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</div><h2>SL Paper 2</h2><div class="specification">
<p class="p1">This question is about gravitation and uniform circular motion.</p>
<p class="p1">Phobos, a moon of Mars, has an orbital period of 7.7 hours and an orbital radius of \(9.4 \times {10^3}{\text{ km}}\)<span class="s1">.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why Phobos moves with uniform circular motion.</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">Show that the orbital speed of Phobos is about \({\text{2 km}}\,{{\text{s}}^{ - 1}}\).</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 class="p1">Deduce the mass of Mars.</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 in <strong>two </strong>parts. <strong>Part 1 </strong>is about a simple pendulum. <strong>Part 2 </strong>is about the Rutherford model of the atom.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Simple pendulum</p>
</div>
<div class="specification">
<p class="p1">A pendulum consists of a bob suspended by a light inextensible string from a rigid support. The pendulum bob is moved to one side and then released. The sketch graph shows how the displacement of the pendulum bob undergoing simple harmonic motion varies with time over one time period.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_17.23.17.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B1.Part1.a"></p>
<p class="p1">On the sketch graph above,</p>
</div>
<div class="specification">
<p class="p1">A pendulum bob is moved to one side until its centre is 25 mm above its rest position and then released.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_17.28.30.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B1.Part1.c"></p>
</div>
<div class="specification">
<p class="p1">The point of suspension of a pendulum bob is moved from side to side with a small amplitude and at a variable driving frequency \(f\).</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_17.33.24.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B1.Part1.d"></p>
<p class="p1">For each value of the driving frequency a steady constant amplitude \(A\) is reached. The oscillations of the pendulum bob are lightly damped.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Rutherford model of the atom</p>
</div>
<div class="specification">
<p class="p1">The isotope gold-197 \(\left( {_{\;79}^{197}Au} \right)\) is stable but the isotope gold-199 \(\left( {_{\;79}^{199}Au} \right)\) is not.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>label with the letter A a point at which the acceleration of the pendulum bob is a maximum.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>label with the letter V a point at which the speed of the pendulum bob is a maximum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain why the magnitude of the tension in the string at the midpoint of the oscillation is greater than the weight of the pendulum bob.</p>
<div class="marks">[3]</div>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Show that the speed of the pendulum bob at the midpoint of the oscillation is \({\text{0.70 m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The mass of the pendulum bob is 0.057 kg. The centre of the pendulum bob is 0.80 m below the support. Calculate the magnitude of the tension in the string when the pendulum bob is vertically below the point of suspension.</p>
<div class="marks">[5]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>On the axes below, sketch a graph to show the variation of \(A\) with \(f\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_06.33.19.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B1.Part1.d.i"></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Explain, with reference to the graph in (d)(i), what is meant by resonance.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part1.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The pendulum bob is now immersed in water and the variable frequency driving force in (d) is again applied. Suggest the effect this immersion of the pendulum bob will have on the shape of your graph in (d)(i).</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part1.e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Most alpha particles used to bombard a thin gold foil pass through the foil without a significant change in direction. A few alpha particles are deviated from their original direction through angles greater than <span class="s1">90°</span>. Use these observations to describe the Rutherford atomic model.</p>
<div class="marks">[5]</div>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Outline, in terms of the forces acting between nucleons, why, for large stable nuclei such as gold-197, the number of neutrons exceeds the number of protons.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>A nucleus of \(_{\;{\text{79}}}^{{\text{199}}}{\text{Au}}\) decays to a nucleus of \(_{\;{\text{80}}}^{{\text{199}}}{\text{Hg}}\) with the emission of an electron and another particle. State the name of this other particle.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Gravitational fields and electric fields</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The magnitude of gravitational field strength <em>g</em> is defined from the equation shown below.</p>
<p>\[g = \frac{{{F_g}}}{m}\]</p>
