nT5+OO++8M+y+WDfed999uOOOO4YcNjzPITtjfDOc0fDDRcGO1KajowO///3vhx+CF154Affcc8+Q7d/97neHvL/33nsxadKkwW3h8hzcyReaJKBrETt37hzOnj0bKNyZM2fw9ddfB14P/0AN/xAN//AMH2UM/+CIRjmaUP7zMVxkL126hBMnTgxxNHy0OvxkIj+JyE8c4qhx6tSpAVviiWLKlClD7PJN8hBIORGTT9HkUzKpM3/zzTf45S9/GajAo48+ioKCgsDr8ePHY8aMGYOVkU9tKECDWFLqhbyviInJ+4t8NC2K5YEDBwK5y6fY0slLLngc6SW+i2hKxKSRk/yMK4mTfLQknV3lZ1b51EupdZ7El4se1SbQ19cHsf+JD2n663a78dVXXwW2SSM9+QlSmuJKfZBCp2wVk0rEpDOjNLWTOof8TCgJ1PCOwSG/sh2D1m6OwPATrnyJQhI6aVlCGtFJIseTbGzsEy5iUnGlobs4kpJP8USRkqZ20jCdAhVbUdlaGwSkNT1pRCf/LEgjOWk2IQqcuKzBtbmRtY2biInDbnHRXFxoldYXpDOQKFTy4ogixbPPyOJwi34JhDvZSzMSaV1OnI1IXyLp+fOjiIiJcMWziShWf/nLXwIL53LQ0oiKawH6/VAyc+UIiJ83aV1YHL1J4iZOT6dNmxb4gkqcourl83bTIiaeMV5//XWI0B588MHANTl6Piso11VpiQRiIyCKmbhM09/fHxhUiDMfcTCRn5+f0sJ20yIWG2a2JgESSCQBcVnn1KlT+POf/4wPP/wwMEsSR2wNDQ0p818QFLFE9ij6IoEkICCO2FJptsR/AFehU/ldNpQaFsHmuqKCdwBeFw43bsAutfwHsh6Ay16HQoMBBoMZpbZe+NWhoTuvqSRgYvEoYrrrwn4MdO5ERc0X8KmYu9/1GyxfcBDTW07CJ7jRWjmDnVHFemjZNUVMy9XTfOy3YeL4uyhemq+juglQxDRYEUsAAAe/SURBVBTlfxYOax4Mpdvh+HQ7KsziVMkAQ6EVu7o9o0yXrsHTbUdjRU6wfegYm8OF4I/x+DHgqIPZsAg7HB3YZS0NtctBRWMrXF75REy01QxroTnUphRWmyPURrTzMmYUvwYP3kOV5Q6YrQ4MhGXgh9flgG3QVzCP6zGFcjXXwTEg8z/ggNVsCNmV4i6Fdcfr13kYDEizVKEN3dhYPAkGyYbfg257o6ydGYVWGxyuoRH6PZ2jMxDt7LKGpqrD4w6bLDdqmABFLB7Fa6vG4reAZd1XIQgX4Fyehp15S7C5e+jP8wRd++Ht3o7n5h1A2rI2+AQBgnAV7jV3orl4Jd4ecsx7eHFdG8ZVvQfxF5R87s2Y/LtlWPp2V0jsruG0fSVy572PzIbuoK2LP4flyAoUrNiP034jMorWo7d9NUxYiCbnZbgbipARjoG3C28vrcURy89xcUhML2NfzGtpbWj+yITVLh987uM4ftEHn7MJJchFbfsZCO56FGUMoHvzEsw7cEeImwDB93usSduL4qVN6A4Jtf+0HUty52MnlsJ50Qfh4r9gTs+qUH4A/KdgX1KCeY770eAW+ftw8a2HcWTxAqywnxrlRBIOArdpgQBFLB5VMi3DtvolyDfdCiAD2WUrsaa2H5v3fRZm1HMOnfv+Gc7yClTlm0JTq1thKngW5SW9OPxFv+yDl4vaNStRlh2UHaPpO3gifzw6Dh+DWxwMDXyErdV25KxfjRWSrfSZqHxzC8oP1WNrR/Bnh6JJ2e8+hsMd0zFndhaCP2V4K0xFr+B/C/tQmX17NCZkbXJRXvFDzEg3wmh6EA+mh+l2A59h3+Z+lFc8G+ImrthORsHzz6Kk4xN84b4G4AqOt/4aNjyPNS/NR7ZoJ/1hPFMxD7D9Gq3HL2Gg4x1U2x7C+peqQnaMSJ9Rjjd3z8Oh6nfQIR81yiLkS+0SCNObtJtM0kSe8whmBgRMiigdUyzT4Wl+H10jPkQTUdTQBXdDHvodB2C322G374C1uAhVbcFfS5CsjHwO2kXPcfR5/wMDXe+j2WPGrKkTh64zpZthyXGjufWPYUR0pFVxi9E8E08WfISXm36LTsdvR0zpwh91E1szitDg7kJD/jk4AgzssNusKA5MO0N2/Sfx0d6PgJwsTBkUQnF0WQ93QFwvoau1DR5TFqZmiicQ6WFE+pQs5Hja0Np1TtrI5xQhQBFLZCE9x3GyXxxRyB9+eHt3ocJ8NyzFv8DR8+KQ6lsofcuOphKgx+kOTRXlx4z2OrTOFLh0IbQml/YQqto8ox00cl96PlYd7MDux75By7oXUWy5GwaDfH1t5CE3t2UAvbYqmMdZUPzmUQQm3uPn4q2uf0IJTsDZN/pPdQ/x7XkNxXenXV9fHFyDG9KKb1KEAH9jP5GFlEYI/TKnfhf2rViNw3Nb0LejDJOl04q4QN7jAWbJ2kb1UlzreneUKZ8/6tEY0rNRVCb+LUGDuFi+/5+xtboYBc529DZ8O6poom0kXnKxoqoTc1tOYkfZA6GRpPjFQBt6ECOGkiY4D1UiW2IZbRBsp0kCLHM8yhaY3sm+sYMXfc4TMJU/gbyMYci9bjh7gJzHH4ZJtst/8TyiX8ESkzAiI+8JlJu+xMfHvpato4kXt3aisTDr5i4oNZqQW/Y8Kspz4fn8JPr9oamsIvz88PYdRw8ewuMz75VNhf8DF8/Lvpk0TsXsZ2cjOH2+zjd48bB4wey/4TulJTD1fIZjHvmIV/zy5A0UqnmBsSKcaCQcAdnHJtxubhsTAc9OrNuwP3RZgzhNsmJx83ex7aezR34TmPFtlJab0da8Fx2hD57f8zG21L0CW4wzQGTMxk+3zcGh6rXY0hm6pMPbC/u6NajBMtQvyoYRofWhQGJ+XPJeGip4oYSDwlAKq7138DIPr+sDtHYClUuLkWW8HVmzf4ASz0Hs+s2fgm1EXxsasDHWuAcF+CM07/wQnoA+XYOncwfqqrfjurnbkTV3CVZb9mHd6+3Bdv7T6Ni5F20FNahfNAP3FCzFtrlHUF23A50BnuKlIvuxbtV2YNMqLIr5S4kx9QAelEACFLF4wC4oR/mjJ7AhW1yXuRtFR2ZiV0c9yibLF5slxxNR8Pe/wM78/4Ni822BdZwpP/sE91X8Ai21uVKjKJ9vxeSyenTsnoN+ay7SxHWxcQtxYNJSdO1ZhtzQYrgxqxTW1RdQZbkLdy34NY5fH9QM+jFmL8bOrqWYdGAhxgXW19IwruAAJi1/B+vnB6d7xuxn8GZbJfByTrDNvF/h4oJV+KcS06CdqF9kzMbfH2xA/icVMKeJa3m5+NkHE1Gx/z3UyswZTU9i/Z49eN7XGGyX9ijW+RZfz8/4AMq2tGD3nK9gDfCU4t6LPSvzQ9+0Rh0VG2qAAP8BXNEiiReA/gDFn/93rskoypXGSCAyAY7EIrPhHhIgAQ0QoIhpoEgMkQRIIDIBTicjs+EeEiABDRDgSEwDRWKIJEACkQlQxCKz4R4SIAENEKCIaaBIDJEESCAyAYpYZDbcQwIkoAECFDENFIkhkgAJRCZAEYvMhntIgAQ0QIAipoEiMUQSIIHIBChikdlwDwmQgAYIUMQ0UCSGSAIkEJkARSwyG+4hARLQAAGKmAaKxBBJgAQiE/j/yTbb2oWWnMoAAAAASUVORK5CYII="></p>
<p>A photon of frequency <em>f</em> is emitted from the floor of the box and is received at the ceiling. State and explain the frequency of the photon measured at the ceiling.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about general relativity.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the Schwarzschild radius for an astronomical object of mass 5.0 ×10<sup>30</sup> kg.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A spaceship is travelling towards the object in (a). The spaceship moves in a straight line such that its distance of closest approach would be about 10<sup>7</sup>m. Discuss why the presence of the object in (a) will <strong>not</strong> significantly affect the motion of the spaceship.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An observer, when viewing a distant galaxy, sees two images of the galaxy separated by a small angle. A massive star is positioned between the observer and the galaxy. Outline how these observations give support to the theory of general relativity.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about relativistic kinematics.</p>
</div>
<div class="specification">
<p class="p1">A spacecraft is flying in a straight line above a base station at a speed of 0.8<em>c</em>.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_08.01.33.png" alt="N15/4/PHYSI/HP3/ENG/TZ0/12.b"></p>
<p class="p1">Suzanne is inside the spacecraft and Juan is on the base station.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by an inertial frame of reference.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A light on the base station flashes regularly. According to Suzanne, the light flashes every 3 seconds. Calculate how often the light flashes according to Juan.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">While moving away from the base station, Suzanne observes another spacecraft travelling towards her at a speed of 0.8<em>c</em>. Suzanne measures the other spacecraft to have a length of 8.00 m. Calculate the proper length of the other spacecraft.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Suzanne’s spacecraft is on a journey to a star. According to Juan, the distance from the base station to the star is 11.4 ly. Show that Suzanne measures the time taken for her to travel from the base station to the star to be about 9 years.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Suzanne then returns to the base station at the same speed. The total time since leaving the base station as measured by Suzanne is around 18 years but the total time according to Juan is around 29 years. Explain how it is possible for Suzanne and Juan to have aged by different amounts.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about gravitation.</p>
<p>Planets move in orbits around the Sun. Explain this observation according to</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Newton’s universal law of gravitation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Einstein’s theory of general relativity.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic kinematics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An observer at rest relative to Earth observes two spaceships. Each spaceship is moving with a speed of 0.85<em>c</em> but in opposite directions. The observer measures the rate of increase of distance between the spaceships to be 1.7<em>c</em>.</p>
<p>(i) Outline whether this observation contravenes the theory of special relativity.</p>
<p>(ii) Determine, according to an observer in one of the spaceships, the speed of the other spaceship.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The observer on Earth in (a) watches one spaceship as it travels to a distant star at a speed of 0.85<em>c</em>. According to observers on the spaceship, this journey takes 8.0 years.</p>
<p>(i) Calculate, according to the observer on Earth, the time taken for the journey to the star.</p>
<p>(ii) Outline whether the time interval measured by the observer on Earth is a proper time interval.</p>
<p>(iii) Calculate, according to the observer on Earth, the distance from Earth to the star.</p>
<p>(iv) The observers in the spaceship send a message to Earth halfway through their journey. Determine how long it takes the message to arrive at Earth according to the observers on the spaceship.</p>
<div class="marks">[9]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about relativistic momentum and energy.</p>
<p class="p1">An electron and a positron travel towards each other in a straight line in a vacuum. A positron is a positively charged electron.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_05.33.07.png" alt="N14/4/PHYSI/HP3/ENG/TZ0/19"></p>
<p class="p1">The speed of each particle, as measured by an observer in the laboratory, is 0.85c. The value of the Lorentz factor at this speed is approximately 1.9.</p>
</div>
<div class="specification">
<p class="p1">The electron and positron annihilate each other, creating two photons in the process. Each of the photons transfers the same quantity of energy.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the speed of the positron as measured in the frame of reference of the electron.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the total energy in the reaction.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why two photons must be released in this collision.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the frequency of one of the photons.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about muon decay.</p>
<p class="p1">Muons are produced in the Earth’s atmosphere at a height of around 10 km above the surface. They then travel at a speed of around 0.98c towards the Earth. The average time for a muon to decay is approximately \({\text{2.2 }}\mu {\text{s}}\), according to observers at rest relative to the muon.</p>
</div>
<div class="specification">
<p class="p1">Many muons are observed to reach the surface of the Earth.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Deduce that few muons would be expected to arrive at the surface of the Earth if non-relativistic mechanics are assumed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the average decay time of a muon as observed by an observer on the surface of the Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain, with a calculation, why many muons reach the surface of the Earth before they have decayed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A proton is accelerated from rest through a potential difference <em>V</em> to a speed of 0.86c.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the potential difference <em>V</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The proton collides with an antiproton moving with the same speed in the opposite direction. As a result both particles are annihilated and two photons of equal energy are produced.</p>
<p>Determine the momentum of one of the photons.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>An electron is emitted from a nucleus with a total energy of 2.30MeV as observed in a laboratory.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the speed of the electron is about 0.98c.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electron is detected at a distance of 0.800 m from the emitting nucleus as measured in the laboratory.</p>
<p>(i) For the reference frame of the electron, calculate the distance travelled by the detector.</p>
<p>(ii) For the reference frame of the laboratory, calculate the time taken for the electron to reach the detector after its emission from the nucleus.</p>
<p>(iii) For the reference frame of the electron, calculate the time between its emission at the nucleus and its detection.</p>
<p>(iv) Outline why the answer to (b)(iii) represents a proper time interval.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about spacetime.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what is meant by spacetime.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the shape of the path in spacetime of a body</p>
<p>(i) moving at constant velocity.</p>
<p>(ii) orbiting the Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how spacetime is used to describe the gravitational attraction between Earth and a satellite orbiting the Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic mechanics.</p>
<p>A proton, after acceleration from rest through a potential difference <em>V,</em> has momentum 1600MeVc<sup>–1</sup>.</p>
</div>
<div class="question">
<p>Calculate the value of <em>V.</em></p>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic energy and momentum.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A proton is accelerated from rest through a potential difference <em>V</em>. The proton reaches a speed of 0.970c. Determine the value of <em>V</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, after acceleration for the proton in (a), its</p>
<p>(i) mass.</p>
<p>(ii) momentum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic energy and momentum.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A proton is accelerated from rest through a potential difference <em>V</em>. After acceleration the mass of the proton is equal to four times its rest mass. Determine the value of <em>V</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the proton in (a) calculate, after acceleration, its</p>
<p>(i) speed.</p>
<p>(ii) momentum.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the equivalence principle and black holes.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the principle of equivalence.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The gravitational field strength near the surface of a neutron star is 1.2 ×10<sup>13</sup>Nkg<sup>–1</sup>. A light ray is emitted from a stationary probe at a height of 250 m above the surface. The frequency of the light measured in the probe is 4.8×10<sup>14</sup> Hz.</p>
<p>(i) Determine the frequency of the light received at the surface of the star according to an observer at the surface.</p>
<p>(ii) Describe how gravitational red-shift leads to the concept of gravitational time dilation.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>General relativity predicts the existence of black holes.</p>
<p>(i) State what is meant by a black hole.</p>
<p>(ii) Suggest <strong>two</strong> ways in which a black hole may be detected.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about black holes.</p>
<p class="p1">A space probe is stationary in the gravitational field of a black hole.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_05.40.53.png" alt="N14/4/PHYSI/HP3/ENG/TZ0/20"></p>
<p class="p1">The mass of the black hole is \(4.5 \times {10^{31}}{\text{ kg}}\). The space probe is emitting a pulse of blue light at a time interval of 1.0 seconds as measured on the space probe. The light is received by an observer on a distant space station that is stationary with respect to the space probe.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain why the light reaching the space station will be red-shifted.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The time between the pulses as measured by the observer on the distant space station is found to be 1.5 s. Calculate the distance of the space probe from the black hole.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic mechanics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the potential difference through which a proton, starting from rest, must be accelerated for its mass–energy to be equal to three times its rest mass energy.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the momentum of the proton after acceleration.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic mechanics.</p>
<p>A proton, after acceleration from rest through a potential difference <em>V,</em> has momentum 1600MeVc<sup>–1</sup>.</p>
</div>
<div class="question">
<p>Calculate the speed of the proton after acceleration.</p>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what is meant by spacetime.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how the concept of spacetime accounts for the</p>
<p>(i) orbiting of Earth about the Sun.</p>
<p>(ii) nature of a black hole.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic kinematics.</p>
<p>A short pulse containing many nuclei of a radioactive isotope is emitted from a source S in a laboratory. The nuclei have speed <em>v</em> = 0.920c as measured with respect to the laboratory.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The pulse arrives at a detector D. The detector is 250 m away as measured by an observer in the laboratory.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the time it takes the pulse to travel from S to D, according to</p>
<p>(i) an observer in the laboratory.</p>
<p>(ii) an observer Q moving along with the pulse.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the distance between the source S and the detector D according to observer Q.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A particular nucleus in the pulse decays by emitting an electron in the same direction as that of the nucleus. The speed of the electron measured in the laboratory is 0.985c.</p>
<p>Calculate the speed of the electron as measured by observer Q.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The laboratory observer and observer Q agree that by the time the pulse arrives at D, half of the nuclei in the pulse have decayed.</p>
<p>Outline, without further calculation, how this is evidence in support of time dilation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="question">
<p>A lambda \(\Lambda \)<sup>0</sup> particle at rest decays into a proton p and a pion \({\pi ^ - }\) according to the reaction</p>
<p style="text-align: center;">\(\Lambda \)<sup>0</sup> → p + \(\pi \)<sup>–</sup></p>
<p>where the rest energy of p = 938 MeV and the rest energy of \(\pi \)<sup>–</sup> = 140 MeV.</p>
<p>The speed of the pion after the decay is 0.579<em>c</em>. For this speed \(\gamma \) = 1.2265. Calculate the speed of the proton.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about general relativity.</p>
</div>
<div class="specification">
<p class="p1">The diagram shows monochromatic light of frequency \({f_0}\) being emitted from the base of a box towards an observer C at the ceiling of the box. The box is in free fall above the surface of the planet. Light of the same frequency is also emitted from the surface of the planet towards an observer P at rest above the surface of the planet.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-08_om_13.16.49.png" alt="M14/4/PHYSI/HP3/ENG/TZ2/17.b"></p>
<p class="p1">The frequency of the light as measured by C is \({f_{\text{C}}}\) and the frequency of the light as measured by P is \({f_{\text{P}}}\).</p>
<p class="p1">State and explain whether the frequencies \({f_{\text{C}}}\) and \({f_{\text{P}}}\) are less than, equal to or greater than \({f_0}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\({f_{\text{C}}}\)</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\({f_{\text{P}}}\)</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Newton explained the motion of a planet around the Sun in terms of a force of gravitation between the Sun and the planet. Describe how Einstein’s theory of general relativity explains the motion of the planet around the Sun.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic mechanics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the speed <em>v</em> of a particle of total energy <em>E</em> and momentum <em>p</em> is given by the following equation.</p>
<p style="text-align: center;">\[v = \frac{{p{c^2}}}{E}\]</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine, using the answer in (a), the speed of a particle whose rest mass is zero.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about general relativity.</p>
<p class="p1">A spacecraft is at rest on the surface of a distant planet. A laser beam is fired from the base</p>
<p class="p1">of the spacecraft to a sensor at the top of the spacecraft.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_08.59.49.png" alt="N15/4/PHYSI/HP3/ENG/TZ0/15"></p>
</div>
<div class="specification">
<p class="p1">The spacecraft has a height of 112 m. The laser beam emitted from the source has a frequency of \(4.52 \times {10^{14}}{\text{ Hz}}\) and the sensor detects a shift in the frequency of the laser beam of 3.20 Hz.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that the gravitational field strength at the surface of the planet is about \({\text{5.7 N}}\,{\text{k}}{{\text{g}}^{ - 1}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Discuss the shift in frequency of the laser beam.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The spacecraft leaves the planet with an acceleration of \({\text{5.7 m}}\,{{\text{s}}^{ - 2}}\). The same experiment is carried out by firing the laser beam from the base of the spacecraft to the sensor at the top of the spacecraft. Compare the shift in frequency of the laser beam with that detected in (a).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about mass and energy.</p>
</div>
<div class="specification">
<p class="p1">The positive kaon \({K^ + }\) has a rest mass of \(494{\text{ MeV}}\,{{\text{c}}^{ - 2}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Using the grid, sketch a graph showing how the energy of the kaon increases with speed.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_08.32.18.png" alt="N15/4/PHYSI/HP3/ENG/TZ0/13.a.i"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The kaon is accelerated from rest through a potential difference so that its energy becomes three times its rest energy. Calculate the potential difference through which the kaon was accelerated.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The neutral kaon is unstable and one of its possible modes of decay is</p>
<p class="p1">\[{K^0} \to {\pi ^0} + {\pi ^0}.\]</p>
<p class="p2">T<span class="s1">he \({\pi ^0}\)</span> has a rest mass of \(135{\text{ MeV}}\,{{\text{c}}^{ - 2}}\). The \({K^0}\) has a rest mass of \(498{\text{ MeV}}\,{{\text{c}}^{ - 2}}\). The \({K^0}\) is at rest before it decays. T<span class="s1">he </span>two <span class="s1">\({\pi ^0}\)</span> particles move apart in opposite directions along a straight line. Determine the momentum of <strong>one</strong><span class="s1"> of the \({\pi ^0}\) </span>particles.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic mechanics.<br>A proton is accelerated from rest through a potential difference of 1.5 GV.<br>Calculate, for the accelerated proton, the</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>total energy.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>momentum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>speed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic mechanics.</p>