<p>The magnitude of electric field strength <em>E</em> is defined from the equation shown below.</p>
<p>\[E = \frac{{{F_E}}}{q}\]</p>
<p>For each of these defining equations, state the meaning of the symbols</p>
<p>(i) <em>F</em><sub>g</sub>.</p>
<p>(ii) <em>F</em><sub>E</sub>.</p>
<p>(iii) <em>m</em>.</p>
<p>(iv) <em>q</em>.</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>In a simple model of the hydrogen atom, the electron is regarded as being in a circular orbit about the proton. The magnitude of the electric field strength at the electron due to the proton is <em>E</em><sub>p</sub>. The magnitude of the gravitational field strength at the electron due to the proton is <em>g</em><sub>p</sub>.</p>
<p>(i) Draw the electric field pattern of the proton alone.</p>
<p>(ii) Determine the order of magnitude of the ratio shown below.</p>
<p>\[\frac{{{E_p}}}{{{g_p}}}\]</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>An electron moves in circular motion in a uniform magnetic field.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-10_om_18.05.11.png" alt="M18/4/PHYSI/SP2/ENG/TZ1/05"></p>
<p>The velocity of the electron at point P is 6.8 × 10<sup>5</sup> m s<sup>–1</sup> in the direction shown.</p>
<p>The magnitude of the magnetic field is 8.5 T.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the direction of the magnetic field.</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>Calculate, in N, the magnitude of the magnetic force acting on the electron.</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>Explain why the electron moves at constant speed.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why the electron moves on a circular path.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A small ball of mass <em>m </em>is moving in a horizontal circle on the inside surface of a frictionless hemispherical bowl.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_12.45.38.png" alt="M18/4/PHYSI/SP2/ENG/TZ2/01.a"></p>
<p>The normal reaction force <em>N </em>makes an angle <em>θ</em> to the horizontal.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the direction of the resultant force on the ball.</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>On the diagram, construct an arrow of the correct length to represent the weight of the ball.</p>
<p><img src="data:image/png;base64,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"></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>Show that the magnitude of the net force <em>F </em>on the ball is given by the following equation.</p>
<p> \[F = \frac{{mg}}{{\tan \theta }}\]</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The radius of the bowl is 8.0 m and <em>θ</em> = 22°. Determine the speed of the ball.</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>Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.</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>A second identical ball is placed at the bottom of the bowl and the first ball is displaced so that its height from the horizontal is equal to 8.0 m.</p>
<p> <img src="images/Schermafbeelding_2018-08-12_om_13.41.19.png" alt="M18/4/PHYSI/SP2/ENG/TZ2/01.d"></p>
<p>The first ball is released and eventually strikes the second ball. The two balls remain in contact. Determine, in m, the maximum height reached by the two balls.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the motion of a car. <strong>Part 2 </strong>is about electricity.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1</strong> Motion of a car</p>
</div>
<div class="specification">
<p class="p1">A car is travelling along the straight horizontal road at its maximum speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\). The power output required at the wheels is 0.13 MW.</p>
</div>
<div class="specification">
<p class="p1">A driver moves the car in a horizontal circular path of radius 200 m. Each of the four tyres will not grip the road if the frictional force between a tyre and the road becomes less than 1500 N.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Electricity</p>
</div>
<div class="specification">
<p class="p1">A lemon can be used to make an electric cell by pushing a copper rod and a zinc rod into the lemon.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-08_om_17.27.58.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/06_Part2.d"></p>
<p class="p1">A student constructs a lemon cell and connects it in an electrical circuit with a variable resistor. The student measures the potential difference <em>V </em>across the lemon and the current <em>I </em>in the lemon.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A car accelerates uniformly along a straight horizontal road from an initial speed of \({\text{12 m}}\,{{\text{s}}^{ - 1}}\) to a final speed of \({\text{28 m}}\,{{\text{s}}^{ - 1}}\) in a distance of 250 m. The mass of the car is 1200 kg. Determine the rate at which the engine is supplying kinetic energy to the car as it accelerates.</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">A car is travelling along a straight horizontal road at its maximum speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\). The power output required at the wheels is 0.13 MW.</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Calculate the total resistive force acting on the car when it is travelling at a constant speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p2">(ii) <span class="Apple-converted-space"> </span>The mass of the car is 1200 kg. The resistive force \(F\) is related to the speed \(v\) by \(F \propto {v^2}\). Using your answer to (b)(i), determine the maximum theoretical acceleration of the car at a speed of \({\text{28 m}}\,{{\text{s}}^{ - 1}}\).</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">(i) Calculate the maximum speed of the car at which it can continue to move in the circular path. Assume that the radius of the path is the same for each tyre.</p>