<p>A rho meson \((\rho )\) decays at rest in a laboratory into a pion \(({\pi ^ + })\) and an anti-pion \(({\pi ^ - })\) according to</p>
<p>\(\rho \to {\pi ^ + } + {\pi ^ - }\).</p>
<p>The rest masses of the particles involved are:</p>
<p> \({m_{{\pi ^ + }}} = {m_{{\pi ^ - }}} = 140{\text{ MeV}}\,{{\text{c}}^{ - 2}}\)</p>
<p> \({m_\rho } = \) \(770{\text{ MeV}}\,{{\text{c}}^{ - {\text{2}}}}\)</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Show that the initial momentum of the pion is \(360{\text{ MeV}}\,{{\text{c}}^{ - {\text{1}}}}\).</p>
<p class="p2">(ii) <span class="Apple-converted-space"> </span>Show that the speed of the pion relative to the laboratory is 0.932c.</p>
<p class="p2">(iii) <span class="Apple-converted-space"> </span>Calculate, in \({\text{MeV}}\,{{\text{c}}^{ - 2}}\), the mass that has been converted into energy in this decay.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The pion \(({\pi ^ + })\) emits a muon in the same direction as the velocity of the pion. The speed of the muon is 0.271c relative to the pion. Calculate the speed of the muon relative to the laboratory.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic dynamics.</p>
</div>
<div class="question">
<p>A proton is accelerated from rest by a potential difference <em>V</em> and reaches a speed of 2.5×10<sup>8</sup> m s<sup>–1</sup>. Calculate <em>V.</em></p>
</div>
<br><hr><br><div class="specification">
<p>This question is about rest mass and relativistic energy.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define the <em>rest mass</em> of a particle.</p>
<p>(ii) The rest mass of a particle is said to be an invariant quantity. State, with reference to special relativity, what is meant by the term invariant.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In a thought experiment, two particles X and Y, each of rest mass 380 MeVc<sup>–2</sup>, are approaching each other head on.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The speed of X and of Y is 0.60 c relative to a laboratory.</p>
<p>(i) Calculate the momentum of X in the frame of reference in which Y is at rest.</p>
<p>(ii) As a result of the collision a single particle Z is formed. Determine the rest mass of Z. The gamma factor for a speed of 0.60 c is 1.25.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relative velocities and energy at relativistic speeds.</p>
<p>Two identical rockets are moving along the same straight line as viewed from Earth. Rocket 1 is moving away from the Earth at speed 0.80 c <strong>relative to the Earth</strong> and rocket 2 is moving away from rocket 1 at speed 0.60 c <strong>relative to rocket 1</strong>.</p>
<p style="text-align: center;"><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the velocity of rocket 2 relative to the Earth, using the</p>
<p>(i) Galilean transformation equation.</p>
<p>(ii) relativistic transformation equation.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Comment on your answers in (a).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The rest mass of rocket 1 is 1.0×10<sup>3</sup>kg. Determine the <strong>relativistic</strong> kinetic energy of rocket 1, as measured by an observer on Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Two protons, travelling in opposite directions, collide. Each has a total energy of 3.35 GeV.</p>
</div>
<div class="specification">
<p>As a result of the collision, the protons are annihilated and three particles, a proton, a neutron, and a pion are created. The pion has a rest mass of 140 MeV c<sup>–2</sup>. The total energy of the emitted proton and neutron from the interaction is 6.20 GeV.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the gamma (<em>γ</em>) factor for one of the protons.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine, in terms of MeV c<sup>–1</sup>, the momentum of the pion.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows the paths of the incident protons together with the proton and neutron created in the interaction. On the diagram, draw the path of the pion.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about spacetime.</p>
</div>
<div class="question">
<p>Explain, with reference to the warping of spacetime, the gravitational attraction between Earth and the Sun.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about muon decay experiments.</p>
<p>Muons created high in the atmosphere move vertically down towards the surface of Earth. A muon detector T is placed on top of a mountain and another, detector S, is placed at sea level.</p>
<p><img 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" alt></p>
<p> </p>
<p>Detector T detects 570 muons per hour. In the rest frame of the muons their half-life is 1.5 μs. According to an observer, at rest on the mountain, the muons take 6.0 μs to travel from detector T to detector S.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that, if the muons move at non-relativistic speed, the number of muons detected at sea level would be approximately 36 per hour.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The muons in (a) move toward the surface of Earth with a relativistic speed of 0.968c.</p>
<p>(i) Determine the half-life of the muons according to the observer at rest on the mountain.</p>
<p>(ii) The number of muons observed at detector S is 285 per hour. Explain, using your answers to (a) and (b)(i), how this observation provides evidence for time dilation.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativity.</p>
<p>Carrie is in a spaceship that is travelling towards a star in a straight-line at constant velocity as observed by Peter. Peter is at rest relative to the star.</p>
</div>
<div class="question">
<p>Carrie and Louise, two observers in a spaceship, view a light source placed close to Carrie. When the spaceship is travelling at a constant velocity, they both measure the frequency of the light source and obtain identical values.</p>
<p><img 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" alt></p>
<p>The magnitude of the velocity of the spaceship increases.</p>
<p>State and explain any changes to the frequency of the light source, as measured by Louise, that occur during the acceleration.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about mass and energy.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the variation with the fraction \(\frac{v}{c}\), of the kinetic energy <em>E</em><sub>K</sub> of a particle, where <em>v</em> is the speed of the particle.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">Determine, using the value <em>E</em><sub>K</sub> =360 MeV from the graph, the rest mass of the particle in MeV c<sup>–2</sup>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine, using data from the graph, the potential difference required to accelerate the particle in (a) from a speed of 0.63c to a speed of 0.96c. The charge of the particle is +<em>e</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about gravitational red-shift.</p>
<p>An observer is in a space capsule moving at a constant speed in the absence of gravitational fields.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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" alt></p>
<p> </p>
<p>A monochromatic source of gamma rays is fixed to the rear wall of the capsule. An observer at the other end of the capsule measures the frequency of the gamma rays.</p>
<p>The capsule now starts to decelerate.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce the change in the frequency of the gamma rays, as measured by the observer, when the deceleration begins.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline, with reference to the principle of equivalence, how the situation in (a) relates to the concept of gravitational red-shift.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about black holes.</p>
</div>
<div class="question">
<p>Sirius B has a mass of 2.0×10<sup>30</sup> kg.</p>
<p>Calculate the minimum density required for Sirius B to become a black hole in the future.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about the equivalence principle.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the equivalence principle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows two identical boxes in two different states of motion.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">In <strong>diagram 1</strong> the box is in free fall close to the surface of a planet. In <strong>diagram 2</strong> the box is accelerating in a region of space far from other masses.</p>
<p style="text-align: left;">A ray of monochromatic light is emitted from the base B of each box and is received at the top T of each box.</p>
<p style="text-align: left;">Observers at B measure the frequency of the emitted light to be ƒ<sub>0</sub>.</p>
<p>State and explain, for each state of motion in diagram 1 and 2, if the frequency of light measured by an observer at T will be less than, equal to <strong>or</strong> greater than ƒ<sub>0</sub>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Radio signals, sent at the same time from Earth, reflect off two satellites X and Y as shown. The satellites are at the same distance from Earth.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The signal from Earth to satellite X and the reflected signal pass close to the Sun.</p>
<p style="text-align: left;">Compare, using the theory of general relativity, the arrival times at Earth of the signal from X and the signal from Y.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question about general relativity.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the principle of equivalence.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A gamma-ray photon is emitted from the base of a tower towards the top of the tower.</p>
<p><img 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PcSLwQQQAABBBBAwGGBbzlcO6UjgAACCCCAAAK+AIGGPwQEEEAAAQQQcF6AQON8C9kBBBBAAAEEECDQ8DeAAAIIIIAAAs4LEGicbyE7gAACCCCAAAIEGv4GEEAAAQQQQMB5AQKN8y1kBxBAAAEEEECAQMPfAAIIIIAAAgg4L0Cgcb6F7AACCCCAAAIIEGj4G0AAAQQQQAAB5wUINM63kB1AAAEEEEAAAQINfwMIIIAAAggg4LwAgcb5FrIDCCCAAAIIIPBtCBBIF4Gsjp3SZVfZTwR8gdJ9ZUggkDYCBJq0aTU7agT4H3j+DtJFgACfLp1mPyMCHHKKSPATAQQQQAABBJwVINA42zoKRwABBJpR4MDzmrVkVzNugFUjEF8BAk18PVkbAgggkAICX6ukoECvV6XArrALaSNAoEmbVrOjCCCAQGwCVaXLNa2A2ZnYtFgqKAIEmqB0gjoQQACBIAhUvKE54+arpDIIxVADArELEGhit2JJBBBAIKUFqso26J6RY7Rox6GU3k92LjUFCDSp2Vf2CgEEEGiEwAGV5P9C/fqP1cqaMHNYb0+7RObyb/+fMydqc9RZm8PaV/QHLbprkM6MLNuxmy4YNUMFa0pUUa+KCm2+67wj6635zlkanF99mKuyaKLOqXk/vP3w7+fctVlHyqjUvvxhtdfVUJ1VZdq8ZL7uvrK7tXxfjX5omTaXHa5XZfUbnsuaBd53fhSurUoVJSvD6zD7mK+SCk40agAv8W+HeCGQJgKdO3RMkz1lNxEIhY737/2fhXeFzvb+b6VzhzNDgx5/7+iU5W+F8nN/HOrce1RoTuHe0Df+0v8IlRXODeX17urXcMYVs0NvlVd/cmRln4e2PT0pNKiL2Y755yehiYWfHvnYjL7ZG9o06crQGf7nZpkfh8as3hPeRu1FQ+UvhSb2PjN0fu7joW31tmVW9XRoTO8eoUETVoQ//yZUvm1FaOIV51Zvv8uQ0ENvfV6z0m/2FoWWzBwVOr9m28bi3VB54STrPVNTj1De6o9qvscguQLM0CQ+Q7JFBBBAwH2Bqp0qyL1RM4pP16Tlj+qOnE7K8PfqRHXMGafHVkzVgHaZqtzxqK4b+Yi21prJaKPsYffq/rxuYYfv6JTW361tktFJP33w18o9PbP6/cyzdPGFHcPbqL2oqg7pQEVfjZ+Vq+xW1VVElqgqe0Zjr52hz0et0JpZI8KfZ6hV9gjNXDZHQ70aVVmiRSNuUUGpman5WM9NvUNTFxZqf2Ql3s+qnYt006Nt9B/bd2nr2snKMd9r92Nd1vMUaymGyRQg0CRTn20jgAACTgocVumSKZq97bDaDcnVNVkn1tuLjE5Xa9qEC2XiSOWORfrV9KI6h59OUnbeGOX4eaVM6196V/UO3mScpQFXhB9ZUrlFTz27u/4y3jsHXnlZu64cqpw2tcNMdTiZoU26TGOHdq0fhlpdoOFDIuvfqt+vfsdb27/qqsUl3l3F9+gvcwb49UuH9dc/7tdPHx6rXq0yvTA0Wvlbdql0y3xd1an+vtfD4I2ECBBoEsLMRhBAAIEUEqh4VfmLt3rnsnxXZ/c+R62i7lqG2gweE55hqdT+tUu02p8BsRZu00eX9TPfrtSHz7+sHfUSjRd6hl2jc/2vHFLJ0ueiLPM3/XnD57r82gvq1VFV8nv9trBCmef8UN3rzNxUV/Ed/aBLh3BoqVtDhk5u3TocgjJ1et6dujFKcLP2hmGSBQg0SW4Am0cAAQTcEvBmRApXad1+c2puV/Xu2bbh8mvNsGzXC0Xv11n2VP1k4L9VB4oPi7Rpx9d1Pve2te1N7Yy8G22ZA1u0sbSXBnQ/KbJU+GelPnhrqz70fqssHK8fRT3JuIt+NH7TkZOMPz+oiv+usxr/1wy1PqVl/RmeaIvyXtIECDRJo2fDCCCAgIsCh7TjP98+EgKOugv2DMhh7d79UZ3vebM4F16qvg0ddqrarsXzpXF3XxSeRal7aKr6cFPpZT9V97pHm/R3le3+wK/uxGFLtNN78rh5OO1R/9n5kPr7tRx1p/gwoAIEmoA2hrIQQACBYAp8qtKd9S/Gjl6rfdjGOxNl5x59VHfBoxx2qtrxirZdNkZ5o2+uOXRV+9BU9eGmSy8+K8rsydcqP1B9OXbVgXJ9WXe7/J5yAgSalGspO4QAAggkSuALHaw4cleYaFvN7NTFOzBV/cps20Yt6y3U0GGnz1S84l31NGHFPnRlH3Zq8HCT2chXOvhZdaCpfG+33q93fk69QnjDcQECjeMNpHwEEEAgsQItdErbyJU9n2r33lhnazJ1arcO9U7clTe3EvWw04FX9fS+3rraPzfmJHW/OEen+ztapudWvOZdMXW0w01mwe8r68zw6cp2CGoQy1vf8+tUfPR81uC3+SD5AgSa5PeAChBAAAGHBNqqZ5/InMvftWvPJ1EupT6yO1UVB1Xu/9pJl0c9NOR9WO+wkwkrr0nDL1dW+NyYjO6D9L97mvkdc8XUKhUd+Ni/uin64SazwX9RqzYnm4H32qUlDy5X6dFmaap2a+3GD9SS/ypWkzn4b1rnYNMoGQEEEEieQKba5wxQdqapwLvUee0aFde6aZ5dmfeogL2l+pt56/ScKFciRZa1Dzut1O/WPO+dDPwP70Z6p0YW8CZyumrIdX2qTw6ufFMbV61u4OqmyFfsWR2v0m3zNf6+DdoXNdR4df55uV7scH6Uk4sj6+Nn0AUINEHvEPUhgAACCRT4VutT9D1/e1UqP3go6uxLRtZgjR3Sobqq/S9owapoN7wzHx/0roja5cWelsq+YdBRwoJ92KlCr86do9cvG6VBtW6UV3uZopkLtSvq1U3VZZl/H5nVMb8d0ttPjdWlQyaqoKjsyH6ZZzzlT9bPf7lHl15zTpSTi813G7Ywn/IKhgCBJhh9oAoEEEAgEAIZP+iqbnVnX7z/6L88eZzmlkTuE9NW/SfP0Jju5hCQd8O7WVP0RN2b5nmfVJWu04K1H6vdxfdqdu6ZDYSF8G63uVS/DD8KoXL/STo/2uGpNn31s0iQyrxQt+X1OPo6M87UjQ/fGp5Nqt5O5Y5nNCM3R90i96XJylHetLX67MrodzwOf0ufH/hSUW9REy6fH8kXINAkvwdUgAACCARHoNXZ6n1u+Fqk/SuU16OLsrIG6dH/MUy52dbN61qdp/G/nakRJtR4jyWYcd0tmlsz82GewD1PN103V5/0n6rlC4epY737xNTd5SOHiDIvGqNR9rZqFm2rftde5p8cnNnvUv2k1gxOzUK1BhlZuSp4JvzspVqfRH7J9AKXV+OMAbVPWK54Q/Me2eg99KD6dbj4WT3f4FO5I+viZzIFCDTJ1GfbCCCAQNAEvFmNvCVPaNJF1dcUKbO7hs5aqicnnlf7P/he3RmdBmraHzdr9Zw7NfT7f9GCmpmPH+n2F/9Fly38P3rt8VjCTDVCRvef6vLT26rvwD5q04BLLMvU/qp5EKX37KUXn9bDdw/Tuf7sU/USmd2HadKSP6m4Vo2V2pc/TFk9fqZFOw4dWZV3aG1C/7OU1XGYCsq4FOoITHBGJ5iHfQenHCpBoPkEsrwpZnOXUF4IpIMAf+/p0GX20RZghsbWYIwAAggggAACTgoQaJxsG0UjgAACCCCAgC1AoLE1GCOAAAIIIICAkwIEGifbRtEIIIAAAgggYAsQaGwNxggggAACCCDgpACBxsm2UTQCCCCAAAII2AIEGluDMQIIIIAAAgg4KUCgcbJtFI0AAggggAACtgCBxtZgjAACCCCAAAJOChBonGwbRSOAAAIIIICALUCgsTUYI4AAAggggICTAgQaJ9tG0QgggAACCCBgCxBobA3GCCCAAAIIIOCkAIHGybZRNAIIIIAAAgjYAgQaW4MxAggggAACCDgpQKBxsm0UjQACCCCAAAK2AIHG1mCMAAIIIIAAAk4KEGicbBtFI4AAAggggIAtQKCxNRgjgAACCCCAgJMCBBon20bRCCCAAAIIIGALEGhsDcYIIIAAAggg4KQAgcbJtlE0AggggAACCNgCBBpbgzECCCCAAAIIOClAoHGybRSNAAIIIIAAArYAgcbWYIwAAggggAACTgoQaJxsG0UjgAACCCCAgC1AoLE1GCOAAAIIIICAkwIEGifbRtEIIIAAAgggYAsQaGwNxggggAACCCDgpACBxsm2UTQCCCCAAAII2AIEGluDMQIIIIAAAgg4KUCgcbJtFI0AAggggAACtgCBxtZgjAACCCCAAAJOChBonGwbRSOAAAIIIICALUCgsTUYI4AAAggggICTAgQaJ9tG0QgggAACCCBgCxBobA3GCCCAAAIIIOCkAIHGybZRNAIIIIAAAgjYAgQaW4MxAggggAACCDgpQKBxsm0UjQACCCCAAAK2AIHG1mCMAAIIIIAAAk4KEGicbBtFI4AAAggggIAtQKCxNRgjgAACCCCAgJMCBBon20bRCCCAAAIIIGALEGhsDcYIIIAAAggg4KQAgcbJtlE0AggggAACCNgCBBpbgzECCCCAAAIIOClAoHGybRSNAAIIIIAAArYAgcbWYIwAAggggAACTgoQaJxsG0UjgAACCCCAgC1AoLE1GCOAAAIIIICAkwIEGifbRtEIIIAAAgggYAsQaGwNxggggAACCCDgpACBxsm2UTQCCCCAAAII2AIEGluDMQIIIIAAAgg4KUCgcbJtFI0AAggggAACtgCBxtZgjAACCCCAAAJOChBonGwbRSOAAAIIIICALUCgsTUYI4AAAggggICTAgQaJ9tG0QgggAACCCBgCxBobA3GCCCAAAIIIOCkAIHGybZRNAIIIIAAAgjYAgQaW4MxAggggAACCDgpQKBxsm0UjQACCCCAAAK2AIHG1mCMAAIIIIAAAk4KEGicbBtFI4AAAggggIAtQKCxNRgjgAACCCCAgJMCBBon20bRCCCAAAIIIGALEGhsDcYIIIAAAggg4KQAgcbJtlE0AggggAACCNgCBBpbgzECCCCAAAIIOClAoHGybRSNAAIIIIAAArYAgcbWYIwAAggggAACTgoQaJxsG0UjgAACCCCAgC1AoLE1GCOAAAIIIICAkwIEGifbRtEIIIAAAgggYAsQaGwNxggggAACCCDgpACBxsm2UTQCCCCAAAII2AIEGluDMQIIIIAAAgg4KUCgcbJtFI0AAggggAACtgCBxtZgjAACCCCAAAJOChBonGwbRSOAAAIIIICALUCgsTUYI4AAAggggICTAgQaJ9tG0QgggAACCCBgCxBobA3GCCCAAAIIIOCkAIHGybZRNAIIIIAAAgjYAgQaW4MxAggggAACCDgpQKBxsm0UjQACCCCAAAK2AIHG1mCMAAIIIIAAAk4KEGicbBtFI4AAAggggIAtQKCxNRgjgAACCCCAgJMCBBon20bRCCCAAAIIIGALEGhsDcYIIIAAAggg4KQAgcbJtlE0AggggAACCNgCBBpbgzECCCCAAAIIOClAoHGybRSNAAIIIIAAArYAgcbWYIwAAggggAACTgoQaJxsG0UjgAACCCCAgC1AoLE1GCOAAAIIIICAkwIEGifbRtEIIIAAAgggYAsQaGwNxggggAACCCDgpACBxsm2UTQCCCCAAAII2AIEGluDMQIIIIAAAgg4KUCgcbJtFI0AAggggAACtgCBxtZgjAACCCCAAAJOChBonGwbRSOAAAIIIICALUCgsTUYI4AAAggggICTAgQaJ9tG0QgggAACCCBgCxBobA3GCCCAAAIIIOCkAIHGybZRNAIIIIAAAgjYAgQaW4MxAggggAACCDgpQKBxsm0UjQACCCCAAAK2AIHG1mCMAAIIIIAAAk4KEGicbBtFI4AAAggggIAtQKCxNRgjgAACCCCAgJMCBBon20bRCCCAAAIIIGALEGhsDcYIIIAAAggg4KQAgcbJtlE0AggggAACCNgCBBpbgzECCCCAAAIIOClAoHGybRSNAAIIIIAAArYAgcbWYIwAAggggAACTgoQaJxsG0UjgAACCCCAgC1AoLE1GCOAAAIIIICAkwIEGifbRtEIIIAAAgggYAsQaGwNxggggAACCCDgpACBxsm2UTQCCCCAAAII2AIEGluDMQIIIIAAAgg4KUCgcbJtFI0AAggggAACtgCBxtZgjAACCCCAAAJOChBonGwbRSOAAAIIIICALUCgsTUYI4AAAggggICTAgQaJ9tG0QgggAACCCBgCxBobA3GCCCAAAIIIOCkAIHGybZRNAIIIIAAAgjYAgQaW4MxAggggAACCDgpQKBxsm0UjQACCCCAAAK2AIHG1mCMAAIIIIAAAk4KEGicbBtFI4AAAggggIAtQKCxNRgjgAACCCCAgJMCBBon20bRCCCAAAIIIGALEGhsDcYIIIAAAggg4KQAgcbJtlE0AggggAACCNgCBBpbgzECCCCAAAIIOClAoHGybRSNAAIIIIAAArYAgcbWYIwAAggggAACTgoQaJxsG0UjgAACCCCAgC1AoLE1GCOAAAIIIICAkwIEGifbRtEIIIAAAgggYAsQaGwNxggggAACCCDgpACBxsm2UTQCCCCAAAII2AIEGluDMQIIIIAAAgg4KUCgcbJtFI0AAggggAACtgCBxtZgjAACCCCAAAJOChBonGwbRSOAAAIIIICALUCgsTUYI4AAAggggICTAgQaJ9tG0QgggAACCCBgCxBobA3GCCCAAAIIIOCkAIHGybZRNAIIIIAAAgjYAgQaW4MxAggggAACCDgpQKBxsm0UjQACCCCAAAK2AIHG1mCMAAIIIIAAAk4KEGicbBtFI4AAAggggIAtQKCxNRgjgAACCCCAgJMCBBon20bRCCCAAAIIIGALEGhsDcYIIIAAAggg4KQAgcbJtlE0AggggAACCNgCBBpbgzECCCCAAAIIOClAoHGybRSNAAIIIIAAArYAgcbWYIwAAggggAACTgoQaJxsG0UjgAACCCCAgC1AoLE1GCOAAAIIIICAkwIEGifbRtEIIIAAAgggYAsQaGwNxggggAACCCDgpACBxsm2UTQCCCCAAAII2AIEGluDMQIIIIAAAgg4KUCgcbJtFI0AAggggAACtgCBxtZgjAACCCCAAAJOChBonGwbRSOAAAIIIICALUCgsTUYI4AAAggggICTAgQaJ9tG0QgggAACCCBgCxBobA3GCCCAAAIIIOCkAIHGybZRNAIIIIAAAgjYAgQaW4MxAggggAACCDgpQKBxsm0UjQACCCCAAAK2AIHG1mCMAAIIIIAAAk4KEGicbBtFI4AAAggggIAtQKCxNRgjgAACCCCAgJMCBBon20bRCCCAAAIIIGALEGhsDcYIIIAAAggg4KQAgcbJtlE0AggggAACCNgCBBpbgzECCCCAAAIIOClAoHGybRSNAAIIIIAAArYAgcbWYIwAAggggAACTgoQaJxsG0UjgAACCCCAgC1AoLE1GCOAAAIIIICAkwIEGifbRtEIIIAAAgggYAsQaGwNxggggAACCCDgpACBxsm2UTQCCCCAAAII2AIEGluDMQIIIIAAAgg4KUCgcbJtFI0AAggggAACtgCBxtZgjAACCCCAAAJOChBonGwbRSOAAAIIIICALUCgsTUYI4BAQgT279+vvNxRCdkWG0EAgfQQINCkR5/ZSwQCJbBo4WPaXFSkkpKSQNVFMQgg4K4Agcbd3lE5Ak4KmNmZZUuX+rX/dt4jTu4DRSOAQPAECDTB6wkVIZDSAmZ2JvJ6tbiYWZoIBj8RQKBJAgSaJvHxZQQQaIyAPTtjvnfCCSeIWZrGCLIsAgg0JECgaUiG9xFAIO4C9uyMWXkoFBKzNHFnZoUIpKUAgSYt285OI5B4gbqzM5EKmKWJSPATAQSaIkCgaYoe30UAgZgF6s7ORL7ILE1Egp8IINAUAQJNU/T4LgIIxCTQ0OxM5MvM0kQk+IkAAscrQKA5Xjm+hwACMQs0NDsTWQGzNBEJfiKAwPEKEGiOV47vIYBATALHmp2JrIRZmogEPxMiUFWmzUtmaHSf7hqcvyshm2QjzSvw7eZdPWtHAIF0FzjW7EzEx56lyc7OjrzNTwTiK1BRomdXrtSyOc/o7Uqz6hN1bny3wNqSJMAMTZLg2SwC6SAQ6+xMxIJZmogEP5tHoEKbp0/Qsjff12d+mGmerbDW5AgQaJLjzlYRSAuBWGdnIhj2LE3kPX4iED+BVuo/62WtW/wH/XHOAGXGb8VNX9OB5zVrCYe+mgJJoGmKHt9FAIEGBRo7OxNZEbM0EQl+Np9Ahk5u3VoZzbeBRq75a5UUFOj1qkZ+jcVrCRBoanHwCwIIxEugsbMzke0ySxOR4Ge6CFSVLte0AmZnmtpvAk1TBfk+AgjUEzje2ZnIipiliUjwM+UFKt7QnHHzVcI5PU1uNYGmyYSsAAEE6goc7+xMZD3M0kQk+JnKAlVlG3TPyDFatONQKu9mwvaNy7YTRs2GEEgfgdNOP02T7pkcdYf/67/+qT9t3Kh33nlHPXv10iWXXhJ1Od5EIKqAuex61YvauHiD2kx/XjNzWqmqbLOeWPiIZj+zQ2aiI7P7MN15+026MadTI8+TOaCSNQX63cOLVbTfW1Nmdw2d9oDuHpatVlGLibx5WPuKVutPL67SvHAN3pfV7qIbdePAS3XN1XW/720nf5JumbZJ+yOr0GG9Pe0SZU0Lv3HiMBW8/ZD61ztzubHbqtmAPChtXrpSTz2+Qp+NWq11o7t5H5p9Xqmnly7SKhOszD7fdbtuyu2vjsE5ycjaiaMMvf9PiBcCaSHQuUPHtNjPIO9k8Z+LQ72ys0OmFw/8+v4gl+p8ban19/5NqHzb2tBjE64MneH97Zh969yhT2hi4eeh8rdmhwZ1ibxn/zw3NGjm66HyBjr5z8K7Qmf76zkzNOjx90Khb/aE1oz+cXjdtddz9ePvhr5pYD1eAaH8XO97vUeF5hTuDS/3j1BZ4dxQXu+u/vrOuGJ26K3y6GuoV0dD2zHvH++2yreF1swcFTq/xu5Y+9w1dP6Elxq0O1qJyfyMQ05HCXt8hAAC8RHYs3uP8nJH6ecjR6q1d3XJk8uW6f4pD8Rn5awl9QUqizXz2nGaVTP7Ub3L3+wqUN5t76rfoiLt2lem0tIiFdxykdr5Hx/S2wvHKC9/p4558VDVHj178yRt7PZrFZZ669m3R1vX3KJz/dmRQyqZNVfPHYiylqqdKsi9UTOKT9ek5Y/qjpoZoRPVMWecHlsxVQPaZapyx6O6buQj2loRZR2xdu+4t/Wxnh2fqwkLC63ZIG+jVX9VwdBfamPWOK3evqfOPldq/9pVKoq2z7HWm4TlCDRJQGeTCKSLgDk5eMr9D+iSAQO0fXuJfxhq7XPPqW+/vulCwH7GQyCzv2buNEHjNT18UeTgz36tffJD/ez3VpDI6KT+dz6qZff0Cd9jxgsji5ep+KhBwjvUM6dAe8YsVP6dA8KHWTLUqtfNuj/PHJLxXpVv6y//t+55LodVumSKZm87rHZDcnVN1onVy1r/zuh0taZNuNCvpXLHIv1qepEqrM9jHzZlW/+qqxaXeHbvaPXN4f0xh7fmLNPBe55S/sSrlN3KHFuqu89vauMrf4u9xAAsSaAJQBMoAYFUE/jqq69UkJ+vC/qcp2VLl2rkDTfohQ0blDd6tFq0aJFqu8v+JEygrXr26RreWjsNnf6grupUN0icqKzcO5V7evjkk/0b9VTh0f7D7D364K6ZuqtXmzp7cZL+17/18B6MYF4V2ln6ae3PK15V/uKt3jk739XZvc9p4BybDLUZPCZci5n1WKLVpYdrryeW3+KyLXt/Ytnnw/rs4FexVBeYZQg0gWkFhSCQGgIb1m/Qhf36aca06Ro8ZLBe2/KGf3ipXbvqAwGpsZfsRaAFMs7SgCs6hUv8u3bt+eTYh50atUNVOlC4SuvMicPqqt492zb8bbuWyu16oej9hpeN+kkitxW1AGfeJNA40yoKRSDYAmZWxpwnc+vYsf55MqvXPqs58+aJIBPsvqVmdfZsRKU+P/Cl/juuO3pIO/7zbf+KqmOv9jv6QZcO4UNgh7V790cxfi+y5kRuK7JNN38SaNzsG1UjECgBc9KvmZXZXFTknyezqbBQPDE7UC1Ku2IyO3Xx5k6a6/WpSnfGejZM7ccsHN65Rx81qqxEbqtRhQVuYe5DE7iWUBACbgmYmZmbbxrjF22uXuKEX7f6R7VNFfhCByv8u980uKJIuHrbWyKzbRu1bHDJY32QyG0dq5bgfc4MTfB6QkUIOCWw/oX12lu61ztBcjFhxqnOpUuxmfpem5MV3//YtdApbSMnI3+q3Xtjna3J1KndOjRwAnFD/UjkthqqwY3349tjN/aZKhFAII4Cm156ybvjb08OMcXRNN1XVVJSIvOPOZR5vK+qioMq97/8XXXr8j8becfgY23Vvtrq2CcdH6mlky6/+KxG1pLIbR1rv4P9OYecgt0fqkMg8ALt27f37zFjDj1xSXbg25W0Ak1AMa+vDn2l997b6Y8/+vAjffDBB/7Y3Keo/GB1BPHf8P7V+pTWemvbtsivjfhZpYq9pfIv1m53mX520amN+G4si2aqfc4AZc9603uoZKU+XLtGxWN6qL9/P5e637dqOT1HA7qfVHeBY/yeyG0do5SAf0ygCXiDKA+BoAtcd/31/r1mbvTuNfOEd88ZQk3QOxa/+o4npNhbN4GlR49s/60rrrhS5hlg5nXGGWeqRctj3a8ofG8Y71lO9V9/0583vOldTdRS2aNGql/UoFH/W415JyNrsMYOWa68Z/6ftP8FLVjlbWf0mVFmXw56V0Ttqq7lhkHqXuf5SN9qfYq+5234Q+/C8vKDh/zLy+ssonhtqzH75+KyBBoXu0bNCARIoEvXLpq/YIF/ufaQQYO08LFFMu/xclMgESElPlfAeXe7XfykNg99sM7MiDcjUvSo5hRWKLPnZD2UGy1k2L2JXErdLXxptf1ZZBxtmbbqP3mGxuysflp2yawpeiLnCeXVuWNwVek6LVj7sdpdPFWzo9SS8YOu6ubdA/BDe6an5ft6+b7/0I6h03RHtpnRice2qvRleXn4fjzR9ieyr5GfsSwTWTYYPwk0wegDVSDgtMDAywd69S/Qr++713/MgXnS9ohrr2W2JgBdNYcCd+/e7VfSmMM9dumxzKTEJ6TYWz3W+ETvmU0bdfNI6cEp4zU029zp13ty9DNzNOWeFTrQ/RYtX5KrrLrTHWa1FVu1dPnr3gMAql+Hi5/V82Xn1b7rcFWpnl95jGVanafxv52pL267Wyt3bNGM627Rl9Pv0W3+M53MU7EXatrkx/VJ/6lavnBY9KdXtzpbvc9tqaJt3qMV9q9QXo8VXlEtde7Ni/SkH2bCRTZ1W1W7tXb5lpp74Bz3PofLCeKPE8yTMYNYGDUhEG+BrI6dvOeZlMV7tazPEjDPbrp38j3+/Wg6Z3XWuDvGqzrsWAsxbLKAHVI++fgTffxx9Z1N3v3rX/XFF1/66zf3BDrayw4p5jyoaId7Eh9Sjlax+axS+/Kv00XT3vTG3qMPlvxBw8tX63cPL1aRf9de77Lo7sM07oYRGn51dpSriezvR9lW98kq/OPPpZptNLTMaHWs9ZEXpNas1NNLF2nVDi+Y+C8vlAwbo5HXjtBVftiq9YXav3gBq2D87ZpR+KHZAQ2d9oDuHhatfvO1xm6rufa59i4E4TcCTRC6QA0JESDQJITZ38irxa/qN1Me8C/n7p+To7G33sJVUMfgj3dIidzk0GzWPicleCHlGDC1Prb/42wCzUbNjHoOTa0v8UuaCHDIKU0azW4ikEgBc3M9c7dg84DKxxYu1DVDrpIJNlOnT0urRyHEO6SYh3zGOpNiArx5GCgvBNJFgECTLp1mPxFIgoD5D6o5l2blihV+sDFP3x576636xZhfOHt+TTxCijkc16FDR78jxuPkk6vvHdvrhz/032vZoiUnVifh75VNui1AoHG7f1SPQOAFzGXcJtj8+xVX6OGHHtKC+fO1ccN6zZo9OzCHoQgpgf8zokAEjilAoDkmEQsggEA8BMxTt83Ttwd7h5/G3X6bfxjKXO7dXCcNE1Li0bWgraPSu1fLF+GiDutA+dfeONp9aIJWN/UkQoCTghOhzDYCIcBJwYFog1+EuRrq1rFjtW3rNq1e+2zMMzXxDilnn3NOyh7uScW/96qyZzT22nu1qeaKJu/S7GW3q1cz3DgvOP/XQiWxChBoYpViOecFUvF/4F1uigknF/brp9NOO00P/OY3/q4c7yXI9jkpqRxSGtPvlPp7L8vX4P7TZZ5WHfXlX25d91LqqEvyZgoLEGhSuLnsWm2BlPof+Nq75uxv5iqoGdOmR62fkBKVJeY3+XuPmYoFU0SAc2hSpJHsBgIuCmx5Y4u+f+r39bvHHvPL5+oeF7tIzQgEQ4BAE4w+UAUCaScw5f4H/DsKm8ckuH2zt7RrHTuMQCAFCDSBbAtFIZC6Aubcmfvvu0/r1q6TuVEcN39L3V6zZwgkUoBAk0httoVAmguYRyKYS7bLD5b7N9i7Y/wdaS7C7iOAQLwECDTxkmQ9CCDQoMCe3Xs0c8aMmodW5i9ezGGmBrX4AAEEjkeAQHM8anwHAQRiEjD3m1m08DEtW7pU5unO5nwZ8ygEc/dgXggggEA8BQg08dRkXQgg4AuY82TM85sil2Sbc2XGT7iTIMPfBwIINJsAgabZaFkxAukpsGH9Bv36vnv982QGDxmsCRMnptUTttOz6+w1AskXINAkvwdUgEBKCJhZmdt/dRvnyaREN9kJBNwTINC41zMqRiBwAuak3xHDh/mzMuY8GS7FDlyLKAiBlBcg0KR8i9lBBJpXwMzMmDBjXk8uW6a+/fo27wZZOwIIIBBFgEATBYW3EEAgdoH1L6z3Z2Ya89Ts2NfOkggggEBsAt+KbTGWQgABBKILbHrpJfXs1ZP7ykTn4V0EEEiQAIEmQdBsBoFUFWjfvr3KyspkDj3xQgABBJIlQKBJljzbRSBFBK67/nr/kNON3r1mCDUp0lR2AwEHBQg0DjaNkhEIkkCXrl00f8ECbdu6TUMGDZK54okXAgggkGgBAk2ixdkeAikoMPDygX6oKS8v1yUDBqggP5/ZmhTsM7uEQJAFCDRB7g61IeCQgAk1L2zYoP45Of4jD8xsjblrMC8EEEAgEQIEmkQosw0E0kSgXbt2Kliy2L8fjdnlW8eOVV7uKJWUlKSJALuJAALJEiDQJEue7SKQwgLm5nqbCgs1feZMbd9eomuGXOUHG/P0bV4IIIBAcwgQaJpDlXUigIAvMHzEcL1SXCzzOAQTbC7oc57mzpnL+TX8fSCAQNwFCDRxJ2WFCCBgC7Ro0cJ/tpM5v8Y8fXvB/Pm6sF8/DkPZSIwRQKDJAgSaJhOyAgQQiEXAnF8zZ968mvNrzGEoThqORY5lEEAgFgECTSxKLIMAAnETMOfXmNka87gEc9IwJwzHjZYVIZDWAgSatG4/O49AcgTMbM0TS5eqc1ZnTZ86NTlFsFUEEEgpAQJNSrWTnUHAHQFzbs3wESP8Owy7UzWVIoBAUAUINEHtDHUhkAYCW97Y4s/SpMGusosIINDMAgSaZgZm9QggEF1gyv0PaHNRkT9LE30J3kUAAQRiF/h27IuyJAIIINB0AfNE7vvvu0/r1q7TSO8J3XmjRzd9pawBAQTSXoBAk/Z/AgAgkDiBV4tf1bjbb1P5wXKNvfVW3TH+jsRtnC0hgEBKCxBoUrq97BwCwRAwl2YvmP+of4jJXNmUv3ixsrOzg1EcVSCAQEoIEGhSoo3sBALBFDDPblq08DEt8y7Rbn1Ka/8RCBxiCmavqAoB1wUINK53kPoRCKCAOU/m8UWP+485MOWZc2XGT7hT5lJtXggggEBzCBBomkOVdSKQxgJPr3xaD896yD9Pxjy7acLEiTI30uOFAAIINKcAgaY5dVk3AmkkYGZlbv/Vbf55MuaxBpwnk0bNZ1cRCIAAgSYATaAEBFwX2LN7j0YMH+bPyky6ZzKXYrveUOpHwEEBAo2DTaNkBIIkYGZmTJgxr9Vrn+XqpSA1h1oQSCMBAk0aNZtdRaA5BNa/sN6fmSHMNIcu60QAgVgFePRBrFIshwACUQU2vfSSzDkz3FcmKg9vIoBAggQINAmCZjMIpKpA+/btVVZWJnPPGV4IIIBAsgQINMmSZ7sIpIjAdddf7x9yunXsWJnzaXghgAACyRAg0CRDnW0ikEICXbp20fwFC7Rt6zYNGTRI5oonXggggECiBQg0iRZnewikoMDAywf6oaa8vFyXDBiggvx8ZmtSsM/sEgJBFiDQBLk71IaAQwIm1LywYYP65+RoxrTp/mzNhvUbHNoDSkUAAZcFCDQud4/aEQiYgHnEQcGSxXpy2TK/MnNezdCrr5Z52jYvBBBAoDkFCDTNqcu6EUhTgb79+mpTYaGmz5zpXwF1zZCrlJc7ivNr0vTvgd1GIBECBJpEKLMNBNJUYPiI4XqluFjmcQjbt5f459fMnTOX82vS9O+B3UagOQUINM2py7oRQEAtWrTwn+1kzq8xT99eMH++LuzXj8NQ/G0ggEBcBQg0ceVkZQgg0JCAOb9mzrx5NefXmMNQnDTckBbvI4BAYwUINI0VY3kEEGiSgDm/xhyGMo9LMCcNc8Jwkzj5MgIIhAUINPwpIIBAwgXMYagnli5V56zOmj51asK3zwYRQCD1BAg0qddT9ggBJwRMqBk+YoR/h2EnCqZIBBAItMAJIe/V2AqzOnZq7FdYHgEEEEAAAQQQiEmgdF9ZTMvZCx1XoLFXwBgBBBBAAAEEEEi2AIeckt0Bto8AAggggAACTRYg0DSZkBUggAACCCCAQLIFCDTJ7gDbRwABBBBAAIEmCxBomkzIChBAAAEEEEAg2QIEmmR3gO0jgAACCCCAQJMFCDRNJmQFCCCAAAIIIJBsAQJNsjvA9hFAAAEEEECgyQIEmiYTsgIEEEAAAQQQSLYAgSbZHWD7CCCAAAIIINBkgf8PkzTTFhpcKjgAAAAASUVORK5CYII=" alt></p>
<p>(i) Explain, using the principle of equivalence, why the frequency of the photon as measured at the top of the tower is less than that measured at the base of the tower.</p>
<p>(ii) The frequency of the photon at the base is 3.5×10<sup>18 </sup>Hz and the tower is 23 m high. Determine the shift Δ<em>f</em> in the frequency of the photon at the top of the tower.</p>
<p>(iii) Suggest, using your answer to (b)(ii), why the photon frequency must be measured very precisely for this experiment to be successful.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about black holes.</p>
<p>The diagram shows the path of a light ray in the space around a black hole.</p>
<p><img 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" alt></p>
<p>The radius of the dotted circle is the Schwarzschild radius of the black hole.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define the <em>Schwarzschild radius</em> of a black hole.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, using the concept of spacetime, why the path of the light ray is straight at distances far from the black hole and curved when near the black hole.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic mechanics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In an experiment at CERN in 1964, a neutral pion moving at a speed of 0.99975c with respect to the laboratory decayed into two photons. The speed of each photon was measured with respect to the laboratory.</p>
<p>Describe how the result of this experiment provided support for special relativity.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In another experiment, a neutral pion moving at 0.80c relative to a laboratory decayed into two photons as shown in the diagram.</p>
<p><img 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" alt></p>
<p>Photon R moved in the direction of the pion and photon L in the opposite direction. The rest mass of the pion is 135 MeVc<sup>–2</sup>.</p>
<p>According to a laboratory observer,</p>
<p>(i) determine the total energy of the pion in MeV.</p>
<p>(ii) determine the momentum of the pion, in MeVc<sup>–1</sup>.</p>
<p>(iii) state and explain which photon, R <strong>or</strong> L, has the greater energy.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic kinematics.</p>
<p>Speedy is in a spacecraft being chased by Police Officer Sylvester. In Officer Sylvester’s frame of reference, Speedy is moving directly towards Officer Sylvester at 0.25c.</p>
<p><img 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" alt></p>
</div>
<div class="question">
<p>Officer Sylvester switches on the blue flashing lamps on his police spacecraft.</p>
<p>(i) Calculate, assuming that a Galilean transformation applies to this situation, the value of the speed of the light that Speedy would measure using the flashing lamps. </p>
<p>(ii) Speedy measures the speed of the light emitted by the flashing lamps. Deduce, using the relativistic addition of velocities, that Speedy will obtain a value for the speed of light equal to <em>c</em>.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about general relativity.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the principle of equivalence.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An observer in a spaceship moving at constant speed measures the frequency <em>f</em><sub>0</sub> of light emitted by a source. The spaceship now accelerates to the right.</p>
<p><img 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" alt></p>
<p>The observed frequency changes to <em>f</em>.</p>
<p>(i) Outline why, during the acceleration, <em>f</em> is less than <em>f</em><sub>0</sub>.<br>(ii) Explain how the result outlined in (b)(i) leads to the deduction that time dilates near a planet.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about gravitational red-shift.</p>
<p>Two identical lasers are situated on the surface of the Earth. One is directed horizontally towards observer A, who measures the frequency to be 4.62×10<sup>14</sup>Hz. The other is directed vertically upwards towards observer B, who is at a height of 1.00×10<sup>2</sup>m.</p>
<p style="text-align: center;"><img 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BY2m/DARGStXRvgmmieBEiABLwnQBHiPSuWJIGgJhA9aBDKy8uDug10ngRIoGURoAhpWf3J1pAACZAACZBA0BCgCAmarqKjJNA4AmtWr4a5f//GGeHVJEACJOBHAhQhfoRJUyRgVAISonvs2DEMHDjQqC7SLxIggRAkQBESgp3OJocWAREgstOubHTHRAIkQAJGInC2kZyhLyRAAv4jIOuDvLh4MX744QdNgJx//vn+M05LJEACJOAHAhwJ8QNEmiABoxGQdUFkgTJJMgJCAWK0HqI/JEACQoAjIfwekEALI7AuKwsLX3gBM5KTOQekhfUtm0MCLY0ARUhL61G2J2QJyOjH3DlztPa/l5mJtm3bhiwLNpwESCA4CPBxTHD0E70kAbcEtm/fjtEjRyI6OhovvfwyBYhbWswkARIwCgGKEKP0hFd+nMHhL17FP6+5ApGX98Y/079GpVfXsVBLJiDRLzOnT8drS5ZgyNChLbmpbBsJkEALI0AREkwdWv09Nn7QGo/u2I89mffi0FPPIGP/b8HUAvrqZwJ6+K08fuHGdH6GS3MkQAIBJ8A5IQFH7McKwrtg1NNdrAa7RWPEdf/GgUOVQKfz/FgJTQULAV2AMPolWHqMfpIACTgSoAhxJBJMn8/uhh6dWweTx/TVTwT279+PBfPmobDoG4bf+okpzZAACTQ9AT6OaXrmfqixGpV7NmLrzSMwIOIcP9ijiWAjkLV2LR6bNo0CJNg6jv6SAAnUIRDEIqQalfs/xbrM5/HP659EbkV1nYa5/FB9GLtWJmPw5Vcg8prxWPzFYdS/8gwO73oLT8T82ToBdNF2HK5fyGUVrjMqsD/3fax9fjx6JOeiwllBL/yrPvwp3sj7M/5r8o1o5cwGz7V4AuXl5ejdp3eLbycbSAIk0LIJBK0Iqd6/AvfNXYl1yYuw6bS3nXQcuxZOwRMH+iPtu+9RvOkeHPnXFCzaddzOQDUqd72GsTO/x4A3duPAdxm498gCjF34RSMjUX7D/vRpeGbVW3hy4Uacsaux9tAL/yq/xlurf8OwSWa0w2Hs+nR/I/2qrZ1HwUOgTZs2OHnyZPA4TE9JgARIwBkBFdTplCp+Y6TqePW/1ObyKo8tqSp+Qw2tU7ZKlW/+l4q66w1VrF9etU+l3zVQJW/+pdZe+WaVfPVIlV58qvZc9XH19XvvqtzS32rP2R+5ytfsX6OiZm5W5fbllVKe/Ksq26YWjb1JdbzsctvrGjX0jX1Kd93BnN8+AvCbLRryD4Ft27ape0aM8I8xWiEBEiCBZiIQtCMhzgSV+3O/4dutG1HY6Qq0b6U3Oxytb+iPIfs3Ytu31lDX6m+3I2vvnxDZ3u5BR+uuGBD7M7K2/lj76KaqEv/9zTu4f9zzyC1zGIpR5fhmxQzEz92CH4/9BuXeMVuuZ//C2/XGQ0u348AP39teX2NtfBforfGqGhZqEQR69+6Ntn/4AyRChokESIAEgpVA6Ny/qn/EtrW7cUHU5fhTvVbvtgkMmxC4oCMu+5PjhM8zKFy7Hd/qc0PObg/z9MV45aYdmGgvRHQBsgiYtHIuRl/TBmHefDu88s+Docr9yNXnyBwvRcGi8bhW5r7EzEHu4TOoPvwFViUPQeTlV+DacatgqdQb48Eusw1JQEJzCwu/1ISI7JjLRAIkQALBRqDe7TjYGuC1v5VlOLAf6BhpcjOZsxKHDhwE6oyWuKmhnhD5b+sIiK8CRKrwyj83vuBX5D47DuOmyhyZUuzJPYwOk5bgy69WYxLewsPJL2HdvgsxdPY6FH++FLGHUvH4e/trR3bcmWaeIQnIzrgiREpKDuKxRx/F0aNHDeknnSIBEiABVwRCR4S4ItDY8/ZC5I7bMaohAqSxPmjXXwzz7A1Y/1RfABHodls3tJPebXUFunW/GCd/uQhdb+2kCbDwP3bAFeecxrcHyjip1S/sm8+ICJHZc+agT58++HtsLPbu3dt8zrBmEiABEvCRQOiIkFYmRHaChxtvK7SPvATY/z0O+fKo4qxW+OOlJrQBEN7uElx60XnePYKx7yyv/LO/gMckUEtg5KhReH7hQkx+6CHEjRrNUZFaNDwiARIwMIHQESHhl6HP366v1xXVP/+Ar05ej6F9L0M4zkPHvgMR5Viq+gh+LDyBqL/1RkdHYrY5IAmrL8GzH32MFSMO4nH7OSKOtlx99so/VxfzPAkA1113HdauW4c//umP2qiI7KzLRAIkQAJGJuB4SzWyr430zSowOmZuxq6ahc2qUXnoe3x73UD06WjdfyW8Y28M7bQNObvsnq9r8zWusQkVOzfsBcjSKTCb/ohr4uZiWYOEiHf+2dXOQxKoR+Ciiy7S5onIjrqys65Ez3DSaj1MPEECJGAQAi1YhJxBadYUXBuzGLtsj1bCOw3FE+OLkfLcZm0F1OrDm5E6rxgJTw5FJ51EeCcMe/Iu7Jr3mhZRgupS5D63GLvGT8Yw+43iaqJgLsD0Vx+B2XSutUvD2uCauDl4ffBXdaNmvOhwr/zzwo7PRap/wrqJ/Xy+jBcYl4DsqPvh+vU1k1YpRIzbV/SMBEKaQDOtT9L4arUFxPRFu+TdceGu0+rQ2kdU1O2L1M4Tdst5VZWpLxaOU1Gy4NftM9XKnWVOFvs6rcp2vKLGXy1271LJK3aoMjsTmvP/KVGb589VK74+rqqdtaZevm1htJqFxsS2wwJoYscr/5xUaFsErXYhs5Eqfd9ulX7XNbWLm8lCbQc3qmStXTZ2cu7Y9yrr/ludGLWe4mJlLtEERcYrL7+iHpg4UZ08eTIo/KWTJEACoUMgTJoa0iqMjfdIICwsTJZM9ViOBYxLIHnmTM05iaRhIgESIAGjENAfQhjFH/pBAiQQAAIzk5OxbetWcLJqAODSJAmQQIMJUIQ0GB0vJIHgISDriYwdNw4ffvBB8DhNT0mABFo8AYqQFt/FbCAJWAn07NWLKEiABEjAUAQoQgzVHXSGBAJH4Ndff0WbNrKkHhMJkAAJGIMARYgx+oFekEBACUiI7qIXXkD0oEEBrYfGSYAESMAXAhQhvtBiWRIIQgIiQGSDu37m/tqqqkHYBLpMAiTQQglQhLTQjmWzSEAI6AIkKupa3D/xfkIhARIgAUMRoAgxVHfQGRLwH4FDhw4hIT4eFCD+Y0pLJEAC/iVAEeJfnrRGAoYgsHHjRvTrezPGjh/PERBD9AidIAEScEbgbGcneY4ESCA4CRw9ehSpzz2HY8eOYcvWPLRv3z44G0KvSYAEQoIAR0JCopvZyFAgIKuh/j02FldffTVeevllCpBQ6HS2kQSCnABHQoK8A+k+Ccjk0+Xpy7H63Xfw2pIlkB10mUiABEggGAhQhARDL9FHEnBBQI9+ueiii/Dh+vWQ5dmZSIAESCBYCFCEBEtP0U8ScCCgCxBGvziA4UcSIIGgIRCmuEd70HRWczkaFhYGfk2ai77reh984AGG37rGwxwSIIEgIMCJqUHQSXSRBBwJyCTUom++YfitIxh+JgESCCoCFCFB1V10lgSsBD784AOMHTeOOEiABEggqAlQhAR199H5UCbQs1evUG4+204CJNACCFCEtIBOZBNCj0CHDpfgm6+/brkNryzGpvcWYEzkDGyqqG657WTLSCDECVCEhPgXgM0PTgIDBg7Awhde0DaoC84WuPP6V2yadS8GDE/EipPuyjGPBEgg2AlQhAR7D9L/kCQgC5LJnJDHHn20BQqRi3HbvDxY0oaHZN+y0SQQSgQoQkKpt9nWFkVg5KhRWoiuCBHZMZeJBEiABIKNAEVIsPUY/SUBOwL3T7wf0dHRGD1yJPbu3WuXw0MSIAESMD4BihDj9xE9JAG3BIYMHYrnFy7ElMmT8eaqVS3w8Uxt86vLdmD5tEGQBfTCwiLQf1omiiv1iavVqCzOxLT+EQiLGIMFmZ8hd8c3qKi5XPI3YMGYKOv1UuaTYlRq+ZKXi/cWjEHktI+wb8dLGBMRhTHLvrLl1xjhAQmQgB8JUIT4ESZNkUBzEbjuuuvwXmYmCgsL8ZcBA1rm45nqfUiPfwCf9nodVaoKJ4qewaUrJ+Gh1cXQZEh1MVZP/RS9Vv0AVbocjw29FOVFx2xdUo3Kna9j1oetMPKNQii5ftNtKBxzL2Zt+hWoyMUsc38MT1yBk4e/R8Ulw/Hw1Ej8dJQzY5vrO816Q4MARUho9DNbGQIE2rZti2fnzcOo0aPRr+/NWJeV1QJbfS4uvvB3CEc4WnXuhX5RF9S0sfrANry76xi+yy9EmaiS8MswZExftNZKHMWO1Usxf+rNiDhLRlHOwu+vjseKsp1YueFLVLS+DfP25SDJBKDd1bjK9Ed0f2wtNj/WE61qauABCZCAvwlQhPibKO2RQDMTuH/iRGzZmofs7Gwkz5zZch7PhF+FhA1bMc/8H+xc9xYW3DccY7NrRyrCIwdgQswuJA7rge73LcB7m/RHLQAqvsSGlVcizXJK2wdJ9kLSX6XzbrMJlWbuOFZPAiFIgCIkBDudTW75BNq3b48Fzz0HWdSs5YTxnkGZzNXo/Dg2/+dC9J+7CmnRtSMhMvIRuyQbBVmvY/RPqRg+oAs6j83EIX3KCPLwbt4P1kc3Lf8rwBaSQFAQoAgJim6ikyTgO4Hzzz9f2+AuKuraFiFEqotXIb7XFvT76DU89vc70N10bn0o4SZ0HzIe8zb/gNL8F/GX9XOxKPdXoPW1GDQ6AtljJ2P68h3WxzXa1cexe9Neu8mr9U3yDAmQQOAIUIQEji0tk4AhCEgYry5EDOFQg5yoRmXJARTiJI6e+A3AGZTt/gKWMydRaPkO+3K34tvjnyNTBIeWzsGf2ptwNq5Elw4yq6Mteo4YCTOyMT++l21eiMwNGYWcNpfxcUyD+oQXkUDjCVCENJ4hLZCA4QmIEDl65Ai2b99ueF+BX7Fp2s3oMnYNUPYMBrS5B8uKz6C1+UGsmv4fJPa4CBFjXsJXv++DQT0jULYjD/siotAxvBUuLN+BzGXT0D8sDGeNyset7y9EfOfzZJYqWnV/EG8VrECSWWafAjDFISU7Ffd3vxDVxcswqM0AzC8DyvJmYcidy1Bc8xgnCJDRRRIIUgJhSmZnMZGAGwKyJgO/Jm4ABUmWrCFSVFSE2XPmBInHdJMESKClE+BISEvvYbaPBGwEevbqRRYkQAIkYCgCFCGG6g46QwKBI/DN11+jTZs2gauAlkmABEjARwIUIT4CY3ESCEYCR48excIXXsDQv/0tGN2v8fnUqVMtZ92TmlbxgARClwBFSOj2PVseIgTkxv1EcjLGjhuHTp06BW2rZfG1fv364bPPPnPbhq1btyIpKcltGWaSAAkYg8DZxnCDXpAACQSCwKFDh/DY1KnoZ+6PkaNGBaKKgNuUUZxnn30WxcXFWLVqFTp37uyyThEgU6ZMQWZmpssyzCABEjAOAUbHGKcvDOsJo2MM2zVuHdu7d6+2s+7kRx6B7LQbjEnExLBhw5CRkYGYmBjIAmyuUklJCS655BJYLBa3QsXV9TxPAiTQ9AQ4EtL0zFkjCQSUgDx+yczIQNrSpXh+4ULIDrvBlmTUQx6pyKjHwYMH0aFDB7dNEAESGxuLvLw8ChC3pJhJAsYiQBFirP6gNyTQKAL645eOkZF4LzMTsrNuMCURUGvWrMGLL76I2bNnIzo62qP7co0IECnft29fj+VZgARIwDgEODHVOH1BT0igUQTWZWWhX9+bMXb8eG1BsmATIHv27NEmnsqoxscff+y1AHn44YcRFxfnVflGAebFJEACfifAkRC/I6VBEmhaAjISMGf2bBw7dgxbtuZBdtANpmQ/8fT1119Ht27dvHZfBIg8bpo0aZLX17AgCZCAcQhwJMQ4fUFPSMBnAvL4JSE+Hh06XIIFzz0XdAJEJp7efvvt6Nq1K95++22fBIg8spE0duxYn7nxAhIgAWMQ4EiIMfqBXpCAzwRkBGTunDla+K1sUBdMSR65PP3005rLnsJunbVLBIhE/yxatM/4tPgAABfoSURBVMhtxIyza3mOBEjAOAQoQozTF/SEBHwi8NijjyIq6loEkwCxn3j6+OOPaxNKfWo0AFkLZMWKFdq8EXchu77aZXkSIIGmJ0AR0vTMWSMJNJrAxo0bcfTIkaASIDLx9KmnntJCaGXiaUMmztovRtaQ6xsNngZIgAT8SoAixK84aYwEmoZA7ubNuOcf/2iayhpZi4x+PP/888jKytLeGxpGK49wbr75Zm0xMk/rhjTSZV5OAiTQRAQ4MbWJQLMaEvA3gWv+/Gd/m/S7PX2/l9atW2PLli0NXseDi5H5vWtokAQMQYAjIYboBjpBAr4RkGiYHfn5ht2QTkSDTBr1Zr8XTy2XkRQuRuaJEvNJIDgJcCQkOPuNXoc4gRF3j9CWZZcQXaMlCbuVPVxuuukm7RGMuw3nPPkuAoSLkXmixHwSCF4CFCHB23f0PIQJyKRM2ZhOQnRlsS8jJBn1GDp0KD7//HNtvxcZvWhM0gUIFyNrDEVeSwLGJkARYuz+oXck4JKA7IwrIbp/j43F/v37XZYLdIaIBVm3Y9SoUXjggQcwf/58jxvOeeNTWlqaVoyLkXlDi2VIIDgJUIQEZ7/RaxLQCMgaIXOeeQYxf4mGhO02dZKQ2X79+qGiokKbeOrNhnPe+MjFyLyhxDIkEPwEwpRSKvibwRYEkkBYWBj4NQkk4cbb1nfPvaF7d0x66KGAryJqv9+LrP3hy34vnlorETXJycmaqOFiZJ5oMZ8EgpsAR0KCu//oPQloBGTTumXp6fj971tjcExMQKk0Zr8XT47JyIoIEKmDAsQTLeaTQPATYIhu8PchWxDCBGSUyjH97oIL4HjeHyNZMvE0JSVFq05Egr8XDBP7shjZwYMH/W7bkRE/kwAJGIMARYgx+oFekECDCXgSGI6CxNeKZOLpmjVrtMmns2fPhr/mfdj7IeuKyMTWvLw8ChB7MDwmgRZOgCKkhXcwm0cCjSHgj/1ePNUv80sknFeWdm/oku6e6mA+CZCAMQlQhBizX+gVCTQrAREGr776qrbY2Ouvv+7Xiaf2DZNRlmnTpiEuLo4CxB4Mj0kgRAhwYmqIdDSbSQLeEpDolNtvv117LCL7vfgz8sXeBy5GZk+DxyQQmgQ4EhKa/c5Wk0A9AjIv4+mnn8Yvv/yCVatWoTHLrdcz7uSEvhjZpEmTnOTyFAmQQCgQ4EhIKPQy20gCbgjIiIS+30tMTEyj93txU1VNlv1iZDUneUACJBByBDgSEnJdzgaTQC0BCYtNSkrSRj2OHDkC2ZMm0Eke96xYsYKLkQUaNO27IXAGZTuzsX71q3i3ywKsT7gK/IvcDa4AZpF7AOHSNAkYlYCMfsydO1cLi01MTNT2e2kKAcLFyIz6jQgtv6qLVyG+x18xdv6u0Gq43trqH5E5tgcGLduHav1cM71zJKSZwLNaEmguAiIEpkyZou14KxNPm2plUl8WI5MN+Xbk56OoqAg33ngjbrn11iYZpdm+fTv27tmLkpKDMPfvr0XsBJqPCELpk927rDfEm2+5Bb179w7418O+Xllp97pu1zVJvZ4aJn7t2rULP//8s7Yj84UXXoirrroKPXv29NsaMuGdE7DeAsR0SfbkTovMrz6Qg9eW7UR2yTYciL8KnZtxOKIZq26RfctGkYBhCUjYrTx6kVVPZeLpjBkzmkyAeLsYmdyAkmfOxL+Sk9GqVSsMvvNOyOMb2SlYBEKgkrB58IEHsOiFFxDZKVITIGlLlmhL4Adyh2KxLcvs527eDBEfERERmDl9uuaL+BSoJCyl3gP7D2j1Sj1Sr7CXPmiuJH0tGyLKyrnDhg3TvqszZ87Uji+55BKMHz8e8l1iagyB49j976/RP+VBmLI/Rt6B3xpjrPHXygZ2TCTgjgAg+9cxGZGAN30jZTZs2CAbVaqMjAx18uTJJm3KkSNH1I033qjy8vLc1it+PTBxonrl5Vfq+VhcXKz69+untm3b5tZGQzLFP7Et9Tomqa/jZZcHpN49e/a4tC2+iE8lJSWOLjX6s7RJbAtT+yT8pV7pA398R8SG9Lm3thYvXqx9R+V76unl6btk3y5Xx1WWNBUNk4pOK1JVrgq1xPPlOSppcJqyHMtRSSYoU1KOKm/GdvLu0ozwjVj1wYMHlcViqfOSHwTHc0b0PRR9kr7xlKTM7t27lfRtUye5AY0bN07JDcZTmjljhlMhoF8nN2R/CxHxTxc+ej2O77oAEtHgr+RNWz755BOtvSKS/JX0trgTN/4SIvKbId+9yMhI9fbbb7sVIyKOpawvL/ff5yp1wpKj0pKibTa7qriUj5XlRK3cqBEhr2er/PQkZdbqj1ZJGUXqRA1wsZOhkswmBVOcSsn4VG3O/9rupl2uLNmpKs5k9d0Ul6qyLfotvVxZct5RKXHRKil7j8pPjVMm0xg1d/ZQu3Z2V0k5vyilTilL2nDb+eEqzXLK6sEJi8pOiVMmzTf7Nohfm9WalDjVMelDVZT/ooozdVVxaYV2vtc0wu5A6plgq/MXlZPUXcE0XeWU13KxK9wkh55/wZrEDVZiFAK9e/fWfjR69uyp9Jf+Q2L/A+HtXzdGaVdL9UP6xFPypownGw3N91aArFq50qu/wOXmKSMT7m6ivvgqN1wRP56SPnrgD0GgC5+stWs9VVszMuGxoBcF9BEfb0aT5s+bp+TVmCQiRH5D5PvXrl07l2JE/LL/bfH2ODEx0aV7VSUZKqFjgkorEkFQKyRMcemqyCZEdBFiTlqhCkpPK6XKlSVjujKjq0rI+ME6OlJVpNIGT1YZJZIvpn5QWel5NhFyTBWkPqFS80ttIynlqigtQZm0m/p/VHnO9FrxkJqnSsvzVYp5qEopOKY0/0y6ANGbcUpZMtaoAl0onchXqUmvqHzNN6XUiUKVFtfVOnIhoxk1wudFlV/6sypIGarMKfnuRYi0J2FhTR1WBo5+6P40zbvnX7Cm8YO1GITA8uXLPf4gPPHEEwbxlm54IzC8KRMokvIXrqckIwwywuHtDV5GCO4ZMcLtX9ae6pR8X+3oQskb2+7K+HqDl5EaqbuxydOIj719EUrCWBg1NNmLEF1YOBMj+qNCvYwv786/M9a/8Os+ZqhSJwpSlRm1N1xdhNR9HGMbHYhOU5YqpbQy2ghIgSp1HCywEwJ1fdbrqLIJEf2zPUmpp09d0XCiQKVnWGyCRr/WyeiQPnJhq79uO+3rcDwWm0+owfaPn0SURJuUKSFDlTi2z/HyAH1uZhGiD1cl1A4/BaihTWW2qjRPpcZ1td7IzdNVRs3QXFN50Lh65Mfn0ksvdSlE5EfE+X/8xtXLqxtGQH78PCVvyniyIfl1f2id/Dj6OJwu9s4791xNgPj6qMPXG7lj+/THIb6OqDRWEMgohK8CSv6/OZvD4dgmd59l1EV89yU1dtTJmQjRv0P2YuSpp55q8HdLHjPWS9rN2clcD4ebtnMRYnssot/oq35QGQnW33NTXIpak2OxjTTYRIJNrNTzQTuhCwlnIkQXOA/aRllOq5Ksd9TmmsciVpFSVyA51OLQHodcJx9tAsvp/1O7R0BOrgzkqXBU78OyQRGQ7b5dv3pg2qZfGz8Lto6FalRsehbmAfcgccWJOjn1P5zBocxJiAgbhBmbDjV7XHN9/2xnKncg9fGduPWlvVAnCpF26fuYlFaACpcXGC9DwhFnzZrl0rF//OMfTRIq6dIBZjQrAdEi/nz94aK2GHH3Pbjuuut8atekhx7C+o8+wt69e326Ti886t57tXrbt2+vn/Lqfdbs2UhbuhQNiZiRqJOEuDF4NDHRp6gkWb/l+YULMWH8+AZFrnz11Vd49JEpmDFzpldt1AsJm+deeB5z58zRT/n0btm3DxXHjzu95vDhwzhw4ADGjRunrdbrtJAXJ7/77jsXpcpQaClFpYtcr0+HX4bYJdkoyHodo39KxfABXdB5bCYO6YtrNCK6JDyyD+6OysSkf32AQ8fz8FL+/8cNre0DVk8j+91tOKDX5bXTzgtWF/8bqZiPcof/w1UlGUgw5eHdvB+a5d4ajvCrkLChFFWWNESjO5JyfnH4kSlHUVo/nOW8XT6frT70OXK/lZCgcLS+bS5KtHq9NZONZ0a9hNwKP/WKt9V6Ve43FK9egNR2XdGpVTjQqisSlheidN5taO3V9cYpNHz4cFxxxRX1HGrXrh3uv//+eud5ggQaSuDIsaMYEz/G58tFLMuNecrkyT7fmN9ctQq9broJ90/0/bssgmBGcrIWQuxrKOuLixdjdPwY9OjRw+f2ikiLueMOiA1fkvg4Z9YspDyfCl8Fl9QzZOhQXHTRRRBmviSp99lnnsX5F1zg8jL5PZE/agYMGOCyjKeMK6+8sn6R1tdi0OjuKNuxF/srHe8V3TF60LVufpMrUWI5BPPUoeipC4JwE7oPGY95m39Aaf6L+Mv6uViUexStewzEaNMajJ3wJJbvLKu9gVd+hU07vQivDr8SgybEAssWY8bkV1E10N6vtugxKBqm7GRMmL4SO8vO2NpZjcrdn2Gnz/dACcu1IHZsn3ptD29/K0aOjvCr4KnfKa7P2MsuF6Va46q/D0cPL0q6MGB3+jh2v70W31XZnfLq8By0j30RpVVFSLurCzrITd5wSb68rlS54Zx165D8wMtqmvIjYZ/uvPPOgG9qZl8fj1s+gd9On/ZpVMCeiNyYx44bhzmzZ9ufdnssIxgykpE0bZrbcu4yBw4ciI6RkVievtxdsTp5si6HjNxMmTq1znlfPuijP76slyI+iq9/+9vffKmqTtmpjz7q8+iP9MntMbfj/51zTh1b8kF+V2QERBbKW7JkibZjc71CXp649NJLnZRsi573PYQ4Swoem5WFYk2IVGDfe28iI2YGHjZfrF0T3u5ydDMBZyxfYLd2k69AcWYqZu2IxhMju6GVlKr4HJm5+lOAc/Cn9iacjSvRpUMroPUNGDF1MJA7H/E9InCW/jThr5+gTZcLnfjleOoctB8Yi9GmXKz4JBKDethvmRCO1j2HYqpZzMehR8S5ticVHfDXnHPRRRdIjiadfj6Dsk0L8VjqWbi8Xf3+AFqhQ5crARE8yZ+gzFG3ObXpx5P6sx5Xs2SrLB+rLD1cSC/coHd9YlDdZ0/Weuuec2W+qiRLPZFu1Jhu6/M27ycJuWqlMc7L3BAJrbN/hivPeJmMRUD6x1PypownG5LvLzv2dTXWpi+RJlLWXyG+vtjS5584rsthz8HbY29CbHVbekSP+NrYpNvyZj6YPv/kyy+/rImOkX6WeSASLeX4OyI2Jd/Xl7voGGtEzMcqRZ+fh2iVlJZTJ0RXmFSVFqgMpyGwNmLlhSon60OVkWYL4TUnqfQCPRpGM6AKasJ7oWpDdO1Dbk2qj9lcd0JoTYe4n/tRVZqv0p2EGVvvmzZmfczKLOt+OJ1Yau+HlHe81zrmo8lDdmt+wZyLkNOqJCNVpTuIkLpgTMqclFHbuScsKmdNiorrOF1lF32qTdI0xb2hdn76nC0O2wbONvGnVoT8bAuPEgh6aFVNTyl1Yo/KSN/uMENZD6mSzk9RGfl5Kn+Xm5j6E0UqQ+tQibfOUPmbt6td5VXWGdDafwJ9MpM+oUh8tZtU5KJtX3zwuC0Uy9Y2saVPWKoqrfMlRb3JqhI+ZvefxRRnF/Kl/Tepl5+SrU+OsuMTgEOJ7ZcfDvlxkB8PJuMRkL7xlLwp48mG5PvLjn1d/rCp3+TdhZ7qYkVCcv2VvKlXL9OYKBNHf3VBILZdJSnjz1Bmqceb9UPsfROxIb8frsSHve8NWSfEUczY2+Nx8BCo+QWro6zqqFIH5aSF9HS3xVFXqRNF6SrOpN+87WbfajfTElUuYVHmVC0uuVZw2BZiESGprVpnVgkpb1rjofXZyPpN3A1LuXawXWhRVcnHKn2zLPziLIniS6iN/1YOs5GdzKi2+qaLEPdtU3qoU53V56wqsyb8yRbnXSNQJH5d4/OUytFiwUX0PahMNWpV8l9RSRJjrqlcnbfuk7N2+u+c/HDLaIj8iPA/vP+4+tOSNzdxb8p445O/7NjX5S+b+s3emRCRv7R9CU+198/TsX7TdRbdo/vkzXognupxzNcFgbORCXc+Odrx9bNer7PRFb1eXRyJb/PmzfP6t6OpV0z1te0sHxgCDiLE8eYmi688U3ckRLvZ9rGtuCYqQuKMO9otfWu7WeshTnZ+uxYh9kLHNjzk5Ho7UzUrzGkjIPbDY3UL1X6yiScZAbEuTFObpR15FCFSynXb3IqQGmFia1uNwBJ7g2tZaqN7EuJ7r7agTU19dUShdbSlqR77/Pvf/1azZs1ygMWPRiHgzU3cmzLetMdfduzr8qdN/aYvN0o5lpccyyMYeQ9U0m++IjbkxiuPTKS+QC33rrdD1g7RHy+JKBA/ZOE1OacLAb2sP9+lbRJmLPVJe+VdRJ4/6pUREVniX74Xzl5DhgzxWtT4s820FTgCHnbRbY3ON18Pi/0cFC2aZitQXYad697C5sxnkJh9EtF32xdqiuPzEDnoHsQkD8OwFcsRl5KMMXfF4LbOLmJRtJnINyF52DCsSI1DyqL7cNftt6JzQCe5nofOCatRijMo2/kRsje/i4cT1wDRt1sBVXyJDSsPA4NqeYWb+mLK8r62/E3YsPJKpFnykND5vNpCLo5kw6vc3FwXuQ0/fc0112hhdF27dm24EV4ZMAISWs8ELfrjw/XrtQmjj02dii/yd2DCAxPx2pIl6NSpU8AQyY6372VmYvW7q/HgxIk19a7/JDug9Y4cNQo9e/VC1tq1GP2Pe3Hp5ZdpYcfii0TxBCpJVFHvPr2xZvVqrd4be/VEP3N/LHjuuQZPMtZ9jY2NRUxMjLaL7u7du/HTTz9pWfLbc+2116Jbt256Ub63EAIeRAgQ3nkQhtRp7BmU7ViCx+/dgahn70b/uauQdngY3q1Tpmk+hLePxZKdBbhr/Wq8MPYeDEjsioSMD7Ak9jLUj5+RCJtU7Cy4HetXL8bY4f2RaHoQGV+kIra9sxnD/mlDddlWLHw8GXuixiO2/1PYlHYKV9eBVYodu75D5W0XW2dj16vWGr8d3/kqJ22qVzhgJyorK7F06dKA2afhhhFITEx0eqHslGuf/CVU/GUnEL7Z29SPJQqmMZEwuh1f332p98Ybb4TZbPa1ijrlY0cM1z5/9/13ePbZZ+vkBfKDfb1PPvlkwKqStU7k9dZbbwWsDm8N33TTTd4WZTkHAiImO3fuXOesRxFiLS2xyVth6dgX1x9ehfheW3C3ZYX1r/PqfWjYckF1/Gjwh3BTdwxJ6I4h8Y9gx8LHMXTSa8gdOBu3OQ1hOgem7nciofudiH9ExMH9mLQoDwMDtZZH9T6kx4/Bx3d/gPUJIiJ+Q7E9rFYR6BIFzE98ArOuXIgnYq+yCZHj2L3pR3S8TeLdIzB/7GRMP2sWHhndEyZNXen519WJ+Za/fuQvCSYSmD9/PiEECQEZwfz1Vz0MNEicDlE3T548CdcLpIUolEY22wsRYh35SM66Gs/PBSoLDqAQJ/GXE9YFx8p2fwHLmZMotHyHfblHcO6tXTy49B0sJRWo/J8t2PHHfuhRIvYA35/mVKMi9yPsuuEOmEVwhP8B7S/7PRAV6WIdkV+Rm3kAN8TepN24w//UAZedfS6iukRYb/w2QbBy6zcoi78Kpp934v08C85gJ+YPuBZ70jZhfYI1vtxDA2uzK0thKTyJM3+pwEkAF5R9ie2WcqDwAH7ctxWl516PEXMTsTJ7KuYPuxq1t43BSClYhevRGj1HjIR5/lTMj8/G/HjdtJ6vf+Y7CZBAsBKQPx4C+fgkWLkY1W8+EvJzz+gTKp1NAqo9ZzdhtapE5Uy3bo9sjYk+YN0OWEJPi77QNsOxXtddmc1xdfeEqbk2Wk3P+VYV1WxdrIfCfm21VTMpyX7CquPEmCpVvitHZWVn2LZrllBhfTdEx7Ly+YjalfOhys543bots8SNp+fbhfzqkSfii3U753KJ3DEnqbSsAlX6H+tGP/XbZh/Oq0+m0qOFTqvSnKesocmyCVJ2kSrRdla03y76tCotWGHzCQpSX83+BOK3Q75mp2lCdJ1R5DkSIAESIAES8BeBMDHkZ11DcyRAAiRAAiRAAiTgkUD9+ZseL2EBEiABEiABEiABEmg8gf8DHJPa5wZDAlkAAAAASUVORK5CYII=" alt></p>
<p style="text-align: left;"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) State how the frequency as measured by observer B compares with the frequency as measured by observer A.</p>
<p>(ii) Calculate the difference in frequency between the laser light as measured by observers A and B.</p>
<p>(iii) State <strong>one</strong> assumption that you made in (a)(ii).</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The lasers are now placed on a spaceship, which is accelerating upwards at a constant rate of 9.81ms<sup>−2</sup>, far away from any other masses as shown below. The distance of observer D from the laser is 1.00×10<sup>2</sup>m. Observer C is at the bottom of the spaceship.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">Explain, with reference to the equivalence principle, the frequencies measured by observers C and D, as compared to observers A and B.</p>
<p style="text-align: left;"> </p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about time dilation and relativistic mass.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two space stations X and Y are at rest relative to each other. The separation of X and Y as measured in their frame of reference is 1.80×10<sup>11</sup>m.</p>
<p><img 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" alt></p>