<p class="p1">(ii) While the car is travelling around the circle, the people in the car have the sensation that they are being thrown outwards. Outline how Newton’s first law of motion accounts for this sensation.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Draw a circuit diagram of the experimental arrangement that will enable the student to collect the data for the graph.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the potential difference \(V\) across the lemon is given by</p>
<p class="p1">\[V = E - Ir\]</p>
<p class="p1">where \(E\) is the emf of the lemon cell and \(r\) is the internal resistance of the lemon cell.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>The graph shows how \(V\) varies with \(I\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_09.50.40.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/06_Part2.d.iii"></p>
<p class="p2">Using the graph, estimate the emf of the lemon cell.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>Determine the internal resistance of the lemon cell.</p>
<p class="p2">(v) <span class="Apple-converted-space"> </span>The lemon cell is used to supply energy to a digital clock that requires a current of \({\text{6.0 }}\mu {\text{A}}\). The clock runs for 16 hours. Calculate the charge that flows through the clock in this time.</p>
<div class="marks">[10]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The two arrows in the diagram show the gravitational field strength vectors at the position of a planet due to each of two stars of equal mass <em>M</em>.</p>
<p><img 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" alt></p>
<p>Each star has mass <em>M</em>=2.0×10<sup>30</sup>kg. The planet is at a distance of 6.0×10<sup>11</sup>m from each star.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the gravitational field strength at the position of the planet due to <strong>one</strong> of the stars is <em>g</em>=3.7×10<sup>–4</sup>Nkg<sup>–1</sup>.</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>Calculate the magnitude of the resultant gravitational field strength at the position of the planet.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define<em> gravitational field strength.</em></p>
<p>(ii) State the SI unit for gravitational field strength.</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 planet orbits the Sun in a circular orbit with orbital period <em>T</em> and orbital radius <em>R</em>. The mass of the Sun is <em>M</em>.</p>
<p>(i) Show that \(T = \sqrt {\frac{{4{\pi ^2}{R^3}}}{{GM}}} \).</p>
<p>(ii) The Earth’s orbit around the Sun is almost circular with radius 1.5×10<sup>11</sup> m. Estimate the mass of the Sun.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A satellite powered by solar cells directed towards the Sun is in a polar orbit about the Earth.</p>
<p style="text-align: center;"><img 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/bsKW3b1pun0+ncRM+i7mPCqImXTU8EFy2Yr3bJGmHaHUyn1UfM5l6R5towBl40O4TB5byvBL9YocmJH3v27JVFn3ya0KEIrohW4tixo0I0UNRu/GbnK7sDaGeQkZ2ZKGIlpJzi4hKlh9bPlpWXS7vj8jXXmATyQp3YuZMMHzEq6QuI7O81odvGqcqOhoRgk2GgJiV+rF23Qdatb7gVBABG78uxtqZGqj2a/FkNJoDWmhTub960qZFBBv0xlkL9BeGlwnpInRMR6QcZxJdEad26N3RIvtKQWOWHGo8vYRjWSTYJ8QMgLFq8pAGgEUG2bt2q1HKomfbu3esroBl4o3hx5PDhRoAmDeDV+zK+/tqrKvgM3DoZod7T8niytG7dh2Eg1llNook5wkqcMFDkQU0HM2PnE6mppKRYAdqq83UaP461Bw9KaWmpEj0S6bzRyKxYvlzmz31PefrB8fr27ZuwirilBkHsrw6w0fNrgmkEbRrXdeEYaZmaDp6/8KMG8jOARgcdFLXPyZGTcnMF7UZFZaUytCTTRfPyvfry36Rnbq/YahENbHxBkokiuq24viJiHT5yWGoO1KhY1UxAieTvJrEAYtEnS5Tqb/SoESqQ+0233Cx+bVSUrC2RBXVBQaGsWMXM/Av3T1acBAVoTOD5Q4Yorqw7nW2eO3fuJJs2bhK4djw6dvSIVFdWynXTb2yQRGtr2GiIOYGRsrJaGH+qc+RzgF1RUakmvHopGf7V3Xv0ELe5O5NItCQ/eeDHcqLLL06jxjm4EMmJIoBe+lnDbdQY9ESfeAd9EksKt23Ttq0yT+uL+FAjKxtBCqCHjxiuTOE6nfEIANeuWWtpGsfnuX37Dspkn5PT3lJORsuB+yuGF02Y8zHAWBGaHLh/VosWcuToUQXmDh66nP6/+34g06ZNk9vuCCYkgrkPIgdqK0DTqMKCAvW5Nzcwnd8YN1DFWRGg2b59uwDoocOGKd9rq3T6GhPFDRs36p+x46aNG6R37z5KtcdL1Kdv37iWQvTSLCWjbFxT7UwoYwV5eIKIlJ9/spwx9bSYFsfD4pJmHcxsI2m1rBPEAzSaDeRXt8mOzhoNBMBORtmtWgnytpEKtm+TBe/PlR07itRlDDJ8bTBiWBF67Ly8PDWJ9JLzWpWd6BovV/385mNX9fyJykx0L/loJHrax3vMts0iB8XDtYyfZTerhCxrRcim2nsOIK5evVrgxMmo/4AvllXxwiyc94GyHA4+Ob/Bo5jLeVGtiJcIWdsrbz2rMu1eCwuwIwFqOmvpZ5836luAgTrJK+KFQSWH9gHPPk2IAMZVLTj/I1qsX7dOcdnsOLvLsjwMZypo+7atcrC2Vm1ZofM1HnlRCZLuh9XQWG6652EAduhlaoBbr/BvOPun872QoxMNKoDEAw2gJyNkXgwkZtKyNSvQmfzl9uplTtLgNxZJLzzyGhTiwQ/ceZGxg6DQg/rduR8onwkcjIwqKT7PVmIH8h2qNMzIfuusmegBUh06AbnXLJfDrZctXaomhnYHHFUd7ULsiBLl9e2jQjX4Xecvvql+l2yjvLdm/UuWLlkqRYWFDRyB0AKYAd2lc2cZOHCg0gpoP4q2bd31N05UZQCMK6l2bW3Tpo1UV1cpULfKzlYvJObwhQsWyEvPPSvE8LBLiD+J5Gy7+fidrqCwSJjc+02hNb7gnLR3X5laGoTMqidGyJjImpoAcPfu3ZVrqb6mjzzDfTO31PfdPOLoz9eDuhw6dFAKthc0kLt1WfPee1fpvjt2ql8prq/bOfIiI4f3POkkS322nTy8TlM/cd8lubm91AvO5J4vJyHT/KJQih/btxfIss/rd5cydwSAxmUT6ta1q3Tr3j3hANPJ+8vL1YJXc15+/0aFN/edf6kIS3n9nMfw0PXFeocpXn+R9PWgj3xB8TCEqBv+K3y5WHBw7tln+lbfUIofn69YZTk+mMEBNJOnAQMG2OJYpE02GbMszKOLJw8bLukAmmqhk8fgETYiMpQmvo56JQ+m9KXLGlqAdTovjqETPz6cv1COHj2iwmoZGwwXqNi/X739UZsw6XYA5nQBTV7MHzodD3Sj8w7DsWXL7AbiHsBm5Xyv3r2VFyW2htxca9O+m/UPFadmZQihcIkTZybk4379+0dOA0A7UN+xkJZjOoTYwYICvjx81sNG1AmRQwfOoX58VfburfeaxNbgx/ymMXoC7KlPly5r0CEBVsXVoleuWK4C0qSaKSIUYOmblxebMKeal9fPAWx09EbCcxLTPx6VfoghoRE/Fi3+VK0V1DpeY6dE+RzV3ZoVy2X46DGOdNMAA502gI6auMUiZybnxqVzzAEAPIs5vBZDQgHqyqoqKdqxM2a0cBvEfnzy4tW5tKREqfBGjR4TL0nsOhoDVpRr9WXsRgRPOnbq1ADU6NrpC+Rr/OCxOHqlvQkFqN99732xcnp3ayzNDvZu5Wsnn8H5Q6T/gIG2uHRTATT9YuVFiOaqw/HFBJs2b427iNdOvyZKE7hMvXz5SiVrWU0OE1XcyT0vX5hE9UD0gBsRBiEZIWY0BQ6t20m7rXxfVHDMo0dl85Ytlgt49fPpHAMFNZ+k9Rs3evYZ0h1D+Fq/CUMLW1nYNYeHxeHfzX7CVcBMeDfqSSNWYy8oUFCzEY+XHFp3WLzVK/q+F8elixcrX+lu3Rt76pnL6969W4P4IOb7Uf0d78vDQmTmOfiG4KrqNgUGatb4bd26zdV9U+J1jo6rEe++29dZorW/vEwm2Nhsns90164NVWBu18fP/PDNob/xUwG8Rp21rgdfaD0mVn7yOl2qx8AmikQhpXFubgYUrxPa57ST8v3JV6bEe97pdXbNIrijHeshWgC/g9I4bY+T9AcOVNtauIGKD0envXv3qQgAfK3cosA49adLlqo2GH2k3WqUOZ/sVv5uvYbIMXbceHM1LH+nsa2MZX5BX6ytjR8Kwlw3ZGvsEitXrTbfSut3IKBmOze9sabX0UXpHb8MOsiJb7/xuu3JIXWLmmElGdqM24EkS4urrhJXKtxdNB0IqD/9tJ5L02g/ODXqMj9o9aqVUryrYfD0ROWi8fDKAJGo3KDuYWns379frHiYAOIK3n3EEXeLfAc1E8QNGzep+nf0aXkS5lk827wknJU+//QT6TtggNjRePCiMcjNhVjf2Us5YuU08A0h9DIasNLSva51he+gZoLIXidQy+PbILvWmgQZndixY4K76d8qPb4865RTJ9nKjMW0TWmCqBvdqpW17oHwEFo04QvFek6IRRzI1uX797sWMs53UOsJIg3q4NFOU7qDjUd0pl5y69xeveWyq68RfB6SESHD+Ho0RWJDKCvatnVrTNQE3IRz0wSTQwwjNp8b5Cuo0U3qCSKVJ86bn+QVt8YjjdAHZnM4A2WOykR7O3TwZts4P/syXllMfK3Uc4idBJ2HCDFB6F9NxFFRa093WgcP0unsHn0FtZFLU0G/tBK6M+DWcEk3CVn6n397UbZtrd9zERAjO+bn56s/PrucE3lUU9m+Mn3aJI8Yk6wmwGo+tX695TZ7asIoIutcMJ37Cmo2xTGSH5oPY3mcu60JYQEAdOrEScqRHxAzATQOKue4XGoOxmoQlqc1VWKugFHJiuJtZc1e8OCB/S7TJd9AvWLlqtgEkUoz0H7oqM0dxOfRSiQwp7PzGy7NAoDTzznX1lIzOJiO48wEqSlTVlZLW807oUMHNR686Kj4SvfsTXvJl2+gXrmy4QpxK7dEW73gQiI7kzk7xbBm8pTJp8lZZ59jJ7nSdhDSgRealfFNlZCPkZPtEM5mLFNjuRouE/iKpOvkZK1/sVMbh2mI5dGjZw9p1y5HDarx8+wwq7STw62ZrMAZUiXkZsSMy6640lEWaD0YQCKqMvhNTa1Hn7KC3G7fwqFbl5aqcBe6I+u/Ytbii06T6OgLp0Y3DSFuINMGCWjqAZCIpKSJGCJOCPFl1coVMv/DeU4ei6UF2IRIa2qARt9MMBuA6oT27N3bYPJYfaBxMFAn+fkC6u0FBU7q5EtauKyeuPGiwT3tEkaj1195uUmLEHb7QqerrKxQwWvwvEyF8NrjpYDSFT98AbXm1OwcFSZi4saeK3wqEUnsAnvxxx+pZpx51tmOm4Ohgbh7TDI5aiub44xC9ADighuBIInohFaI3cXSIc9lalwR9Zt37FhdOnV1/Vk+/wQy1KSBTecmohWfLZMzzv2S4DfthAAxE0Tjy822GejOKTuq5GYINJyb8AdJhzwHdUEIRY9EHQa4ULslkgsv+sY3Y/sdWuUF5+czzJ/RaYkV1jpmNRybuB5wJhajcsQnIgjdvVUb7F5jpb6b6knWk3bocILKM1WbguegDqM8nWzAOnfpHBfUmMRRCcJxjYDVeTLAbB+tySoNE2U9WWbjTtSbPMefVWgBnVcYj6nK0PHaor9iBJVMFdSey9TEx9MUVKgCXb7dYzwx6ZNFHyuTOPmw/s4cT4Tf5j1o7FgO4c6ai5vriMytAR9G+dvcB+b6O/2tozqVp7Eg13NObZxAtI2IZxoiCHpooy4bkQLrIf7SEByK7eGI4onBgN/G/br1YKZjNUVE2bFjR4OdvzBUhMnDL94uYrr9qRzVZDENG4KnoDaLHvE4YCoN9/oZxAbAjZjBRGjThvWqyDFjxzUo2grIOgHx8NLRRePJdlLPnio7fCbIy28nMN0Wq6Odr5DVc8muYZRCd50qeQpqo+iBfOT2xu+pNtruc4AIYMIZ169bq1aI21nVYjf/ZOnM0UOTpff7vleRABBT7VokrdrsKagPGlYWd3HZ5dOqMV5dw2X1m5dcqmRouNO+fftsdbqOe6FjX3DUE0Sv6upnvm7L07ruiHJaDayvOTl6CmpdkZz27SPHpXXda2trlTkc11L00nBtOCjWL2TeZI47O3c2XIiLST7VWb2uU1iO2gLodn2IYw0xQU6lrzzXflA57W6JjFhWts/tPvA0vw3r18vst95stMcK8jb+I0OHDlWWSLteh24aKjxtuI3M0xEREmWvozeh1kuFfOHUeoEtn144FxoBvPWiQLPfniU9c3vJkCFDLKuL3A3AoS5duigjSnVVVdzdwOA+TcE7zyvRg37ULwu+1fEWG1gOxvGLvnBqrQHQXnq7du6KhM8DHmfE8Tj/ggsT9WHsngY4e7KwhIst8awIkSbq5LXOnJfGuI7RSX/5Amo9UaJiaEAOHzmScoWdNC7dtIQx+Pa06TJ6TPJdAMxl8VViE0+cpIztJx2c2i4xuHyOq6oq1R9yrJPn7ZbjNF28iKZO84mXnpcm1cmiL+KHccavjRF79+xRAQLjNSoM16lrKoA21h3RhPbrPQW5d8SGFxpgLi8riyvGIMMT/1mLPsYy/TrHr1xbAN0uE8emVE3wnoOayJZGAiiYhPFYCzO99MLzqnpOV7ZYtQmNCRxbAxuDDYEh9QvOEdEFICNPJpLJdf5a68ILA8ARaVgaRT70uZGR6GfcPrLVhVegbtWqtRxI0VXZc1BbdW5ubm4sPrHbHe1GfuXl5bJk0cdy/lcvciM7lYcGdlFhodqznPjNbhAvAaZ0I2EFxePPay7Oy+OVNgeRLVUxy3OZulXrxmF0ceCx8l4zDkyQ5x/O+0AVj27aTQLYAwcNUoDTLzvHTi5vRs9nm6+CV3pk3SfUnZfHC2rZMnVo+sCpPS/C9T7dUVSU0iIAOxVBPMB4YzaB57QvU+pOO3nYTQOwEXu85NgwJ7QUqCrdpCNH7E+mzeVGD3HmFnjw+/obpsfkXQ+yt8wScJg31LRM6PAiwEaLgzWUF8ptIk/y1/MFt/JPR2WYOo+3Wfuqyi8mhEHpZ+kg5Ew7tGL5ct8BrevVvkMHferqEfmdFUheiSOIVX369Gmkuky1Ea2OR8NNxUROmZ6DWivQARZvs9ufKTsdx4SDyV9JSXFCow+A/stTf1TL/O3kG6U09Dv9z6ocVn6nOgmL12YACLDNkWVR++FzjhhEWAjtVqDnFFb56XlY+58IwXMAABNpSURBVPapWZ09Fz+YncOhORIZdOeOHSpEV6JGWTU0nWuUhdM/JvqjR4vjrgXUJvH+/funU1zKz6LK85oAd0FBvaMQYgNc1i0iL/6wqCYiZHzEFiy2VpTuOk3POTWVhiscPFhvGgbcuGT6TRgq4CTxXiZtEj/znHP9rpoqD9HAK52vVYMANyt3vHL0tyrTeA2LZLyxsOscZszPeO4bqI1vH5YyuzKusbLpntOJaB2MddF5wmGIi5euBVHn5+TIS+/Fsig7deDL6bYoYqdc0pgNc/q5FsdP4oFep4t39BTUbdrWb+PbMitLWrZsKOkQbw0ZNyyEvhXrobby+Vkv5P0g5hq0kW2ViQ0dJso5Lkt3Mlmj7dbRU1D3y8tT9YgXk7iF6HfSbnW9SccE8ZPFi73JPEmufP7dsi4mKSru7XSDx8TNOKAbnoK6Z88eSj/KWjar8Ah6lkvbmUwyMy8tKY750/rRJ5T7j7+/JFu3bPajuEZlVOzf3+ia3xf4SgTx1WSeY0WHDtWHHevUqaHfkFVaq2uegpoCBwyo1ySwKGDI0KGS16+fsLwL0js5oe6DW+HQg2P4diJnVlQooMPJmFx6Raxsqa6slLHjJ3hVRNx8adc+m/rzuJm4dKO0dI/vE/js7MTGIL2Dl9MmNhR0nT5tI/3gQYNk567dCphMxpj14ptwQG0PUS9+oA05fOiQ9OjRXe2ph5OMOSgMelBWlrht8l22dEnClS02mphyEq+MIalWiH7HroD2wWt/6Xh1ZL9FTalyas9B3aVr/QaYcGJMwZhrOSKS6I7jt1GNg3aCoORG4hPJH8+zNjDVmbExT85Pm3q6ytN83Y/fXoUYSKfu9DHqTYwo7GamxyidPJ08m3XclM/4pjrGnoO6a5cuynwKlwWo+FGjaTAGPTdXHpArJ/ny8kb9oTQF1dXStVu3Rp5+iDEYWNBH26V4aw/tPt9U0yEW8ccX0quorFaLAPiaQzp2eCr967lMTaWIAU1lu3btokCNH0IyPxCsXfFs/6iheEHgKMjc/AF2tU8f3vc2iPQP/eLnca1aNrJIO0m8iVLaGbuYAZxbm9cRl9zUaetQCMbqat11quo88vKcU1MIC1Bramqle/cewo6oyG44thMDw8oQwjNcV95fBQVqTaOx4fqcDt++fbv+qV4CNgqyQ2wVx6JazRnsPON2mnhtd7scN/Kjr/njq8pXVpu63cjbKo/evXKtLtu65gunxqFFuz0iWvTu3VtVjk5KRBhCetsQJXKPL3DFZ8Ou8WTxRx/JwPwhnjm5J2qXvgcwzKKXvhfWIxobRDw3LJHspmCmdm3bqj5JdZJIfr6AOq9vQxmXFeVwaTuxmBFBAGs8UYRGEFfESZw+vhRw6amnn2HuU99/u70Dr18NICh9MhEyWV2sfF3Y2jsdLk2ZvogfFNSx44kNlrw7+fRqYGsVGFwf2Q7DBZ1bUlysXhC7eTJRvesH9wXKpfWAw62Dtijqujg9mkM/OHkeRYAVMcYnnZTeEjFfODWVZ2dTO4SvLw2zMrgAAP5QM3Hs07evsIiXiaMTByk4tVdr6+y00ZgG8SMsdTHWK9k5e62nIzqhqbIi/FD69qkXT63u27nmG6iHDxuaMI4Dby5mcoK0M9tGs2EFVMBunIEjo+N8bpfmzH5HnnjsEbvJfUmnZ/y+FOZCIXDo7j16pJVTPB39kPz8tPLlYd9AzSqG7nE2YQfQ5lUx6DCtJiSlJSWNwM7k0K5sunzZMmVBTLvnXMwgatyaL0s6XJquYxMnKxozepTVZUfXfAM1teqVm9toORVcl1gYVuIGz5SVl8uWzZuVLhqxhN+ID+imndL69etDM0E01z0q3Br1LKJfukQYZDP17NFDcIJLl3wF9dCh+Y2cTQEqMnEi4j7iCNxc074Utk84WFuruHR+nAimOu8gjnA+9PJhJsQOt4LnW6nz3ODS9J9v2g89WL165cqu3V8sDmCzoFQIrQcyNzK1XWJVSxArW+zWD78WXtZkL7nd/NxOx6qhdMUOXScrdV7+kJP17bSOvnJqajpq5IjYhBFZOp7YYadVyrsvCZfX+WAWh9uHmVBV2jE2BdEG1KpOGEiiOlqp8/rl9ZV0TOPG8nwHNRNG1EFQPLWOsYKJzplMMnG0Q3988gn5YO57dpIGmgbwhFEMMXpRpttBVuM+2oUJoq6X76Cm4O7duwqhWt0gJo7JzO1waCyIw0eMdKNIz/NAk6PiWrdq5XlZdgrADdVNF1QrdZ4bqjzdlkBAPW7sGLUYQFci3SOx74y6a3N+K5Z/ri6FWZ421xkNA8Ek9X455vt+/sav2k0yq/PGjh0jbY8v0najnEBATcW7dO7kWpiqZBbFk07KlW9debVtZyc3OtaNPJCxe/XundDvxY1yEuWBqOgml6YsozqPL9K5Z5+ZqAqO7wUGaiyM7N6ad3zFueOamx5IpLueOGmS8BdFAth2DUtut88Ny6FVnbQ6D0CPHDHc9Zc2MFCzsoHZLh3nlrO8jq5v7EhCH2B0iTIhirilSnPSD25YDq3KQ50HoGnXsKHpm8XNZQQGaioyaeIpqj79+vUz1yul30wYjf4iqPH+/vxzUlLsTtT+lCrl0kN+Wxw16FyqfiwbVLj40wNoXJITuRTHHnJ4EiioUe+NHDFMqfbcGjSj7prwB1D+kKEOu6V5J/cK0PQqXxyMTITHGD1qhCcdHSioaVF+/slCuFe3dLPorvWOqWtWr1Jm8Si6dppHW8uh5utu/oZr4vEIF/WaRo8c4ZlIFTioCVgybtwYpZJzC3xMGlHxjZ9winz7+mlej48v+VuZld0sGC0Hk3Y/1myyi21eXl83q98gL999PxqUfvxHn969lHcW2hBo37596i1OZlSxyktfw4svSnppXW+rYyoeiVb5xLvGpL1Hj/RWm8TL23wdsWPCOOebrZrzSfS7RZ1ZE54otYf3APA7c+Y2KgEvPsLcOgX42tWrZNSYsXH3FG9UUIgvsBqIxRNekJ+Apv74/gweNMCLpsTyDFz80DVBnhs6pLF6R82S8/IcWdbYEGjxwgVqYyCdf5SPR4+641Jg7gO/AY3Y4TWgaWNoQE1l0FmyQNdM2rJm12S8desWlYUd8SPdFdHmunrx22iBcyt/vwHth9ih+yZUoKZSE8aNjUVD1ZXk6ATYWzdulLGnTrRlFq+qrAz9am6tzTH2RzrnfgOaug4dMsQTnbRVP4QO1HBq1D1WZBfYp591tnz1ooutsmh0jRjZbNeBoSaMhBYnHZ9zc5vY0MmvSaEum2BDfogdurzQgZqKoe4xB8DRFbYD7DHjxtmOZIr8DRmNNrqsMBzdEo8wehBAyC1Hf7t9o8SO8d5qO8x1CSWoqSTWJiv5mnuJgD3v/fcaxNczN9j4e8+e0phWhTBXQfhXGOtjdX7sWOrbGev8mIsAaC9M0rqMeMczpk7xvV9DC2oANnniKZbyNR1oBezS4mJBns5qkXgvGT7nREXaU1q/9V237uwVbi+wZLzB8+p6upoPLLV98/J8Bxb9gT46HmPyqr/IN7SgpnJwlskTT43bfg1sJj5wo31l+1TaeKvFWUaEwxMhf5GjyZ81gWEFNI1JVfOBpRbuHJTb6qCBAzy1GsYFRdhBTcXRbSayQAFsJj5wI2LrsRdivMinBMcp3r1bsglHkJurwpY5CSyZqCO9upeK5oMXnFUzQYgb9APzIa+clez0c2gsiskqi0Vt6WfLEybD5wNvv3ighku3aNFCOezYDSaZsECPb6L5WLdunaNSADSrZXjZgyA0HZMn1bsUB1E+ZYbC98NO49GIsHNXQWFR3OTJHKL8nvnHrajNG041H0Hon41NQX6e4LOmw1i+Pg+1TK0rqY8Txo+Nq+p74vHfyvwP5+mkTeLoRPMRBkCfMfW0QCak5sGOFKipvBWwMZxs2bBe2rRpa25fpH/bNbpkAN1wmCMHag1svL006RUu/frXb0Sqr0f9aGdhQNCAZiIfFg6txzsyMrWusD5idm3dKltNHtmCuWcuPtn++ATrOnh9LN9fkbCIoAGNloMvZ9gosqCmI5k8orZib0a9wCBsHZxqfazizRnzChrQuAl7sRLc2MZUzyMpfhgby+ePYChuxDU25hv0eSJ5GrVd167dAqkivhxYesMKaDol0pyaBvzkgQekqLBIHvvd47J02XLZtTv64RBoV1ZWfFM/e0UGoYfWhrCgjDp23+LIc+pX/v6yaqvyFZl0ilouZLfxUUzHnpR+LI419w3iBhPCsAOaekeaU69ds0YqKyvlvK+cHxsDJpDsLbP0s88bbHEXSxCRE6stjtWAZfsbCTUq3Nk4rJEG9Zo1a1RbJk2ebGyT8gxDzl67boOsW7+hwb2o/Ii3carbwRrj9QeyM4s1vAxlEK/sdK9HxvcjXkOLioqkT4Ktnvfvr4gs12YlvXGfG/ogPz/fc6sdHnZMBMPoXx4PB8brkQY1g243mtCmzVtl3fr1Eu+zbuyUMJ2jBamtrVGOWESzyMlp79kkEVED7hyED7SbfR5ZUC9etEiuuvwK+WDB/ISc2thZAASRZPOWrcbLzf48yqKG1eBFVqaeM3u2ao9dTk1iPqf4+TKZBNyJPP6sOivq13ipMeocPXJEBQgiWH3XLl3khmnXRlbUsBqTyHLqiy+4ULXnjbdnWbXL1jWiPjV1cBOyDBfWg7U1Yja7jx41Us778pdc3ZrCVsd7nCiynJoJ4sw7bk+re9C54rvApAiZu0DtvHskrTyDeJhlatqszsICfhP9lRXyZiLA/cRTT5Exo0eqBRXm+03hd2Q5NTrqYcOHuzoGfJ63FxTJ5i1b5MCBGlfzTjUz1iiyrR6boaZDTP4A8+hRo5ocZzb3S2RB7UTzYW60nd+oAjdt3qLM7sk0JlpWbdnyCwMtq8CtTNlci7fczKpe1dVVsn17gdWtpNfgykPyT5bRo0dKP5f21klaaAgSRBLUV152udJ4/PLXD/nShbt27VZLyfArMXPw4uLdUllRmdbWy62ys6Xj8Q1TdYPYCwetRFVllezdV79KXt9LdNRAJpg9gG6OFEmZms2Jho9wV/RINPj4W/CH5gQOvr2gUHYXlwiLEyqrqkTq6lSsEdxfc3LaKZm2RVY91yZ9Mjp85Iil/JvsOX0fqx+cuF+/+qO+3lyPkQM1+mnIbBr3awCRTQE3f2eeMUXFjS4oKJDi4lI10ayorJID1dWqOjnt20uDVet1dfXXc3IkO7tlA/Bzo7r6gOjdYBFR2rRpHWsWk7+WWVlqcoebLVH/2d2sqbncxhqcxknkQK39PdyeJKbSh23btJH8kwerP/38kiVLZdq118rZX/qydO7SpWEwmuORow7UxJ+E6pcA7QV/HdnFKq+v2huHI2VmKHEPRFKmTubvkbjJ3t599OGH5dGHH5E3Zr3lunbG25o3ndwjCeowdz8vXGVFRQbQAQ7SFzqoACtht2jUeONGjRZtIrf7nB/p0Ju/8vLLSisTBtHIjzaHtYxIydR6UYATfw8/Op6X7eYZNwrHSy691I8iM2Uk6IFIgVprPohUGibaUVQkO3bskCf+8PswVavZ1iVSoGaUiFKaaFFAECOJuLFpW8adNYi+tyozUjL1Ny+9VJ5/6UWrdgRyDXEI6yaTwwyFpwcixanDxKGRn++5864MoMOD5VhNIsOp4YZnTT09NCBCH7127Vq577/vD504FBvdZnoSGVDryRjHMNCa1WvkumnXZ7QdYRgMUx0iI35o83hY1Hlhku1NY9rsf0aGU2Olg4I0bGh9NEaWDIW3ByLDqdF8BAlohhADC26vl3wrY2AJL6QjFHYMzUeQ2g8CUQLombffJued/0WYszAPbnOtW2TED7QNQX72+UowMZx5e3qLfZsr0Pxsd2S89Ab3H6BAdd/99/vZP5myItgDkeHU9K3fmg9043gF8pXIUHR6IFKg9rNb0XTcMuPG+lDBGRnaz65Pu6zIgBp51s8J2jNPPaUshg8+9KvAtS5pj3IzyyAyMrXf44KbK9zazxfJ7zY21fIiw6mRawGZ1/T0U08JgGa1egbQXve2N/lHCNSPCCKBl4TX3U8f+LFok7yXZWXy9q4HIgNq77qgPmd04P945RX58nnnyfXTpnldXCZ/D3sgA+rjncsuX8OGDRO/Qpl5OKbNPuvI+H7AQb30/ch43TWdd6FZaz+QoRE5/vriC4GFMWs6UApPSyIjfqD5cNP3QwP6m5dc4ukXIDxD3XxqEhlQo2a79667hcWu6RJ5waEBNDK03+b3dOufeT5xD0QG1FqedoNbo4NG5MhMChODI6p3IwNqfKnRTsx5p35XLqcdjlHF6JwUVChgp/XOpHfeA5HRftA0Ni5C9eaUWLHy7pw56qXIWAmd9l700jd57Qfuo1dddrmc95XzJeOLHT2AplLjyIgfxsbhB4IogUhhJiaSLL0iRgjyN2LLvIULMoA2d1QT/h1JUCNCAFb8NIyhfQHzxRd+VZ556mml0cjIzU0YuQmaFimZWrcDTQg73cKJmThqlRxg55yj1pboZzLH5tMDTV6mbj5DmWmp7oFIih+68pljpgeseiADaqteyVyLdA9kQB3p4ctU3qoHMqC26pXMtUj3QAbUkR6+TOWteuD/A+zqDKMQEJzVAAAAAElFTkSuQmCC"></p>