<p>State what is meant by a frame of reference.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A radio signal is sent to both space stations in (a) from a point midway between them. On receipt of the signal a clock in X and a clock in Y are each set to read zero. A spaceship S travels between X and Y at a speed of 0.750c as measured by X and Y. In the frame of reference of S, station X passes S at the instant that X’s clock is set to zero. A clock in S is also set to zero at this instant.</p>
<p>(i) Calculate the time interval, as measured by the clock in X, that it takes S to travel from X to Y.</p>
<p>(ii) Calculate the time interval, as measured by the clock in S, that it takes S to travel from X to Y.</p>
<p>(iii) Explain whether the clock in X <strong>or</strong> the clock in S measures the proper time.</p>
<p>(iv) Explain why, according to S, the setting of the clock in X and the setting of the clock in Y does not occur simultaneously.</p>
<div class="marks">[9]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The spaceship S in (b) is moving with speed 0.750c as measured by X and Y and has a total energy of 2.72×10<sup>20</sup>J as measured by X and Y.</p>
<p>(i) Determine the rest mass of spaceship S.</p>
<p>(ii) Using the axes, sketch a graph to show how the mass <em>m</em> of spaceship S changes with its speed <em>v</em>. Your graph should identify the rest mass <em>m</em>=<em>m</em><sub>0</sub> and the speed <em>v</em>=<em>c</em>.</p>
<p><img 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" alt></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Muons are produced in the upper atmosphere of Earth and travel towards the surface of Earth where they are detected. Explain how, with reference to the situation described in (b), the production and detection of muons provide evidence for time dilation.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the principle of equivalence and red-shift.</p>
<p>Joe and Kim are travelling in a spaceship.</p>
<p><img 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" alt></p>
<p>Joe is next to a light source <em>L</em><sub>1</sub> and Kim is next to an identical light source <em>L</em><sub>2</sub>.</p>
<p>The acceleration of the spaceship is zero. Kim measures the frequency of the light from <em>L</em><sub>1</sub> to be the same as the frequency of the light from <em>L</em><sub>2</sub>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why, if the spaceship now accelerates, Kim will measure the light from <em>L</em><sub>1</sub> to be red-shifted with respect to the light from <em>L</em><sub>2</sub>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest, with reference to Einstein’s principle of equivalence, how your answer to (a) leads to the idea that a clock near a massive body runs more slowly than a clock in free space.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about stellar distances and stellar properties.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>According to Vladimir, a clock at rest in the railway carriage will appear to run slower than a clock at rest beside him. However, according to Natasha, Vladimir’s clock will run slower than a clock at rest beside her.</p>
<p>(i) Outline how this time dilation phenomenon leads to the “twin paradox” in which one of the twins embarks on a return journey to a distant star at a speed close to that of light whilst the other twin remains on Earth.</p>
<p>(ii) State the reason behind the resolution of the paradox.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Evidence for time dilation comes from the decay of muons. A pulse of muons produced by cosmic radiation in the upper atmosphere of Earth travels to Earth with a speed of 0.96c as measured by an observer at rest on the surface of Earth. The half-life of the muons, as measured in the frame of reference in which the muons are at rest, is 3.1×10<sup>–6</sup>s.</p>
<p>(i) Determine for the muons, the distance that Earth will have travelled towards them after half of the muons in the pulse have decayed.</p>
<p>(ii) Calculate for the Earth observer, the distance that the muon pulse will have travelled towards Earth after half of the muons in the pulse have decayed.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest how your answers to (e)(i) and (e)(ii) provide evidence that supports the theory of special relativity.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about general relativity.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the equivalence principle.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A helium filled balloon is floating in air inside a spacecraft in outer space. The spacecraft begins to accelerate to the right.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></p>
<p> </p>
<p>Explain, with reference to the equivalence principle, the motion, if any, of the helium balloon relative to the spacecraft.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In an experiment, to verify the bending of light as it passes close to the Sun, the position of a star was measured during a total solar eclipse.</p>
<p><img 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IBALgEBVC4dZQQIECBAgAABAgQIECBAgAABAnkLCKDyJlQBAQIECBAgQIAAAQIECBAgQIBALgEBVC4dZQQIECBAgAABAgQIECBAgAABAnkLCKDyJlQBAQIECBAgQIAAAQIECBAgQIBALgEBVC4dZQQIECBAgAABAgQIECBAgAABAnkLCKDyJlQBAQIECBAgQIAAAQIECBAgQIBALgEBVC4dZQQIECBAgAABAgQIECBAgAABAnkLCKDyJlQBAQIECBAgQIAAAQIECBAgQIBALgEBVC4dZQQIECBAgAABAgQIECBAoJ3Aitradmd8JUBgVwICqF0JKSdAgAABAgQIECBAgAABAtsElixeHHNumMWDAIFuCgigugnmcgIECBAgQIAAAQIECBAoX4Eldy6OhoaGaFi5snwR9JzAbggIoHYDzS0ECBAgQIAAAQIECBAgUH4CjY2N8Xh9fVRUVMSCW+aXH4AeE8hDQACVB55bCRAgQIAAAQIECBAgQKB8BG6dPz+GDBkSU8+fFvaBKp9x19OeERBA9YyjWggQIECAAAECBAgQIECgxAXS8rvxJ06I8RMmRHNzc6T9oBwECHRNQADVNSdXESBAgAABAgQIECBAgEAZC6SwKYVOJ0yYEJWVlXHC+PGRAikHAQJdExBAdc3JVQQIECBAgAABAgQIECBQxgIpbDpq9OioqqrKFNJMqLQfVNoXykGAwK4FBFC7NnIFAQIECBAgQIAAAQIECJSIQNq7qbv7N7VuPp5Cp9ajuqYm2w8q7QvVnSO9PW9BN+/pTv2uJVCoAgKoQh0Z7SJAgAABAgQIECBAgACBHhdIM5i+cPbnY/jQYXHOWWdn+zg1NTXlfE7r5uOjx4zZ6brTz5jSpWV49XV1ceXMmXHE4R+OY8cdEw3PrtypHl8IlIOAAKocRlkfCRAgQIAAAQIECBAgQCATGDFyZLZ/U/qSgqcrr5gZ7zv03XHs2HHZzKQ0Q6n9seKB2mzz8fbnUyDV0Wbkqd60Z9TFF06P977r0Jg08eSof6wu2zuqoqIiLr18RvuqfCdQ8gJ7lnwPdZAAAQIECBAgQIAAAQIECLQRSAFQWoZXc1hN3PaD27PPKWS69Zb5cdXMr2VL60YfPSZSwJTCpHXr1mWbj7epIvuYZlOlfaHS/lBpSV6qMwVND65YkZWnsqnnT8vqSSc++uGPxNRp52VBVPu6fCdQ6gJ7bNmyZUt3OpmmKa5eu6Y7t7iWAAECBAgQIECAAAECBAgUlMCcWbNizqzZ8ZOf/XT7xuKpgWkGVJq9lIKkhoaGrM0pSLp53twO259Cp7SkLx1pdlMKraoPq8l+prfltR5puV+q+5FHf9Z6yk8CJS/QNkMSQJX8cOsgAQIECBAgQIAAAQIECHQkkPZkSkvyOguX0ubj2Uypmprsuo7qSOdSmJVmQKU/HR1pD6i0DO+mud/ePhuqo+ucI1BqAgKoUhtR/SFAgAABAgQIECBAgACBbgu0zl5aePuiTsOjblfawQ1pf6mKyspsuV8HxU4RKFmBtgGUTchLdph1jAABAgQIECBAgAABAgRyCaTlcqOqq7ONyHNdl09ZWs6XlvJdc/11+VTjXgJFLyCAKvoh1AECBAgQIECAAAECBAgQ2F2BFAylgCgFRT19tL5l7/Qpk3faZ6qnn6M+AsUgIIAqhlHSRgIECBAgQIAAAQIECBDoFYH0JrsUEF15xczsjXc9+ZBb58/Pqps6bVpPVqsuAkUpIIAqymHTaAIECBAgQIAAAQIECBDoKYHWgKg1MOqJetMG5ukte1PPnxZt34bXE3Wrg0AxCgiginHUtJkAAQIECBAgQIAAAQIEekwgBUTpbXgpMErBUU8cc26YlVVT08mb8XriGeogUEwCAqhiGi1tJUCAAAECBAgQIECAAIEeFWhYuTLSW+rSz0tmXNZjezVNPmNKjBgxIk45aWIs2LYUr0cbrjICRSYggCqyAdNcAgQIECBAgAABAgQIEOgZgRQMHTvumKyy235we0yeMqVnKo7IZlQtXb4sUhB11cyvZUFUT82u6rFGqohAHwoIoPoQ26MIECBAgAABAgQIECBAoP8FUhCUZialYGjqtPMiBUVpCV5vHGl/qaXL7ot1jY3ZTKveeNteb7RbnQR6WkAA1dOi6iNAgAABAgQIECBAgACBghXIZj2NHRfNTU1ZMNS6AXlvNjiFWynkGn/ihPjS9IvinLPO7vE37vVm+9VNoCcEBFA9oagOAgQIECBAgAABAgQIEChogaampu2znlIQ1JuznjqCSBudXzpjRiy8fVG239QRh384VtTWdnSpcwRKUkAAVZLDqlMECBAgQIAAAQIECBAg0CqQgp4U+KRlcCkASkFQfx3VNTVZ+DV6zJj4wtmfNxuqvwbCc/tcYI8tW7Zs6c5Thw8dFqvXrunOLa4lQIAAAQIECBAgQIAAAQL9IpCW3KW9nlqPIUOGxJCqqqg5rCYqKitj5MiR2f5PaYZSbx31dXXZkrv0pr3GPzZG2oPq8fr67Y8bVV0dN8+bG73Zhu0P84FAHwq0zZAEUH0I71EECBAgQIAAAQIECBAg0D8CKfRJM6Baw6CVz67MlsI1Nzdvb1AKgqqqqqLqrVWxu3tDpfrTjKtUf3reunXrdqo/hUwjD9kReqUZUQ4CpSoggCrVkdUvAgQIECBAgAABAgQIEOi2QAqNWgOqusfqstlJu7vyZ86sWbHglvnZhuNpplWaYZV+pmDLQaDcBNoGUHuWW+f1lwABAgQIECBAgAABAgQItBVIs5Cqt50YMbJ2p+Vxba/r6uf01rv+3Geqq+10HYG+FLAJeV9qexYBAgQIECBAgAABAgQIFLRA2qcpLcXL52huasrndvcSKEkBAVRJDqtOESBAgAABAgQIECBAgEBvCCxZvDjnm+vSbKqGhobeeLQ6CRS1gACqqIdP4wkQIECAAAECBAgQIECgrwRS+PSl6RfFgytWxKSTJmZvtuurZ3sOgWIXEEAV+whqPwECBAgQIECAAAECBAj0mEDahLyjDcPT5uIpfJo67bxYuuy+bNNyIVSPsauoDAQEUGUwyLpIgAABAgQIECBAgAABAl0XqHrrzm+su/jC6TFn1uy4+rprY+q0aZE2Gb/tB7dnFaYQKu0b1XqkN96lI71Zz0GAwA4BAdQOC58IECBAgAABAgQIECBAgMBOAil8umvJkix8Gj9hwvayFEIt3BZCndImhOpo9tT2m3wgUMYCAqgyHnxdJ0CAAAECBAgQIECAAIGdBdY1NkZFZWW2v1MKn1bU1sZNc78dbcOn1jsqKyuzECqFTm1DqNZyPwkQ2CEggNph4RMBAgQIECBAgAABAgQIlLnAunXrsj2g0tK6FD6lpXajx4zpVKU1hEpvv0shVLqnoqIi2yOq05sUEChDAQFUGQ66LhMgQIAAAQIECBAgQIBA5wJp5lNjY2MWPqWldrs6Ugh187y5WVD1hbM/n12eZlI5CBDYISCA2mHhEwECBAgQIECAAAECBAgQyGZApZlPXQmf2nJdc/11ccL48dHc3Nz2tM8ECETEnhQIECBAgAABAgQIECBAgACBrW+uGzFiRLavU5rVtDtHCqHav0Vvd+pxD4FSE9hjy5YtW7rTqeFDh8XqtWu6c4trCRAgQIAAAQIECBAgQIBAwQs0NTVlbdzd8KltB9MSPm/EayviczkKtM2QzIAqx98AfSZAgAABAgQIECBAgACBNwj0RPDUWqnwqVXCTwJbBewB5TeBAAECBAgQIECAAAECBAgQIECgVwUEUL3Kq3ICBAgQIECAAAECBAgQIECAAAEBlN8BAgQIECBAgAABAgQIECBAgACBXhUQQPUqr8oJECBAgAABAgQIECBAgAABAgQEUH4HCBAgQIAAAQIECBAgQIAAAQIEelVAANWrvConQIAAAQIECBAgQIAAAQIECBAQQPkdIECAAAECBAgQIECAAAECBAgQ6FUBAVSv8qqcAAECBAgQIECAAAECBIpWYOMDMWdpY9E2X8MJFJKAAKqQRkNbCBAgQIAAAQIECBAgQKBABFrixfu/E7WvbSmQ9mgGgeIWEEAV9/hpPQECBAgQIECAAAECBAj0uMCm2Nhwbcz4ckO8Hnv0eO0qJFCOAgKochx1fSZAgAABAgQIECBAgACBTgRS+HRlXDD+1vjJ63t1co3TBAh0V0AA1V0x1xMgQIAAAQIECBAgQIBAcQpsfj6eWHRunD1yWAwfekiMunhBLFzZFJufmxVfq98YEevj+TtOi5PG3hoPtaQuvhKrL/xIDB+arh8XX3wiXbPtaK6LH990chyTlaXyYXHQGTfEDT96Lja0XpP9XB/P3futuP3758aZw98Zn1jSGNFcFw9+fUwcmu4de1UsfPG1ne7whUApCgigSnFU9YkAAQIECBAgQIAAAQIE2gm8FE9fd1qc+uC74tgVq2L12mfj8ctGxP+4Z0K85xO1sT771/F+ceBnvh/3rV0a130szX7aJ4Zf/9NYvXZNrF67LL75wcFb69x4b9ww/tT4/L3vjFN+nupaHb9cfnoc8dicuPGfJ8fnlvwhNmVX/ibumfyR+OTU6+PSS5dtnVH1yiPZvefMfSGyjOv3f46XN7drqq8ESlBAAFWCg6pLBAgQIECAAAECBAgQINBOoGlF3DW3Isacc2ocO2Tb0rqKmjjqq/Ni1glZFNTuhs6+vhRP/9u/xI3PV8bwM0+LSfunugbG4BEXxkUXvD0iXornlj8dv8tuf2cct2BVrP7d9+Oydw7cOqPqGz+JP8z8aazKQq01sXrlDTG1ylK/zrSdLx0BAVTpjKWeECBAgAABAgQIECBAgEAnAq+vqov7X18X9T9paLdE7u3x0bOPi/26PAvpz/GHhp0X2W195F5R8XcVHT99wN6x9z+kAGpQ7Dd9elxX84+RvjkIlJOAAKqcRltfCRAgQIAAAQIECBAgUKYCAyrfHG+Nlthw49Q45esPRH3zjsRpwMHT4rLqbcvrdunzjhh1zMExcM//GeOq92tz9V7x929/W/xdOvPUmlj9epui7R//36jc+2+FT9s9fCgnAQFUOY22vhIgQIAAAQIECBAgQKBMBQYcMCFOGzMoWyK3eu45Meldx8ekm+6N5eu6uwH4oNh/wg9j1epZ25bObYqNK2+LO286OT594rJ4tUx9dZvArgQEULsSUk6AAAECBAgQIECAAAECxS8w4NA47ua74/ZLauKgrDe/ivqrz4svHn5EfOLan8cLOyZEdbGv62PVfdfEN047NN5z4cr4zd7nx823j9s6A6qLNbiMQDkJCKDKabT1lQABAgQIECBAgAABAuUsMODA+MBZi2LpozfGNV9qDaJeitU3nhWTrn+i3d5QnUNtfnFxzDntY3HMRS/Emol3x+PLr4wrThkV/2hjp87RlJS9gACq7H8FABAgQIAAAQIECBAgQKC8BAYMGRcnfCEFUbPjshPTPk4tsWHBj2J5UxemQW28N2af/uWY88jBMfbfr41vjj0w9i0vPr0lsFsCAqjdYnMTAQIECBAgQIAAAQIECBSVwIu3xOX3/3mnJg8Y8qk47fJL4twDB0a0vBIvb9x1APV6wwOx8PlNEft8OMa9N9tyfKc6c3/5azT95b9iU+6LlBIoSQEBVEkOq04RIECAAAECBAgQIECAwM4CzfHUrEfiufYZ0+B3xLAhAyMG7RNvHtz6T+T9420j01vxXok1K56M5zZvjo0NV8bn5j4X22//66uxoWX7t4jYFC1/+UtkW5pnZa9Gw9e+F7U7vQ2vJV59VQC187j4Vi4CrX+7yqW/+kmAAAECBAgQIECAAAECZSqw/3PT49Nn3RBz6l7cNgtpfTx/x7/GvIcPjg/NOTsmVrb+E3mvqNinIlPadP/58cl3/FO8Z/zL8YFx74i9Rhwdk7IZU4tj9r88tHXz8ua6WHH9BfHNH/1pq2zLd+PyQ0+Lfzns43HknptiY8OSWFa/9W17rz3yq/hF29yqTMdCt5kYJOMAACAASURBVMtPoPVvV/n1XI8JECBAgAABAgQIECBAoIwEhsYRy56Jh8/429j/odPjvUOHxfChH4tTnzwyTln2vfjuUUNixx7ig+OAKXNj0bkHxKCIGHjk+XHZkitiatVeEYOPibNmfyX+1xERGxadFWPf8emY9P318frEa+MrF382jk/h1KCj4tjbb45bj3pTPHPtqHjP2FvjoZZt1M9cEZPeMSyGn3lPvFBG+rpKYI8tW7Zs6Q7D8KHDYvXaNd25xbUECBAgQIAAAQIECBAgQIAAAQJlJtA2QzIDqswGX3cJECBAgAABAgQIECBAgAABAn0tIIDqa3HPI0CAAAECBAgQIECAAAECBAiUmYAAqswGXHcJECBAgAABAgQIECBAgAABAn0tIIDqa3HPI0CAAAECBAgQIECAAAECBAiUmYAAqswGXHcJECBAgAABAgQIECBAgAABAn0tIIDqa3HPI0CAAAECBAgQIECAAAECBAiUmYAAqswGXHcJECBAgAABAgQIECBAgAABAn0tIIDqa3HPI0CAAAECBAgQIECAAAECBAiUmYAAqswGXHcJECBAgAABAgQIECBAgAABAn0tIIDqa3HPI0CAAAECBAgQIECAAAECBAiUmYAAqswGXHcJECBAgAABAgQIECBAgAABAn0tIIDqa3HPI0CAAAECBAgQIECAAAECBAiUmcCeZdZf3SVAgAABAgQIlKRAU1NTNKxcGStXrozmpqaoe6xuez/T+ebm5u3fhwwZEkOqqrLvVVVVUfXWqhgxcmSkz+mngwABAgQIECDQ0wJ7bNmyZUt3Kh0+dFisXrumO7e4lgABAgQIECBAoIcFUuBUX1e39c9jddHQ0JA9oaKiYnuYlIKldKSwKYVLrUe6r/VIQVUKrNrfP/roMVFTUyOQaoXykwABAgQIEOi2QNsMSQDVbT43ECBAgAABAgT6RyCFTitqa2PFA7Xx4IoVWSNGVVdHzWE1Ub0tLKqsrNztxrXOoKp/bGuwtW7dukizpVIYNX7CBGHUbsu6kQABAgQIlKeAAKo8x12vCRAgQIAAgSIVaGxsjDk3zMrCp7SU7qjRo7NQaPSYMZFP4LQrjhRILVm8OAu8Uhg1YsSIOP2MKVkYtat7lRMgQIAAAQIEBFB+BwgQIECAAAECRSDQGjzdtWRJNhOpNfzpzdCpM5a0bG/JnYujtS3jT5wQp0+Z0qsBWGdtcZ4AAQIECBAoDgEBVHGMk1YSIECAAAECZSrQPniaev60gpl1VMhtK9NfF90mQIAAAQIFKyCAKtih0TACBAgQIECg3AXmzJoVC26Zn80sKqTgqf24tA2i0tK8a66/zh5R7ZF8J0CAAAECZS7QNoAaUOYWuk+AAAECBAgQKAiBtN/SsWPHxZxZs2PyGVNi6fJlBTPrqSOg9Fa9FDotXXZfVnzsuGMihWcOAgQIECBAgEBHAgKojlScI0CAAAECBAj0ocCC+fMjBTjpSIHO1GnTimZvpREjR2Zh2SUzLsvCsxSipdlRDgIECBAgQIBAWwEBVFsNnwkQIECAAAECfSjQ1NQUF184Pa6a+bWYOu28LMhJgU4xHpOnTNkxG2rsuOyNfcXYD20mQIAAAQIEekdAANU7rmolQIAAAQIECOQUSOHTpJMmZkHNTXO/nc16ynlDERSm8GzhD26P0WPGxBfO/nykmV0OAgQIECBAgEAS2BMDAQIECBAgQIBA3wqk/Z7OOevs7KG3/eD2ktq8u7KyMtsbquqtVdnMroZnV2bf+1bY0wgQIECAAIFCExBAFdqIaA8BAgQIECBQ0gIpfDrlpImRNvFOs4VSYFOKR9rHakhVVXxp+kVZ99KG5Q4CBAgQIECgfAUEUOU79npOgAABAgQI9LFAuYRPrazjJ0zIPgqhWkX8JECAAAEC5SsggCrfsddzAgQIECBAoA8F0p5Padldqc98ak/aNoRKy/LSzCgHAQIECBAgUH4CAqjyG3M9JkCAAAECBPpYoHXD8fTYUl521xlr2xAqLctr/d7Z9c4TIECAAAECpSfgLXilN6Z6RIAAAQIECBSYwJVXzIzGxsa4ed7ckt3zaVfkKXQ6Yfz4bE+otBTRQYAAAQIECJSXgACqvMZbbwkQIECAAIE+Flgwf37ctWRJ9ia4ESNH9vHTC+txaSPyUdXV2VLENCvMQYAAAQIECJSPgACqfMZaTwkQIECAAIE+FkgzfebcMCtOnzI5Ro8Z08dPL8zHpVlgKXy6+MLphdlArSJAgAABAgR6RUAA1SusKiVAgAABAgQIRBaypE3HL50xA8c2gcrKymw22IMrVsSK2louBAgQIECAQJkICKDKZKB1kwABAgQIEOhbgbT0rqGhIQtb+vbJhf+0NBvsqNGjs4DOUrzCHy8tJECAAAECPSEggOoJRXUQIECAAAECBNoIpFAlLb2bOu28KPd9n9qw7PQx7QeVjjmzZu103hcCBAgQIECgNAUEUKU5rnpFgAABAgQI9KNAeutdOk6fMqUfW1HYj05L8aaePy1unb8ge0NgYbdW6wgQIECAAIF8BQRQ+Qq6nwABAgQIECDQRqCxsTF7692ll8+IFLI4OheYPGVKDBkyJJst1vlVSggQIECAAIFSEBBAlcIo6gMBAgQIECBQMAJp6V0KVcZPmFAwbSrkhqRZUHctWWIWVCEPkrYRIECAAIEeEBBA9QCiKggQIECAAAECSaB19lMKVRxdE0hBnVlQXbNyFQECBAgQKGYBAVQxj562EyBAgAABAgUlcNfixVFRUWH2UzdHpXUWlDfidRPO5QQIECBAoIgEBFBFNFiaSoAAAQIECBS2wIJb5sfkM2w83t1RGj1mTBbcLVm8uLu3up4AAQIECBAoEgEBVJEMlGYSIECAAAEChS2worY2mpub4wR7P3V7oNJm7SmEuvWW+d2+1w0ECBAgQIBAcQgIoIpjnLSSAAECBAgQKHCBFQ/UxogRI6KqqqrAW1qYzUszx9atWxcNK1cWZgO1igABAgQIEMhLQACVF5+bCRAgQIAAAQJbBdIMqBNO9Oa73f19GDFyZLYZeXJ0ECBAgAABAqUnIIAqvTHVIwIECBAgQKCPBerr6rLld2kZmWP3BUYfPSbSTDIHAQIECBAgUHoCAqjSG1M9IkCAAAECBPpYIAVQlt/lj15dUxMNDQ3hbXj5W6qBAAECBAgUmoAAqtBGRHsIECBAgACBohOoe6wuqg+rKbp2F1qDUwCVjhToOQgQIECAAIHSEhBAldZ46g0BAgQIECDQDwKP19dH2sPIkZ9AehtemklmI/L8HN1NgAABAgQKUUAAVYijok0ECBAgQIBA0Qi0hiUjBVA9MmYpyEszyhwECBAgQIBAaQkIoEprPPWGAAECBAgQ6GOBxsbG7IlmQPUMfNVbq2LdNtOeqVEtBAgQIECAQCEICKAKYRS0gQABAgQIEChagTQDalR1ddG2v9AanvaBWrduXaE1S3sIECBAgACBPAUEUHkCup0AAQIECBAobwFvbOvZ8U/7QKWjdWZZz9auNgIECBAgQKC/BARQ/SXvuQQIECBAgEBJCKx8dmWMPMQG5D01mK1LGS3D6ylR9RAgQIAAgcIQEEAVxjhoBQECBAgQIFDEAq2zdoq4C5pOgAABAgQIEOhVAQFUr/KqnAABAgQIECBAgAABAgQIECBAQADld4AAAQIECBAgQIAAAQIECBAgQKBXBQRQvcqrcgIECBAgQIAAAQIECBAgQIAAAQGU3wECBAgQIECAAAECBAgQIECAAIFeFRBA9SqvygkQIECAAAECBAgQIECAAAECBARQfgcIECBAgAABAgQIECBAgAABAgR6VUAA1au8KidAgAABAgRKXaCqqipWPruy1LvZZ/1rbGzss2d5EAECBAgQINB3AgKovrP2JAIECBAgQKAEBareWhVNTU0l2LP+6dK6bQFUdU1N/zTAUwkQIECAAIFeERBA9QqrSgkQIECAAIFyEaiorIyGlWZA9dR4mwHVU5LqIUCAAAEChSUggCqs8dAaAgQIECBAoMgERo4cGc3NzWZB9dC4pRlQo6qre6g21RAgQIAAAQKFIiCAKpSR0A4CBAgQIECgKAVGjByZtdssqJ4ZvrrH6mLkIVtNe6ZGtRAgQIAAAQKFICCAKoRR0AYCBAgQIECgaAUqKytjyJAhUV9XV7R9KKSGpyCvNdQrpHZpCwECBAgQIJCfgAAqPz93EyBAgAABAgQibZidZu448hNI4VNazpiWNToIECBAgACB0hIQQJXWeOoNAQIECBAg0A8C1YfVxOP19f3w5NJ6ZF1dXTabzAyo0hpXvSFAgAABAklAAOX3gAABAgQIECCQp8DoMWOyGlbU1uZZU3nfftedi7PZZOWtoPcECBAgQKA0BQRQpTmuekWAAAECBAj0oUDaB2rEiBGx4gEB1O6yNzY2RkNDQ4w+emuYt7v1uI8AAQIECBAoTAEBVGGOi1YRIECAAAECRSZwwokTwgyo3R+0ZFdRURGts8l2vyZ3EiBAgAABAoUoIIAqxFHRJgIECBAgQKDoBMZPmJBtoL1k8eKia3shNDgtvxM+FcJIaAMBAgQIEOgdAQFU77iqlQABAgQIECgzgbQM76jRo2PJnQKo7g59fV1dtvxu8hlTunur6wkQIECAAIEiERBAFclAaSYBAgQIECBQ+AIpQElvw0uBiqPrAim0S3toeftd181cSYAAAQIEik1AAFVsI6a9BAgQIECAQMEKVNfUZEHK7BtmFWwbC61hafPxu5YsidPNfiq0odEeAgQIECDQowICqB7lVBkBAgQIECBQ7gIpSDELquu/BXNumBVDhgyJtIeWgwABAgQIEChdAQFU6Y6tnhEgQIAAAQL9IJCClLSczCyoXeOnpYpp9tPU86ft+mJXECBAgAABAkUtIIAq6uHTeAIECBAgQKAQBS69fEY2C2pFbW0hNq9g2pRCulHV1WY/FcyIaAgBAgQIEOg9AQFU79mqmQABAgQIEChTgbQXVHoj3pVXzIympqYyVcjd7QXz52ch3XlmP+WGUkqAAAECBEpEQABVIgOpGwQIECBAgEBhCaRZUCl8mjPLhuTtRyZtPJ72fjp9yuRIYZ2DAAECBAgQKH0BAVTpj7EeEiBAgAABAv0gUFVVle1tdOv8BZH2OnLsELj4wulRWVkZU6fZ+2mHik8ECBAgQKC0BQRQpT2+ekeAAAECBAj0o8DkKVOypXjnnHW2pXjbxiHNCEtvCbzm+uuyEKofh8ejCRAgQIAAgT4UEED1IbZHESBAgAABAuUn0Bq0TDppYvl1vl2P06bsc2bNjqnTzrP0rp2NrwQIECBAoNQFBFClPsL6R4AAAQIECPSrQFpqdvO8uZH2PUpLz8r1aFi5Muv/CePHW3pXrr8E+k2AAAECZS0ggCrr4dd5AgQIECBAoC8ERowcmS05u2vJkrIModJm7KecNDHSvlhpc3YHAQIECBAgUH4CAqjyG3M9JkCAAAECBPpBYPSYMXH1dddGCqEWzJ/fDy3on0em8CktP0zh08If3G7fp/4ZBk8lQIAAAQL9LrBnv7dAAwgQIECAAAECZSIwfsKErKdfmn5RrGtsjEtnlPZsoLTs8AtnnZ31WfhUJr/kukmAAAECBDoREEB1AuM0AQIECBAgQKA3BNqGUE1/acqW5vXGc/q7zrTnU+uyO+FTf4+G5xMgQIAAgf4XEED1/xhoAQECBAgQIFBmAm1DqDRLKG1SnjYrL5Ujve0ubbhu2V2pjKh+ECBAgACB/AXsAZW/oRoIECBAgAABAt0WSCHU0mX3RZopdOzYcdnPbldSgDfMmTUrvnD25yPteWXmUwEOkCYRIECAAIF+EhBA9RO8xxIgQIAAAQIE0tvxli5fls1+OnbcMUW9OXmayZWW3M2ZNTsumXFZtrSwlGZ1+W0lQIAAAQIE8hMQQOXn524CBAgQIECAQF4CaZlaCqGmTjsvrpr5tSzESWFOMR3prX5pFlfaWD3N6po8ZUoxNV9bCRAgQIAAgT4QEED1AbJHECBAgAABAgR2JTB12rRYePuiaG5qio9++CORlrI1NTXt6rZ+La+vq8uCpxScjT9xQhakpVldDgIECBAgQIBAewEBVHsR3wkQIECAAAEC/SRQXVOzfTbUglvmxxGHf7ggg6gUPKXldpMmnhwVlZXZrKdLZ8woqY3U++lXwGMJECBAgEDJCuyxZcuWLd3p3fChw2L12jXducW1BAgQIECAAAEC3RRIs59unT8/UhCVjslnTIkTJkzI3izXzap67PL0drvUnsfr62PIkCFx6eUzss3Ge+wBKiJAgAABAgRKSqBthiSAKqmh1RkCBAgQIECg1ATaBlHNzc1x1OjR2XK39Ja5vjjSflR3LV4cS+5cHOvWrYtR1dVZGNZXz++LPnoGAQIECBAg0DsCAqjecVUrAQIECBAgQKBXBZYsXhwrHqiNB1esiIqKikhL9kYfPSb7mTYz76kjLbFLs53qH6uLhoaG7Flpj6fTp0zp1xlYPdU/9RAgQIAAAQJ9IyCA6htnTyFAgAABAgQI9IpAmhWVAqIURqWwKM2MSoFU2gC85rCaGFJVlQVFlZWV2bmOGpHqaFi5MitKdTT+sTH7ngKndKQldq3hltlOHQk6R4AAAQIECOxKQAC1KyHlBAgQIECAAIEiEkhBUl1dXTQ8uzLSkrn0PYVSXT1S2JRCqxRepRAr/enJGVVdbYfrCBAgQIAAgdISaBtA7VlaXdMbAgQIECBAgED5CbSGRu17noKoNNOpsyPdl2ZJOQgQIECAAAECvS0ggOptYfUTIECAAAECBPpJIAVMDgIECBAgQIBAIQgMKIRGaAMBAgQIECBAgAABAgQIECBAgEDpCgigSnds9YwAAQIECBAgQIAAAQIECBAgUBACAqiCGAaNIECAAAECBAgQIECAAAECBAiUroAAqnTHVs8IECBAgAABAgQIECBAgAABAgUhIIAqiGHQCAIECBAgQIBARwKbYuPK22Lx18fEoUOHRXqV8fChh8Unvr4w5ix9LjbEX2Pddy+JG//0ekc3O0eAAAECBAgQKBgBAVTBDIWGECBAgAABAgTaCrTEnx48K04ad1Vc8+rn4upHV8XqtWti9dofxux3r4vXF4+PUUMPjiNmNMemLW3v85kAAQIECBAgUHgCAqjCGxMtIkCAAAECBMpeYFNsfOIrceaZD8fqT1wV3/3XU2PskL22qewXBx1zcVywYEnMO3m/spcCQIAAAQIECBSHgACqOMZJKwkQIECAAIGyEmiMJ+96KFbFPjFs9Afi4I7+i23AwfGxSy6Jc/a1/K6sfjV0lgABAgQIFKlAR/85U6Rd0WwCBAgQIECAQIkIvP5s/PL+jRHx12j6y3/Fps66Nfjj8anP7tFZqfMECBAgQIAAgYIREEAVzFBoCAECBAgQIEBgm8CAvWOfIQMjoiXWX3dz3Nj4Wic0b4q3HFQVA2VQnfg4TYAAAQIECBSKgACqUEZCOwgQIECAAAECrQID3h0fOq5q67eWe2LOmHPji8ufjw2t5dt/DozKcV+Jc/9xz+zM60+cGx/Y/ra89Ma8qTHnxdYlehvi6Wvfv+1NelvfqDfyG0/H1mhr69v2vjPvX+Ibpx0Sw8+8J15INW5+Pp6cd3Ick9V5SIy6+O6ob968/ek+ECBAgAABAgS6KiCA6qqU6wgQIECAAAECfSYwOA6YeHlccsSgrU9seTCWf+H4+MTFC2LhyqZOW7HnB2+MJ9eujl/e+ak46A1X7Rvvu+ipWP2778dl70yzq3Ycm1ddEZ8dd0n861Vz498eackKBm18OBZMPj4mXlUXq7IzLbHhjgvicxfdG8/JoHbg+USAAAECBAh0SUAA1SUmFxEgQIAAAQIE+lhg8Mdi8o1z49oTW990lwKgmXH5uKPjE19/IMdMpIExeMiwGNJZcwfsHXv/w84B1ICDZsbda38dyy99+9a7Nq2Oe6fdEk9PvDseX7smVq+tj/u+enCkOGzT/Q9F7Uuts6o6e4jzBAgQIECAAIGdBQRQO3v4RoAAAQIECBAoHIHBh8fx1y6NZTd9Kj6+bTJUxEuxeu45Man6850sy9vd5u8VFX9XsfXml/4alTPnxzfHHhj7Zmf2i4M+eXTUZJ9Xxwvr/s/uPsR9BAgQIECAQJkKCKDKdOB1mwABAgQIECgWgf3iwLGzY279orj57AOyWUhZy1uX5X3lwXihp5fEDTkkRu2/185A+x0YI/fZ+ZRvBAgQIECAAIGuCgiguirlOgIECBAgQIBAfwpU1MRRX62NXz46Oy5ruyxv0Xkx6fonOtigvD8b69kECBAgQIAAgZ0FBFA7e/hGgAABAgQIEChogQFDPhWnXftw/PQ7H9u20XhLbFjwo1je1NPToAqaQeMIECBAgACBIhMQQBXZgGkuAQIECBAgUA4Cv4lFlz0c6zvt6qD4x6O+FfOuO3TrkryWJ6Ju1da313V6iwICBAgQIECAQD8KCKD6Ed+jCRAgQIAAAQKdCez1RG2syDmraVDsP2ZCfHr75uSd1eQ8AQIECBAgQKD/BQRQ/T8GWkCAAAECBAgQeIPAgL+/PxataIxNbyjp4MSgD0bNQR0lURvi5ebXd7ph84tPxi/WdanWne7zhQABAgQIECCQj4AAKh899xIgQIAAAQIEeklgj/+nJZ677F9iZkNTJ09oiRdrF8cPW94SB3/tjJhY2eY/697ywTj8nQMj4hex/JblUd+c9odqiT/VXxmnX/RcDP7HVBax6eWmeHV77a9F86vNW7/956uxof2WUi0vx8t/TcX/FRua/s/2u3wgQIAAAQIECHRFoM1/qXTlctcQIECAAAECBAj0mUDL/bFw7Gdj0k13xsKVbYKo5rr48U1nxFnT18f+514fNxz/ttgaKW1r2YD3xujTD4lB0RIb7rggJr3rn2L40EPio3PfHud8e0ocsO2/ADctnBwfGnpETPrxnyM2PhQ/uqNxawXPLI3vP7Ujmkrh1dawKxX/OV548JfxQvuAqs9QPIgAAQIECBAoRgEBVDGOmjYTIECAAAECJS/w31U3x8/XronnH/18HL3n6vj/rj4shg8dtvXPu86Ir6w5MsYtuivuu+hD2wOlHSiDYv8Tro35l9Rse1PeW2L42TfHd2dNig8Nfi27bOCRU+Pciy6NK5YtjX+vvDw+8M7z4sbnW5fmPR3LT3xvDD/znlgbv4l7Jr83/uf0X8XWbc5bYsOis2LsO6bGnBd3Xt634/k+ESBAgAABAgR2Fthjy5YtW3Y+lftb+g+f1WvX5L5IKQECBAgQIECAAAECBAgQIECAQFkLtM2QzIAq618FnSdAgAABAgQIECBAgAABAgQI9L6AAKr3jT2BAAECBAgQIECAAAECBAgQIFDWAgKosh5+nSdAgAABAgQIECBAgAABAgQI9L6AAKr3jT2BAAECBAgQIECAAAECBAgQIFDWAgKosh5+nSdAgAABAgQIECBAgAABAgQI9L6AAKr3jT2BAAECBAgQIECAAAECBAgQIFDWAgKosh5+nSdAgAABAgQIECBAgAABAgQI9L6AAKr3jT2BAAECBAgQIECAAAECBAgQIFDWAgKosh5+nSdAgAABAgQIECBAgAABAgQI9L6AAKr3jT2BAAECBAgQIECAAAECBAgQIFDWAgKosh5+nSdAgAABAgQIECBAgAABAgQI9L6AAKr3jT2BAAECBAgQIECAAAECBAgQIFDWAgKosh5+nSdAgAABAgQIECBAgAABAgQI9L6AAKr3jT2BwDaB38Q9kw+K4UOHtflzSHxo/qrY1C2jTdH04Klx6E71DIvh770hlr/erYpcTIAAAQIECBAgQIAAAQIE+kRAANUnzB7SEwJNTU1RX1e30590rniOd8ZxC1bF6t8tj3kn77et2S2x/rrb4vamzV3vxua6uHtWXbRkdwyKfU+eF8t/tyZW/+L8GLtn16txJQECBAgQIECAAAECBAgQ6CsB/1ztK2nP6ZZAa9i04oHaaFi5MhoaGnLeP6q6OkYeMjKqa2pi9JgxOa/t98IBB8cRpx8d71r0vfh1akxLbSxacUZMHP+2GLjLxm2KjU/dEXf8pnXO1Nuj+oSaOECUvEs5FxAgQIAAAQIECBAgQIBA/wkIoPrP3pM7EEgznJbcuTjuWrIkK03B0uijx8TU86dFZWVlFjC13pZCqhROtYZV9Y/Vxa3zF0RFRUUWQk0+Y0qMGDmy9fKC+jmgYt94854fjI9UPxs/ffSleO67D8WTx58e1bsMkhrjiTvqYs/3VcWgpxu3zYIqqK5pDAECBAgQIECAAAECBAgQeIOAAOoNJE70h0AKnmbfMCser6+PESNGxNXXXZuFSCl06uxoG0i1znpKYdSSxYvj1lvmZyFWCrCuuf66qKqq6qyafju/ZcAH4uRT94qnHn00Wp5ZEHMe/mQsPPLvc7Zn86pb4oa7j45zvrU+ZpwjgMqJpZAAAQIECBAgQIAAAQIECkZgl/MtCqalGlKSAikwunLmzJg08eSsfwtvXxRLly+L8RMmZDOeutvpFEpNnjIlHnn0Z5Hqam5qio9++CPZM7pbV+9fv2dsOvKiuPCdaeHdH6J+zo+iPudWUL+P/7hlafz5q5PiqDfverFe77ffEwgQIECAAAECBAgQIECAQNcEBFBdc3JVLwik5XPHjh2XLbm7ae6347Yf3L7TErt8H5n2g0ph1iUzLsuekZ6VnllQx4ARMfr0Q2JQatQzS+P7T73aafM2N94dt9/zkZg4Zlh07S/upti48rZY/PUxbd6Y9+mYdNO9sXzda50+J2J9rLrvmvjGaYfseFvf2Evj8tsejxfaB2TNdfGjWbO2PWNqzHkxvYavJf5Uf2VcOmb41vvHXh5zniumzeJz0CgiQIAAAQIECBAgQIAAgd0S6Nq/Y3erHv6QqgAAIABJREFUajcR6FwgLZM75aSJMaSqKput1LqErvM7dr8kzYhKQVQ60jMLK4TaK/YfMyE+nSVQT0ftPb+M9R12dWP89v574uETT4iJVXt1eMXOJ9fHqrmfjPd/6sfxyHu/FT9ZuyZWr62PZddUxKtXnxdfHH1eXN7QQSi08eFYcNrH4lN3/U28+cuPxep032++H9e+c0Us/OpJ8cmzvhc/37gthdr8aPz7yafGtFmz48tzX9i2H9VfYtXc8XH0SbfE7c9v2yi94bsx54TLY05jrtBr59b7RoAAAQIECBAgQIAAAQKlJSCAKq3xLIrepPDpS9MvyvZ4SrOecu3z1FMdSntALdw2wyqFUCtqa3uq6vzrqTw+PnfB27N6Ni38Tty46v+8sc6mu+Pf/3X/mPi5mtjvjaXtzrTEi4vPihO//moccPXlMWvsgbFvdsV+ceBn5sa86w6NQS33x8Lx7UKhzb+Key7457jqiTFx7hXnxGkjtu2/NfjwOP7qeXHdmEGx6cczYvL0e+O5lEENODxO+9HqeP6Bz8a7svqbo3Hxl2Nm49SY9+vfxuq1q+OXy0+Pj6dwreWRWFbfcbTWrvG+EiBAgAABAgQIECBAgEAJCgigSnBQC7lLreHTCePHZ5uD92VbU9B187y5WfB18YXTC2gm1OD4p08cF2OyWVC/iOX3/jo27ASzMV6445a486Sz49yD/mankg6/bHwwfjD32WgZNCZOHl0VO+8WNSj2P+HirftOtdwTN970820zrjbFxqduiXm1LTHw+E+/cZbVgEPjUxeOz4KmTfffEF97+M/bH53e6PcP2bcN8dLI/x3fnTk2qivS/7UMjMEjxse46jRj65X4w+/XhzlQ29l8IECAAAECBAgQIECAQFkJCKDKarj7t7Np6duVV8yM/gif2vY8vRVvxMiR2XK8xsbGtkW7/JyuT5ump1lUrX9SmJXe4pfPMaBqYpx5+luy/ZM2LPhRLG9qs9nSxofih//2tzHmuPd0YfbTpmiquyMWpOVvH3pvjKrs4K/4gHfHh47b+lbATXc/HCuyZzXGk3c9FKtinxj2vuEdPmfAAUfHcds2TH/yod90sFTw7fGBkf+jXeC1f7xt5OB8aNxLgAABAgQIECBAgAABAiUg0MG/TkugV7pQcALpbXcpqElL4VIA1N9HmgmVZkSlNnX1mDNrVvZGvRUP1MbIQ0ZGzWE12Z8UrKW3+J1z1tmR+rl7x1viPZ8evXUpW8viuHHxC7F1B6WtgdK8/T8Tp77/77pQ9V9i9S8atu3H1Nnlg2PYuw+JrLaWJ6JuVUvE68/GL+/f2NkNW88PGBHvOmLv7POmZb+Ip9J+4w4CBAgQIECAAAECBAgQINAFAQFUF5Bckr9ACm/S7KGb5s3Nv7IeqKF1Od7j9fWxYP78XdaYZj3NmTU7e6PeI4/+LC6dMSOmTpuW/UkbnC+8fVE2C2rSSRN3WVdnFww46Iw47+Q0W6gl1t9ZG7Vps+/NdbHkqmfjA+cfE9U9+Ld1zyEHxPs6a0in5wfH/sP277RUAQECBAgQIECAAAECBAgQ6EygB/9J29kjnC93gRQ83Tp/QUw9f1o2A6pQPNIyvKnTzos5N8zKOXMpLa9L7b/6umsjvVGvo6O6pibShuqpryls272jKj5wwsfjoHRzw21x4wNro+mpO+Km/39qTP3Y33e/yqfWxOpdzlLaN/at3LNN3V3cq+lt+8S+/t+jjZuPBAgQIECAAAECBAgQIJBLwD8hc+ko6xGBFPAMGTKk0/CmRx6ym5Wcvi1QujXHLKgFt8yPUdXVMX7ChJxPSYHW5DOmRLp+946BMfj9n4nPZPssvRTPfeebcdWsn8V+5x8ZH+jy39S9Y/h7R0S2n/krT0Xdbzt4o15EbG7eEP+ZGvnuo2LcAX8Tsech8Z5PbN2r6bVHfhW/aLMF1Y6+vBbNrzZHxKDY79OHdaNNO2rwiQABAgQIECBAgAABAgTKU6DL/6wtTx69zlcgzQi6a8mSbPZTvnX1xv1pKV5raNTZ/k0PrliRXdOV56dAq7m5efc3JR9QE8dPq9kaIDXcE0t+8ckO3mSXqyUDo3LU0fHpbW/UW/Ho77ftJdX2nk2x8Y+/i9/uFCRVxfuOfPfW5z7zYCx7oaPg6uVY99uXI+K9Mfrwt7fbbLxt/T4TIECAAAECBAgQIECAAIGdBQRQO3v41sMCaWZRmv20q9lDPfzYblXXOgtqyeLFb7gvbTCejjS7qStHCrQqKipi5bb7OrsnzUBa32HhwKis+UxMPnDg1plG00+JiR29ya7De7edrBwfX5h5aAxKe0ldd3Pc2Phau6sb4+kfPxMtI86Jyz5zwLYgaWBUfvzimDkmJVePxu033B/PtZ8F1fQf8eCd/x37nntenHfQ32yvc/tsqtgQLze3X/PXHE0btj5/08tN8er2u3wgQIAAAQIECBAgQIAAgXISEECV02j3Q1/TG+PGn5h76Vo/NGunR6bQaPSYMXHXnW8MoFovbO7m2+1SnZ0em5+Pp+6ti9+/9mgs+0UHkczgo+Kksw+JgXuOjoljhr1xptHm5+Kndz25Lcz5fdTfVRcv7BQWDYr9T7g6Zp+8X0TLPTHnrKtiznPb3s63+fl44tqz4vNPHR9Tbzgtxg5u838BAw6NT/3vi2LSgQNj0/2XxOe+fHfUN2+tePOLi2P2F6+J2hOujW+e8/7Yd3vnXopf/nBF/Dr7/otYfu+vY8P2sojNjXfHHT/c+na9TU8/GitebB+GtbnYRwIECBAgQIAAAQIECBAoWYE9tmzZsqU7vRs+dFisXrumO7e4tkwF0uyhY8cdE0uX3dflGUT9RbWitja+cPbn4+lfPRPtw6P0O582IO/KLK605PCjH/5I9la8tDH5zsdv4p7J42P6w28MYfaauiR+ecH7Yq/WG/5yW3zxynfEFdfWtAl7Or8/u22fqfHNJ86Psdv3FG+JP9XNjUU3zYt/e6Rla82DjoqxX50Yp376Y1Fd0SZ8an1u+plCqh/MjnlfWxYPbbtt4JFT45zjx8Zpnzx4R3teXxazPnhufOuVtjenz8fG1J9fE5/5+Ynx4em/aVe4Twy//t64f3xVu/O+EiBAgAABAgQIECBAgECpCbTNkARQpTa6BdSfBfPnx623zI9HHv1ZAbWq86akvxg3zf12Nhuq7VXnnHV29pa89Ja7XR3pDXhpE/Jf/PpXu7pUOQECBAgQIECAAAECBAgQKGmBtgFUJ1MgSrr/OtdHAvWP1RX8zKe2FOlNd617PrU9f9750+Lx+vpI4VKuo76uLubMml2wG67narsyAgQIECBAgAABAgQIECDQmwICqN7ULfO601vlRh7Stc27C4EqtbXusbo3NCVtQJ6W4KVw6cqZM7PZUO0vSrO90kypE8aPj8lTprQv9p0AAQIECBAgQIAAAQIECJS1wPbdYspaQed7RSDNGpp8RvGEMe33fmqL0rr/05VXzIwldy6OtL9TCqwa/9gYaebTunXr4vQpk+PSGTPa3uYzAQIECBAgQIAAAQIECBAgEBECKL8GvSqQK9Tp1QfvRuVDqqo6XILXWlUKodLb8tKG5Wl5YZotlfp3+hlTsvNVVTbWbrXykwABAgQIECBAgAABAgQItBUQQLXV8LmsBVKA1NzcnNMgBU4piGqdEZXzYoUECBAgQIAAAQIECBAgQIBAJmAPKL8IBAgQIECAAAECBAgQIECAAAECvSoggOpVXpUXk0Day2nIkCHF1GRtJUCAAAECBAgQIECAAAECRSEggCqKYSrORlZUVMTKlSuLqvFpHygHAQIECBAgQIAAAQIECBAg0LMCAqie9VRbG4ERI0fGusbGNmcK++PKZ1eGjcQLe4y0jgABAgQIECBAgAABAgSKU0AAVZzjVhStHnnIyEihTrEcDStXRtVbzYAqlvHSTgIECBAgQIAAAQIECBAoHgEBVPGMVdG19MjRo+Px+vqiaHdjY2OsW7cuqmtqiqK9GkmAAAECBAgQIECAAAECBIpJQABVTKNVZG19z3vek7X4mWeeKfiWr6itjbRnlQCq4IdKAwkQIECAAAECBAgQIECgCAUEUEU4aMXS5De96U3x+f/1hah94IGCb/Jddy6O0WPGFHw7NZAAAQIECBAgQIAAAQIECBSjgACqGEetiNr84Y98JL79bzfFhg0bCrbV9XV10dDQEONPnFCwbdQwAgQIECBAgAABAgQIECBQzAICqGIevSJo+2GHHRYfrB4Vd/zgjoJt7YJb5seIESMsvyvYEdIwAgQIECBAgAABAgQIECh2AQFUsY9gEbR/6rRpcd3VVxfkLKg0++nBFSti6vnTikBSEwkQIECAAAECBAgQIECAQHEKCKCKc9yKqtWts6C+cf31BdfuK6+YGaOqq+3/VHAjo0EECBAgQIAAAQIECBAgUEoCe5ZSZ/SlcAVmXnlljB09Jj76sY/FUUcdVRANnTNrVrb309Jl9xVEezSCAAECBAgQIECAAAECBAiUqoAZUKU6sgXWrwMOOCCuuPJrcc6ZZ8W6dev6vXUramtjzqzZccmMy2LEyJH93h4NIECAAAECBAgQIECAAAECpSwggCrl0S2wvk069dSYOOmU+OykSf0aQjWsXBkXXzg9Thg/PiZPmVJgSppDgAABAgQIECBAgAABAgRKT0AAVXpjWtA9uuTSS7MZR/0VQqXw6ZSTJkZVVVVcc/11BW2lcQQIECBAgAABAgQIECBAoFQEBFClMpJF0o83velNcd31128PoV544YU+a/mSxYuz8CktuVv4g9v77LkeRIAAAQIECBAgQIAAAQIEyl1AAFXuvwH90P/WEGrsuHHZxuQ/vOeeXm1FU1NTXDlzZnxp+kXZ2+5u+8HtUVlZ2avPVDkBAgQIECBAgAABAgQIECCwQ8Bb8HZY+NSHAimEuujii+PAAw+MC6edH7W1tTHt/PMjbVbek0d9XV2231MKoa6+7toYP2FCT1avLgIECBAgQIAAAQIECBAgQKALAmZAdQHJJb0n8OnjjotHHv1Z7LPPPtlsqEsvuSR6Ylleestd2utp0sSTs+V+S5cvEz713jCqmQABAgQIECBAgAABAgQI5BTYY8uWLVtyXtGucPjQYbF67Zp2Z30lkL9ACp7+/dZb4/aFt8UHq0fFJ489NkZVV3d5VlSa7ZSCpxUP1GZv2Uv3nnf+tKiuqcm/cWogQIAAAQIECBAgQIAAAQIEuiXQNkMSQHWLzsV9IbBu3br4ycMPx4+WLo0n6h/PHjlx0imx9957Z0v20onfr12bna97rC6am5qioaEh+z5ixIioPqwmTp8yJXvTXXbS/xAgQIAAAQIECBAgQIAAAQJ9LiCA6nNyD9xdgQ0bNsQf//jHWLtmTfzpTy9FY+Mfs6p+t/q32c+qqqqoemtVtswuvd0ufXcQIECAAAECBAgQIECAAAEC/S/QNoCyCXn/j4cW5BDYd999I/1597vfneMqRQQIECBAgAABAgQIECBAgEAhC9iEvJBHR9sIECBAgAABAgQIECBAgAABAiUgIIAqgUHUBQIECBAgQIAAAQIECBAgQIBAIQsIoAp5dLSNAAECBAgQIECAAAECBAgQIFACAgKoEhhEXSBAgAABAgQIECBAgAABAgQIFLKAAKqQR0fbCBAgQIAAAQIECBAgQIAAAQIlICCAKoFB1AUCBAgQIECAAAECBAgQIECAQCELCKAKeXS0jQABAgQIECBAgAABAgQIECBQAgICqBIYRF1oK7ApNq68Lb4z71/iG6cdEsPPvCdeaFvsMwECBAgQIECAAAECBAgQINDnAnv2+RM9sEgEfhP3TB4f0x9+rdvt3WvqkvjlBe+Lvbp9Z743bIqmB0+LD5/5aLS0VnVU6wc/CRAgQIAAAQIECBAgQIAAgf4SMAOqv+QL/rnvjOMWrIrVa5+Nn37nY3FQ1t59Yvj1P43Va9d0+Of5n18bU48Y1I89GxiVR30/frX217H80rf3Yzs8mgABAgQIECBAgAABAgQIEGgrIIBqq+FzBwKD4h9HHhpDOihpf2rA/hPin786PvZ7fUv7ot77vvGBmLO0sV39e0XF31W0O+crAQIECBAgQIAAAQIECBAg0F8CAqj+ki/R5w444Og46Znfx+/7pH8t8eL934na1/ow8OqTfnkIAQIECBAgQIAAAQIECBAoLQEBVGmNZ//3ZsDh8YWFJ8QBvd6STbGx4dqY8eWGeD326PWneQABAgQIECBAgAABAgQIECCw+wICqN23c2e/CaTw6cq4YPyt8ZPX+36r837rtgcTIECAAAECBAgQIECAAIEiFRBAFenAFV6zN0TdrKXxQocN2xQbV34vFlxUHcOHDtv257D4xNcXxcKVTTvf0VwXP5o1KxZ/fUwcOnRqzHnxtdjYcEt847RDYvjQQ2LUV+6IBxedFieNvTUeyl5190qsvvAj2+ocF198YuPO9bV+2/x8PDnv5Dgme3569gNR37y5tdRPAgQIECBAgAABAgQIECBAoBcF9uzFulVdVgLN8ZeXt8Sb39DnTbHxiQvipBMfjP88eXYs/91RccCA9bFq7mlx4te/Gpd///F4ufbqmFq1V8SLs+LsD82Oh7bX8U+xx39MjZO+/ECs2nbuL6/sFVUnfT/uO/k3cc/k8TH94b+N4dffG/ePr9p+V8RrbT5H7LX5V3HPOSfH9NossYqIl2L13HPic/+1IH561Udjv52u9oUAAQIECBAgQIAAAQIECBDoaQEzoHpatCzrWx/P33FJXPa7TW/s/cb7Yt4l98WqODJO/eJH44DsN26/OOjMS+PCdw6MaHkkltWv33rf/tNi7to18fwDn413ZWfuj2+teE+c8+iqWL12TfZn1c3HxcHd+a3dtDqWnX1N/Pj4u+PxVMfvHohF5x4QgyJi090Px4oms6DeOGjOECBAgAABAgQIECBAgACBnhUwA6pnPUu8tm3L3S7spJtHTXhjQdPvouH5DoKpAXvH3v8w8I3XR8SAin3jH7KSw2PixafHsUPy2Ofppb9G5S3z45v7b6tjwIHxwUnjoubG2fFQy2/j+T+9FlH5Nx22w0kCBAgQIECAAAECBAgQIECgZwS6M5ekZ56oliIW2CeGX//T7bORWmclrV5bH8uuOTz2/e8tb+zbWz4e48YMioGf+HiMeUvbvHP/eNvIwRHxSvzh9+vbLZprrWbfeHNF23taz3fj55BDYlRr+NR6234Hxsh90pcNsaHp9dazfhIgQIAAAQIECBAgQIAAAQK9JJDnv+57qVWqLTKB/eLAz3w5Lnikgy3IBxwax819No7b3qP18dzS2+Kx/1gUV925YftZHwgQIECAAAECBAgQIECAAIHSFTADqnTHto97tn8MPSBHntlcFyu+f26cOfxD8bmfDo6WE/49Fp27bx+30eMIECBAgAABAgQIECBAgACB/hAQQPWHekk+c9+omXZsHPCGvrXEnx67KM6uPjn++eGD4iNLn47Hrzkzzj1sv+h4B6g3VOAEAQIECBAgQIAAAQIECBAgUOQCAqgiH8DCbP5L8cTUGbGw6fXY+MRX4syTF8dDb78gZs3+5zhtRGVhNlmrCBAgQIAAAQIECBAgQIAAgV4TEED1Gm35Vry58fa4cssRMbryv+L5n/wsVkXEXqMPjyMHd/fXbUO83JznJuH/+Wps2Fy+Y6HnBAgQIECAAAECBAgQIECgEAS6mwgUQpu1oZAFNv8qfvjVRTH4uHfHfrFpe0s3vdwUr27/lj40R9OG17Izqey/Nz4cV93yq3Zvw8v1lrodb9Fbs+LJeG7z5tjYcGV8bu5zbZ4aEX945Y0BVMvL8fJfd2qMLwQIECBAgAABAgQIECBAgEAvCgigehG3NKpeH8//7MlYl3XmlVjz9OpY32HHNsXGld+LBV86Ky568hMx7oNpg/G948CPfjgOiohNC2+I6Q+ui02x9bpvTb8yal/cOjVp08LJ8f4Tfx5Dxx4ce8X6WPWjB6Iue8bv46lfp3s6OvaKin0qsoJN958fn3zHP8V7xr8cHxj3jhi48dFYvvR3W2965Sex6Cdt62iJF2sXxw9bUvHvo/6uunjBDKmOgJ0jQIAAAQIECBAgQIAAAQI9JrDH/23v/qOsLus8gL8dPJUsUa17SIlVUH5kaFpqkO7aJoJRmbmmRqOFKf6IwN+VPwnQo6WWZv7IMDU1KttjmvEjUTzUKohaKKIgim6CyqolTrh2mmHPnWFwBubqPHoLhJfncGbufT6f5/k+rzv/+D7f73NXrVq1qmS2vr37ZPETS0pa1L4lBebnl4cfmJNnttylVLKFLvVX57fn/Ed6NDctz6Kp5+SCk27JHZXQZ4f61B/2mRz6+V3S7Y5jcuSRM7N4yNdzwYQvZ7/3zshFu4/O9/+09mrvSd8Lb8m0A3u1H2halLkXfjVHXPpoXhlyQk47eWTqG07N4IOmrHW3VZL3jM0lcw/IK6P27WBP+2XsXd/J2J6v8S1+7Vf2igABAgQIECBAgAABAgQIEHgdgbYZkgDqdbAMEyBAgAABAgQIECBAgAABAgQIlAu0DaA8glfup4MAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAjlMWM1AAARwElEQVQQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAgQIECgQEAAVYCllAABAgQIECBAgAABAgQIECBAoFxAAFVupoMAAQIECBAgQIAAAQIECBAgQKBAQABVgKWUAAECBAgQIECAAAECBAgQIECgXEAAVW6mgwABAgQIECBAgAABAgQIECBAoEBAAFWApZQAAQIECBAgQIAAAQIECBAgQKBcQABVbqaDAAECBAgQIECAAAECBAisH4GXZmf6yaMyceH/rZ/1N5pVl+eRX12Uq08ZlAGn35nlnd1X0+xMHjspU5f+tbMd6lYLCKD8KRAgQIAAAQIECBAgQIAAgbeAQNOya3LakMtz65BTMnrAO94CV7yhXmJDHp10cD495uKcc2Ono6eWzdTtnv2+0pCZB4zKCbOfTuOGusUN8LoEUBvgh+KSCBAgQIAAAQIECBAgQIBAO4GGW/KdT9+Yly69OJcM759/bjdY6xfP5J7xP8ucpk7M2zAlE69e+BYLYrql35F3ZtH0w7JTJ7bYvqRLur3/+Jz3y49ni7FnZsLDK9oPe1VVQABVlcYAAQIECBAgQIAAAQIECBDYEASeyX2XnZ+fj/hmxu/+7r/zBTWmYe65+eptKzuxTuW6zs3UVZ0o3chK6noeltMu/adMrb8qUxs6k9RtZABvYDsCqDeApoUAAQIECBAgQIAAAQIECPyjBJoWXpbxV+6aQ0fs/He+8ylpWnZdzj/913lhy81eZ3sr8/SM03LWZS+8Tt3GOtwl3XY9OKO3viITf/7oW+wOsPXzmQig1o+7VQkQIECAAAECBAgQIECAQCcEnsysa27KgoG7ZFDPt7Wrb1o6JTdePzpH9v1Cxi18NgunnZUzhvVN394fzSfOvyuPrn1jzkuzc/vlI/Kp3n3St/Jv+BkZN21hWiKkxjQ8PD7H7DM+NyxqTOaNT/12fdJ3/2s6eBRveRZeeWD2PXJmFmZllk/4RAb0Hpg9ftTmUbzXXKvdNtZ6sTyLph6Xoz7QJ30/MCpjpj6cpb+6PJNfbLOZpkWZO3l0S01lH811i1bvozLd8jYWlb0OzEe+dn3nDw5fe/7hZ2TinA7Oe6rbOXscsHWW33x37m1zeWttyMvVAgIofwoECBAgQIAAAQIECBAgQGBDFVgxKzNufDk99v9odmv7f/Arrsu4oaNz6hlTcuff/pLFd8zKvducnLN/80BmXdAjyy49Nd+c+dyru6qcITV8VM5vGJOLHl+SxY9Pz+S978lNx4zMFybNzwvpkm47jMuVsydkRNckO4/LDZW6m0dmUNt1m2fskQFH3ZrfTdozXdM1Pc6aloVPPJS7vjwgXSrjr7vWq5fV/rfK43/nZOS1H87Iex7L4gVX5Nw+03PxxGVpar0hq+mRzDztSxn9+31yxJzHsviJu/PzkfMz9dhRGXN7Zb+NWTHjxBx0zEN58Zx7s/iJJVn0u1HZ7dYzc/zEKXnk9YKipgdy04ijctHmY3LegiVZPP/6nL/jbbn2kK/m+Ll/bn+52SLv7d0rXefNyJRHfSvhWjjrvFznz2idCm8QIECAAAECBAgQIECAAAEC60Wg6elH89Df3r7u2t0Py8QFd2bSiG5J3pm+e++X+g90T9I1W+20c7bP/+TeO+an5Tvensn9l52by7Y8KeNP2iP9KklAXf/sftK4nLTj/2bx2efl4oW1ClDezFpP5d4bZyXDBmdQt8pFVg78HpMzzuyZuuZzphqz4o6zc8wvhua4M/bPoHdWarbKLocenRG9XsiLf1655lG4VzYfmMEDKh5JXc/dM2i7Lmmc9fvc95rnNVXm/3ZO7/vNfPeg97c87thtz+x/5L7ZKffnN7/8w2rP1o+jS7r963bZPr/Pbf/95Jq1W0f9bC8ggGrv4RUBAgQIECBAgAABAgQIENhABBrT8MfH81j+JX223bLl7qI3cmUrbstN1zyTLjv2Tp+2KUDlEbLP9kpqGaC8qbW2zPv6vyvLJ3wtX/zhnNWPEHZJ9/2OzYh3VS78qdx/+7zkkL0ztPurG6nrOTITf/dgbj1wm3RJl3Tf5/osXDwh9d1XpWHBT/KL88bnwvmNnZBrmf+vNxyePVofU+zdJ/33vS4PVu6tumlmblvR0S1UK/P8Y0/n+U6ssCmXvPqJbcoK9k6AAAECBAgQIECAAAECBDZKgaasuGd6bu7wS+1WP0JWOcepJucYNb7Jtbpl+0+OTH3/hzLnnM9n+Hb7p/7y2zPnpdWhz4pZuf3mhk59Sk1Lb8m1p+yRXS98Nsv2OjYn7Nj8cOBr9zY9lScffDld6q/OXU8saX58r/II35p/C8anvk3w9dqTGV1bQAC1tojXBAgQIECAAAECBAgQIEBgkxBofYQs694dVfP9d26tyt1M46dNyeRzP5m9uz6QOd86MvUHn5sblv11zRU1zn8iSzq6Eam5ouUw9aM+NjGTB1yVu686IWP36BHhxxq+9faLz2C90VuYAAECBAgQIECAAAECBAi8lkBraPNcljz5/Bs8Y6hu9TlFSfXgpmu23H7rbPlal9KpsdbrfZNrVc6nGnFprpw/PT89fXAGPPyTXDptSZq6bZe+23VJ5v0q19+39oHgrRf4VO798S9y58DRGf/lHVvOcWoder2fdb2y7U5bpPGGSzJxnQPHG7Ni7W/jWzNfrfzWTLhR/iKA2ig/VpsiQIAAAQIECBAgQIAAgY1BoG7rftmx65s7Y6huwBE5rnJY+byr872234yXljOmFmw+NJ8f1ueNnzHVBvrNrdWQRy75Wea03t1U1z+7jTovp4yoaz5j6bm63TJ05MB0zf2ZetYFmTjn6Tah3Mo89ZNb8+DfWh6ja3NJBb/2yoeH7Nwy/5dOyZipi/LC6u6mZdfluLsHZEjzWVStU7ae0fWhDN1z25r4tc68Mf4UQG2Mn6o9ESBAgAABAgQIECBAgMDGIdB9aA4YuVXHdy+tPrMoeTkvrGj9FrvGrFzxYioPrL16x9O22WvMSanvvzRzxpyZcQ+vqIym4ZFLct4356Xft07M6F5va/Fqvcuo+dWfcs/4NoFQO9FX73aqvL1Zw5RMvHphGlOwVrv5Wl502eLKjPnG9Zm6tOWRu6ZlM3Pb9G0y7LO7pEfenp6fOD4nfKxr8vANufaQPTJgzWHhQ3LM2z+YgZu33MW05i6ppkWZO+m6/PYvqxdr+mOmXDI3y/NKnnlwXh6rvP38n/NCc+jVJd33/lomDOuarJyRqcfum4+snr//PvPyoa/8W3q0u+aX8+wTT2XlDoMy+H2r/dqNe9FWQADVVsPvBAgQIECAAAECBAgQIEBggxLYKrvsPzQ7zZuRKY+2hkxJ08KzcsB2h2Zi87e73Z+pB+2ZPX70hyycNCS7HHRLFlb2MG986ncclxtWNKVyttK4q7+Xbx/6WG4avnP69u6bXc9fla0umJ6bm789bvWm6z6UYcfvlQGV3k9dlNmHDM+gKslBXb8vZOyIblk+4T8zeMIrGfa5fs13AXV6rQ6cG18+KpPGdM/yi/49fSvfQHfE4rzj8km5aPd3t1R3+3gO//5VueKofuna2r9DfeqvuCY/PnCb1DUHYOMy9mOPNJt85Bv35LlPXZAJowem68rf5LofLk2/0b2y4NTdstfJD6RyNnvjtBPy6dVOqftgPnvhVfnB1wdnwOr5uww5IWf+1/iMbQ3pWtdtejwLZj+fHgcNy7BuVZBaa/3MZqtWrVpV4lD5A6icAO8/AgQIECBAgAABAgQIECBA4B8h8Ezu+/ZBOXaz72TaKbuXnWv0j7i8TXKNxjTMPTF7H90742cdl+ECqA7/CtpmSCK6Dom8SYAAAQIECBAgQIAAAQIENhSBrbLrV07JwZNPy/EzlrY592hDub5N8Doafp0rjl6cQT84XPjUyY9fANVJKGUECBAgQIAAAQIECBAgQGC9CXT7TE689ejsckl9vnjjI2sOx15v17PJLtyYhoevyrmf+2mWXtbm0cBN1qPzGxdAdd5KJQECBAgQIECAAAECBAgQWG8CdT0/lxNvujJj/3BhLl346nlQ6+2CNsWFm2Zn8tnPpud3r8h3B2/tm+8K/gacAVWApZQAAQIECBAgQIAAAQIECBAgQKBzAs6A6pyTKgIECBAgQIAAAQIECBAgQIAAgRoIeASvBoimIECAAAECBAgQIECAAAECBAgQqC4ggKpuY4QAAQIECBAgQIAAAQIECBAgQKAGAgKoGiCaggABAgQIECBAgAABAgQIECBAoLqAAKq6jRECBAgQIECAAAECBAgQIECAAIEaCAigaoBoCgIECBAgQIAAAQIECBAgQIAAgeoCAqjqNkYIECBAgAABAgQIECBAgAABAgRqICCAqgGiKQgQIECAAAECBAgQIECAAAECBKoLCKCq2xghQIAAAQIECBAgQIAAAQIECBCogYAAqgaIpiBAgAABAgQIECBAgAABAgQIEKguIICqbmOEAAECBAgQIECAAAECBAgQIECgBgICqBogmoIAAQIECBAgQIAAAQIECBAgQKC6gACquo0RAgQIECBAgAABAgQIECBAgACBGggIoGqAaAoCBAgQIECAAAECBAgQIECAAIHqAgKo6jZGCBAgQIAAAQIECBAgQIAAAQIEaiAggKoBoikIECBAgAABAgQIECBAgAABAgSqCwigqtsYIUCAAAECBAgQIECAAAECBAgQqIGAAKoGiKYgQIAAAQIECBAgQIAAAQIECBCoLiCAqm5jhAABAgQIECBAgAABAgQIECBAoAYCAqgaIJqCAAECBAgQIECAAAECBAgQIECguoAAqrqNEQIECBAgQIAAAQIECBAgQIAAgRoICKBqgGgKAgQIECBAgAABAgQIECBAgACB6gICqOo2RggQIECAAAECBAgQIECAAAECBGogIICqAaIpCBAgQIAAAQIECBAgQIAAAQIEqgsIoKrbGCFAgAABAgQIECBAgAABAgQIEKiBgACqBoimIECAAAECBAgQIECAAAECBAgQqC4ggKpuY4QAAQIECBAgQIAAAQIECBAgQKAGAgKoGiCaggABAgQIECBAgAABAgQIECBAoLqAAKq6jRECBAgQIECAAAECBAgQIECAAIEaCAigaoBoCgIECBAgQIAAAQIECBAgQIAAgeoCAqjqNkYIECBAgAABAgQIECBAgAABAgRqICCAqgGiKQgQIECAAAECBAgQIECAAAECBKoLCKCq2xghQIAAAQIECBAgQIAAAQIECBCogYAAqgaIpiBAgAABAgQIECBAgAABAgQIEKguIICqbmOEAAECBAgQIECAAAECBAgQIECgBgICqBogmoIAAQIECBAgQIAAAQIECBAgQKC6gACquo0RAgQIECBAgAABAgQIECBAgACBGggIoGqAaAoCBAgQIECAAAECBAgQIECAAIHqAgKo6jZGCBAgQIAAAQIECBAgQIAAAQIEaiAggKoBoikIECBAgAABAgQIECBAgAABAgSqC2xefWjdkb69+zS/2fpz3QrvECBAgAABAgQIECBAgAABAgQIEGgvsNmqVatWtX/LKwIECBAgQIAAAQIECBAgQIAAAQK1E/AIXu0szUSAAAECBAgQIECAAAECBAgQINCBgACqAxRvESBAgAABAgQIECBAgAABAgQI1E5AAFU7SzMRIECAAAECBAgQIECAAAECBAh0ICCA6gDFWwQIECBAgAABAgQIECBAgAABArUTEEDVztJMBAgQIECAAAECBAgQIECAAAECHQgIoDpA8RYBAgQIECBAgAABAgQIECBAgEDtBARQtbM0EwECBAgQIECAAAECBAgQIECAQAcCAqgOULxFgAABAgQIECBAgAABAgQIECBQOwEBVO0szUSAAAECBAgQIECAAAECBAgQINCBwP8DnCUfjOVeMX4AAAAASUVORK5CYII=" alt></p>
<p>(i) Explain why the measurement of the star’s position was made during a total solar eclipse.</p>
<p>(ii) On the diagram above, draw lines to determine the apparent position of the star as seen from Earth. </p>
<p>(iii) State what other measurement must be made in order to determine the angle by which rays from the star are bent by the Sun.</p>
<p>(iv) The angle of bending of a light ray from the star that just grazes the Sun’s surface is <em>θ.</em> State and explain the effect, if any, on <em>θ</em> if the Sun were to be replaced by another star of equal radius but larger mass.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic kinematics.</p>
<p>In a thought experiment, a train is moving at a speed of 0.950c relative to the ground. A pendulum attached to the ceiling of the train is set into oscillation.</p>
<p><img 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" alt></p>
<p>An observer T on the train and an observer G on the ground measure the period of oscillation of the pendulum.</p>
</div>
<div class="question">
<p>Observer G sees a second train moving towards the first train (<em>i.e.</em> towards the left) at a speed of 0.950c with respect to the ground. Calculate the relative speed of the trains.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about general relativity.</p>
<p>A rocket is in outer space far from all masses. It moves along the dotted line according to an inertial observer located outside the rocket.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A ray of light is moving at right angles to the direction of the rocket according to the same inertial observer. The ray of light enters the rocket through a window W. Draw the path of the light ray according to an observer at rest inside the rocket,</p>
<p>(i) when the rocket is moving at constant speed <em>v</em>.</p>
<p><img 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" alt></p>
<p>(ii) when the rocket is moving at constant positive acceleration <em>a</em>.</p>
<p><img 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" alt></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The acceleration of the rocket in (a)(ii) is 12ms<sup>–2</sup>. A gamma ray is emitted from the base of the rocket. The frequency at the base is <em>f</em><sub>base</sub>= 3.4×10<sup>18</sup>Hz. A detector in the rocket is at a distance of 25m above the base. The frequency measured by the detector is <em>f</em><sub>detector</sub>. Determine the frequency shift <em>f</em><sub>detector</sub>–<em>f</em><sub>base</sub>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question">
<p>This question is about evidence that supports general relativity.</p>
<p>The astronomical photograph taken from Earth shows four separate images of a single distant quasar that appear to surround a galaxy. The galaxy is closer to Earth than the quasar.</p>
<p><img 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" alt></p>
<p>Outline how one image of the quasar is formed. You may draw on the diagram below that shows the arrangement of the Earth, the galaxy and the quasar to support your answer.</p>
<p><img 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" alt></p>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic energies.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the speed of an electron when its total energy is equal to five times its rest mass energy.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electron is accelerated from rest through a potential difference <em>V</em>. The graph shows how the speed <em>v</em> of the electron after acceleration varies with <em>V</em> assuming that Newtonian mechanics applies.</p>
<p><img 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7nnoxmNoXvP+f//v8/vvvJ3zvn93H+/8U/4hwABAgQIECBAgAABAgQIECBAgAABAgQIECCwDoEPrONalxIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE8gICBj8EAgQIECBAgAABAgQIECBAgAABAgQIECBAYN0CAoZ1k7mBAAECBAgQIECAAAECBAgQIECAAAECBAgQEDD4DRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLrFvjrd7qj/lfvvtMlvidAgAABAgQIECBAgAABAgQIECBAgAABAgSqUODan39/xao8wbAijS8IECBAgAABAgQIECBAgAABAgQIECBAgACBlQTu+ATD4o2rpRSL1/hfAgQIECBAgAABAgQIECBAgAABAgQIECBAIP0Ca3m7kScY0t9nFRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZILCBhKTm5DAgQIECBAgAABAgQIECBAgAABAgQIECCQfgEBQ/p7qAICBAgQIECAAAECBAgQIECAAAECBAgQIFByAQFDycltSIAAAQIECBAgQIAAAQIECBAgQIAAAQIE0i8gYEh/D1VAgAABAgQIECBAgAABAgQIECBAgAABAgRKLiBgKDm5DQkQIECAAAECBAgQIECAAAECBAgQIECAQPoFBAzp76EKCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAyQUEDCUntyEBAgQIECBAgAABAgQIECBAgAABAgQIEEi/gIAh/T1UAQECBAgQIECAAAECBAgQIECAAAECBAgQKLmAgKHk5DYkQIAAAQIECBAgQIAAAQIECBAgQIAAAQLpFxAwpL+HKiBAgAABAgQIECBAgAABAgQIECBAgAABAiUXEDCUnNyGBAgQIECAAAECBAgQIECAAAECBAgQIEAg/QIChvT3UAUECBAgQIAAAQIECBAgQIAAAQIECBAgQKDkAgKGkpPbkAABAgQIECBAgAABAgQIECBAgAABAgQIpF9AwJD+HqqAAAECBAgQIECAAAECBAgQIECAAAECBAiUXEDAUHJyGxIgQIAAAQIECBAgQIAAAQIECBAgQIAAgfQLCBjS30MVECBAgAABAgQIECBAgAABAgQIECBAgACBkgsIGEpObkMCBAgQIECAAAECBAgQIECAAAECBAgQIJB+AQFD+nuoAgIECBAgQIAAAQIECBAgQIAAAQIECBAgUHIBAUPJyW1IgAABAgQIECBAgAABAgQIECBAgAABAgTSLyBgSH8PVUCAAAECBAgQIECAAAECBAgQIECAAAECBEouIGAoObkNCRAgQIAAAQIECBAgQIAAAQIECBAgQIBA+gUEDOnvoQoIECBAgAABAgQIECBAgAABAgQIECBAgEDJBQQMJSe3IQECBAgQIECAAAECBAgQIECAAAECBAgQSL+AgCH9PVQBAQIECBAgQIAAAQIECBAgQIAAAQIECBAouYCAoeTkNiRAgAABAgQIECBAgAABAgQIECBAgAABAukXEDCkv4cqIECAAAECBAgQIECAAAECBAgQIECAAAECJRcQMJSc3IYECBAgQIAAAQIECBAgQIAAAQIECBAgQCD9AgKG9PdQBQQIECBAgAABAgQIECBAgAABAgQIECBAoOQCAoaSk9uQAAECBAgQIECAAAECBAgQIECAAAECBAikX0DAkP4eqoAAAQIECBAgQIAAAQIECBAgQIAAAQIECJRcQMBQcnIbEiBAgAABAgQIECBAgAABAgQIECBAgACB9AsIGNLfQxUQIECAAAECBAgQIECAAAECBAgQIECAAIGSCwgYSk5uQwIECBAgQIAAAQIECBAgQIAAAQIECBAgkH4BAUP6e6gCAgQIECBAgAABAgQIECBAgAABAgQIECBQcgEBQ8nJbUiAAAECBAgQIECAAAECBAgQIECAAAECBNIvIGBIfw9VQIAAAQIECBAgQIAAAQIECBAgQIAAAQIESi4gYCg5uQ0JECBAgAABAgQIECBAgAABAgQIECBAgED6BQQM6e+hCggQIECAAAECBAgQIECAAAECBAgQIECAQMkFBAwlJ7chAQIECBAgQIAAAQIECBAgQIAAAQIECBBIv4CAIf09VAEBAgQIECBAgAABAgQIECBAgAABAgQIECi5gICh5OQ2JECAAAECBAgQIECAAAECBAgQIECAAAEC6RcQMKS/hyogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIlFxAwlJzchgQIECBAgAABAgQIECBAgAABAgQIECBAIP0CAob091AFBAgQIECAAAECBAgQIECAAAECBAgQIECg5AIChpKT25AAAQIECBAgQIAAAQIECBAgQIAAAQIECKRfQMCQ/h6qgAABAgQIECBAgAABAgQIECBAgAABAgQIlFxAwFBychsSIECAAAECBAgQIECAAAECBAgQIECAAIH0CwgY0t9DFRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZILCBhKTm5DAgQIECBAgAABAgQIECBAgAABAgQIECCQfgEBw2Z6+P1noutX74765N/OZ+LP17LWj96M3/x7H3v3nl/dEb85/l/WcpdrCBAgQIAAAQIECBAgQIAAAQIECBAgQIBARQkIGDbTjl9uiI//D+8t8L2Z+P5/u9Ni/zWmn/pGvDqXXHhX1P6jI/GbrX/rTjet6/sf//jHkfzrHwIECBAgQIAAAQIECBAgQIAAAQIECBAgUEwBAcNmdO/6aDR87L2E4Sffj2t/sXrC8NNrp+Prz37v3R3v2h7/5OGm+PBm9l/m3iee+FZ84QuPLvONjwgQIECAAAECBAgQIECAAAECBAgQIECAQOEEBAybsvzFqP/4YkTwn2Lm+3+1ymo/iNeP/suYzmcQd8Uvf+qL8U/qFx9/WOW2dXz13e9+N7761a/GwMBAvPPOf1jHnS4lQIAAAQIECBAgQIAAAQIECBAgQIAAAQLrExAwrM/rlqs/GHdv/ZX3PvtR/Nm1//uW7xf/86fxo/En47GxH737Qe0/iH/x8N+Jv7b4dYH+98tf/q34wAc+kP/34Yc/U6BVLUOAAAECBAgQIECAAAECBAgQIECAAAECBG4XEDDcbrKOT+6Kj9bfHe8+h/CTuHr1P8eyL0n66dV47cmLMZdf+cPR+hufj50fLmy8MD4+Hq+//nr8Qi4XH/6FX4g/+ZM/jZMnT66jFpcSIECAAAECBAgQIECAAAECBAgQIECAAIG1CwgY1m617JV33d0QW9/75id/NhP/+barfhp/OfjN+MbUu4OX79r2v8Rvdv3SbVdt5oNkqPMXv/jF+Nt/+3+KD37wg/HBn//5aG5uiiNHvmzg82Zg3UuAAAECBAgQIECAAAECBAgQIECAAAECKwoIGFakWeMXv9wQH18cpfC9mfj+rY8w/Gg8fv/3337vyYaPxT/9rf1RX9iHF+LFF1/MP7HwjW98Iz7wcz+XP/jv/E5f/PCHP8zPZFhjJS4jQIAAAQIECBAgQIAAAQIECBAgQIAAAQJrFhAwrJlqhQvv+mg0fOy9hOEn349rf3FzwvCTuPbq8zE4l3x2V9T+oy/GZxp/foWFNvbxD37wg3j00S/Gnj17orW1dWmRe+75u/Hrv/6/xhNPfCuS4c/+IUCAAAECBAgQIECAAAECBAgQIECAAAEChRQQMGxa8xej/uMffm+V/xQz3/+rn634l6PR93t/9O7TC3ftiEf/WWssXvmzizb31z//5/8iv8DXvvbbty30yCOPxEc+8pFIhj/7hwABAgQIECBAgAABAgQIECBAgAABAgQIFFJAwLBpzQ/G3Vt/5b1VfhJ/Of9f3/v7v8Sl3/1WjOcfaPhQNH7pC7Hnbxb23UjvvPMfYmBgIL7yla/Er/3ar91WyS/90i/Fl770G/nhz4ODg7d97wMCBAgQIECAAAECBAgQIECAAAECBAgQILBRAQHDRuWW7rsrPlp/d7z7kqS/iu/N/F/x0xvf/fTaYPRf+D/evap2Vxz8h1ujsPFCxMMPfyb/hELyKqSV/unt7c0Pf/7qV79q4PNKSD4nQIAAAQIECBAgQIAAAQIECBAgQIAAgXULCBjWTXb7DXfd3RBb8x//t/h//vL/jf8vfhCvH/2XMZ1/euF/jH949JHY+eHCxgsnT57MD3b++te/Fh/60IduP9RNnyTDn//kT/40Pwz6po/9SYAAAQIECBAgQIAAAQIECBAgQIAAAQIENiwgYNgw3U03/nJDfHxxzvOfzcT/Of2v4omxH+UvuGvb/vh0y9+66eLN//njH/84jhz5cjQ3N0V3d/cdF0yGPydDoJNh0MlQaP8QIECAAAECBAgQIECAAAECBAgQIECAAIHNCggYNiuY3H/XR6PhY+8lDNen45k/OBt/kf/878UXf/9/jvrCPrwQyeuOfvjDH8bv/E7fmk//xBN/kL/213/9f1vzPS4kQIAAAQIECBAgQIAAAQIECBAgQIAAAQIrCQgYVpJZ1+e/GPUf//C7d/zFG/HqRPL0wl1Ru/efxj+ofy94WNd6K1/83e9+N5544luRzF24556/u/KFt3yTDHxOhkG//vrrkQyH9g8BAgQIECBAgAABAgQIECBAgAABAgQIENiMgIBhM3pL934w7t76K0v/lf/jrh3x6D9rjfdih/d/t4n/+vKXfys/2PmRRx5Z9ypJKPGRj3wkPxx63Te7gQABAgQIECBAgAABAgQIECBAgAABAgQI3CQgYLgJY+N/3hUfrb87fvaswoei8UtfiD1/s7DvRhocHMw/gfClL/1GJE8krPefZBj0sWPfyg98Pnbs2Hpvdz0BAgQIECBAgAABAgQIECBAgAABAgQIEFgS+Ln/fuOfpf9a5o/6X707/+m1P//+Mt/6qFQCyWDnlpaW/HZTU1MrbruWft17773x3e9+L/7jf/zTSEIH/xAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZsF1vL/NXuC4WaxCv77xRdfzD958I1vfGPTp0yGQydDopNh0f4hQIAAAQIECBAgQIAAAQIECBAgQIAAAQIbERAwbEStxPf84Ac/iEcf/WLs2bMnWltbN717Mhw6mceQDIs28HnTnBYgQIAAAQIECBAgQIAAAQIECBAgQIBAJgUEDClo++OPP54/5RNP/EHBTvuVr3wlP/D5937v9wq2poUIECBAgAABAgQIECBAgAABAgQIECBQCQKXJy/Hy2dfjoWFhUo4TtWe4a9XbWVVVNjf+Bsfjsce+8aGBjuvxJDMXvj6178Wf/zHf7zSJT4nQIAAAQIECBAgQIAAAQIECBAgQIBAKgTm5uZi4u2J+M6//6MYvDC4dOaWHS2Ry+WW/tsfhRUw5LmwnmVfbS2DN8p+SAcgQIAAAQIECBAgQIAAAQIECBAgQIDAJgWSpxTeeeedeGN0JGavzeZXq6uvi7//95uita0tGrc1Chc2YbyW/6/ZEwybAHYrAQIECBAgQIAAAQIECBAgQIAAAQIECJRGYKWnFHbemFv7qU9/JrZv3x4NWxtKcxi75AUEDH4IBAgQIECAAAECBAgQIECAAAECBAgQIFCRAtPT03Fp/NJtTyl09/R4SqECOiZgqIAmOAIBAgQIECBAgAABAgQIECBAgAABAgQIRCRPKUxdmYqxt96MiYmJmL8+n2fZtn1bHDpyOHbs2OkphQr6oQgYKqgZjkKAAAECBAgQIECAAAECBAgQIECAAIGsCcxcnYm3374U//u//tf5cCGpv2ZLTeze3Rn3fOIT0dzSbJZChf4oBAwV2hjHIkCAAAECBAgQIECAAAECBAgQIECAQDUKLCwsxPTUdIyPjcXw8ND7nlI42NsbO1t3RmNjYzWWXnU1CRiqrqUKIkCAAAECBAgQIECAAAECBAgQIECAQGUJLA5ofvPb374xU2F86XBde7ui7d77InkFUm1t7dLn/kiHgIAhHX1ySgIECBAgQIAAAQIECBAgQIAAAQIECKRK4E4Dmpuam1JVj8PeLiBguN3EJwQIECBAgAABAgQIECBAgAABAgQIECCwToHk1UeTE5PLDmg+2tcX27dvN6B5naaVfrmAodI75HwECBAgQIAAAQIECBAgQIAAAQIECBCoUIFkQPOVK1fitVdfMaC5QntUzGMJGIqpa20CBAgQIECAAAECBAgQIECAAAECBAhUmcDlycvxzjvvxBujIzF7bTZfXV19XRjQXGWNXkM5AoY1ILmEAAECBAgQIECAAAECBAgQIECAAAECWRVY6dVHO1tb41Of/ky07GgxoDmjPw4BQ0Ybr2wCBAgQIECAAAECBAgQIECAAAECBAisJODVRyvJ+PxmAQHDzRr+JkCAAAECBAgQIECAAAECBAgQIECAQEYFvPooo43fRNkChk3guZUAAQIECBAgQIAAAQIECBAgQIAAAQJpFfDqo7R2rnLOLWConF44CQECBAgQIECAAAECBAgQIECAAAECBIoq4NVHReXN3OIChsy1XMEECBAgQIAAAQIECBAgQIAAAQIECGRJwKuPstTt0tYqYCitt90IECBAgAABAgQIECBAgAABAgQIECBQVIHFVx+9853vxPDwUMxfn8/vt7O1NT716c9Ey46WqK2tLeoZLJ4NAQFDNvqsSgIECBAgQIAAAQIECBAgQIAAAQIEqlhgbm4uJt6eiDe//e24ND6er7RmS020tLRE2733RXNLc+RyuSoWUFo5BAQM5VC3JwECBAgQIECAAAECBAgQIECAAAECBDYpkMxTGBoain/3b/9NTF2Zyq9WV18XB3t745577omm5qZN7uB2AqsLCBhW9/EtAQIECBAgQIAAAQIECBAgQIAAAQIEKkYgmacwPjb2vlcfbdu+LQ4dORw7duyMhq0NFXNWB6l+AQFD9fdYhQQIECBAgAABAgQIECBAgAABAgQIpFRgcZ7C2FtvxuCFwaUquvZ25V99lIQL5ikssfijxAIChhKD244AAQIECBAgQIAAAQIECBAgQIAAAQKrCSzOU3jt1VeWXn2UzFPo7umJ1ra2aNzWaJ7CaoC+K5mAgKFk1DYiQIAAAQIECBAgQIAAAQIECBAgQIDA8gKL8xTeGB2J2Wuz+YsW5ynsbN0ZjY2Ny9/oUwJlFBAwlBHf1gQIECBAgAABAgQIECBAgAABAgQIZFdgpXkKR/v6Yvv27eYpZPenkZrKBQypaZWDEiBAgAABAgQIECBAgAABAgQIECCQZgHzFNLcPWdfTkDAsJyKzwgQIECAAAECBAgQIECAAAECBAgQIFAAAfMUCoBoiYoVEDBUbGscjAABAgQIECBAgAABAgQIECBAgACBNAqYp5DGrjnzRgQEDBtRcw8BAgQIECBAgAABAgQIECBAgAABAgRuElicp/CHf3h5aUjztu3bwjyFm5D8WXUCAoaqa6mCCBAgQIAAAQIECBAgQIAAAQIECBAotsDN8xQmJiZi/vp8fsuuvV3xqU9/Jlp2tERtbW2xj2F9AmUVEDCUld/mBAgQIECAAAECBAgQIECAAAECBAikRWBxnsJ3/v0fxeCFwfyxa7bUxO7dnXHPJz4RzS3Nkcvl0lKOcxLYtICAYdOEFiBAgAABAgQIECBAgAABAgQIECBAoFoFknkKV65ciddefSWmrkzly6yrr4vunp5obWuLpuamai1dXQTuKCBguCORCwgQIECAAAECBAgQIECAAAECBAgQyJLAakOaOzs7o2FrQ5Y41EpgRQEBw4o0viBAgAABAgQIECBAgAABAgQIECBAICsCi0Oah4eHluYpLA5pNk8hK78Cda5XQMCwXjHXEyBAgAABAgQIECBAgAABAgQIECCQeoHFIc3vfOc7cXOokAxpbrv3vkjCBUOaU99mBRRZQMBQZGDLEyBAgAABAgQIECBAgAABAgQIECBQGQLJkOZkjsLYW28a0lwZLXGKlAsIGFLeQMcnQIAAAQIECBAgQIAAAQIECBAgQGBlgSRUmHh74n1Dmmu21BjSvDKZbwisWUDAsGYqFxIgQIAAAQIECBAgQIAAAQIECBAgkAaBxSHN/+7f/pv8EwvJmevq6+Jgb28Y0pyGDjpjWgQEDGnplHMSIECAAAECBAgQIECAAAECBAgQILCiwPT0dFwavxRvjI7E7LXZ/HWLQ5q3b98eDVsbVrzXFwQIbExAwLAxN3cRIECAAAECBAgQIECAAAECBAgQIFBmgcuTl2N8bOx9Q5p3trbGpz79mWjZ0WJIc5n7Y/vqFxAwVH+PVUiAAAECBAgQIECAAAECBAgQIECgKgQWFhZicmIyP6R5YmIi5q/P5+vq2tsVbffeF80tzZHL5aqiVkUQSIOAgCENXXJGAgQIECBAgAABAgQIECBAgAABAhkVuDlUGLwwmFdIhjTv3t0Z93ziE0KFjP4ulF0ZAgKGyuiDUxAgQIAAAQIECBAgQIAAAQIECBAg8J7A3NxcTLw9Ea+9+srSkOYkVOju6YnWtrZoam5iRYBABQgIGCqgCY5AgAABAgQIECBAgAABAgQIECBAIOsCM1dn4sqVK+8LFerq6+Jgb290dnYa0pz1H4j6K1JAwFCRbXEoAgQIECBAgAABAgQIECBAgAABAtUvkIQKQ0ND8cboSMxem80XLFSo/r6rsHoEBAzV00uVECBAgAABAgQIECBAgAABAgQIEKh4genp6bg0ful9ocK27dviaF9ftOxoidra2oqvwQEJEHhXQMDgl0CAAAECBAgQIECAAAECBAgQIECAQFEFLk9ejvGxsRgeHor56/P5vXa2tsanPv0ZoUJR5S1OoLgCAobi+lqdAAECBAgQIECAAAECBAgQIECAQCYFlgsVuvZ2Rdu990VzS3PkcrlMuiiaQDUJCBiqqZtqIUCAAAECBAgQIECAAAECBAgQIFAmgYWFhZicmIyxt96MwQuDS6cQKixR+INA1QkIGKqupQoiQIAAAQIECBAgQIAAAQIECBAgUBqB5UKFmi010d3TE61tbdHU3FSag9iFAIGyCAgYysJuUwIECBAgQIAAAQIECBAgQIAAAQLpFJibm4uJtyfizW9/+8aw5vF8EUKFdPbSqQlsVkDAsFlB9xMgQIAAAQIECBAgQIAAAQIECBCocoHFUOG1V1+JqStT+Wrr6uviYG9v7GzdGY2NjVUuoDwCBJYTEDAsp+IzAgQIECBAgAABAgQIECBAgAABAhkXWC1U6OzsjIatDRkXUj4BAgIGvwECBAgQIECAAAECBAgQIECAAAECBPICM1dnYmhoKN4YHYnZa7P5z7Zt35Z/UkGo4EdCgMCtAgKGW0X8NwECBAgQIECAAAECBAgQIECAAIEMCawUKhzt64uWHS1RW1ubIQ2lEiCwHgEBw3q0XEuAAAECBAgQIECAAAECBAgQIECgCgSEClXQRCUQqAABAUMFNMERCBAgQIAAAQIECBAgQIAAAQIECBRb4PLk5RgfG4s//MPL73v9kScVii1vfQLVKyBgqN7eqowAAQIECBAgQIAAAQIECBAgQCDjAouhwvDwUMxfn89rdO3tike+8Gg0tzRHLpfLuJDyCRDYjICAYTN67iVAgAABAgQIECBAgAABAgQIECBQYQIrhQpt994nVKiwXjkOgbQLCBjS3kHnJ0CAAAECBAgQIECAAAECBAgQyLyAUCHzPwEABMoiIGAoC7tNCRAgQIAAAQIECBAgQIAAAQIECGxcYGFhISYnJuOd73wnFl9/VLOlJlpaWsKTCht3dScBAusTEDCsz8vVBAgQIECAAAECBAgQIECAAAECBMoisBgqjL31ZgxeGMyfIQkVdu/ujNa2tmhqbirLuWxKgEB2BQQM2e29ygkQIECAAAECBAgQIECAAAECBCpcYKVQobunR6hQ4b1zPAJZEBAwZKHLaiRAgAABAgQIECBAgAABAgQIEEiNgFAhNa1yUAKZFxAwZP4nAIAAAQIECBAgQIAAAQIECBAgQKDcAkKFcnfA/gQIbERAwLARNfcQIECAAAECBAgQIECAAAECBAgQ2KSAUGGTgG4nQKDsAgKGsrfAAQgQIECAAAECBAgQIECAAAECBLIiIFTISqfVSSAbAgKGbPRZlQQIECBAgAABAgQIECBAgAABAmUSWC5UqKuvi4O9vbGzdWc0NjaW6WS2JUCAwOYEBAyb83M3AQIECBAgQIAAAQIECBAgQIAAgdsE5ubmYurKVIy99WYMXhjMf78YKnR2dkbD1obb7vEBAQIE0iYgYEhbx5yXAAECBAgQIECAAAECBAgQIECgIgWSUGHi7Yl47dVX8uFCckihQkW2yqEIECiQgIChQJCWIUCAAAECBAgQIECAAAECBAgQyJ6AUCF7PVcxAQI/ExAw/MzCXwQIECBAgAABAgQIECBAgAABAgTuKCBUuCORCwgQyIiAgCEjjVYmAQIECBAgQIAAAQIECBAgQIDAxgWEChu3cycBAtUrIGCo3t6qjAABAgQIECBAgAABAgQIECBAYBMCCwsLMTkxGS88/5yZCptwdCsBAtUrIGCo3t6qjAABAgQIECBAgAABAgQIECBAYJ0Ci6HC2FtvxuCFwfzdBjWvE9HlBAhkRkDAkJlWK5QAAQIECBAgQIAAAQIECBAgQGA5AaHCcio+I0CAwJ0FBAx3NnIFAQIECBAgQIAAAQIECBAgQIBAlQkIFaqsocohQKAsAgKGsrDblAABAgQIECBAgAABAgQIECBAoNQCy4UKNVtq4mBvb3R2dkbD1oZSH8l+BAgQSLWAgCHV7XN4AgQIECBAgAABAgQIECBAgACB1QRWChW6e3qita0tmpqbVrvddwQIECCwioCAYRUcXxEgQIAAAQIECBAgQIAAAQIECKRPQKiQvp45MQEC6RQQMKSzb05NgAABAgQIECBAgAABAgQIECBwk4BQ4SYMfxIgQKBEAgKGEkHbhgABAgQIECBAgAABAgQIECBAoPACoyOjMfbWmzF4YTC/eDJTweuPCu9sRQIECCwnIGBYTsVnBAgQIECAAAECBAgQIECAAAECFStwefJyjI+NxfDwUMxfnw+hQsW2ysEIEKhyAQFDlTdYeQQIECBAgAABAgQIECBAgACBahBYLlTYvbvToOZqaK4aCBBIrYCAIbWtc3ACBAgQIECAAAECBAgQIECAQHUL3BoqJNV27e2Ktnvvi/aO9uouXnUECBBIgYCAIQVNckQCBAgQIECAAAECBAgQIECAQFYEVgsVmluaI5fLZYVCnQQIEKh4AQFDxbfIAQkQIECAAAECBAgQIECAAAEC1S0wc3UmhoaG4o3RkZi9NpsvdvFJBaFCdfdedQQIpFtAwJDu/jk9AQIECBAgQIAAAQIECBAgQCCVAiuFCo984dEQKqSypQ5NgEAGBQQMGWy6kgkQIECAAAECBAgQIECAAAEC5RBYLlTYtn1bHO3ri45dHV5/VI6m2JMAAQKbEBAwbALPrQQIECBAgAABAgQIECBAgAABAqsLzM3NxcXh4Xj57Nml1x8thgotO1qitrZ29QV8S4AAAQIVKyBgqNjWOBgBAgQIECBAgAABAgQIECBAIJ0CSagw8fZEvPbqKzF1ZSpfhFAhnb10agIECKwmIGBYTcd3BAgQIECAAAECBAgQIECAAAECaxJYLlSoq6+LQ0cOx67duz2psCZFFxEgQCBdAgKGdPXLaQkQIECAAAECBAgQIECAAAECFSOwsLAQkxOTcf7cubg0Pp4/VxIqHOztjc7OzmjY2lAxZ3UQAgQIECi8gICh8KZWJECAAAECBAgQIECAAAECBAhUrcBiqDD21psxeGEwX6dQoWrbrTACBAisKiBgWJXHlwQIECBAgAABAgQIECBAgAABAonA6Mho3Bwq1Gypie6enujs2hONjY2QCBAgQCCDAgKGDDZdyQQIECBAgAABAgQIECBAgACBtQhcnrwc42NjMTw8FPPX52MxVGhta4um5qa1LOEaAgQIEKhiAQFDFTdXaQQIECBAgAABAgQIECBAgACB9QrcGiok9ydPKggV1ivpegIECFS/gICh+nusQgIECBAgQIAAAQIECBAgQIDAqgIzV2diaGgo3hgdidlrs/lru/Z2Rdu990VzS3PkcrlV7/clAQIECGRTQMCQzb6rmgABAgQIECBAgAABAgQIEMi4wEqhwiNfeFSokPHfhvIJECCwVgEBw1qlXEeAAAECBAgQIECAAAECBAgQSLnA3NxcTLw9Ec8+8/TSkwrbtm+Lo3190bKjJWpra1NeoeMTIECAQCkFBAyl1LYXAQIECBAgQIAAAQIECBAgQKDEAouhwmuvvhJTV6byuwsVStwE2xEgQKBKBQQMVdpYZREgQIAAAQIECBAgQIAAAQLZFVhYWIjJick4f+5cXBofz0PU1dfFwd7e6OzsjIatDdnFUTkBAgQIFExAwFAwSgsRIECAAAECBAgQIECAAAECBMonsBgqjL31ZgxeGMwfRKhQvn7YmQABAlkQEDBkoctqJECAAAECBAgQIECAAAECBKpW4PLk5RgfG4vh4aGYvz4fNVtqorunJ1rb2qKpualq61YYAQIECJRfQMBQ/h44AQECBAgQIECAAAECBAgQIEBgXQLT09MxNPj6UqiQ3CxUWBehiwkQIECgAAIChgIgWoIAAQIECBAgQIAAAQIECBAgUGyBmaszMTQ0FG+MjsTstdn8dl17u6Lt3vuiuaU5crlcsY9gfQIECBAg8D4BAcP7OPwHAQIECBAgQIAAAQIECBAgQKByBObm5uLi8HC8fPbsUqiwbfu2ONbfL1SonDY5CQECBDIrIGDIbOsVToAAAQIECBAgQIAAAQIECFSiQBIqTLw9Ea+9+kpMXZnKHzEJFY729UXLjpaora2txGM7EwECBAhkUEDAkMGmK5kAAQIECBAgQIAAAQIECBCoLIGFhYWYnJiMsbfejMELg/nD1dXXxcHe3ti3f59QobLa5TQECBAg8J6AgMFPgQABAgQIECBAgAABAgQIECBQJoHLk5dvBArnl0KFmi01+VChs7MzGrY2lOlUtiVAgAABAmsTEDCszclVBAgQIECAAAECBAgQIECAAIGCCCShwvjYWAwPD8X89flIQoXunp5obWuLpuamguxhEQIECBAgUAoBAUMplO1BgAABAgQIECBAgAABAgQIZFpg5upMDA0NxRujI0vDmrv2dkXbvfdFe0d7pm0UT4AAAQLpFRAwpLd3Tk6AAAECBAgQIECAAAECBAhUsEAyrPni8HC8fPbsUqiws7U1HvnCo9Hc0hy5XK6CT+9oBAgQIEDgzgIChjsbuYIAAQIECBAgQIAAAQIECBAgsCaBZFjzyMWReO3VV2LqylT+nm3bt8XRvr5o2dFiWPOaFF1EgAABAmkREDCkpVPOSYAAAQIECBAgQIAAAQIECFSkQBIqTE5Mxthbby4Na66rrzOsuSK75VAECBAgUEgBAUMhNa1FgAABAgQIECBAgAABAgQIZEZgcVjzyYGBfM2Lw5r3HzgQDVsbMuOgUAIECBDIroCAIbu9VzkBAgQIECBAgAABAgQIECCwToFkWPPpU6dieHgo5q/P5+/u7umJ1ra2aGpuWudqLidAgAABAukWEDCku39OT4AAAQIECBAgQIAAAQIECBRZIBnWfOb0mXhjdGRpWHPX3q5ou/c+w5qLbG95AgQIEKhsAQFDZffH6QgQIECAAAECBAgQIECAAIEyCCShwsTbE4Y1l8HelgQIECCQHgEBQ3p65aQECBAgQIAAAQIECBAgQIBAEQVWG9a8b/++qK2tLeLuliZAgAABAukTEDCkr2dOTIAAAQIECBAgQIAAAQIECBRQwLDmAmJaigABAgQyJSBgyFS7FUuAAAECBAgQIECAAAECBAgkAsmw5qGhoRuzFU4Z1uwnQYAAAQIENiggYNggnNsIECBAgAABAgQIECBAgACBdAkkcxUuDg/Hy2fPGtacrtY5LQECBAhUqICAoUIb41gECBAgQIAAAQIECBAgQIDA5gUW5yq88PxzMXVlKr/gtu3b4mhfX7TsaDFXYfPEViBAgACBDAsIGDLcfKUTIECAAAECBAgQIECAAIFqFRgdGY2xt96MwQuD+RLr6uviYG9vdHZ2RsPWhmotW10ECBAgQKCkAgKGknLbjAABAgQIECBAgAABAgQIECiWwPT0dAwNvh7Dw0P5uQo1W2qiu6cnOrv2RGNjY7G2tS4BAgQIEMisgIAhs61XOAECBAgQIECAAAECBAgQSL9AMlfhzOkz8cboyG1zFdo72tNfoAoIECBAgEAFCwgYKrg5jkaAAAECBAgQIECAAAECBAjcLpCEChNvT8Rrr77yvrkKx/r7o7mlOXK53O03+YQAAQIECBAouICAoeCkFiRAgAABAgQIECBAgAABAgQKLbA4rPnWuQqHjhyOXbt3G9ZcaHDrESBAgACBNQgIGNaA5BICBAgQIECAAAECBAgQIECgPAKXJy/H+NjYbXMV9h84YFhzeVpiVwIECBAgsCQgYFii8AcBAgQIECBAgAABAgQIECBQCQIzV2diaGjotrkKXXvvj6bmpko4ojMQIECAAAECNwQEDH4GBAgQIECAAAECBAgQIECAQNkFzFUoewscgAABAgQIrFtAwLBuMjcQIECAAAECBAgQIECAAAEChRIYHRkNcxUKpWkdAgQIECBQWgEBQ2m97UaAAAECBAgQIECAAAECBDIvMD09HUODr5urkPlfAgACBAgQSLuAgCHtHXR+AgQIECBAgAABAgQIECCQAoHkFUhnTp8xVyEFvXJEAgQIECCwVgEBw1qlXEeAAAECBAgQIECAAAECBAisS2BhYSFGLo7Ea6++ElNXpvL3btu+LY7190dzS3Pkcrl1rediAgQIECBAoLIEBAyV1Q+nIUCAAAECBAgQIECAAAECqRe4PHk5Bi+cv/HvYL6Wuvq6ONjbG/v274va2trU16cAAgQIECBA4F0BAYNfAgECBAgQIECAAAECBAgQILBpgZmrM3H61Knb5ip0du2JxsbGTa9vAQIECBAgQKDyBAQMldcTJyJAgAABAgQIECBAgAABAqkQSOYqTLw9Ec8+83TMXpvNn7lrb1e03XtftHe0p6IGhyRAgAABAgQ2LiBg2LidOwkQIECAAAECBAgQIECAQOYEkrkKkxOTcf7cubg0Pp6vP5mrcLSvL1p2tHgFUuZ+EQomQIAAgSwLCBiy3H21EyBAgAABAgQIECBAgACBNQokcxXGx8be9wqkZK5CZ2dnNGxtWOMqLiNAgAABAgSqSUDAUE3dVAsBAgQIECBAgAABAgQIECigQPIKpDOnz8QboyNLr0Dq7umJ1ra2aGpuKuBOliJAgAABAgTSKCBgSGPXnJkAAQIECBAgQIAAAQIECBRJIHkF0sjFkXjt1Vdi6spUfpfkFUjH+vujuaU5crlckXa2LAECBAgQIJA2AQFD2jrmvAQIECBAgAABAgQIECBAoAgCySuQBi+cv/HvYH71uvq6SF6BtG//PnMViuBtSQIECBAgUA0CAoZq6KIaCBAgQIAAAQIECBAgQIDABgRmrs7E0NDQjdcgnYr56/NRs6UmklcgdXbticbGxg2s6BYCBAgQIEAgSwIChix1W60ECBAgQIAAAQIECBAgkHmBZK7CxNsT73sF0s7W1rj/gQe8Ainzvw4ABAgQIEBgfQIChvV5uZoAAQIECBAgQIAAAQIECKRSYHRkNMbeevN9r0A62tcXLTtavAIplR11aAIECBAgUH4BAUP5e+AEBAgQIECAAAECBAgQIECgKALJK5BOnzoVw8ND73sF0v4DB6Jha0NR9rQoAQIECBAgkB0BAUN2eq1SAgQIECBAgAABAgQIEMiAwOIrkJ595umYvTabr7hrb1e03XtftHe0Z0BAiQQIECBAgECpBAQMpZK2DwECBAgQIECAAAECBAgQKKKAVyAVEdfSBAgQIECAwLICAoZlWXxIgAABAgQIECBAgAABAgQqX8ArkCq/R05IgAABAgSqWUDAUM3dVRsBAgQIECBAgAABAgQIVJ2AVyBVXUsVRIAAAQIEUisgYEht6xycAAECBAgQIECAAAECBLIk4BVIWeq2WgkQIECAQDoEBAzp6JNTEiBAgAABAgQIECBAgEAGBbwCKYNNVzIBAgQIEEiRgIAhRc1yVAIECBAgQIAAAQIECBCofgGvQKr+HquQAAECBAhUi4CAoVo6qQ4CBAgQIECAAAECBAgQSLWAVyClun0OT4AAAQIEMikgYMhk2xVNgAABAgQIECBAgAABApUgkLwCaWhoKM6cPhXz1+ejZktNdPf0xP4DB6Jha0MlHNEZCBAgQIAAAQIrCggYVqTxBQECBAgQIECAAAECBAgQKLzAwsJCjFwciddefSWmrkzlN+ja2xVt994X7R3thd/QigQIECBAgACBIgkIGIoEa1kCBAgQIECAAAECBAgQIHCzwOXJyzF44fyNfwfzH9fV18WhI4dj1+7dUVtbe/Ol/iZAgAABAgQIpEJAwJCKNjkkAQIECBAgQIAAAQIECKRRIBnYfOb0mdtegdTZtScaGxvTWJIzEyBAgAABAgSWBAQMSxT+IECAAAECBAgQIECAAAECmxdIXoE0OTEZLzz/3NIrkHa2tsb9DzwQzS3NkcvlNr+JFQgQIECAAAECFSAgYKiAJjgCAQIECBAgQIAAAQIECKRfYHp6OoYGX4+TAwP5YpJXIB3s7Y19+/d5BVL626sCAgQIECBAYBkBAcMyKD4iQIAAAQIECBAgQIAAAQJrEUhegXRxeDhePns2Zq/N5m/p7umJ1ra2aGpuWssSriFAgAABAgQIpFZAwJDa1jk4AQIECBAgQIAAAQIECJRLYHRkNM6fOxeXxsfzR9i2fVsc7euLjl0dXoFUrqbYlwABAgQIECi5gICh5OQ2JECAAAECBAgQIECAAIE0CsxcnYnTp07F8PBQzF+fj5otNflXIHV2dkbD1oY0luTMBAgQIECAAIFNCQgYNsXnZgIECBAgQIAAAQIECBCoZoFkYPPIxZF47dVXlgY2d+3tirZ774v2jvZqLl1tBAgQIECAAIE7CggY7kjkAgIECBAgQIAAAQIECBDImsDlycsxPjb2voHNh44cjl27dxvYnLUfg3oJECBAgACBFQUEDCvS+IIAAQIECBAgQIAAAQIEsiSQDGw+c/pMvDE6kh/YnLwCKRnY3Nm1JxobG7NEoVYCBAgQIECAwJoEBAxrYnIRAQIECBAgQIAAAQIECFSjQPIKpMmJydsGNh/r74/mlmYDm6ux6WoiQIAAAQIECiYgYCgYpYUIECBAgAABAgQIECBAIC0CKw1s3rd/n1cgpaWJzkmAAAECBAiUXUDAUPYWOAABAgQIECBAgAABAgQIlEJgpYHNXXvvj6bmplIcwR4ECBAgQIAAgaoSEDBUVTsVQ4AAAQIECBAgQIAAAQK3Ciw3sPloX1+07GjxtMKtWP6bAAECBAgQILAOAQHDOrBcSoAAAQIECBAgQIAAAQLpEEgGNl8cHo6Xz57ND2xOTm1gczp655QECBAgQIBAegQEDOnplZMSIECAAAECBAgQIECAwB0ERkdGDWy+g5GvCRAgQIAAAQKFEhAwFErSOgQIECBAgAABAgQIECBQFoFkYPPQ0FCcOX0q5q/PR82WmjjY2xudnZ3RsLWhLGeyKQECBAgQIEAgCwIChix0WY0ECBAgQIAAAQIECBCoMoFkYPPkxGS88PxzMXVlKl/dztbWuP+BB6K9o73KqlUOAQIECBAgQKAyBQQMldkXpyJAgAABAgQIECBAgACBZQSmp6djaPD1GB4eyj+tUFdfF4eOHI5du3cb2LyMl48IECBAgAABAsUUEDAUU9faBAgQIECAAAECBAgQILBpgeRphZGLI/HsM08vDWzu2tsVXXvvj6bmpk2vbwECBAgQIECAAIGNCQgYNubmLgIECBAgQIAAAQIECBAossDlycsxPjYWJwcG8jslTysc7euLjl0dkcvliry75QkQIECAAAECBO4kIGC4k5DvCRAgQIAAAQIECBAgQKBkAnNzc3FxeDhePnt26WmF7p6e6OzaE42NjSU7h40IECBAgAABAgTuLCBguLORKwgQIECAAAECBAgQIECgyALJ0wqDF87f+Hcwv9O27dviWH9/NLc0e1qhyPaWJ0CAAAECBAhsVEDAsFE59xEgQIAAAQIECBAgQIDApgSSpxXOnD5z499T+YHNNVtqInlaYf+BA9GwtWFTa7uZAAECBAgQIECg+AIChuIb24EAAQIECBAgQIAAAQIEbhIYHRmN8+fOxaXx8fynO1tb4/4HHvC0wk1G/iRAgAABAgQIpEFAwJCGLjkjAQIECBAgQIAAAQIEUi4wc3UmhoaG3ve0wsHe3ti3f1/U1tamvDrHJ0CAAAECBAhkU0DAkM2+q5oAAQIECBAgQIAAAQJFF1hYWIjJicl44fnnYurKVH6/xacV2jvai76/DQgQIECAAAECBIorIGAorq/VCRAgQIAAAQIECBAgkDmB5GmF06dOxfDwUH62Ql19XRw6cjh27d7taYXM/RoUTIAAAQIECFSzgIChmrurNgIECBAgQIAAAQIECJRIYLmnFbr2dkXX3vujqbmpRKewDQECBAgQIECAQCkFBAyl1LYXAQIECBAgQIAAAQIEqkzA0wpV1lDlECBAgAABAgTWISBgWAeWSwkQIECAAAECBAgQIEAgInlaYeTiSDz7zNMxe202T+JpBb8MAgQIECBAgED2BAQM2eu5igkQIECAAAECBAgQILAhgenp6RgafD1ODgzk709mKxzt64uOXR2Ry+U2tKabCBAgQIAAAQIE0isgYEhv75ycAAECBAgQIECAAAECRRdY7mmF7p6e6OzaE42NjUXf3wYECBAgQIAAAQKVKyBgqNzeOBkBAgQIECBAgAABAgTKJuBphbLR25gAAQIECBAgkBoBAUNqWuWgBAgQIECAAAECBAgQKK6ApxWK62t1AgQIECBAgEC1CQgYqq2j6iFAgAABAgQIECBAgMA6BTytsE4wlxMgQIAAAQIECOQFBAx+CAQIECBAgAABAgQIEMiggKcVMth0JRMgQIAAAQIECiwgYCgwqOUIECBAgAABAgQIECBQyQKeVqjk7jgbAQIECBAgQCBdAgKGdPXLaQkQIECAAAECBAgQILBuAU8rrJvMDQQIECBAgAABAmsQEDCsAcklBAgQIECAAAECBAgQSKOApxXS2DVnJkCAAAECBAikR0DAkJ5eOSkBAgQIECBAgAABAgTuKOBphTsSuYAAAQIECBAgQKBAAgKGAkFahgABAgQIECBAgAABAuUUmLk6E6dPnYqTAwP5Y9TV18XRvr7o2NURuVyunEezNwECBAgQIECAQJUKCBiqtLHKIkCAAAECBAgQIECg+gWSpxUmJybjheefi6krU/mCu3t6orNrTzQ2NlY/gAoJECBAgAABAgTKKiBgKCu/zQkQIECAAAECBAgQILB+gcWnFYaHh2L++nwkTyscOnI4du3eHbW1tetf0B0ECBAgQIAAAQIENiAgYNgAmlsIECBAgAABAgQIECBQaoHlnlbo2tsVXXvvj6bmplIfx34ECBAgQIAAAQIEQsDgR0CAAAECBAgQIECAAIEKFpibm4unjp8ITytUcJMcjQABAgQIECCQUQEBQ0Ybr2wCBAgQIECAAAECBCpbYHRkNM6fOxeXxsfzB/W0QmX3y+kIECBAgAABAlkUEDBksetqJkCAAAECBAgQIECgIgWSpxXOnD5z499T+dkKNVtq4mBvb+zbv89shYrsmEMRIECAAAECBLItIGDIdv9VT4AAAQIECBAgQIBABQhcnrwcAy++uPS0ws7W1rj/gQeivaO9Ak7nCAQIECBAgAABAgSWFxAwLO/iUwIECBAgQIAAAQIECBRVIHla4eLwcLx89mzMXpsNTysUldviBAgQIECAAAECRRAQMBQB1ZIECBAgQIAAAQIECBBYSWB6ejpOnTwZgxcG85ds274tjvX3R3NLc+RyuZVu8zkBAgQIECBAgACBihMQMFRcSxyIAAECBAgQIECAAIFqE1hYWIiRiyPx7DNPLz2t0N3TE/sPHIiGrQ3VVq56CBAgQIAAAQIEMiIgYMhIo5VJgAABAgQIECBAgEDpBZKnFYYGX4+TAwP5zevq6+JoX1907OrwtELp22FHAgQIECBAgACBAgsIGAoMajkCBAgQIECAAAECBLItkDytMDkxGS88/1xMXZnKYyRPK3R27YnGxsZs46ieAAECBAgQIECgqgQEDFXVTsUQIECAAAECBAgQIFAugWRo81PHT8Tw8FDMX5+P5GmFQ0cOx4MPPeRphXI1xb4ECBAgQIAAAQJFFRAwFJXX4gQIECBAgAABAgQIVLvA6MhonD93Li6Nj+dL7drbFV1774+m5qZqL119BAgQIECAAAECGRcQMGT8B6B8AgQIECBAgAABAgTWL5A8rXBxeDhOHD+ef1qhZktNHOztjX3790Vtbe36F3QHAQIECBAgQIAAgRQKCBhS2DRHJkCAAAECBAgQIECgPALJ0OZTJ0/G4IXB/AF2trbG/Q88EO0d7eU5kF0JECBAgAABAgQIlFFAwFBGfFsTIECAAAECBAgQIFD5AsnQ5pGLI/HsM0/H7LXZSJ5WSIY27z9wIBq2NlR+AU5IgAABAgQIECBAoEgCAoYiwVqWAAECBAgQIECAAIF0C8xcnYnTp07FyYGBfCHJ0OajfX3RsavD0OZ0t9bpCRAgQIAAAQIECiQgYCgQpGUIECBAgAABAgQIEKgOgWRo8wvPPxdTV6byBSVPK3R27YnGxsbqKFAVBAgQIECAAAECBAokIGAoEKRlCBAgQIAAAQIECBBIr0AytPnM6TM3/j2VH9qcPK1w6Mjh2LV7t6HN6W2rkxMgQIAAAQIECBRZQMBQZGDLEyBAgAABAgQIECBQuQKXJy/fGNh83tDmym2RkxEgQIAAAQIECFSwgIChgpvjaAQIECBAgAABAgQIFF5gpaHND3/us55WKDy3FQkQIECAAAECBKpYQMBQxc1VGgECBAgQIECAAAECPxNYbmjzsf7+aG5pNrT5Z0z+IkCAAAECBAgQILBmAQHDmqlcSIAAAQIECBAgQIBAGgWSoc3nz52LS+Pj+eN37e2KA93dhjansZnOTIAAAQIECBAgUFECAoaKaofDECBAgAABAgQIECBQCIFkaPPF4eE4cfx4fmhzzZYaQ5sLAWsNAgQIECBAgAABAjcJCBhuwvAnAQIECBAgQIAAAQLpFpieno5TJ08a2pzuNjo9AQIECBAgQIBASgQEDClplGMSIECAAAECBAgQILC8QDK0eXJiMh7/5mMxe202f1F3T0/sP3AgGrY2LH+TTwkQIECAAAECBAgQ2LSAgGHThBYgQIAAAQIECBAgQKAcAslrkM6cPnPj31P51yDV1dfF0b6+6NjVYWhzORpiTwIECBAgQIAAgcwJCBgy13IFEyBAgAABAgQIEEi3wOXJyzHw4otLQ5t3trZGzyc/GU3NTekuzOkJECBAgAABAgQIpExAwJCyhjkuAQIECBAgQIAAgSwKJK9BGrk4Es8+83T+NUjJ0OaDvb2xb/++qK2tzSKJmgkQIECAAAECBAiUXUDAUPYWOAABAgQIECBAgAABAisJzFydidOnTsXJgYH8JclrkI7190e5CHepAABAAElEQVRzS7PXIK2E5nMCBAgQIECAAAECJRIQMJQI2jYECBAgQIAAAQIECKxdYHRkNM6fO7f0GqSuvV1xoLs7Ghsb176IKwkQIECAAAECBAgQKKqAgKGovBYnQIAAAQIECBAgQGCtAslrkM6+9FK8fPbs0muQDh05HLt27/YapLUiuo4AAQIECBAgQIBACQUEDCXEthUBAgQIECBAgAABArcL3PoapG3bt+Vfg9Te0X77xT4hQIAAAQIECBAgQKBiBAQMFdMKByFAgAABAgQIECCQLYFbX4PU3dMTnV17vAYpWz8D1RIgQIAAAQIECKRYQMCQ4uY5OgECBAgQIECAAIG0CczNzcXF4eE4cfx4zF+fj5otNeE1SGnrovMSIECAAAECBAgQeFdAwOCXQIAAAQIECBAgQIBA0QWmp6djaPD1ODkwkN8reQ3SV3/7a+E1SEWntwEBAgQIECBAgACBogkIGIpGa2ECBAgQIECAAAECBJLXIL3w/HMxdWUqj+E1SH4TBAgQIECAAAECBKpHQMBQPb1UCQECBAgQIECAAIGKEPAapIpog0MQIECAAAECBAgQKLqAgKHoxDYgQIAAAQIECBAgkA2BmaszcfrUKa9Byka7VUmAAAECBAgQIEAgBAx+BAQIECBAgAABAgQIbEogeQ3S+XPn4tL4eH4dr0HaFKebCRAgQIAAAQIECKRGQMCQmlY5KAECBAgQIECAAIHKEVhYWIizL70UL589G7PXZqNmS00cOnI4du3eHbW1tZVzUCchQIAAAQIECBAgQKBoAgKGotFamAABAgQIECBAgED1CSz3GqRj/f3R3tFefcWqiAABAgQIECBAgACBVQUEDKvy+JIAAQIECBAgQIAAgUTAa5D8DggQIECAAAECBAgQuFVAwHCriP8mQIAAAQIECBAgQCAvkLwGaeTiSDz7zNNeg+Q3QYAAAQIECBAgQIDAbQIChttIfECAAAECBAgQIEAg2wJzc3Px1PETMTw8FPPX56Ouvi6S1yA1tzRHLpfLNo7qCRAgQIAAAQIECBBYEhAwLFH4gwABAgQIECBAgEC2Baanp6P/2JNxaXw8D9G1tysOdHdHY2NjtmFUT4AAAQIECBAgQIDAsgIChmVZfEiAAAECBAgQIEAgGwLJa5AmJybj8W8+tvQapO6ennj4c5+N2trabCCokgABAgQIECBAgACBDQkIGDbE5iYCBAgQIECAAAEC6RZIXoN0cXg4Thw/vvQapKN9fdGxq8NrkNLdWqcnQIAAAQIECBAgUDIBAUPJqG1EgAABAgQIECBAoPwCyWuQhgZfj5MDA/nD7GxtjZ5PfjKampvKfzgnIECAAAECBAgQIEAgVQIChlS1y2EJECBAgAABAgQIbExgdGQ0zp87tzRfIXkN0v4DB6Jha8PGFnQXAQIECBAgQIAAAQKZFxAwZP4nAIAAAQIECBAgQKBaBZL5CmdfeilePnt2ab7CoSOH48GHHvIapGpturoIECBAgAABAgQIlFBAwFBCbFsRIECAAAECBAgQKIVAMl/hqeMnYnh4aGm+wrH+/mjvaC/F9vYgQIAAAQIECBAgQCAjAgKGjDRamQQIECBAgAABAtUvkMxXOHXyZAxeGMwX27W3Kw50d0djY2P1F69CAgQIECBAgAABAgRKLiBgKDm5DQkQIECAAAECBAgUViCZr/D4Nx9beg1SMl/h4c99Nmprawu7kdUIECBAgAABAgQIECBwk4CA4SYMfxIgQIAAAQIECBBIi8DifIUTx48vvQbJfIW0dM85CRAgQIAAAQIECFSHgIChOvqoCgIECBAgQIAAgYwILM5XODkwkK94Z2tr3P/AA+YrZKT/yiRAgAABAgQIECBQSQIChkrqhrMQIECAAAECBAgQWEEgma/Qf+zJuDQ+nr8ieQ1SZ9ce8xVW8PIxAQIECBAgQIAAAQLFFxAwFN/YDgQIECBAgAABAgQ2LHDrfIWDvb2xb/8+8xU2LOpGAgQIECBAgAABAgQKJSBgKJSkdQgQIECAAAECBAgUSGC5+QpH+/qiY1dH5HK5Au1iGQIECBAgQIAAAQIECGxOQMCwOT93EyBAgAABAgQIECiYgPkKBaO0EAECBAgQIECAAAECJRAQMJQA2RYECBAgQIAAAQIEVhMwX2E1Hd8RIECAAAECBAgQIFCpAgKGSu2McxEgQIAAAQIECFS9gPkKVd9iBRIgQIAAAQIECBCoagEBQ1W3V3EECBAgQIAAAQKVJrDcfIVDRw7Hgw89ZL5CpTXLeQgQIECAAAECBAgQWFVAwLAqjy8JECBAgAABAgQIFEZgcb7C8PBQzF+fj23bt8VXf/tr0d7RXpgNrEKAAAECBAgQIECAAIESCwgYSgxuOwIECBAgQIAAgWwJJPMVTp08GYMXBvOFd+3tigPd3dHY2JgtCNUSIECAAAECBAgQIFB1AgKGqmupgggQIECAAAECBCpBIJmvcP7cubg0Pp4/TndPTzz8uc9GbW1tJRzPGQgQIECAAAECBAgQILBpAQHDpgktQIAAAQIECBAgQOBdgWS+wsjFkXj2madj9tps1GypCfMV/DoIECBAgAABAgQIEKhWAQFDtXZWXQQIECBAgAABAiUTSOYrXBwejhPHj+fnK9TV18Wx/n7zFUrWARsRIECAAAECBAgQIFAOAQFDOdTtSYAAAQIECBAgUBUCi4ObTw4M5OvZ2doaPZ/8ZDQ1N1VFfYogQIAAAQIECBAgQIDAagIChtV0fEeAAAECBAgQIEBgGYFkcHP/sSffN1+hs2uPwc3LWPmIAAECBAgQIECAAIHqFRAwVG9vVUaAAAECBAgQIFBggWRw8wvPPxdTV6by8xUO9vbGvv37DG4usLPlCBAgQIAAAQIECBBIh4CAIR19ckoCBAgQIECAAIEyCdw6uDmZr2Bwc5maYVsCBAgQIECAAAECBCpKQMBQUe1wGAIECBAgQIAAgUoRMLi5UjrhHAQIECBAgAABAgQIVKqAgKFSO+NcBAgQIECAAAECZRFYbnDzwd7Pm69Qlm7YlAABAgQIECBAgACBShYQMFRyd5yNAAECBAgQIECgZALJ4OZTJ0/G4IXB/J7dPT1hcHPJ+G1EgAABAgQIECBAgEAKBQQMKWyaIxMgQIAAAQIECBROIBncfP7cubg0Pp4f3JwECw9/7rMGNxeO2EoECBAgQIAAAQIECFSpgIChShurLAIECBAgQIAAgdUFkmDh8W8+FrPXZvPBgsHNq3v5lgABAgQIECBAgAABArcKCBhuFfHfBAgQIECAAAECVSuwsLAQZ196KU4cPx7z1+ejrr4ujvX3R3NLc+RyuaqtW2EECBAgQIAAAQIECBAohoCAoRiq1iRAgAABAgQIEKgogWRw85nTZ278eyofLOxsbY37H3gg2jvaK+qcDkOAAAECBAgQIECAAIE0CQgY0tQtZyVAgAABAgQIEFiXQBIsPHX8RJwcGMjflwQLB3s/H42Njetax8UECBAgQIAAAQIECBAgcLuAgOF2E58QIECAAAECBAikXGB6ejr6jz2ZH9yclGJwc8ob6vgECBAgQIAAAQIECFSkgIChItviUAQIECBAgAABAhsRSAY3nz93Lh8s1GypufG0Qm/s278vamtrN7KcewgQIECAAAECBAgQIEBgFQEBwyo4viJAgAABAgQIEEiHQBIsPP7Nx2L22mwkwcKhI4fjwYceMrg5He1zSgIECBAgQIAAAQIEUiogYEhp4xybAAECBAgQIJB1gYWFhTj70ktx4vjx/ODmuvq6ONbfH80tzYKFrP841E+AAAECBAgQIECAQEkEBAwlYbYJAQIECBAgQIBAoQSSwc0Xh4eXgoVt27fFV3/7a9He0V6oLaxDgAABAgQIECBAgAABAmsQEDCsAcklBAgQIECAAAEC5RdIgoWnjp+IkwMD+cPsbG29MWPh89HY2Fj+wzkBAQIECBAgQIAAAQIEMiggYMhg05VMgAABAgQIEEiTwMzVmTh96tRSsNDd0xOdXXsEC2lqorMSIECAAAECBAgQIFCVAgKGqmyroggQIECAAAEC6ReYnp6O/mNPxqXx8XwxSbDw8Oc+G7W1tekvTgUECBAgQIAAAQIECBCoAgEBQxU0UQkECBAgQIAAgWoSGB0ZjfPnzuWDhZotNXHoyOHYtXu3YKGamqwWAgQIECBAgAABAgSqQkDAUBVtVAQBAgQIECBAIP0CSbDw+Dcfi9lrs7EYLDz40EORy+XSX5wKCBAgQIAAAQIECBAgUIUCAoYqbKqSCBAgQIAAAQJpEVhYWIiRiyPx7DNP54OFuvq6ONbfH80tzYKFtDTROQkQIECAAAECBAgQyKyAgCGzrVc4AQIECBAgQKB8AkmwcPall+LE8eMxf30+FoOF9o728h3KzgQIECBAgAABAgQIECCwLgEBw7q4XEyAAAECBAgQILAZgbm5ubg4PLwULOxsbY2eT34ympqbNrOsewkQIECAAAECBAgQIECgDAIChjKg25IAAQIECBAgkDWBJFh46viJODkwkC89CRYO9n4+Ghsbs0ahXgIECBAgQIAAAQIECFSNgIChalqpEAIECBAgQIBA5QncGix09/REZ9cewULltcqJCBAgQIAAAQIECBAgsG4BAcO6ydxAgAABAgQIECBwJ4Hp6enoP/ZkXBofz1+aBAsPf+6zUVtbe6dbfU+AAAECBAgQIECAAAECKREQMKSkUY5JgAABAgQIEEiDwM3BQs2WmhAspKFrzkiAAAECBAgQIECAAIGNCQgYNubmLgIECBAgQIAAgZsERkdG4/y5c/knFpJg4dCRw/HgQw9FLpe76Sp/EiBAgAABAgQIECBAgEA1CQgYqqmbaiFAgAABAgQIlFggCRYe/+ZjMXttNgQLJca3HQECBAgQIECAAAECBMosIGAocwNsT4AAAQIECBBIo8DNwUJdfV0c7euLjl0dnlhIYzOdmQABAgQIECBAgAABAhsUEDBsEM5tBAgQIECAAIGsCSwsLMTIxZF49pmn808sJMHCsf7+aO9ozxqFegkQIECAAAECBAgQIEDghoCAwc+AAAECBAgQIEBgVYEkWDj70ktx4vjxmL8+H4KFVbl8SYAAAQIECBAgQIAAgcwICBgy02qFEiBAgAABAgTWJ3BrsLCztTXuf+ABTyysj9HVBAgQIECAAAECBAgQqFoBAUPVtlZhBAgQIECAAIGNCSwXLBzs/Xw0NjZubEF3ESBAgAABAgQIECBAgEBVCggYqrKtiiJAgAABAgQIrF9gbm4unjp+Ik4ODORvTp5YECys39EdBAgQIECAAAECBAgQyIqAgCErnVYnAQIECBAgQGAFAcHCCjA+JkCAAAECBAgQIECAAIFVBQQMq/L4kgABAgQIECBQvQK3BgvdPT3x8Oc+G7W1tdVbtMoIECBAgAABAgQIECBAoGACAoaCUVqIAAECBAgQIJAOAcFCOvrklAQIECBAgAABAgQIEKh0AQFDpXfI+QgQIECAAAECBRKYnp6OUydPxuCFwfyKnlgoEKxlCBAgQIAAAQIECBAgkFEBAUNGG69sAgQIECBAIDsCSbDQf+zJuDQ+ni9asJCd3quUAAECBAgQIECAAAECxRQQMBRT19oECBAgQIAAgTIK3Bws1GypiYO9vbFv/z4zFsrYE1sTIECAAAECBAgQIECgmgQEDNXUTbUQIECAAAECBG4I3BosHDpyOB586KHI5XJ8CBAgQIAAAQIECBAgQIBAwQQEDAWjtBABAgQIECBAoLwCgoXy+tudAAECBAgQIECAAAECWRMQMGSt4+olQIAAAQIEqk5AsFB1LVUQAQIECBAgQIAAAQIEUiEgYEhFmxySAAECBAgQIHC7gGDhdhOfECBAgAABAgQIECBAgEDpBAQMpbO2EwECBAgQIECgIAKjI6Px+Dcfi9lrs5EMbzZjoSCsFiFAgAABAgQIECBAgACBdQoIGNYJ5nICBAgQIECAQLkEBAvlkrcvAQIECBAgQIAAAQIECCwnIGBYTsVnBAgQIECAAIEKEhAsVFAzHIUAAQIECBAgQIAAAQIElgQEDEsU/iBAgAABAgQIVJbAzcFCXX2dVyFVVnuchgABAgQIECBAgAABApkXEDBk/icAgAABAgQIEKg0gVuDhWP9/dHe0V5px3QeAgQIECBAgAABAgQIEMi4gIAh4z8A5RMgQIAAAQKVIyBYqJxeOAkBAgQIECBAgAABAgQI3FlAwHBnI1cQIECAAAECBIoqIFgoKq/FCRAgQIAAAQIECBAgQKBIAgKGIsFalgABAgQIECBwJwHBwp2EfE+AAAECBAgQIECAAAEClSwgYKjk7jgbAQIECBAgUJUCgoWqbKuiCBAgQIAAAQIECBAgkDkBAUPmWq5gAgQIECBAoFwCgoVyyduXAAECBAgQIECAAAECBIohIGAohqo1CRAgQIAAAQI3CdwcLNRsqYmjfX3xjx/8xzdd4U8CBAgQIECAAAECBAgQIJA+AQFD+nrmxAQIECBAgEBKBKanp+NLX/xizF6bjSRYOHTkcDz40EORy+VSUoFjEiBAgAABAgQIECBAgACBlQUEDCvb+IYAAQIECBAgsCGBJFjoP/ZkXBofFyxsSNBNBAgQIECAAAECBAgQIJAGAQFDGrrkjAQIECBAgEAqBAQLqWiTQxIgQIAAAQIECBAgQIBAgQQEDAWCtAwBAgQIECCQXQHBQnZ7r3ICBAgQIECAAAECBAhkWUDAkOXuq50AAQIECBDYlIBgYVN8biZAgAABAgQIECBAgACBlAsIGFLeQMcnQIAAAQIESi8gWCi9uR0JECBAgAABAgQIECBAoPIEBAyV1xMnIkCAAAECBCpUQLBQoY1xLAIECBAgQIAAAQIECBAoi4CAoSzsNiVAgAABAgTSJDA3Nxe//7u/G4MXBvPHPnTkcDz40EORy+XSVIazEiBAgAABAgQIECBAgACBggoIGArKaTECBAgQIECgmgSSYOGp4yfi5MBAvqzunp54+HOfjdra2moqUy0ECBAgQIAAAQIECBAgQGBDAgKGDbG5iQABAgQIEKhmAcFCNXdXbQQIECBAgAABAgQIECBQKAEBQ6EkrUOAAAECBAikXkCwkPoWKoAAAQIECBAgQIAAAQIESiggYCghtq0IECBAgACByhRYWFiIp596OvqPHcsf0KuQKrNPTkWAAAECBAgQIECAAAEClSUgYKisfjgNAQIECBAgUEKBJFg4+9JLceL48Zi/Pv//s3e3sXWe553gL7QxMNg9uwiVXSw/9ENNUdj5MJMpqXGm3amcETtuWmqSUE7WlJKBWFeiZINhZFuSZUpWJEUSRVmRnIQhZJsWYnGnY1JJLC4acZB4QzVSBs10Kp6iM+huK4qd2S0WXOyuGKBnF1gEAVbn+GUoWbJInhc+Lz8DHpPnPM99X9fvYr/kP89zx8aOjnhhYCBa17U2sApbESBAgAABAgQIECBAgACBdAoIGNI5N1UTIECAAAECVQjcK1jo6/9StLW1VbGqWwkQIECAAAECBAgQIECAQL4EBAz5mrduCRAgQIBA7gVeHx2944kFwULu/yQAECBAgAABAgQIECBAgMAKBQQMK4RzGwECBAgQIJAuganLU/Hy2TMxd3Mu2te3x+j5855YSNcIVUuAAAECBAgQIECAAAECCRMQMCRsIMohQIAAAQIEaiuwOFhoWdsSwyMj0bmps7abWI0AAQIECBAgQIAAAQIECORQQMCQw6FrmQABAgQI5EHg2tVr8dWjRypPLAgW8jBxPRIgQIAAAQIECBAgQIBAowUEDI0Wtx8BAgQIECBQV4FisRgjw9+KK9PT0bSmKQaHhqJ7S3dd97Q4AQIECBAgQIAAAQIECBDIo4CAIY9T1zMBAgQIEMigwN3BwsDBA7Fl69YoFAoZ7FZLBAgQIECAAAECBAgQIEBg9QUEDKs/AxUQIECAAAECVQjMz8/H6VOnYvLSZOWJBcFCFZhuJUCAAAECBAgQIECAAAECyxAQMCwDy6UECBAgQIBAcgTKwcKr516JsQsXKkVt6+mJPfv2emIhOSNSCQECBAgQIECAAAECBAhkXEDAkPEBa48AAQIECGRNoFQqxWuvvnb7nIXhSmvlYGHX009Fc3Nz1lrVDwECBAgQIECAAAECBAgQSLSAgCHR41EcAQIECBAg8J5AOVgYf/PNeOXcuVi4tRAbOzri+OAJwcJ7QP5LgAABAgQIECBAgAABAgQaLCBgaDC47QgQIECAAIHlC7w+OnpHsNDX/6Voa2tb/kLuIECAAAECBAgQIECAAAECBGomIGCoGaWFCBAgQIAAgVoLTF2eipfPnom5m3PRvr49Rs+fFyzUGtl6BAgQIECAAAECBAgQIEBghQIChhXCuY0AAQIECBCon8C1q9fiq0ePVIKFlrUtMTwyEp2bOuu3oZUJECBAgAABAgQIECBAgACBZQsIGJZN5gYCBAgQIECgXgLFYvH24c3fiivT09G0pkmwUC9o6xIgQIAAAQIECBAgQIAAgRoICBhqgGgJAgQIECBAoDqB+fn5ePHAwfeDhYGDB2LL1q1RKBSqW9jdBAgQIECAAAECBAgQIECAQN0EBAx1o7UwAQIECBAg8CCBcrDw6rlXYuzChcqlff39sXPXTsHCg+B8T4AAAQIECBAgQIAAAQIEEiAgYEjAEJRAgAABAgTyJlAqlWL8zTfj5InBSuvbenpi19NPRXNzc94o9EuAAAECBAgQIECAAAECBFIrIGBI7egUToAAAQIE0ifwXrDwyrlzsXBrITZ2dMTxwROChfSNUsUECBAgQIAAAQIECBAgQCAEDP4ICBAgQIAAgYYITF2eipfPnom5m3OVYKGv/0vR1tbWkL1tQoAAAQIECBAgQIAAAQIECNReQMBQe1MrEiBAgAABAosEisViPL93byVYaFnbEsMjI9G5qXPRFX4kQIAAAQIECBAgQIAAAQIE0iggYEjj1NRMgAABAgRSIFAOFkaGvxVXpqejaU2TYCEFM1MiAQIECBAgQIAAAQIECBBYjoCAYTlariVAgAABAgQeKDA/Px+nT52KyUuTlWBh4OCB2LJ1axQKhQfe6wICBAgQIECAAAECBAgQIEAgPQIChvTMSqUECBAgQCDRAuUDnF979bXbTy0MV+rc1tMTe/btFSwkemqKI0CAAAECBAgQIECAAAECKxcQMKzczp0ECBAgQIDAbYFysDD+5pvxyrlzsXBrIbo2d8W+/fujubmZDwECBAgQIECAAAECBAgQIJBhAQFDhoerNQIECBAgUG+BqctT8fLZM5UDnDd2dERf/5eira2t3ttanwABAgQIECBAgAABAgQIEEiAgIAhAUNQAgECBAgQSJtA+QDn5/furQQLLWtb4o2xsdjw6Ia0taFeAgQIECBAgAABAgQIECBAoAoBAUMVeG4lQIAAAQJ5E5i9MRtDJ0/GlenpygHOg0ND0b2lO28M+iVAgAABAgQIECBAgAABAgRuCwgY/BkQIECAAAECDxSYn5+PV8+9EmMXLlSChYGDB2LL1q0OcH6gnAsIECBAgAABAgQIECBAgEB2BQQM2Z2tzggQIECAQNUCdx/gvK2nJ3Y9/ZQDnKuWtQABAgQIECBAgAABAgQIEEi/gIAh/TPUAQECBAgQqItA+QDnrxx6MRZuLUT5AOcXBgaidV1rXfayKAECBAgQIECAAAECBAgQIJA+AQFD+mamYgIECBAgUFeBuw9wHj1/Ptra2uq6p8UJECBAgAABAgQIECBAgACB9AkIGNI3MxUTIECAAIG6CNx9gPPwyEh0buqsy14WJUCAAAECBAgQIECAAAECBNIvIGBI/wx1QIAAAQIEqhJwgHNVfG4mQIAAAQIECBAgQIAAAQK5FRAw5Hb0GidAgACBvAs4wDnvfwH6J0CAAAECBAgQIECAAAEC1QkIGKrzczcBAgQIEEilgAOcUzk2RRMgQIAAAQIECBAgQIAAgUQJCBgSNQ7FECBAgACB+gqUD3AePH48Zq7PRMvalnj569+IDY9uqO+mVidAgAABAgQIECBAgAABAgQyKSBgyORYNUWAAAECBO4UKJ+z8OKBg3Flejqa1jTF4NBQdG/pvvMivxEgQIAAAQIECBAgQIAAAQIEliEgYFgGlksJECBAgEDaBMrnLLz26msxMjxcKb2vvz927toZhUIhba2olwABAgQIECBAgAABAgQIEEiYgIAhYQNRDgECBAgQqJXAxPhEnH7pVCzcWoiuzV2xb//+aG5urtXy1iFAgAABAgQIECBAgAABAgRyLiBgyPkfgPYJECBAIHsC5XMWnt+7N+ZuzkX7+vYYPX8+2trasteojggQIECAAAECBAgQIECAAIFVFRAwrCq/zQkQIECAQO0E7j5nYXhkJDo3ddZuAysRIECAAAECBAgQIECAAAECBBYJCBgWYfiRAAECBAikUeDucxYGDh6ILVu3OmchjcNUMwECBAgQIECAAAECBAgQSJGAgCFFw1IqAQIECBC4W8A5C3eL+J0AAQIECBAgQIAAAQIECBBolICAoVHS9iFAgAABAjUUcM5CDTEtRYAAAQIECBAgQIAAAQIECKxIQMCwIjY3ESBAgACB1RFwzsLquNuVAAECBAgQIECAAAECBAgQ+KCAgOGDJj4hQIAAAQKJE3DOQuJGoiACBAgQIECAAAECBAgQIJB7AQFD7v8EABAgQIBA0gWcs5D0CamPAAECBAgQIECAAAECBAjkU0DAkM+565oAAQIEUiBQPmdh8PjxmLk+Ey1rW2L0/Ploa2tLQeVKJECAAAECBAgQIECAAAECBPIgIGDIw5T1SIAAAQKpEiifs3D61KmYvDQZTWuaYnBoKLq3dKeqB8USIECAAAECBAgQIECAAAEC2RcQMGR/xjokQIAAgZQIlM9ZGH/zzXjl3LlYuLUQff39sXPXzigUCinpQJkECBAgQIAAAQIECBAgQIBAngQEDHmatl4JECBAILEC165ei68ePRJzN+diY0dHvDAwEK3rWhNbr8IIECBAgAABAgQIECBAgAABAgIGfwMECBAgQGAVBWZvzMbQyZNxZXq6cs7CG2NjseHRDatYka0JECBAgAABAgQIECBAgAABAksTEDAszclVBAgQIECgpgLl1yG99uprMTI8XDlnYeDggdiydavXIdVU2WIECBAgQIAAAQIECBAgQIBAPQUEDPXUtTYBAgQIELiHwMT4RJx+6VTlnIWuzV2xb//+aG5uvseVPiJAgAABAgQIECBAgAABAgQIJFdAwJDc2aiMAAECBDImUCwWY/D48Zi5PhPt69tj9Pz5aGtry1iX2iFAgAABAgQIECBAgAABAgTyIiBgyMuk9UmAAAECqyZQfh3SmdNfi7ELFyqvQxocGoruLd2rVo+NCRAgQIAAAQIECBAgQIAAAQK1EBAw1ELRGgQIECBA4D4Cr4+OxivnzlVeh7Stpyf27NvrnIX7WPmYAAECBAgQIECAAAECBAgQSJeAgCFd81ItAQIECKREoPw6pOf37o25m3OxsaMj+vq/5HVIKZmdMgkQIECAAAECBAgQIECAAIGlCQgYlubkKgIECBAgsCSB+fn5OH3qVExemqy8Dml4ZCQ6N3Uu6V4XESBAgAABAgQIECBAgAABAgTSJCBgSNO01EqAAAECiRZY/Dqkvv7+2Llrp9chJXpiiiNAgAABAgQIECBAgAABAgSqERAwVKPnXgIECBAgcFvg7tchvTAwEK3rWtkQIECAAAECBAgQIECAAAECBDItIGDI9Hg1R4AAAQL1FPA6pHrqWpsAAQIECBAgQIAAAQIECBBIuoCAIekTUh8BAgQIJFLA65ASORZFESBAgAABAgQIECBAgAABAg0UEDA0ENtWBAgQIJB+Aa9DSv8MdUCAAAECBAgQIECAAAECBAjURkDAUBtHqxAgQIBAxgW8DinjA9YeAQIECBAgQIAAAQIECBAgsGwBAcOyydxAgAABAnkT8DqkvE1cvwQIECBAgAABAgQIECBAgMBSBAQMS1FyDQECBAjkUqD8OqTB48dj5vpMbOzoiBcGBqJ1XWsuLTRNgAABAgQIECBAgAABAgQIELhbQMBwt4jfCRAgQCD3AqVSKc6c/lqMXbgQTWuaYnBoKLq3dOfeBQABAgQIECBAgAABAgQIECBAYLGAgGGxhp8JECBAIPcCE+MTcfqlU7FwayG29fTEnn17o1Ao5N4FAAECBAgQIECAAAECBAgQIEDgbgEBw90ifidAgACBXArM3piNoZMn48r0dLSvb4/R8+ejra0tlxaaJkCAAAECBAgQIECAAAECBAgsRUDAsBQl1xAgQIBAZgXKr0N67dXXYmR4uPI6pIGDB2JHb29m+9UYAQIECBAgQIAAAQIECBAgQKBWAgKGWklahwABAgRSJ3Dt6rV49pndldchdW3uin3790dzc3Pq+lAwAQIECBAgQIAAAQIECBAgQGA1BAQMq6FuTwIECBBYVYH5+fl48cDByuuQWta2eB3Sqk7D5gQIECBAgAABAgQIECBAgEBaBQQMaZ2cugkQIEBgRQKvj47GK+fOVZ5aKL8OacvWrQ5xXpGkmwgQIECAAAECBAgQIECAAIG8CwgY8v4XoH8CBAjkRKBYLMbze/fG3M252NjRES8MDETrutacdK9NAgQIECBAgAABAgQIECBAgEDtBQQMtTe1IgECBAgkSKB8iPOZ01+LsQsXKoc4D4+MROemzgRVqBQCBAgQIECAAAECBAgQIECAQDoFBAzpnJuqCRAgQGAJAlOXp+Irh16svA5pW09P7Nm31+uQluDmEgIECBAgQIAAAQIECBAgQIDAUgQEDEtRcg0BAgQIpErAIc6pGpdiCRAgQIAAAQIECBAgQIAAgZQKCBhSOjhlEyBAgMC9BcqHOJ88MVj5snyI847e3ntf6FMCBAgQIECAAAECBAgQIECAAIGqBAQMVfG5mQABAgSSIlA+xHnw+PGYuT5TOcT5+OCJaG5uTkp56iBAgAABAgQIECBAgAABAgQIZE5AwJC5kWqIAAEC+RIoH+L82quvxcjwcOUQ58Ghoeje0p0vBN0SIECAAAECBAgQIECAAAECBFZBQMCwCui2JECAAIHaCFy7ei2efWZ35RDnrs1dcfTYMYc414bWKgQIECBAgAABAgQIECBAgACBBwoIGB5I5AICBAgQSJpA+RDn06dOxeSlyWhZ2xKj589HW1tb0spUDwECBAgQIECAAAECBAgQIEAg0wIChkyPV3MECBDInsDE+EScfulU5amFvv7+2Llrp6cWsjdmHREgQIAAAQIECBAgQIAAAQIpEBAwpGBISiRAgACBiNkbszF08mRcmZ6O9vXtMT5xMVrXtaIhQIAAAQIECBAgQIAAAQIECBBYJYFfWqV9bUuAAAECBJYs8ProaHzqscfiz/6sGAMHD8R3vvc94cKS9VxIgAABAgQIECBAgAABAgQIEKiPgCcY6uNqVQIECBCogUCxWIzB48dj5vpMbOzoiOODJ6K5ubkGK1uCAAECBAgQIECAAAECBAgQIECgWgEBQ7WC7idAgACBmguUSqV47dXXYmR4OJrWNMXg0FB0b+mu+T4WJECAAAECBAgQIECAAAECBAgQWLmAgGHldu4kQIAAgToIlJ9aeH7v3pi7ORddm7vi6LFjDnGug7MlCRAgQIAAAQIECBAgQIAAAQLVCggYqhV0PwECBAjURKD81MLhQ4di8tJk5amFN8bGYsOjG2qytkUIECBAgAABAgQIECBAgAABAgRqLyBgqL2pFQkQIEBgmQLXrl6LZ5/ZHQu3FqKvvz927trpqYVlGrqcAAECBAgQIECAAAECBAgQINBoAQFDo8XtR4AAAQLvCyx+aqFlbUuMnj8fbW1t73/vBwIECBAgQIAAAQIECBAgQIAAgeQKCBiSOxuVESBAINMCE+MTcfqlU55ayPSUNUeAAAECBAgQIECAAAECBAhkWUDAkOXp6o0AAQIJFJifn48XDxyMK9PT0b6+3VMLCZyRkggQIECAAAECBAgQIECAAAECSxEQMCxFyTUECBAgUBOBxU8tDBw8EDt6e2uyrkUIECBAgAABAgQIECBAgAABAgQaLyBgaLy5HQkQIJA7gbufWhifuBit61pz56BhAgQIECBAgAABAgQIECBAgECWBAQMWZqmXggQIJBAAU8tJHAoSiJAgAABAgQIECBAgAABAgQI1EBAwFADREsQIECAwAcFPLXwQROfECBAgAABAgQIECBAgAABAgSyJCBgyNI09UKAAIGECHhqISGDUAYBAgQIECBAgAABAgQIECBAoI4CAoY64lqaAAECeRPw1ELeJq5fAgQIECBAgAABAgQIECBAIM8CAoY8T1/vBAgQqKGApxZqiGkpAgQIECBAgAABAgQIECBAgEAKBAQMKRiSEgkQIJBkAU8tJHk6aiNAgAABAgQIECBAgAABAgQI1E9AwFA/WysTIEAg8wKeWsj8iDVIgAABAgQIECBAgAABAgQIELivgIDhvjS+IECAAIH7CXhq4X4yPidAgAABAgQIECBAgAABAgQI5EdAwJCfWeuUAAECNRHw1EJNGC1CgAABAgQIECBAgAABAgQIEEi9gIAh9SPUAAECBBoj4KmFxjjbhQABAgQIECBAgAABAgQIECCQFgEBQ1ompU4CBAisosC1q9fi2Wd2x8KthRg4eCB29PauYjW2JkCAAAECBAgQIECAAAECBAgQSIKAgCEJU1ADAQIEEipQKpXi8KFDMXlpMlrWtsT4xMVoXdea0GqVRYAAAQIECBAgQIAAAQIECBAg0EgBAUMjte1FgACBFAksfmqhr78/du7aGYVCIUUdKJUAAQIECBAgQIAAAQIECBAgQKCeAgKGeupamwABAikUKD+1cOb012LswoXKUwuj589HW1tbCjtRMgECBAgQIECAAAECBAgQIECAQD0FBAz11LU2AQIEUiZQLBbj+b17Y+7mXGzr6Yk9+/Z6aiFlM1QuAQIECBAgQIAAAQIECBAgQKBRAgKGRknbhwABAgkXOHvmbIwMD0fTmqZ4Y2wsNjy6IeEVK48AAQIECBAgQIAAAQIECBAgQGA1BQQMq6lvbwIECCRAYPbGbAy8sD9mrs9E1+auOHrsmKcWEjAXJRAgQIAAAQIECBAgQIAAAQIEki4gYEj6hNRHgACBOgq8PjoaJ08MVp5aGBwaiu4t3XXczdIECBAgQIAAAQIECBAgQIAAAQJZEhAwZGmaeiFAgMASBebn5+PFAwfjyvR0bOzoiOODJ6K5uXmJd7uMAAECBAgQIECAAAECBAgQIECAQISAwV8BAQIEciYwdXkqvnLoxVi4tRADBw/Ejt7enAlolwABAgQIECBAgAABAgQIECBAoBYCAoZaKFqDAAECKRAolUpx+NChmLw0Ge3r22N84mK0rmtNQeVKJECAAAECBAgQIECAAAECBAgQSKKAgCGJU1ETAQIEaixQLBbj+b17Y+7mXPT198fOXTsd5FxjY8sRIECAAAECBAgQIECAAAECBPImIGDI28T1S4BA7gTOnjkbI8PDlYOcv3vprWhra8udgYYJECBAgAABAgQIECBAgAABAgRqL/BLtV/SigQIECCQBIHZG7Px33/uc5VwoWtzV/zR1avChSQMRg0ECBAgQIAAAQIECBAgQIAAgYwIeIIhI4PUBgECBBYLTIxPxOmXTlU+Ghwaiu4t3Yu/9jMBAgQIECBAgAABAgQIECBAgACBqgUEDFUTWoAAAQLJEbj7IOeTQ6cc5Jyc8aiEAAECBAgQIECAAAECBAgQIJApAQFDpsapGQIE8ixQPsi5d/v2WLi1UDnI+bk9z+WZQ+8ECBAgQIAAAQIECBAgQIAAAQJ1FhAw1BnY8gQIEGiEgIOcG6FsDwIECBAgQIAAAQIECBAgQIAAgcUCDnlerOFnAgQIpEzAQc4pG5hyCRAgQIAAAQIECBAgQIAAAQIZEvAEQ4aGqRUCBPIlMHV5Kr5y6MVK0w5yztfsdUuAAAECBAgQIECAAAECBAgQSIKAgCEJU1ADAQIEliHgIOdlYLmUAAECBAgQIECAAAECBAgQIECgbgIChrrRWpgAAQK1Fyi/Eunpp3bF3M25ykHOO3ftjEKhUPuNrEiAAAECBAgQIECAAAECBAgQIEDgAQIChgcA+ZoAAQJJEXh9dDROnhiMpjVN8cbYWGx4dENSSlMHAQIECBAgQIAAAQIECBAgQIBADgUEDDkcupYJEEiXQPmVSM98eXdcmZ6OjR0dcXzwRDQ3N6erCdUSIECAAAECBAgQIECAAAECBAhkTkDAkLmRaogAgSwJFIvF6N2+PRZuLcTAwQOxo7c3S+3phQABAgQIECBAgAABAgQIECBAIMUCv5Ti2pVOgACBTAuUX4n0+c2PV3r87qW3hAuZnrbmCBAgQIAAAQIECBAgQIAAAQLpE/AEQ/pmpmICBDIuMD8/H/19fTFzfabySqSvf/MbDnLO+My1R4AAAQIECBAgQIAAAQIECBBIo4CAIY1TUzMBApkVuHb1Wjz7zO7KK5EGh4aie0t3ZnvVGAECBAgQIECAAAECBAgQIECAQLoFBAzpnp/qCRDIkMDZM2djZHg4Wta2xPjExWhd15qh7rRCgAABAgQIECBAgAABAgQIECCQNQEBQ9Ymqh8CBFInsPiVSF2bu+LosWNeiZS6KSqYAAECBAgQIECAAAECBAgQIJA/AQFD/mauYwIEEiTglUgJGoZSCBAgQIAAAQIECBAgQIAAAQIEliUgYFgWl4sJECBQOwGvRKqdpZUIECBAgAABAgQIECBAgAABAgQaLyBgqLX5z4rx1nd+En/yh6PxnT//2/dXf+jjT8SzXb8Tn+rZGL/6y+9/7AcCBHIo4JVIORy6lgkQIECAAAECBAgQIECAAAECGRQQMNRsqP93FEcH4ksn3o75e6z58z+/GC+V/33tn8XpN0/H4w//nXtc5SMCBLIuUCwWo3f79li4tRCDQ0PRvaU76y3rjwABAgQIECBAgAABAgQIECBAIKMCv5TRvhrb1i9uxls7u+Lz9wkX7ihm/vuxb+tX48rPfnHHx34hQCD7Aq+PjsbnNz9eafQHb78tXMj+yHVIgAABAgQIECBAgAABAgQIEMi0gICh6vH+n3FlYHvs++HfvLvSfxF//4m9cfrSn8bN//DX7/z7Z2/F6ad/K5rf2+t2yDDynRshYngPxH8JZFugVCrFjt/fHidPDMbGjo74o6tXo3Vda7ab1h0BAgQIECBAgAABAgQIECBAgEDmBbwiqaoR/yJ+Nv1yvHjxP767yq/EY2feiJHPrY07jln4aFs8vv9b8Q/WPBmbTvw0fh5/G//+p38RP+v9u/GxqvZ3MwECSReYvTEbW7qfqLwSaeDggdjR25v0ktVHgAABAgQIECBAgAABAgQIECBAYEkCnmBYEtP9Lvo/YvoP/tW7Zy48FM1PfCWG7g4X3r/178Taf9oRf/fd33/+r/9N/PnP3//SDwQIZFBgYnwiPvXYY5XOvnvpLeFCBmesJQIECBAgQIAAAQIECBAgQIBAngU8wVDF9H9R/B/iGz/62TsrPPRPYs/+jvjoh633cG9M/gf/v5c/jMh3BLIgUH4l0uFDh2Ly0mS0r2+P4ZGRaG5+/yVpWWhRDwQIECBAgAABAgQIECBAgAABAgRCwFDFH8H/9qfX42/evf+hR38nPvmxO16MVMXK1d+69lcfrn4RKxAgULXAzPWZ+Me//htVr2MBAgQIECBAgAABAgQIECBAgACB5QmUz8j1T30FvCKpCt+Zn9549+6PxobOX1/18xSEClUM060ECBAgQIAAAQIECBAgQIAAAQIECGRKwP9eWv9xChiqMJ79y//n3bvXxT9q/6+rWKk2t0rkauNoFQIECBAgQIAAAQIECBAgQIAAAQIE0i/gfy+t/wy9IqkK41v/17unND/00VjzXyYrq/F/PFUM1q0EliFQPsj59EunKnd89djx6NzUuYy7XUqAAAECBAgQIECAAAECBAgQIEAgvQLJ+l/F0+v4gMr/3yie+lSUH8lZ+6tt0fu9//0B1/uaAIGkC5QPct7z7LNx4IUX4uGHH47xiYvChaQPTX0ECBAgQIAAAQIECBAgQIAAAQI1FfAEQxWca/6rhyL+5vZTDD//jzH7v/5/ER/7z+652i9u/kGceP2v3vnuoUfid//Jf3PP63xIgEA6BGZvzMbTT+2KuZtz0dffH8/teS4dhauSAAECBAgQIECAAAECBAgQIECAQA0FPMFQBWbrf/ufv3v3X8f/+Oa/jp/da62f/XGceXY4ipW3KT0Uv7JjV3z2Y798ryt9RoBACgReHx2NTz32WCwsLMQbY2PChRTMTIkECBAgQIAAAQIECBAgQIAAAQL1ERAwVOHa8cXfjebK/T+P+Yt74veeH4/iz37xzoq/+Ou4Mro/uh75Qrz653/7zmfNn48ju34txAtVoLuVwCoJlF+JtOP3t8fJE4OxsaMjvj81FRse3bBK1diWAAECBAgQIECAAAECBAgQIECAwOoLeEVSFTP46Ce3x57fvhb7fvg3t1f52/h3Fwfi87f/vec/D7XFrpE9sfGj4oV7+viQQIIFisVi9G7fHgu3FmLg4IHY0dub4GqVRoAAAQIECBAgQIAAAQIECBAgQKAxAp5gqMb5l9fG4y99PQZ+61c+dJWHPr41hi6OxvPrP/ah1/mSAIHkCZRfifT5zY9XCvvupbeEC8kbkYoIECBAgAABAgQIECBAgAABAgRWScATDNXCf3R97Dg/Geu/91a8PTUWr/6o/DRD+Z+Hovm3nownO38nPv+5tvjoOx/6fwkQSIlA+ZVIz3x5d1yZnq68Eunr3/xGFAqFlFSvTAIECBAgQIAAAQIECBAgQIAAAQL1FxAw1MT4Y9H2ud7Kv8/XZD2LECCwmgKzN2ZjS/cTXom0mkOwNwECBAgQIECAAAECBAgQIECAQOIFvCIp8SNSIAECjRSYGJ+ITz32WGVLr0RqpLy9CBAgQIAAAQIECBAgQIAAAQIE0ibgCYa0TUy9BAjURaD8SqTDhw7F5KXJaF/fHsMjI9Hc3FyXvSxKgAABAgQIECBAgAABAgQIECBAIAsCAoYsTFEPBAhUJVB+JdLTT+2KuZtz0dffH8/tea6q9dxMgAABAgQIECBAgAABAgQIECBAIA8CAoY8TFmPBAjcV2Dq8lR85dCLle/fGBuLDY9uuO+1viBAgAABAgQIECBAgAABAgQIECBA4D8JOIPhP1n4iQCBnAkcPXwk+vv64uGHH47xiYvChZzNX7sECBAgQIAAAQIECBAgQIAAAQLVCXiCoTo/dxMgkEKB+fn5SrAwc30mtvX0xJ59e6NQKKSwEyUTIECAAAECBAgQIECAAAECBAgQWD0BAcPq2duZAIFVECgWi9G7fXss3FqIwaGh6N7SvQpV2JIAAQIECBAgQIAAAQIECBAgQIBA+gW8Iin9M9QBAQJLFJgYn4jPb368cvUP3n5buLBEN5cRIECAAAECBAgQIECAAAECBAgQuJeAJxjupeIzAgQyJVAqleLwoUMxeWkyNnZ0xNe/+Q2vRMrUhDVDgAABAgQIECBAgAABAgQIECCwGgIChtVQtycBAg0TmL0xGwMv7I/yeQt9/f3x3J7nGra3jQgQIECAAAECBAgQIECAAAECBAhkWUDAkOXp6o1AzgWuXb0Wzz6zu6IwPDISnZs6cy6ifQIECBAgQIAAAQIECBAgQIAAAQK1E3AGQ+0srUSAQIIEXh8djd/bti2amppifOKicCFBs1EKAQIECBAgQIAAAQIECBAgQIBANgQ8wZCNOeqCAIF3BZy34E+BAAECBAgQIECAAAECBAgQIECAQGMEBAyNcbYLAQINEHDeQgOQbUGAAAECBAgQIECAAAECBAgQIEDgXQEBgz8FAgQyIeC8hUyMURMECBAgQIAAAQIECBAgQIAAAQIpEnAGQ4qGpVQCBO4t4LyFe7v4lAABAgQIECBAgAABAgQIECBAgEA9BTzBUE9daxMgUFeB8nkLZ05/LcYuXIiNHR3x9W9+IwqFQl33tDgBAgQIECBAgAABAgQIECBAgAABAu8ICBj8JRAgkEqB+fn56O/ri5nrM7GtpycOHz2Syj4UTYAAAQIECBAgQIAAAQIECBAgQCCtAgKGtE5O3QRyLFA+zHlL9xOxcGshhkdGonNTZ441tE6AAAECBAgQIECAAAECBAgQIEBgdQScwbA67nYlQGCFAlOXp+JTjz1WufsHb78tXFiho9sIECBAgAABAgQIECBAgAABAgQIVCsgYKhW0P0ECDRM4OjhI5XXIrWvb4/vT01F67rWhu1tIwIECBAgQIAAAQIECBAgQIAAAQIE7hTwiqQ7PfxGgEACBcqHOT/z5d1xZXq6ct7Cnn17HeacwDkpiQABAgQIECBAgAABAgQIECBAIF8CAoZ8zVu3BFInUD5vYeCF/ZXDnAcOHogdvb2p60HBBAgQIECAAAECBAgQIECAAAECBLIoIGDI4lT1RCAjAsViMXq3b6904zDnjAxVGwQIECBAgAABAgQIECBAgAABApkRcAZDZkapEQLZEigf5vz5zY9XmhqfuOgw52yNVzcECBAgQIAAAQIECBAgQIAAAQIZEPAEQwaGqAUCWRMoH+Y8duFClA9z/vbt/xYKhay1qB8CBAgQIECAAAECBAgQIECAAAECqRfwBEPqR6gBAtkRKB/mvOfZZyvhwraeHuFCdkarEwIECBAgQIAAAQIECBAgQIAAgQwKeIIhg0PVEoE0CszPz0d/X1/lMOe+/v54bs9zaWxDzQQIECBAgAABAgQIECBAgAABAgRyIyBgyM2oNUoguQKzN2ZjS/cTsXBrIRzmnNw5qYwAAQIECBAgQIAAAQIECBAgQIDAYgGvSFqs4WcCBBouUD7MuRwulP/5wdtvO8y54ROwIQECBAgQIECAAAECBAgQIECAAIGVCQgYVubmLgIEaiAwMT5ReS3Sww8/HOMTF6N1XWsNVrUEAQIECBAgQIAAAQIECBAgQIAAAQKNEPCKpEYo24MAgQ8IHD18pHKYc/v6doc5f0DHBwQIECBAgAABAgQIECBAgAABAgSSL+AJhuTPSIUEMiVQKpVix+9vr4QL23p64jvf+14UCoVM9agZAgQIECBAgAABAgQIECBAgAABAnkQ8ARDHqasRwIJEZifn6+8Emnm+kwMHDwQO3p7E1KZMggQIECAAAECBAgQIECAAAECBAgQWK6AgGG5Yq4nQGBFArM3ZiuHOS/cWojhkRGHOa9I0U0ECBAgQIAAAQIECBAgQIAAAQIEkiMgYEjOLFRCILMC165ei2ef2V3p7wdvv+0w58xOWmMECBAgQIAAAQIECBAgQIAAAQJ5EnAGQ56mrVcCqyAwdXkqfm/btmhqaorxiYvChVWYgS0JECBAgAABAgQIECBAgAABAgQI1EPAEwz1ULUmAQIVgbNnzsbI8HC0r2+Pb1+44DBnfxcECBAgQIAAAQIECBAgQIAAAQIEMiTgCYYMDVMrBJIkcPTwkUq40LW5S7iQpMGohQABAgQIECBAgAABAgQIECBAgECNBDzBUCNIyxAg8I5AqVSKJ3t6Yub6TGy7/d/DR4+gIUCAAAECBAgQIECAAAECBAgQIEAggwIChgwOVUsEVktgcbgwODQU3Vu6V6sU+xIgQIAAAQIECBAgQIAAAQIECBAgUGcBAUOdgS1PIC8CszdmY0v3E7FwayGGR0aic1NnXlrXJwECBAgQIECAAAECBAgQIECAAIFcCggYcjl2TROoOz5y/AAAQABJREFUrcB74UJ51e9eeiva2tpqu4HVCBAgQIAAAQIECBAgQIAAAQIECBBInIBDnhM3EgURSJfA1OWp+NRjj1WKHp+4KFxI1/hUS4AAAQIECBAgQIAAAQIECBAgQGDFAgKGFdO5kQCBcrjQ39cX7evb4/tTU9G6rhUKAQIECBAgQIAAAQIECBAgQIAAAQI5EfCKpJwMWpsEai1w9szZGBkeroQL375wIQqFQq23sB4BAgQIECBAgAABAgQIECBAgAABAgkW8ARDgoejNAJJFTh6+EglXOja3BXChaROSV0ECBAgQIAAAQIECBAgQIAAAQIE6ivgCYb6+lqdQKYESqVSnDn9tRi7/cTCtp6eOHz0SKb60wwBAgQIECBAgAABAgQIECBAgAABAksXEDAs3cqVBHItUA4XnrwdKsxcnxEu5PovQfMECBAgQIAAAQIECBAgQIAAAQIE3hEQMPhLIEDggQKLw4XhkZHo3NT5wHtcQIAAAQIECBAgQIAAAQIECBAgQIBAtgWcwZDt+eqOQNUCszdmY/NnP1t5ckG4UDWnBQgQIECAAAECBAgQIECAAAECBAhkRsATDJkZpUYI1F6gHC5s6X6isrBwofa+ViRAgAABAgQIECBAgAABAgQIECCQZgEBQ5qnp3YCdRRYHC6MT1yM1nWtddzN0gQIECBAgAABAgQIECBAgAABAgQIpE3AK5LSNjH1EmiAwLWr195/ckG40ABwWxAgQIAAAQIECBAgQIAAAQIECBBIoYCAIYVDUzKBegpMXZ6K39u2LZqamkK4UE9paxMgQIAAAQIECBAgQIAAAQIECBBIt4BXJKV7fqonUFOBcrjQ39cX7evb49sXLkShUKjp+hYjQIAAAQIECBAgQIAAAQIECBAgQCA7Ap5gyM4sdUKgKgHhQlV8biZAgAABAgQIECBAgAABAgQIECCQOwFPMORu5Bom8EGBo4ePxNjtJxY8ufBBG58QIECAAAECBAgQIECAAAECBAgQIHBvAU8w3NvFpwRyI/BeuNC1uctrkXIzdY0SIECAAAECBAgQIECAAAECBAgQqF5AwFC9oRUIpFbgvXBhW09PnHn5ZWcupHaSCidAgAABAgQIECBAgAABAgQIECDQeAEBQ+PN7UggEQKLw4XDR48koiZFECBAgAABAgQIECBAgAABAgQIECCQHgFnMKRnViolUBOBUqkUZ05/rXLmQvnJBeFCTVgtQoAAAQIECBAgQIAAAQIECBAgQCB3AgKG3I1cw3kWKIcLT94OFWauz4RwIc9/CXonQIAAAQIECBAgQIAAAQIECBAgUL2AgKF6QysQSIXA4nBhcGgourd0p6JuRRIgQIAAAQIECBAgQIAAAQIECBAgkEwBAUMy56IqAjUVWBwuDI+MROemzpqubzECBAgQIECAAAECBAgQIECAAAECBPIn4JDn/M1cxzkTEC7kbODaJUCAAAECBAgQIECAAAECBAgQINAgAQFDg6BtQ2A1BIQLq6FuTwIECBAgQIAAAQIECBAgQIAAAQL5EBAw5GPOusyhgHAhh0PXMgECBAgQIECAAAECBAgQIECAAIEGCggYGohtKwKNEhAuNEraPgQIECBAgAABAgQIECBAgAABAgTyKyBgyO/sdZ5RAeFCRgerLQIECBAgQIAAAQIECBAgQIAAAQIJExAwJGwgyiFQjcDsjdl4sqcnZq7PxPDISHRu6qxmOfcSIECAAAECBAgQIECAAAECBAgQIEDgvgIfue83viBAIFUC5XBhS/cTsXBrQbiQqskplgABAgQIECBAgAABAgQIECBAgEA6BTzBkM65qZrAHQLChTs4/EKAAAECBAgQIECAAAECBAgQIECAQAMEBAwNQLYFgXoKCBfqqWttAgQIECBAgAABAgQIECBAgAABAgTuJyBguJ+MzwmkQEC4kIIhKZEAAQIECBAgQIAAAQIECBAgQIBARgUEDBkdrLayLyBcyP6MdUiAAAECBAgQIECAAAECBAgQIEAgyQIChiRPR20E7iNQKpUc6HwfGx8TIECAAAECBAgQIECAAAECBAgQINAYAQFDY5ztQqBmAuVw4cmenli4tRDDIyPRuamzZmtbiAABAgQIECBAgAABAgQIECBAgAABAksVEDAsVcp1BBIg8F64MHN9RriQgHkogQABAgQIECBAgAABAgQIECBAgECeBQQMeZ6+3lMlIFxI1bgUS4AAAQIECBAgQIAAAQIECBAgQCDzAgKGzI9Yg1kQEC5kYYp6IECAAAECBAgQIECAAAECBAgQIJAtAQFDtuapmwwKCBcyOFQtESBAgAABAgQIECBAgAABAgQIEMiAgIAhA0PUQnYFhAvZna3OCBAgQIAAAQIECBAgQIAAAQIECKRdQMCQ9gmqP7MCwoXMjlZjBAgQIECAAAECBAgQIECAAAECBDIhIGDIxBg1kTUB4ULWJqofAgQIECBAgAABAgQIECBAgAABAtkTEDBkb6Y6yoDAM1/eHTPXZ2J4ZCQ6N3VmoCMtECBAgAABAgQIECBAgAABAgQIECCQNQEBQ9Ymqp/UCxw9fCSuTE/Htp4e4ULqp6kBAgQIECBAgAABAgQIECBAgAABAtkVEDBkd7Y6S6FAOVwYu3ChEi4cPnokhR0omQABAgQIECBAgAABAgQIECBAgACBvAgIGPIyaX0mXkC4kPgRKZAAAQIECBAgQIAAAQIECBAgQIAAgUUCAoZFGH4ksFoCwoXVkrcvAQIECBAgQIAAAQIECBAgQIAAAQIrFRAwrFTOfQRqJDB1earyWqSuzV3htUg1QrUMAQIECBAgQIAAAQIECBAgQIAAAQJ1FxAw1J3YBgTuL1AOF/r7+qJ9fXscPXbs/hf6hgABAgQIECBAgAABAgQIECBAgAABAgkTEDAkbCDKyY/A4nDh27cPdi4UCvlpXqcECBAgQIAAAQIECBAgQIAAAQIECKReQMCQ+hFqII0C165ee//JBeFCGieoZgIECBAgQIAAAQIECBAgQIAAAQIEBAz+Bgg0WGD2xmw8+8zuaFrTFMKFBuPbjgABAgQIECBAgAABAgQIECBAgACBmgkIGGpGaSECDxYohwtbup+oXDg+cdFrkR5M5goCBAgQIECAAAECBAgQIECAAAECBBIqIGBI6GCUlT2B+fn5O8KF1nWt2WtSRwQIECBAgAABAgQIECBAgAABAgQI5EbgI7npVKMEVlGgVCpVzlxYuLUQ3730VggXVnEYtiZAgAABAgQIECBAgAABAgQIECBAoCYCnmCoCaNFCNxfoBwuPNnTEzPXZ2J4ZCTa2truf7FvCBAgQIAAAQIECBAgQIAAAQIECBAgkBIBAUNKBqXM9Ao88+Xd74cLnZs609uIygkQIECAAAECBAgQIECAAAECBAgQILBIQMCwCMOPBGotcPTwkbgyPR19/f0hXKi1rvUIECBAgAABAgQIECBAgAABAgQIEFhNAQHDaurbO9MC5XBh7MKF2Hb79UjP7Xku071qjgABAgQIECBAgAABAgQIECBAgACB/AkIGPI3cx03QGDq8lQlXOja3BWHjx5pwI62IECAAAECBAgQIECAAAECBAgQIECAQGMFBAyN9bZbDgTK4UJ/X1+0r2+Po8eO5aBjLRIgQIAAAQIECBAgQIAAAQIECBAgkEcBAUMep67nugnM3ph9P1z49u3XIxUKhbrtZWECBAgQIECAAAECBAgQIECAAAECBAispoCAYTX17Z0pgXK4sKX7iWha0xQnh04JFzI1Xc0QIECAAAECBAgQIECAAAECBAgQIHC3gIDhbhG/E1iBQKlUiqef2lW5c3ziYrSua13BKm4hQIAAAQIECBAgQIAAAQIECBAgQIBAegQ+kp5SVUogmQLlcOHJnp6YuzkXb4yNCReSOSZVESBAgAABAgQIECBAgAABAgQIECBQYwFPMNQY1HL5Ezh86FDMXJ+J4ZGR2PDohvwB6JgAAQIECBAgQIAAAQIECBAgQIAAgVwKCBhyOXZN10rg6OEjMXlpMvr6+6NzU2etlrUOAQIECBAgQIAAAQIECBAgQIAAAQIEEi8gYEj8iBSYVIGpy1MxduFCbLv9eqTn9jyX1DLVRYAAAQIECBAgQIAAAQIECBAgQIAAgboICBjqwmrRrAuUw4X+vr5oX98ee/btzXq7+iNAgAABAgQIECBAgAABAgQIECBAgMAHBAQMHyDxAYEPF5i9MRtfOfRitKxtiW/ffoKhUCh8+A2+JUCAAAECBAgQIECAAAECBAgQIECAQAYFBAwZHKqW6idQKpViS/cTlQ3OvfKqcKF+1FYmQIAAAQIECBAgQIAAAQIECBAgQCDhAh9JeH3KI5AYgXK48OTt8xYWbi3Edy+9Fa3rWhNTm0IIECBAgAABAgQIECBAgAABAgQIECDQaAFPMDRa3H6pFTh86FDMXJ+J4ZGRaGtrS20fCidAgAABAgQIECBAgAABAgQIECBAgEAtBAQMtVC0RuYFzp45G5OXJqOvvz86N3Vmvl8NEiBAgAABAgQIECBAgAABAgQIECBA4EECAoYHCfk+9wJTl6diZHg4ujZ3xXN7nsu9BwACBAgQIECAAAECBAgQIECAAAECBAiUBQQM/g4IfIjA7I3Z6O/ri/b17XH02LEPudJXBAgQIECAAAECBAgQIECAAAECBAgQyJeAgCFf89btMgTm5+djS/cT0bSmqXLuQqFQWMbdLiVAgAABAgQIECBAgAABAgQIECBAgEC2BT6S7fZ0R2BlAqVSqfLkwsKthfjB229Hc3PzyhZyFwECBAgQIECAAAECBAgQIECAAAECBDIq4AmGjA5WW9UJHD50KGauz1SeXGhd11rdYu4mQIAAAQIECBAgQIAAAQIECBAgQIBABgUEDBkcqpaqE3h9dDQmL03Gtp6e6NzUWd1i7iZAgAABAgQIECBAgAABAgQIECBAgEBGBQQMGR2stlYmcO3qtTh5YjA2dnTE4aNHVraIuwgQIECAAAECBAgQIECAAAECBAgQIJADAQFDDoasxaUJzN6YjWef2R0ta1vi69/8xtJuchUBAgQIECBAgAABAgQIECBAgAABAgRyKiBgyOngtX2nQPlQ56ef2lX58Nwrr0ahULjzAr8RIECAAAECBAgQIECAAAECBAgQIECAwB0CH7njN78QyKnAM1/eHXM35xzqnNP5a5sAAQIECBAgQIAAAQIECBAgQIAAgeULeIJh+WbuyJjA2TNn48r0dAwcPOBQ54zNVjsECBAgQIAAAQIECBAgQIAAAQIECNRPQMBQP1srp0CgfKjzyPBw5VDnHb29KahYiQQIECBAgAABAgQIECBAgAABAgQIEEiGgIAhGXNQxSoIONR5FdBtSYAAAQIECBAgQIAAAQIECBAgQIBAZgQEDJkZpUaWI1A+1Hnghf2VWxzqvBw51xIgQIAAAQIECBAgQIAAAQIECBAgQOAdAYc8+0vIpcDhQ4di5vqMQ51zOX1NEyBAgAABAgQIECBAgAABAgQIECBQCwFPMNRC0RqpEpgYn4jJS5PR19/vUOdUTU6xBAgQIECAAAECBAgQIECAAAECBAgkSUDAkKRpqKXuAsViMQ688EK0r2+P5/Y8V/f9bECAAAECBAgQIECAAAECBAgQIECAAIGsCggYsjpZfX1AoHzuQu/27dG0pim+feHCB773AQECBAgQIECAAAECBAgQIECAAAECBAgsXcAZDEu3cmXKBZ758u5YuLUQ3730VhQKhZR3o3wCBAgQIECAAAECBAgQIECAAAECBAisroAnGFbX3+4NEnh9dDSuTE/HwMED0dbW1qBdbUOAAAECBAgQIECAAAECBAgQIECAAIHsCggYsjtbnb0rcO3qtTh5YjA2dnTEjt5eLgQIECBAgAABAgQIECBAgAABAgQIECBQAwEBQw0QLZFcgfn5+Xj2md3RsrYlvv7NbyS3UJURIECAAAECBAgQIECAAAECBAgQIEAgZQLOYEjZwJS7PIH+vr7KuQvjExedu7A8OlcTIECAAAECBAgQIECAAAECBAgQIEDgQwU8wfChPL5Ms8DZM2dj5vpMDA4NReu61jS3onYCBAgQIECAAAECBAgQIECAAAECBAgkTkDAkLiRKKgWAsViMUaGh6Nrc1d0b+muxZLWIECAAAECBAgQIECAAAECBAgQIECAAIFFAgKGRRh+zIZAqVSK3u3bK+cuHD12LBtN6YIAAQIECBAgQIAAAQIECBAgQIAAAQIJE3AGQ8IGopzqBZ758u7KuQuj5887d6F6TisQIECAAAECBAgQIECAAAECBAgQIEDgngKeYLgniw/TKvD66GhcmZ6OgYMHoq2tLa1tqJsAAQIECBAgQIAAAQIECBAgQIAAAQKJFxAwJH5EClyqwOyN2Th5YjA2dnTEjt7epd7mOgIECBAgQIAAAQIECBAgQIAAAQIECBBYgYCAYQVobkmeQPnchaef2hVNa5ri+OCJ5BWoIgIECBAgQIAAAQIECBAgQIAAAQIECGRMwBkMGRtoXts5fOhQzN2cizfGxqK5uTmvDPomQIAAAQIECBAgQIAAAQIECBAgQIBAwwQ8wdAwahvVS2Dq8lRMXpqMvv7+2PDohnptY10CBAgQIECAAAECBAgQIECAAAECBAgQWCQgYFiE4cf0CczPz8dXDr0Y7evbY+eunelrQMUECBAgQIAAAQIECBAgQIAAAQIECBBIqYBXJKV0cMp+R+DFAwdj4dZCjE9cjEKhgIUAAQIECBAgQIAAAQIECBAgQIAAAQIEGiTgCYYGQdum9gKvj47GlenpGBwaitZ1rbXfwIoECBAgQIAAAQIECBAgQIAAAQIECBAgcF8BAcN9aXyRZIHZG7Nx8sRgbOzoiO4t3UkuVW0ECBAgQIAAAQIECBAgQIAAAQIECBDIpICAIZNjzXZTpVIpBl7YH01rmuL44IlsN6s7AgQIECBAgAABAgQIECBAgAABAgQIJFTAGQwJHYyy7i/w2quvxcz1mRgeGYnm5ub7X+gbAgQIECBAgAABAgQIECBAgAABAgQIEKibgCcY6kZr4XoIFIvFGBkejq7NXdG5qbMeW1iTAAECBAgQIECAAAECBAgQIECAAAECBJYgIGBYApJLkiFQfjXS83v3Vl6NdPTYsWQUpQoCBAgQIECAAAECBAgQIECAAAECBAjkVMArknI6+DS2XX410tzNuXhjbCwKhUIaW1AzAQIECBAgQIAAAQIECBAgQIAAAQIEMiPgCYbMjDLbjVy7eq3yaqRtPT2x4dEN2W5WdwQIECBAgAABAgQIECBAgAABAgQIEEiBgIAhBUPKe4nlVyM9+8zuaFnbEnv27c07h/4JECBAgAABAgQIECBAgAABAgQIECCQCAGvSErEGBTxYQKHDx2KhVsLMXr+vFcjfRiU7wgQIECAAAECBAgQIECAAAECBAgQINBAAU8wNBDbVssXKL8aafLSZPT190dbW9vyF3AHAQIECBAgQIAAAQIECBAgQIAAAQIECNRFQMBQF1aL1kKg/Gqkrx49Unk10s5dO2uxpDUIECBAgAABAgQIECBAgAABAgQIECBAoEYCXpFUI0jL1F7gtVdfi7mbc/HG2JhXI9We14oECBAgQIAAAQIECBAgQIAAAQIECBCoSsATDFXxubleAsViMUaGh6Nrc1dseHRDvbaxLgECBAgQIECAAAECBAgQIECAAAECBAisUEDAsEI4t9VPoPxqpOf37o2mNU1x9Nix+m1kZQIECBAgQIAAAQIECBAgQIAAAQIECBBYsYBXJK2Yzo31Ehh/802vRqoXrnUJECBAgAABAgQIECBAgAABAgQIECBQIwFPMNQI0jK1EZi9MRsnTwzGxo4Or0aqDalVCBAgQIAAAQIECBAgQIAAAQIECBAgUBcBAUNdWC26UoGBF/ZXXo10fPDESpdwHwECBAgQIECAAAECBAgQIECAAAECBAg0QEDA0ABkWyxNYGJ8Imauz8S+5/dHc3Pz0m5yFQECBAgQIECAAAECBAgQIECAAAECBAisioCAYVXYbXq3wPz8fJx+6VS0r2+P7i3dd3/tdwIECBAgQIAAAQIECBAgQIAAAQIECBBImIBDnhM2kLyWc/rUqVi4tRDjExfzSqBvAgQIECBAgAABAgQIECBAgAABAgQIpErAEwypGlc2i7129VpMXpqMvv7+aF3Xms0mdUWAAAECBAgQIECAAAECBAgQIECAAIGMCQgYMjbQtLVTKpXiq0ePRMvalti5a2faylcvAQIECBAgQIAAAQIECBAgQIAAAQIEcivgFUm5HX0yGh9/882YuzkXb4yNRaFQSEZRqiBAgAABAgQIECBAgAABAgQIECBAgACBBwp4guGBRC6ol0D5YOeTJwZjY0dHbHh0Q722sS4BAgQIECBAgAABAgQIECBAgAABAgQI1EFAwFAHVEsuTeDFAwcrFx4fPLG0G1xFgAABAgQIECBAgAABAgQIECBAgAABAokREDAkZhT5KqR8sPOV6ekYOHggmpub89W8bgkQIECAAAECBAgQIECAAAECBAgQIJABAQFDBoaYthYWH+y8ZevWtJWvXgIECBAgQIAAAQIECBAgQIAAAQIECBC4LeCQZ38GDRdwsHPDyW1IgAABAgQIECBAgAABAgQIECBAgACBmgt4gqHmpBb8MIHywc6vnDvnYOcPQ/IdAQIECBAgQIAAAQIECBAgQIAAAQIEUiAgYEjBkLJU4ulTp2Lh1kK8MDCQpbb0QoAAAQIECBAgQIAAAQIECBAgQIAAgdwJCBhyN/LVa7hYLMbkpcnY1tMTretaV68QOxMgQIAAAQIECBAgQIAAAQIECBAgQIBA1QIChqoJLbBUgZHhb0XTmqbYs2/vUm9xHQECBAgQIECAAAECBAgQIECAAAECBAgkVEDAkNDBZK2sqctTcWV6Op56+ukoFApZa08/BAgQIECAAAECBAgQIECAAAECBAgQyJ2AgCF3I298w6VSKV4+eyZa1rbEjt7exhdgRwIECBAgQIAAAQIECBAgQIAAAQIECBCoucBHar6iBQncJTD+5psxd3Mu3hgbu+sbvxIgQIAAAQIECBAgQIAAAQIECBAgQIBAWgU8wZDWyaWk7vLTC6+cOxcbOzpiw6MbUlK1MgkQIECAAAECBAgQIECAAAECBAgQIEDgQQIChgcJ+b4qgTOnvxYLtxair/9LVa3jZgIECBAgQIAAAQIECBAgQIAAAQIECBBIloCAIVnzyFQ18/PzMXbhQnRt7oq2trZM9aYZAgQIECBAgAABAgQIECBAgAABAgQI5F1AwJD3v4A69v/quVcqq+/bv7+Ou1iaAAECBAgQIECAAAECBAgQIECAAAECBFZDQMCwGuo52LNYLFaeXtjW0xPNzc056FiLBAgQIECAAAECBAgQIECAAAECBAgQyJeAgCFf825YtyPD34qmNU2xZ9/ehu1pIwIECBAgQIAAAQIECBAgQIAAAQIECBBonICAoXHWudmp/PTClenpeOrpp6NQKOSmb40SIECAAAECBAgQIECAAAECBAgQIEAgTwIChjxNu0G9vvf0wpatWxu0o20IECBAgAABAgQIECBAgAABAgQIECBAoNECAoZGi2d8P08vZHzA2iNAgAABAgQIECBAgAABAgQIECBAgMC7AgIGfwo1FRg8frxy9oKnF2rKajECBAgQIECAAAECBAgQIECAAAECBAgkTkDAkLiRpLegqctTMXN9xtkL6R2hygkQIECAAAECBAgQIECAAAECBAgQILBkAQHDkqlc+CCBl8+e8fTCg5B8T4AAAQIECBAgQIAAAQIECBAgQIAAgYwICBgyMsjVbqP89MLczTlPL6z2IOxPgAABAgQIECBAgAABAgQIECBAgACBBgkIGBoEnfVtPL2Q9QnrjwABAgQIECBAgAABAgQIECBAgAABAncKCBju9PDbCgSKxaKnF1bg5hYCBAgQIECAAAECBAgQIECAAAECBAikWUDAkObpJaT2keFvOXshIbNQBgECBAgQIECAAAECBAgQIECAAAECBBolIGBolHRG9yk/vXBletrZCxmdr7YIECBAgAABAgQIECBAgAABAgQIECBwPwEBw/1kfL4kAU8vLInJRQQIECBAgAABAgQIECBAgAABAgQIEMicgIAhcyNtXEOeXmictZ0IECBAgAABAgQIECBAgAABAgQIECCQNAEBQ9ImkqJ6/sXYmLMXUjQvpRIgQIAAAQIECBAgQIAAAQIECBAgQKCWAgKGWmrmaK35+fmYvDQZn/70Z6JQKOSoc60SIECAAAECBAgQIECAAAECBAgQIECAQFlAwODvYEUCr557pXLfrqefWtH9biJAgAABAgQIECBAgAABAgQIECBAgACBdAsIGNI9v1WpvlQqxdiFC7Gtpyeam5tXpQabEiBAgAABAgQIECBAgAABAgQIECBAgMDqCggYVtc/lbuPv/lmpe7PdH02lfUrmgABAgQIECBAgAABAgQIECBAgAABAgSqFxAwVG+YuxVeOXcuNnZ0RFtbW+561zABAgQIECBAgAABAgQIECBAgAABAgQIvCMgYPCXsCyBqctTsXBrIR7/3OeWdZ+LCRAgQIAAAQIECBAgQIAAAQIECBAgQCBbAgKGbM2z7t28fPZMtKxtic5NnXXfywYECBAgQIAAAQIECBAgQIAAAQIECBAgkFwBAUNyZ5O4yorFYszdnIsdvTsTV5uCCBAgQIAAAQIECBAgQIAAAQIECBAgQKCxAgKGxnqnerd/MTYWTWuaYtM/25TqPhRPgAABAgQIECBAgAABAgQIECBAgAABAtULCBiqN8zFCvPz8zF5aTI+/enPRKFQyEXPmiRAgAABAgQIECBAgAABAgQIECBAgACB+wsIGO5v45tFAt//wz+s/PbFf/7PF33qRwIECBAgQIAAAQIECBAgQIAAAQIECBDIq4CAIa+TX2bfr5w7Fxs7OqJ1Xesy73Q5AQIECBAgQIAAAQIECBAgQIAAAQIECGRRQMCQxanWuKepy1OxcGshHv/c52q8suUIECBAgAABAgQIECBAgAABAgQIECBAIK0CAoa0Tq6Bdb/1ve9VDnfu3NTZwF1tRYAAAQIECBAgQIAAAQIECBAgQIAAAQJJFhAwJHk6CaitfLjzlenp+MIXnb2QgHEogQABAgQIECBAgAABAgQIECBAgAABAokREDAkZhTJLORf/sG/rBT2hS9+IZkFqooAAQIECBAgQIAAAQIECBAgQIAAAQIEVkVAwLAq7OnZ9F9NXa4c7tzc3JyeolVKgAABAgQIECBAgAABAgQIECBAgAABAnUXEDDUnTi9G1y7ei3mbs453Dm9I1Q5AQIECBAgQIAAAQIECBAgQIAAAQIE6iYgYKgbbfoXnrz0VuVw50c/+Wj6m9EBAQIECBAgQIAAAQIECBAgQIAAAQIECNRUQMBQU87sLFYqlWLy0mR8+tOfiUKhkJ3GdEKAAAECBAgQIECAAAECBAgQIECAAAECNREQMNSEMXuLXP7+5UpTn+n6bPaa0xEBAgQIECBAgAABAgQIECBAgAABAgQIVC0gYKiaMJsLfPc7F6NlbUu0tbVls0FdESBAgAABAgQIECBAgAABAgQIECBAgEBVAgKGqviyefP8/HzMXJ+J3+3clM0GdUWAAAECBAgQIECAAAECBAgQIECAAAECVQsIGKomzN4CP/6jH1ea+sIXv5C95nREgAABAgQIECBAgAABAgQIECBAgAABAjUREDDUhDFbi7z9wx9WXo/U3NycrcZ0Q4AAAQIECBAgQIAAAQIECBAgQIAAAQI1ExAw1IwyGwuVSqW4Mj3t9UjZGKcuCBAgQIAAAQIECBAgQIAAAQIECBAgUDcBAUPdaNO5cHGmWCn8kUceSWcDqiZAgAABAgQIECBAgAABAgQIECBAgACBhggIGBrCnJ5Npn/0o0qxGx7dkJ6iVUqAAAECBAgQIECAAAECBAgQIECAAAECDRcQMDScPNkb/uQn12JjR0eyi1QdAQIECBAgQIAAAQIECBAgQIAAAQIECKy6gIBh1UeQnALm5+dj7uZcPPbbv52colRCgAABAgQIECBAgAABAgQIECBAgAABAokUEDAkciyrU9TM9ZnKxuvXr1+dAuxKgAABAgQIECBAgAABAgQIECBAgAABAqkREDCkZlT1L/RH/9Pb0bSmKVrXtdZ/MzsQIECAAAECBAgQIECAAAECBAgQIECAQKoFBAypHl9ti//xj38cn/zkJ2u7qNUIECBAgAABAgQIECBAgAABAgQIECBAIJMCAoZMjnX5Tc3emI2FWwvxW//0seXf7A4CBAgQIECAAAECBAgQIECAAAECBAgQyJ2AgCF3I793w9evX6980b6+/d4X+JQAAQIECBAgQIAAAQIECBAgQIAAAQIECCwSEDAswsjzj2//8IfRsrYlmpub88ygdwIECBAgQIAAAQIECBAgQIAAAQIECBBYooCAYYlQWb/syvR0/OZvbsh6m/ojQIAAAQIECBAgQIAAAQIECBAgQIAAgRoJCBhqBJnmZYrFYqX8Rz7xiTS3oXYCBAgQIECAAAECBAgQIECAAAECBAgQaKCAgKGB2End6vqf/mmlNOcvJHVC6iJAgAABAgQIECBAgAABAgQIECBAgEDyBAQMyZtJwyv66R//NMrhgvMXGk5vQwIECBAgQIAAAQIECBAgQIAAAQIECKRWQMCQ2tHVrvDy+Qu/8d/949otaCUCBAgQIECAAAECBAgQIECAAAECBAgQyLyAgCHzI/7wBt8/f+GRRz78Qt8SIECAAAECBAgQIECAAAECBAgQIECAAIFFAgKGRRh5/PG98xfa2tvy2L6eCRAgQIAAAQIECBAgQIAAAQIECBAgQGCFAgKGFcJl5bb3zl8oFApZaUkfBAgQIECAAAECBAgQIECAAAECBAgQINAAAQFDA5CTukWpVArnLyR1OuoiQIAAAQIECBAgQIAAAQIECBAgQIBAsgUEDMmeT12ru3HjRmX9R5y/UFdnixMgQIAAAQIECBAgQIAAAQIECBAgQCCLAgKGLE51iT05f2GJUC4jQIAAAQIECBAgQIAAAQIECBAgQIAAgQ8ICBg+QJKfD5y/kJ9Z65QAAQIECBAgQIAAAQIECBAgQIAAAQK1FhAw1Fo0Res5fyFFw1IqAQIECBAgQIAAAQIECBAgQIAAAQIEEiYgYEjYQBpVTrFYrGzl/IVGiduHAAECBAgQIECAAAECBAgQIECAAAEC2RIQMGRrnkvuxvkLS6ZyIQECBAgQIECAAAECBAgQIECAAAECBAjcQ0DAcA+UPHxUPn+hZW1LFAqFPLSrRwIECBAgQIAAAQIECBAgQIAAAQIECBCosYCAocagaVmufP7Cb/7mhrSUq04CBAgQIECAAAECBAgQIECAAAECBAgQSJiAgCFhA2lEOe+fv/CJTzRiO3sQIECAAAECBAgQIECAAAECBAgQIECAQAYFBAwZHOqDWnrv/IX29e0PutT3BAgQIECAAAECBAgQIECAAAECBAgQIEDgngIChnuyZPvD//kv/qJy/kJzc3O2G9UdAQIECBAgQIAAAQIECBAgQIAAAQIECNRNQMBQN9rkLvzjH/84Pv7xjye3QJURIECAAAECBAgQIECAAAECBAgQIECAQOIFBAyJH1FtC5y9MRsLtxbiE//o12u7sNUIECBAgAABAgQIECBAgAABAgQIECBAIFcCAoZcjTvir/7qryodr1+/Pmeda5cAAQIECBAgQIAAAQIECBAgQIAAAQIEaikgYKilZgrW+rd/8ifRtKYpWte1pqBaJRIgQIAAAQIECBAgQIAAAQIECBAgQIBAUgUEDEmdTJ3q+slPrsWv/VpbnVa3LAECBAgQIECAAAECBAgQIECAAAECBAjkRUDAkJdJ3+6zVCrF3M25+PXfcP5CjsauVQIECBAgQIAAAQIECBAgQIAAAQIECNRFQMBQF9ZkLlqcKVYKW/8P/2EyC1QVAQIECBAgQIAAAQIECBAgQIAAAQIECKRGQMCQmlFVX+hf/uX/Ullk3bp11S9mBQIECBAgQIAAAQIECBAgQIAAAQIECBDItYCAIUfj/+kf/zTa17dHoVDIUddaJUCAAAECBAgQIECAAAECBAgQIECAAIF6CAgY6qGa0DWvTE/H3/t7fz+h1SmLAAECBAgQIECAAAECBAgQIECAAAECBNIkIGBI07SqqHX2xmzl7kc+8YkqVnErAQIECBAgQIAAAQIECBAgQIAAAQIECBB4R0DAkJO/hOv/f3v3Hlx1fecN/FNjtkxLnGC2NUVQsrmAtnW4yA6VUS7aHXfrDnS99A9n1lWJ7mwvPrPK1hZla7dsrWinrd2dRXy8zXT61FgXps9Yny3SYus+rFzSgloCpLAWELRAtql9mMmTdnM5B4gkgeSXk3Py+70yw5yT3+/3vXxe35N/zpvf77tlS0+lDQ0NGalYmQQIECBAgAABAgQIECBAgAABAgQIECBQSAEBQyF1S6jvHT//eUw4d0LU1deV0KxMhQABAgQIECBAgAABAgQIECBAgAABAgTGqoCAYayu3BDn/cor22P69BlDbOVyAgQIECBAgAABAgQIECBAgAABAgQIECDQv4CAoX+XVB39zW9+E1u3bI05H5mTqroUQ4AAAQIECBAgQIAAAQIECBAgQIAAAQLFExAwFM9+1EbetWtXz1hTp04btTENRIAAAQIECBAgQIAAAQIECBAgQIAAAQLpFhAwpHt9e6rbsnlzz2t9Q30GqlUiAQIECBAgQIAAAQIECBAgQIAAAQIECIyGgIBhNJSLPMbPX3utZ4Pn6urqIs/E8AQIECBAgAABAgQIECBAgAABAgQIECCQFgEBQ1pWcpA6tm3bFvPmzRvkCqcIECBAgAABAgQIECBAgAABAgQIECBAgMDQBAQMQ/Mac1d3b/D8i9ZfxEUXXzzm5m7CBAgQIECAAAECBAgQIECAAAECBAgQIFC6AgKG0l2bEZlZfoPnWZdeOiL96YQAAQIECBAgQIAAAQIECBAgQIAAAQIECHQLCBhS/jk4vsFzvQ2eU77UyiNAgAABAgQIECBAgAABAgQIECBAgMCoCggYRpV79AfLb/A8fvz40R/ciAQIECBAgAABAgQIECBAgAABAgQIECCQWgEBQ2qXtrew7g2ep0+fkfIqlUeAAAECBAgQIECAAAECBAgQIECAAAECoy0gYBht8VEer3uD5zkfmTPKoxqOAAECBAgQIECAAAECBAgQIECAAAECBNIuIGBI8Qo3Nzf3VDd16rQUV6k0AgQIECBAgAABAgQIECBAgAABAgQIECiGgIChGOqjNObOlp09I33gAx8YpRENQ4AAAQIECBAgQIAAAQIECBAgQIAAAQJZERAwpHil9+/f31NdXX1diqtUGgECBAgQIECAAAECBAgQIECAAAECBAgUQ0DAUAz1URrztVdfjQULF47SaIYhQIAAAQIECBAgQIAAAQIECBAgQIAAgSwJCBhSvNo/XL8+Jk+enOIKlUaAAAECBAgQIECAAAECBAgQIECAAAECxRIQMBRLvsDjHjx4sGeEaRddVOCRdE+AAAECBAgQIECAAAECBAgQIECAAAECWRQQMKR01d94442eyhqmNqS0QmURIECAAAECBAgQIECAAAECBAgQIECAQDEFBAzF1C/g2Fs2b+7pvb6+voCj6JoAAQIECBAgQIAAAQIECBAgQIAAAQIEsiogYEjpyu/ftz8mnDshxo8fn9IKlUWAAAECBAgQIECAAAECBAgQIECAAAECxRQQMBRTv4Bj//KXv4zp02cUcARdEyBAgAABAgQIECBAgAABAgQIECBAgECWBQQMKV39H65fH5MnT05pdcoiQIAAAQIECBAgQIAAAQIECBAgQIAAgWILCBiKvQIFHP/8SecXsHddEyBAgAABAgQIECBAgAABAgQIECBAgECWBQQMKV79WZdemuLqlEaAAAECBAgQIECAAAECBAgQIECAAAECxRQQMBRTv8BjV4yvKPAIuidAgAABAgQIECBAgAABAgQIECBAgACBrAoIGFK88nX1dSmuTmkECBAgQIAAAQIECBAgQIAAAQIECBAgUEwBAUMx9Qs49oRzJxSwd10TIECAAAECBAgQIECAAAECBAgQIECAQNYFBAwp/QRMnz4jpZUpiwABAgQIECBAgAABAgQIECBAgAABAgRKQeDsUphE6ufQ1hzPNv0kXv7e6mja1n6i3Oor4/Zb58fsq66LBTXjThwfgXeTJ08egV50QYAAAQIECBAgQIAAAQIECBAgQIAAAQIE+hcQMPTvMkJHj8XeH3wl/sffPBHbO/rp8uALsWpF979VsXDZ12Jl46yo7Oey4Rw6f9L5w2mmDQECBAgQIECAAAECBAgQIECAAAECBAgQOCMBj0g6I6bhXNQZbeu/GDc2DhAu9OlyX6xfcXMsWb0jOvscH/4vFRXnDL+xlgQIECBAgAABAgQIECBAgAABAgQIECBA4DQCAobTAA37dOdP45Hlz8TBfAfll8T1yx6LF1r3ROve7n+b45mH/joWVpfnrmiP5ge+GmsPj0zE0DC1IT+yVwIECBAgQIAAAQIECBAgQIAAAQIECBAgMOICAoYRJ+3usDMOr1kVj+3LPRep+ppY+W/fifsbF8SUsvyAVTHj2s/Gv3z7S/HRfMjQsSm+/6ND+Qu8EiBAgAABAgQIECBAgAABAgQIECBAgACBkhUQMBRkaQ7Fhuc2RW+8UB6TPv5XsWiATZzLaq6NFUvnR+99DG3x4+c2xuERmFN9ff0I9KILAgQIECBAgAABAgQIECBAgAABAgQIECDQv4CAoX+XZEc734jdLW/n+qiJj/3JRXH8xoVTei6LqvlXx+W5JyV1vPh8bBiBxySNHz/+lJEcIECAAAECBAgQIECAAAECBAgQIECAQKkLtLS0xB/8wbtj6dKl0d7eXurTzfT8BAyFWP7Xt8a/5x+PNG56zP7QewYfpWpO/OkVlb3XdGyPl3/mj2ZwMGcJECBAgAABAgQIECBAgAABAgQIEEirwMSJE+OOOz4TX//6N+Liiz8YDz/8cFpLHfN1CRgKsIQde3bHrny/DXVRk9/HOX/slNf3xISqcbmjbbGj9c1TrnCAAAECBAgQIECAAAECBAgQIECAAAECWRCoqKiIlStXxksvvRRTpzbEnXfeFTNnzoxNmzZnofwxVaOAYcSXqzN+ffRo1zbPvT/jptXF+acd471RUz85d1VnHD3Sfrz9aZu6gAABAgQIECBAgAABAgQIECBAgAABAikUmD370li3bl08/fR34q23fhVz586Nxsbb4sCBAymsdmyWJGAY8XX7XbQfactt8DyczjviV4d/Hb8bTlNtCBAgQIAAAQIECBAgQIAAAQIECBAgkDKBxYsXx2uvvRrLly+PJ598MqZMqel5bJL9GYq/0AKG4q9B1wzOiopzK+O0T1IqibmaBAECBAgQIECAAAECBAgQIECAAAECBEZXoPuxSffcsyz27t0TixYt6nls0rx582LNmjWjOxGj9REQMPThKNYvZXHOhAlRVqzhjUuAAAECBAgQIECAAAECBAgQIECAAIExINC9AXRT09Px/PPf75ntDTd8Iq6//oZoaWkZA7NP3xQFDCWxpn33bSiJKZkEAQIECBAgQIAAAQIECBAgQIAAAQIESlRg4cKFsXXr1njooQdj48aN8eEPXxJLly4Nj00a3QUTMIyu9wCjJd23YYBuHSZAgAABAgQIECBAgAABAgQIECBAgECKBT796U/Hf/zHxrjpppvi61//Rlx88QfjqaeeSnHFpVWagGHE1yPpfgrl8YdV53TtyuCHAAECBAgQIECAAAECBAgQIECAAAECBE4n0P3YpNWrH4mXXnoppk5tiCVLGmPmzJmxadPm0zV1PqGA77ETAp7avO9+Csd27I79p170jiMdcfTIf+WOlcWEcyvsx/AOIb8SIECAAAECBAgQIECAAAECBAgQIEBgMIHZsy+NdevWxaOPro633vpVzJ07Nxobb4sDBw4M1sy5BAJnJ2ir6QAC5TV1Ud91bnv3+SNH4mhnxJRBd3Buiz0738z1VhnTat+fez/8l9opNcNvrCUBAgQIECBAgAABAgQIECBAgAABAgTGsMDZZ50V51SMjyeffLLnX/deDd2PU/IzsgLuYBhZz97eLpgZl00q732/b0tseb1j8FE634jdLW/nrpkcdTXvHfx6ZwkQIECAAAECBAgQIECAAAECBAgQIEBgQIH/39ERv/1/x3rOX3HF5TFnzkcGvNaJ4Qu4g2H4dgO3LKuN2ZdVxaqnD3ZdsyOeX9caNzdOG+CxR53RtuG7sXZfLoSYNCtmXZALJwYeYcAzrXv3DHjOCQIECBAgQIAAAQIECBAgQIAAAQIECKRZoPtxSH//91/ouWvhvPPOi4cf/kYsXrw4zSUXtTZ3MBSEvyJmXL0gqnv6bo/mB+6Lx1t707JThmtbH/d//pnojiIiymPSn18Vlwz6OKVTenCAAAECBAgQIECAAAECBAgQIECAAAECmRZob2/vChMejildj47vfizS8uXL47XXXhUuFPhTIWAoCHBZVM67NhblH5PUsTG+fPUn4u7VP4y9Xfsx9P4cjubvfiUar/5kNB3M3b1QPj/uWDJ9gDsd8u28EiBAgAABAgQIECBAgAABAgQIECBAgEBeYM2aNTFv3ry48867YtGiRbF9+7a4555lUVFRkb/Ea4EE3vX7rp/B+s5vFuzRO4Mp9Xeu69FH6++Nj93y7dzdCf1dc/Kxrrselj0d3xnwUUonX+s9AQIECBAgQIAAAQIECBAgQIAAAQIEsi3Q0tLSFSTcG2vXro0PfeiD8eCDD8bChQuzjTKC1Z9JNuAOhhEE79tV110MC++Mby77aO5RSX3P9v1tUixc9ng8Klzoy+I3AgQIECBAgAABAgQIECBAgAABAgQIvEOg+3FIX/rSivjwhy+JjRs3xkMPPRgbNmwQLrzDaTR+tclzQZWrYkbjI/HS9c3xbNNP4uXvrY6mbe0nRqy+Mm6/dX7Mvuq6WFAz7sRx7wgQIECAAAECBAgQIECAAAECBAgQIEDgFIGnnnoqli27Jw4dOhQ33XRT3HffF2LixImnXOfA6Ah4RNLoOBuFAAECBAgQIECAAAECBAgQIECAAAECBIYpsGnT5vjc5+6OF1/8cVxxxeXx5S/fH7NnXzrM3jQ7EwGPSDoTJdcQIECAAAECBAgQIECAAAECBAgQIECAQEkKHDhwIBobb4u5c+dGS8vOePTR1bFu3TrhQomslkcklchCmAYBAgQIECBAgAABAgQIECBAgAABAgQI9Ap077PwxBNPxAMPrOx5HNLy5cvjjjs+ExUVFYhKSEDAUEKLYSoECBAgQIAAAQIECBAgQIAAAQIECBDIukD3XQvXXHNNvPLKq7Fo0aKuDZ3/IaZOnZp1lpKsX8BQkstiUgQIECBAgAABAgQIECBAgAABAgQIEMiuQG1tXXTftbB48eLsIoyBygUMY2CRTJEAAQIECBAgQIAAAQIECBAgQIAAAQJZEZg4cWI0NT2dlXLHdJ1njenZmzwBAgQIECBAgAABAgQIECBAgAABAgQIECBQFAEBQ1HYDUqAAAECBAgQIECAAAECBAgQIECAAAECBMa2gIBhbK+f2RMgQIAAAQIECBAgQIAAAQIECBAgQIAAgaIICBiKwm5QAgQIECBAgAABAgQIECBAgAABAgQIEBiKQMf6z8YHp9REbde/abc+G4eH0vikazubvxLzcv3UTpkfd69/66Sz3g5FQMAwFC3XEiBAgAABAgQIECBAgAABAgQIECBAgEBRBMpr6qI+N3JHy654vXMY0+jcEY//w7diX65p+cwbo3He+4bRkSbdAmdjyIhAW3M82/STePl7q6NpW/uJoquvjNtvnR+zr7ouFtSMO3HcOwIECBAgQIAAAQIECBAgQIAAAQIECJSSwKS6mNb1Feb2Y12TOtQae9o6Y0ZV2RBm2BltG56Kx7fmvx9tiFvuvTFqh9LFEEbLwqXuYEj9Kh+LvT+4LxbP/otYuuKrfcOF7toPvhCrVtwbSxZ8NBpXb4m21HsokAABAgQIECBAgAABAgQIECBAgACBMSlQPjX+eG5l79Q7tsfLP8sHBWdYTedP45Hlz8TBnsvLo/qGu+K2Ge85w8Yu609AwNCfSmqOdSVy678YNzY+Eds7TlfUvli/4uZYsnpHDOfOotP17jwBAgQIECBAgAABAgQIECBAgAABAgSSCVRGTcP7c120xY7WN4fQ3bFofezBeGxf7ovS8llx8+2XRy6uGEI/Lj1ZQMBwskba3vdJ5LqKK78krl/2WLzQuida93b/2xzPPPTXsbC6PFd5ezQ/8NVYe1jEkLaPgnoIECBAgAABAgQIECBAgAABAgQIjH2Bd8cFdRdG77eZx2LXrv1x2v9XnS+67cex+n9uyV1fHpOW3BU313pkfJ5nuK8ChuHKlXy7zji8ZtWJRK76mlj5b9+J+xsXxJTjzxSrihnXfjb+5dtfio/mQ4aOTfH9Hx0q+epMkAABAgQIECBAgAABAgQIECBAgACBrAmUReUf1cZ5ubKP7dgd+8+I4LfRvOrBaDqYiyOqr4sv3D49jn9NekZ9uKg/AQFDfyqpOHYoNjy36UQi9/G/ikUDbOJcVnNtrFg6P5f8tcWPn9sYh1NhoAgCBAgQIECAAAECBAgQIECAAAECBNIkUHZBfTTkH8iyc3fsOYNbGDpbvxUrHt2ZY6iIGbf+ZVxRKV4Yic+FgGEkFEuxj843YnfL27mZ1cTH/uSiQRK5sqiaf3VcnvvD7Hjx+djgMUmluKrmRIAAAQIECBAgQIAAAQIECBAgQCDbApUXRv15uS8yj/00Nr3y29N4vBUvrvpWNOeDiEk3xrJbpg3yXelpunO6j4CAoQ9Hin55fWv8e37DknHTY/aHTrMbetWc+NMrEuzAniI6pRAgQIAAAQIECBAgQIAAAQIECBAgUKICZbUx+7Kq3OTejF2/aBt0op2ta+Kf/vU/c9dcGNd/8ZaY4eaFQc2GclLAMBStMXRtx57dsSs/34a6qMnfNpQ/dsrre2JCVX5Tk6HuwH5KZw4QIECAAAECBAgQIECAAAECBAgQIECgAALvjZr6ybl+346du9+IzgFHORBr//Gfj9+9UD7zxmic974Br3Zi6AIChqGbjYEWnfHro0eP/2GNm1YX55921if/YXbG0SPtx9uftqkLCBAgQIAAAQIECBAgQIAAAQIECBAgMCoC5XF+bU30/lfpjji08z+j/3sYOqNt/TfjoRfyZxvilntvjFp3L4zoKgkYRpSzVDr7XbQfactt8DycOXXErw7/On43nKbaECBAgAABAgQIECBAgAABAgQIECBAoIAC5TV1UZ/rv6NlV7ze3y0MnbvimW/+7zjYc115VN9wV9w24zSPkS/gnNPatYAhrSs75LrOiopzK+O0T1Iacr8aECBAgAABAgQIECBAgAABAgQIECBAYAQFJtXFtPzT3g+1xp62dyYMnXF4zVfjwa3tvYOWz4qbb788cjvQjuBEdCVg8BnICZTFORMm2D3d54EAAQIECBAgQIAAAQIECBAgQIAAgdIWKJ8afzw3Fxd0bI+Xf5YLEvKzblsfK1f+KPeEl/KYtOSuuLk2n0jkL/I6EgIChpFQTEUfffdtSEVJiiBAgAABAgQIECBAgAABAgQIECBAIIUClVHT8P5cXW2xo/XNk2o8Fq1Nj8Wagx29x6qviy/cPt1/rD5JaCTfChhGUnNM95V0358z7FEAAA14SURBVIYxXbzJEyBAgAABAgQIECBAgAABAgQIECAwZgTeHRfUXZh73Pux2LVr/4n9aA8/F/c/sDH3e0XMuPUv44pKOzsXamkFDIWSLWq/SfdTKI8/rDonfDiKuogGJ0CAAAECBAgQIECAAAECBAgQIECgX4GyqPyj2jgvd+7Yjt2xv+f9b6P50VWxPnfzQlRfE5+8vt7dC/0ajsxB3yGPjGOJ9dJ3P4UTf2CDTbMjjh75r9wFZTHh3Ap/eINxOUeAAAECBAgQIECAAAECBAgQIECAQNEEyi6oj4by3PA7d8ee7lDh8PPxz4/uzB2sjIVLPxUL3L1Q0DUSMBSUt3idl9fURX1++CNH4ug7N1LPnzv+2hZ7duafVVYZ02rzzzA7foE3BAgQIECAAAECBAgQIECAAAECBAgQKA2Byguj/rxcwnBsT7Tua+tz90L5zL+JuxdPLI25pngWAoa0Lu4FM+OySbk/sH1bYsvr+fuCBii4843Y3fJ27uTkqKt57wAXOkyAAAECBAgQIECAAAECBAgQIECAAIEiC5R9IOqm5r/D/GXs+D+rYsXxuxcujMWfWhy1tl4o+CIJGApOXKQBympj9mVVucF3xPPrWmPgmxg6o23Dd2PtvlwIMWlWzLogf39RkeZvWAIECBAgQIAAAQIECBAgQIAAAQIECAwo8L6YOSf/DJe2+L9P/K9ozn29WX7lZ2LpwvcN2NKJkRMQMIycZYn11LVD+tULorpnVu3R/MB98Xjrsf7n2LY+7v/8M3Gw52x5TPrzq+IS6V7/Vo4SIECAAAECBAgQIECAAAECBAgQIFACAuVxfm1NjOuZybE4eLCtd07lc+Kuz/9Z5P/rdQlMNNVTEDCkdnm7dlKfd20syj8mqWNjfPnqT8Tdq38Ye4/fynA4mr/7lWi8+pPRdDAf782PO5ZMt8Fzaj8XCiNAgAABAgQIECBAgAABAgQIECCQDoE++9D2lFQe1R+/Ja6r7Y0d0lFlaVdxdmlPz+wSCZRNj9u+eF2sveXbvXcndGyLphW3dP0bqNeuux7+7m9jUZXbFwYScpwAAQIECBAgQIAAAQIECBAgQIAAgRIRmFQX07qyhO35B7eUz487P7swKktkelmYxrt+3/UzWKG1U2p6Trfu3TPYZc6VrEDXXQqrPxefWvGD3COQBpropFi47GuxsnGWP8CBiBwnQIAAAQIECBAgQIAAAQIECBAgQIBARgTOJBtwB0PqPwxVMaPxkXjp+uZ4tukn8fL3VkfTtvYTVVdfGbffOj9mX3VdLKhx69AJGO8IECBAgAABAgQIECBAgAABAgQIECBAYDABdzAMpuMcAQIECBAgQIAAAQIECBAgQIAAAQIECBDIoMCZ3MFgk+cMfjCUTIAAAQIECBAgQIAAAQIECBAgQIAAAQIEkgoIGJIKak+AAAECBAgQIECAAAECBAgQIECAAAECBDIoIGDI4KIrmQABAgQIECBAgAABAgQIECBAgAABAgQIJBUQMCQV1J4AAQIECBAgQIAAAQIECBAgQIAAAQIECGRQQMCQwUVXMgECBAgQIECAAAECBAgQIECAAAECBAgQSCogYEgqqD0BAgQIECBAgAABAgQIECBAgAABAgQIEMiggIAhg4uuZAIECBAgQIAAAQIECBAgQIAAAQIECBAgkFRAwJBUUHsCBAgQIECAAAECBAgQIECAAAECBAgQIJBBAQFDBhddyQQIECBAgAABAgQIECBAgAABAgQIECBAIKmAgCGpoPYECBAgQIAAAQIECBAgQIAAAQIECBAgQCCDAgKGDC66kgkQIECAAAECBAgQIECAAAECBAgQIECAQFIBAUNSQe0JECBAgAABAgQIECBAgAABAgQIECBAgEAGBQQMGVx0JRMgQIAAAQIECBAgQIAAAQIECBAgQIAAgaQCAoakgtoTIECAAAECBAgQIECAAAECBAgQIECAAIEMCggYMrjoSiZAgAABAgQIECBAgAABAgQIECBAgAABAkkFBAxJBbUnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIZFBAwZHDRlUyAAAECBAgQIECAAAECBAgQIECAAAECBJIKCBiSCmpPgAABAgQIECBAgAABAgQIECBAgAABAgQyKCBgyOCiK5kAAQIECBAgQIAAAQIECBAgQIAAAQIECCQVEDAkFdSeAAECBAgQIECAAAECBAgQIECAAAECBAhkUEDAkMFFVzIBAgQIECBAgAABAgQIECBAgAABAgQIEEgqIGBIKqg9AQIECBAgQIAAAQIECBAgQIAAAQIECBDIoICAIYOLrmQCBAgQIECAAAECBAgQIECAAAECBAgQIJBUQMCQVFB7AgQIECBAgAABAgQIECBAgAABAgQIECCQQQEBQwYXXckECBAgQIAAAQIECBAgQIAAAQIECBAgQCCpgIAhqaD2BAgQIECAAAECBAgQIECAAAECBAgQIEAggwIChgwuupIJECBAgAABAgQIECBAgAABAgQIECBAgEBSAQFDUkHtCRAgQIAAAQIECBAgQIAAAQIECBAgQIBABgUEDBlcdCUTIECAAAECBAgQIECAAAECBAgQIECAAIGkAgKGpILaEyBAgAABAgQIECBAgAABAgQIECBAgACBDAoIGDK46EomQIAAAQIECBAgQIAAAQIECBAgQIAAAQJJBQQMSQW1J0CAAAECBAgQIECAAAECBAgQIECAAAECGRQQMGRw0ZVMgAABAgQIECBAgAABAgQIECBAgAABAgSSCggYkgpqT4AAAQIECBAgQIAAAQIECBAgQIAAAQIEMiggYMjgoiuZAAECBAgQIECAAAECBAgQIECAAAECBAgkFRAwJBXUngABAgQIECBAgAABAgQIECBAgAABAgQIZFBAwJDBRVcyAQIECBAgQIAAAQIECBAgQIAAAQIECBBIKiBgSCqoPQECBAgQIECAAAECBAgQIECAAAECBAgQyKCAgCGDi65kAgQIECBAgAABAgQIECBAgAABAgQIECCQVEDAkFRQewIECBAgQIAAAQIECBAgQIAAAQIECBAgkEEBAUMGF13JBAgQIECAAAECBAgQIECAAAECBAgQIEAgqYCAIamg9gQIECBAgAABAgQIECBAgAABAgQIECBAIIMCAoYMLrqSCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAUgEBQ1JB7QkQIECAAAECBAgQIECAAAECBAgQIECAQAYFBAwZXHQlEyBAgAABAgQIECBAgAABAgQIECBAgACBpAIChqSC2hMgQIAAAQIECBAgQIAAAQIECBAgQIAAgQwKCBgyuOhKJkCAAAECBAgQIECAAAECBAgQIECAAAECSQUEDEkFtSdAgAABAgQIECBAgAABAgQIECBAgAABAhkUEDBkcNGVTIAAAQIECBAgQIAAAQIECBAgQIAAAQIEkgoIGJIKak+AAAECBAgQIECAAAECBAgQIECAAAECBDIoIGDI4KIrmQABAgQIECBAgAABAgQIECBAgAABAgQIJBUQMCQV1J4AAQIECBAgQIAAAQIECBAgQIAAAQIECGRQQMCQwUVXMgECBAgQIECAAAECBAgQIECAAAECBAgQSCogYEgqqD0BAgQIECBAgAABAgQIECBAgAABAgQIEMiggIAhg4uuZAIECBAgQIAAAQIECBAgQIAAAQIECBAgkFRAwJBUUHsCBAgQIECAAAECBAgQIECAAAECBAgQIJBBAQFDBhddyQQIECBAgAABAgQIECBAgAABAgQIECBAIKmAgCGpoPYECBAgQIAAAQIECBAgQIAAAQIECBAgQCCDAgKGDC66kgkQIECAAAECBAgQIECAAAECBAgQIECAQFIBAUNSQe0JECBAgAABAgQIECBAgAABAgQIECBAgEAGBQQMGVx0JRMgQIAAAQIECBAgQIAAAQIECBAgQIAAgaQCAoakgtoTIECAAAECBAgQIECAAAECBAgQIECAAIEMCggYMrjoSiZAgAABAgQIECBAgAABAgQIECBAgAABAkkFBAxJBbUnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIZFBAwZHDRlUyAAAECBAgQIECAAAECBAgQIECAAAECBJIKCBiSCmpPgAABAgQIECBAgAABAgQIECBAgAABAgQyKCBgyOCiK5kAAQIECBAgQIAAAQIECBAgQIAAAQIECCQVOPtMO6idUnOml7qOAAECBAgQIECAAAECBAgQIECAAAECBAgQSLmAOxhSvsDKI0CAAAECBAgQIECAAAECBAgQIECAAAEChRB41++7fgrRsT4JECBAgAABAgQIECBAgAABAgQIECBAgACB9Aq4gyG9a6syAgQIECBAgAABAgQIECBAgAABAgQIECBQMAEBQ8FodUyAAAECBAgQIECAAAECBAgQIECAAAECBNIrIGBI79qqjAABAgQIECBAgAABAgQIECBAgAABAgQIFExAwFAwWh0TIECAAAECBAgQIECAAAECBAgQIECAAIH0CggY0ru2KiNAgAABAgQIECBAgAABAgQIECBAgAABAgUTEDAUjFbHBAgQIECAAAECBAgQIECAAAECBAgQIEAgvQL/DY3PbN/q9AI4AAAAAElFTkSuQmCC" alt></p>
<p>On the graph, sketch a line to show the variation with <em>V</em> of <em>v</em> according to relativistic mechanics.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>An observer on Earth watches two rockets, A and B. The spacetime diagram shows part of the motion of A and B in the reference frame of the Earth observer. A and B are travelling in the same direction.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the reference frame of the Earth observer, calculate the speed of rocket A in terms of the speed of light <em>c</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One rocket passes the other at event E. For the reference frame of the Earth observer, estimate</p>
<p>(i) the space coordinate of E, in kilometres.</p>
<p>(ii) the time coordinate of E, in seconds.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Three flashing light beacons, X, Y and Z, are used to guide another rocket C. The flash events are shown on the spacetime diagram. The diagram shows the axes for the reference frames of Earth and of rocket C. The Earth observer is at the origin.</p>
<p><img 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" alt></p>
<p>Using the graph opposite, deduce the order in which</p>
<p>(i) the beacons <strong>flash</strong> in the reference frame of rocket C.</p>
<p>(ii) the Earth observer <strong>sees</strong> the beacons flash.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br>