<p>The satellite is orbiting the Earth at a distance of 6600 km from the centre of the Earth.</p>
</div>
<div class="specification">
<p>The satellite carries an experiment that measures the peak wavelength emitted by different objects. The Sun emits radiation that has a peak wavelength <em>λ</em><sub>S</sub> of 509 nm. The peak wavelength <em>λ</em><sub>E</sub> of the radiation emitted by the Earth is 10.1 μm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the orbital period for the satellite.</p>
<p style="text-align: center;">Mass of Earth = 6.0 x 10<sup>24</sup> kg</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>Determine the mean temperature 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>Suggest how the difference between <em>λ</em><sub>S</sub> and <em>λ</em><sub>E</sub> helps to account for the greenhouse effect.</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>Not all scientists agree that global warming is caused by the activities of man.</p>
<p>Outline how scientists try to ensure agreement on a scientific issue.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram below shows part of a downhill ski course which starts at point A, 50 m above level ground. Point B is 20 m above level ground.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>A skier of mass 65 kg starts from rest at point A and during the ski course some of the gravitational potential energy transferred to kinetic energy.</p>
</div>
<div class="specification">
<p>At the side of the course flexible safety nets are used. Another skier of mass 76 kg falls normally into the safety net with speed 9.6 m s<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>From A to B, 24 % of the gravitational potential energy transferred to kinetic energy. Show that the velocity at B is 12 m s<sup>–1</sup>.</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>Some of the gravitational potential energy transferred into internal energy of the skis, slightly increasing their temperature. Distinguish between internal energy and temperature.</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>The dot on the following diagram represents the skier as she passes point B.<br>Draw and label the vertical forces acting on the skier.</p>
<p><img src="data:image/png;base64,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"></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>The hill at point B has a circular shape with a radius of 20 m. Determine whether the skier will lose contact with the ground at point B.</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>The skier reaches point C with a speed of 8.2 m s<sup>–1</sup>. She stops after a distance of 24 m at point D.</p>
<p>Determine the coefficient of dynamic friction between the base of the skis and the snow. Assume that the frictional force is constant and that air resistance can be neglected.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the impulse required from the net to stop the skier and state an appropriate unit for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, with reference to change in momentum, why a flexible safety net is less likely to harm the skier than a rigid barrier.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about motion in a magnetic field.</p>
<p>An electron, that has been accelerated from rest by a potential difference of 250 V, enters a region of magnetic field of strength 0.12 T that is directed into the plane of the page.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electron’s path while in the region of magnetic field is a quarter circle. Show that the</p>
<p>(i) speed of the electron after acceleration is 9.4×10<sup>6</sup>ms<sup>−1</sup>.</p>
<p>(ii) radius of the path is 4.5×10<sup>−4</sup>m.</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 diagram below shows the momentum of the electron as it enters and leaves the region of magnetic field. The magnitude of the initial momentum and of the final momentum is 8.6×10<sup>−24</sup>Ns.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(i) On the diagram above, draw an arrow to indicate the vector representing the change in the momentum of the electron.</p>
<p style="text-align: left;">(ii) Show that the magnitude of the change in the momentum of the electron is 1.2×10<sup>−23</sup>Ns.</p>
<p style="text-align: left;">(iii) The time the electron spends in the region of magnetic field is 7.5 ×10<sup>−11</sup>s. Estimate the magnitude of the average force on the electron.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about electric charge and electric circuits. <strong>Part 2</strong> is about momentum.</p>
<p><strong>Part 1</strong> Electric charge and electric circuits</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Coulomb’s law.</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 simple model of the hydrogen atom, the electron can be regarded as being in a circular orbit about the proton. The radius of the orbit is 2.0×10<sup>–10 </sup>m.</p>
<p>(i) Determine the magnitude of the electric force between the proton and the electron.</p>
<p>(ii) Calculate the magnitude of the electric field strength <em>E</em> and state the direction of the electric field due to the proton at a distance of 2.0×10<sup>–10</sup> m from the proton.</p>
<p>(iii) The magnitude of the gravitational field due to the proton at a distance of 2.0×10<sup>–10</sup> m from the proton is <em>H.</em><br>Show that the ratio \(\frac{H}{E}\) is of the order 10<sup>–28</sup>C kg<sup>–1</sup>.</p>
<p>(iv) The orbital electron is transferred from its orbit to a point where the potential is zero. The gain in potential energy of the electron is 5.4×10<sup>–19</sup>J. Calculate the value of the potential difference through which the electron is moved.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electric cell is a device that is used to transfer energy to electrons in a circuit. A particular circuit consists of a cell of emf <em>ε</em> and internal resistance <em>r</em> connected in series with a resistor of resistance 5.0 Ω.</p>
<p>(i) Define<em> emf of a cell.</em></p>
<p>(ii) The energy supplied by the cell to one electron in transferring it around the circuit is 5.1×10<sup>–19</sup>J. Show that the emf of the cell is 3.2V.</p>
<p>(iii) Each electron in the circuit transfers an energy of 4.0×10<sup>–19</sup> J to the 5.0 Ω resistor. Determine the value of the internal resistance <em>r.</em></p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about circular motion.</p>
<p>A ball of mass 0.25 kg is attached to a string and is made to rotate with constant speed<em> v </em>along a horizontal circle of radius <em>r</em> = 0.33m. The string is attached to the ceiling and makes an angle of 30 ° with the vertical.</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>(i) On the diagram above, draw and label arrows to represent the forces on the ball in the position shown.</p>
<p>(ii) State and explain whether the ball is in equilibrium.</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 the speed of rotation of the ball.</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 circular motion.</p>
<p>The diagram shows a car moving at a constant speed over a curved bridge. At the position shown, the top surface of the bridge has a radius of curvature of 50 m.</p>
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5nlxKfSv9SCbbmK7NdH19ZzJA91PZn3CCCAAAJVXoCgRpW/BABAAAEEEEAAAQTOlEAdXT3wXrUyzW2bpkFjX9bnGccLGs/LWquXX9mtltG1C74zb3Kzjqp0mThO6L9Hf1ZekVr4gAACCCBQGQUIalTGWWVMCCCAAAIIIIBABRWIaH6XXp7eV5EmWLFimoZd11rNGjex/13U4Z861L2X2ji2b63WrK1izIkr5urVlAPKk8mxsVwvxs3XtyfMAA/raHauslISlJJ1Ssr5QZu3mG1RcvX9zkzlVFADuoUAAgggEDwBghrBs6QmBBBAAAEEEEAAAZ8CZ6le3+e0LCFOI7vXdZxdV13HPK85y+fryS71VPAfqDWu1qNL4nRn1E4tGNRJF8U8ocX7G+vehydp5NBoSd9o0bwEba/fXZ0PvKh2l9yop1dk2XXmLrhX0Y2bqF1cWn5+Dp/94gQEEEAAgXAU+D/LsqyydNxE1Hfu3lWWopRBAAEEEEAAAQQQQAABBBBAAAEE/BbwFoMoCIT7XRMnIoAAAggggAACCCDgp8CmTZv8PJPTEEAAAQQQKL0AQY3Sm1ECAQQQQAABBBBAwA+BjIwMjRszRv/73//8OJtTEEAAAQQQKL0AQY3Sm1ECAQQQQAABBBBAwA+BJ2Jj9XhsrM4++2w/zuYUBBBAAAEESi9AUKP0ZpRAAAEEEEAAAQQQ8CGwJClJtc87T927d/dxJocRQAABBBAou0C1shelJAIIIIAAAggggAACxQUOHz6sGdOn67XZs4sf5BsEEEAAAQSCKMBKjSBiUhUCCCCAAAIIIICA9MacOep/+x1q3rw5HAgggAACCJSrACs1ypWXyhFAAAEEEEAAgaolYJKDLv3kE328dGnVGjijRQABBBAIiQArNULCTqMIIIAAAggggEDlFCA5aOWcV0aFAAIIVFQBghoVdWboFwIIIIAAAgggEGYCJAcNswmjuwgggEAlEODxk0owiQwBAQQQQAABBBAItQDJQUM9A7SPAAIIVE0BVmpUzXln1AgggAACCCCAQFAFSA4aVE4qQwABBBDwU4CVGn5CcRoCCCCAAAIIIICAZwGSg3p24VsEEEAAgfIXYKVG+RvTAgIIIIAAAgggUKkFSA5aqaeXwSGAAAIVWoCgRoWeHjqHAAIIIIAAAghUbAGSg1bs+aF3CCCAQGUX4PGTyj7DjA8BBBBAAAEEECgnAZKDlhMs1SKAAAII+C3ASg2/qTgRAQQQQAABBBBAwFWA5KCuGrxHAAEEEAiFACs1QqFOmwgggAACCCCAQJgLkBw0zCeQ7iOAAAKVRICVGpVkIhkGAggggAACCCBwJgVIDnomtWkLAQQQQMCbAEENbzJ8jwACCCCAAAIIIOBRgOSgHln4EgEEEEAgBAI8fhICdJpEAAEEEEAAAQTCVYDkoOE6c/QbAQQQqJwCrNSonPPKqBBAAAEEEEAAgXIRIDloubBSKQIIIIBAGQVYqVFGOIohgAACCCCAAAJVTYDkoFVtxhkvAgggUPEFCGpU/DmihwgggAACCISlgLkB3rpli8++N27SRJGRkT7PC4cTzjvvPNWuXTsculqmPk6Pi9PjsbE6++yzy1SeQggggAACCARbgKBGsEWpDwEEEEAAgSou8L///U8vvfiiln7yicaMHVuiRk5Ojt5btKjEc8Lp4JrVq7Vn9w9B7/LS5cvUvHnzoNdbmgpXrFhhn969e/fSFONcBBBAAAEEylWAoEa58lI5AggggAACVUtg06ZNGjdmjGJ69tTHS5fyF/0gTL8JJpjtU9+Mjw+ZpwlUPTtlil6bPTsII6IKBBBAAAEEgidAUCN4ltSEAAIIIIBAlRVwXZ0RN2OGWrduXWUtgj1wszIiJTlZCYsX6+4BA4JdvV/1zYufp/633xHy1SJ+dZaTEEAAAQSqlAC7n1Sp6WawCCCAAAIIBF/ArM7oFRNjV2xWZxDQCL7xQ+PHy+w6YvKUnOmXaXPRu+9o4KCBZ7pp2kMAAQQQQMCnAEENn0ScgAACCCCAAAKeBA4fPqzYCRP0z2eftR9LePiRR7w+HmFWcpibY2//TF28vAuY5KMmQadJ1HmmXyQHPdPiYdpeToZS4mPVq3ETNTP/YmI1LyVDOWE6nNJ1+7gyUuI1Mebi/LE37qOJ8SnKyMkrXo1xSkpSYtxQXdo2Tmmnip9S9m/ylLNjgYa1bKJLhyfpgIfmi9d9Ullp/9aSpDc1MaajhiXtK35K2H6Tp5yMFM2L7eOYl4vVKzZeKRnHw3ZEdNyzAI+feHbhWwQQQAABBBAoQcDkeTA5FgYPGaIJPnbD2L9/v/720EOqfd55qlWrlsdayyvBpsfGJDVs3EhXdurk7XDQvh8+YoTq168flPrMYyiJCQlakpSkPn37BqVOX5WQHNSXEMeNQF7WZ3rq/iVq8vwUfbz7CWWtf1NPDHxOTw/6QjvjF+vpLnUqL1TeAaVMfkRvN3lM05Zu0eSstXo59iHNePJeLdk5V19O6aIaBaPfpyVjb9f4FUfyv6nVsuBIqN6cSntZN/abqaN2B2qpa6g6EvR2Tyor5QUNX9BI/5yeqJ1P/aQNL03UfdMma0jCLs1ZN0ldavD3/aCzh6hCghohgqdZBBBAAAEEwlHArKiYNnWqvt+5016d4WtHDnMDPmP6dHuVQUXaNcOM49ChQ+U6BWY7WxPMWfjuu0Fr5/EJE3RNp85q17590IIl3jpHctB8mbyM1frynCt0dV3+s9njtZK3Rx9OjtWCPz6qL1vk377XbX+fnnrlkPYPStN5NSqz20kd+OAFjZ5XW0+va6HqBqhuRz04ZYoO7X9Y68/7g4reNjdQnzlpuikjXrdcN1mbPYIG8mWEqrcYoNe3+p97p1r0OG3YfY9SYm/RkAXZgTReocrmHfhET41YrD8++4FaVDezUFftRk7WzEM/acjXdUQ8o0JNV8Cdqcz/KxMwDhUggAACCCCAQKFAaVdnPPvMM3bh+W+9Ve434IW99O+deZzD/CvPlwn4rF+/PqgrK8yqj6nT42RsX37llfLsvkgOangPatW8pTo28opytQ7nyvO+/1zxS7MUOaCmIgsGcpbqdpmgj3cXfFE53+Tt0vK5y5QbeavOjSwMX0TU7aYnl6Z5HXPEOTX1R69HQ3Hg96px3h8kVZagxi/6ftn7WpZ7ju6s+ftC0Ih66jJ5iXYWfsO7SiJQ+NtXSQbEMBBAAAEEEEAguALO3BlvzJ5tr84wO3CcffbZXhsxwQ+zmqBHjx72jXewHr/w2mAFPjBw0CB7pUowc4Y4Hz1xPhpSHsMnOahRNcvXX9MLC3j+vqRrLC/7iPZKOuu8Gi5BjZJKVKJjeT/ryJ5c6Xc1VcMlqFGJRhimQzml7CMmT9MfdF4Nl6BGmI6GbvsWIKjh24gzEEAAAQQQqLIC5vGRW/v1U/v27fVmfHyJW3q6Bj9Wrv7yjOV9qMiTY1ZrmK1Qzc4lwXyNHTfOzmkSzGCJa/9IDnoyPy/EiDna4QrDezeBUzq4Z5cjH4Pboarw8eAebXWkx6gKww2fMR7V3i1Z4dNdehqwAEGNgAmpAAEEEEAAgconYJJ7PjhihJYtWybz+IhZHVDS6oy1a9fawY+oqCg7+FGVV2e4Xw1mK9Sln3wS1O1YTbDEJGk1+U2C/XKuAKlIOVCCPcaS6zuuHfFj1OO25/R5rjnzQ43v0Dx/94QhSSpyq5SXpbQPza4Rzl0vzO4Kb+qjtCwV3XjCscNEQpyGteyp6Wk5ystK0xKzA4a9W4gp97bSsk6W3LUiR83ODss1fUjHgt1GFqRl6VRGkhakmT1HTikrabRj1wezI0m0y84W7sfy+5Rfval3VZHdMPKy1muBvYPExeo16TNl5eUoLa6nmjVurs5jP7SLHZ1xi/7i2PmkXVyanJt6FB2n6YevHSiMVVLhuBo30aVD4rSkmKkDw+wmYrs6dl0paeeRIn7uH0y7n7jslOHYweXDNGUVnUydSotTOzPWDuP0uanmyEz1b+Zov7Q7mrhfQy2HanqSe5v+zIlJ2Jqmj5IS8sfgfq0WDNdtp5aYWC1Iy3S7XgtOzn9TJmPTznsu8+hr3t3adPloj8t1Zx17jj8p/vtyKk3T25p5uMqRjHWbXurXyvE74HqNu1TO28ohYJXx1bRR4zKWpBgCCCCAAAIIVGSBpMREy/z/vPnp65Wbm2s9/9xz1h39+1vp6em+Tq+yx5cvX24bBRPA2Bv3NWvWBK1aU+e111zDXNqie62kwW2tpo1GWUmZvxY3zv7Oih/cwWo1eJa1PvOEffx05hpr5uAOVtNGHayhc7+zsu1vf7UyE0fZv1Pm96ppo+5W7BuvW3EvrbEyT5sTjlnpiU9YPc2xG6ZYyY66ijdY9JvT+xOt4W2GWDO/zrTsak5nWqn/mmD1bBRjxaXmt2yXOL3diu/d0mraqK01NHGvWyXOY4Vlfk2dZl1m99P0ta01dG6ilZS41cp2jLfpDTOt1Gy7RcuyCsd22bRUy13J7mNUY6vV4PnWdrvMCSvz61nW0KjGVtOosVbS/ny3wk4ds7bPfcC6bPBM67P0Y/ndz1xhTbrB9L+fFZd6pPBUy7JO28f6WbGJ2/OtT2da62cMsVo1cm2zSBEvH/LbbRVV1NNnXZmJ1lBj1Waaleo+eC8t2V87y0XdYQ1//nWXsX5tzZ/Q22raqKXV84kVjuvDsvyak/0rrFjj6py7wYlWpnsfTu+3kp/obTW94QkrqcB3jTXzgSHW0EHmuvVwjRTMu/PaPG1lpydasfaceGnPbqef1XNCopVebN4fsOK358+te/eKfz5tZW+fbw2N6mANneH8fXG9hrzV5fzdLbyui9fNN+Eo4C0GobIOxluFZa2PcggggAACCCAQWoF9+/ZZI4YPt/+Z975eGzdutG+ATVDD3AzzKlnA2JrgRjBfJpBkghDB8p/1yizL/ONlBJw3Rp6CGkes1Gn9rKZRT1jJx5w3+A617K+tOPuGr4M1PPGH/ICDfchZn2vAwyntqM/cjE9Itnzf8v3PSp97t9W02I2rqWdU0aBGwTg83LAWHHO/+cu2UqfF5N8g955rpbsN0dnrkoMajj4Wu1H+r5U84WqraaOrrdjk/xZWZZ2w9ieOtVoVC3Z46cvpH6ykB662+s7d7mJsqnPW39LDMZfmCt6etrJTZ1o9i/XHnOAyLw8kWvvdHZzBiTIHNUq6ftx9vDgUjMO8KQwyFb82vPmauFqyIyDifo0459C9L6etY8lP5AePirk42il23RSWaVrsWJFBFH5w/C4V/51wzpm34Jjzd839ui6smnfhKeAtBsHjJ5VjwQ2jQAABBBBAICABkzvD3+SeZqvPV2e9qnFjxihuxgw9/MgjJT6aElDHKlFhZx4M4xeslzNnx0svvhhwlSQH9Z8wLyNJT89IU2S/axXtvjdk9dbqf38PRSpLy+Z+ru/dHl2QaqnlpY3yt/8saLKm2tx4k1pJyk1IVtrxYoUKzsx/40iEuGalvjrg+siKqaer6ridXfaPtdT13u5qXqY7hrN0QeOmilQTtWxob3bq6EbhThs/Hv2lsGs5m7TotWVSvz66tt5Zhd+rutrcOV4DomqpRZeL9Se7L3nK2bhEry+9UH07NXLbNrW66je70Ehqc+JaD/4uVZu3eRlaPPlV7Yjsom7R7jsi1VSb2+9Rj0gpd+n7Wv69S3/dqinTR08JRqtfpvsevVWR2qOFC74s+riT3UhJc1JNdRo2UU1PnTm+RrMeT/LgK6lGM7W7slbxUnk/aE3iN5IuVLP6rnMYoRrR16qPcVn5jdJzXK5Xex5XqunNHdW0yHUToer1m6ipaWXTCq3xafmLMt6foZe21VGf7pcof7NgZxcjVL1NHw2LqSvlLlP8sl0lPz7jLMbPSitQ5FKrtKNkYAgggAACCCDgUcDcyN55++321qNfp6X6TO5pzr9v0CBlZx/Xx0uXqnXr1h7r5cviAs4AhNkqNZgvZ86OTZs2BQL1sdQAACAASURBVFQtyUH95ftF369eoc2KVNNmf3ILTpg6zlK9Dteog3nr181bfrsRTTuqb2tzl7heG3fayTxK6FA1nVOrtpSbpPFX3qaJ8SnKcNxYRjTvqwHRrjegJVRTrociVKPLZH27e7HGRpvb7Py8EIlx4zRoxrZiLedlbtHKbbked1FxbpH68bj2Du+Tyvz2K+3Qaj19XZRL3hCTTyFKMU+uzq8/Y5f2u95wF2tVyvt+rZI25UrNm6h+9eK3RhH12ul6+4b/GyWt/uEM3DxHqMZf2uZfP6m7dMCZnMRD3/3/Kk/H05K1JLeWOrRr5hYgMLXU1IUX1y2husM6ku3WkcgaOu93JnZ0RMdyC4Ma+fN4RJufvEEXOXKsNHP8vOi6ydpst7JXO/ebvC8lvLwGVBxlIurpiuvb+x+8KqEpDoW/QPHf3PAfEyNAAAEEEEAAAR8CZrXAWwsW6P6hQzV46FBNeeYZ1a7t/lfKwkrcz2d1RqFNad6ZAMSid98JatJQk8DVrJgxK2fKugqE5KClmcUc7d9pNjH9nf5Y8w9uqwQc9dRpqJb2H7493Ax6ayriD6r5R3OX6M/r92p+62Oa2N3ciH6rhU/eq5hLOmlYXFLx5In+VFeu5zgTf3bSlc+lSm2Ha+aYKLcW85Szf5e+d/vW+0fnlp03aeq6DO3cvcvzv62T1cV9JU2RSl3a/WNNnePxzsh5w5+rvUd+PgNBDZcOHtmlvQfdggkuh/1/m6ud36yXr1BZsfoiGunKm9tK+kErv91fdOy5x3XohKTW0Wp5frWCovlb/NZS1+lfeJ4Te65W6ukuPtYT5WRqZ4bpcW3VPKew/oKG5LIqZc8RZRfGVQpP4V2VEfD4q1tlRs9AEUAAAQQQqIICztUW27Zt0/sJCfK1y4XZCeVv48fL3/OrIKnfQzYBiDFjx8qsigjmy6yYienZUwmLF5e6WhMIeXbKFJnHY3j5I/CLjmVlmy0vlLbrp4JdPvwpGdRzql+sgXM+1dL4SbozKlJSlj6fMU79u47RvB3Hg9pUmSvL2aElsbep84CP9Zv7E7Vxzjjd3OUiDysFCls4eeh4KW6+D+uo+wqCwqr8eJen3KNH8tsL2qoIP5r195RaTXRhHU839P5W4DyvrFuc/l7N//q85gxsps1PPqKnUg7kBzbMvD4fp4W50Ro5qa+Hx5NO6L9HAwwA5R7Vj3YUZqd2HQjyYz9OFn5WGgGCGpVmKhkIAggggAACJQu4r7bwtTrD1Oaaa8Of80vuAUeNgNke9/ChQ3KujgiWitni9Y05c0q9CsQ8DtP/9jtkHo/h5Y9AHbXs3NI+8eiWPTpYYpFmalLv9yWeUfxgacrUUPMug/T00rWFwY3cf+vpRxKUEfK/XB9V2uzHNX7BT+rx7EQ92L6u51UtNkCEImvUlMmkUWJOkeNpStno+thCSY+E5On46lXaVOJCh2o6/+JoO5eJfK6KqKXoJucrGCGG4nNe9Ju87KP6r/nqsiaqF5QGnatNyhBsiKinq4eP1sABV6r6glvyHym5pJ9e182as3yu49Giov33mc+k2Dy6l5d0fpQ6mcexlKWte456OMHlq6A5udTJ27ASIKgRVtNFZxFAAAEEECibQGlXZxw+fFgPjhihZcuWaeXqL33m2ihbr6puqaemTLFXR5T1cRFPcubxocdjY/VEbKzfj6GY68I8DmMei+Hlr8BZ+tOlV6iFOb1Yok5HHY6l+ZExXdXeZWl+/tGfdei4h788H9+pDWuOFFvO77lXOUqbn+QSuHAEN96L10izamNTmrb+5Lybd97Qeq6pxD6VVMTXsVP/0ap/pUmRPdS/a4MSAhr5FVVr1lYx5h4293298EaqXEMX+Wec1IGV3yviz+akSDVr216RJhno89M13+PKlMNKS/1RkT7udiL+dLGusVe6rNen6xwrEYqM7RcdP/SzFHmNel1+fpEj5fPhpLK2bNL3qqseN0YrOC26ePmTPNV1YDnrNfP+NbrqkYf1tzlrHY+UbNHHUwapS/Oi6TtNsYJ53PSaXvjXFg/zaPJ7bNS+P/iI1kRcoFZd/mKviFr36QYdKBaky1Pu8aM6GVQn14HzPpwEfPyah9NQ6CsCCCCAAAIIuAuYm2azU4nJnTF67FifuTNMebOC4NZ+/dSjRw+9/Morql+/vnu1fA5QwKyKMI+LBDtpqHmUqGmzZn4/hkJyUH8m0v0Rh6I7L7z+7ia3GzdnUsZo3Te0i+oV+6/tg0r7ZpdbmZM68PkSLfG6nN9DPw9+ro83uv0Fu3qUru7RSIqspXML7uYdSUXl4a/0OZnatd8kRshWkZ1ICprzUKbgWNE3Xh8bcUskWbSUy6caHfTXRzrZiR93zBith+KWFyQ/lU4qa/08zdrV2LHbTIRqXH2XxtuJVf+tp28er+lJacpy3vjmZSlt/mtKaXiF2w4cLu0537ruVvPaEm10Tyx6/Dt9lnBQLYbepW5FdmVxViDpxFEdd0mW6XKk5Leeyjl3gYl5VLG9G3oIBvk/J4WNR6hGuxt1nx3wek1xH+wpmh8j77D2ph8xA3F7bMSstvmnXjpZUyWmJilsSCqYxyx9/uQQPVQkz4vJr/KOpiX/UV2b+lrB5LrzzHwtcr/WdVhpK1KUG3WXhnT3FjTzEkB07S/vK4VAsf+ZrRSjYhAIIIAAAgggILMbRq+YmIKdSjp27FiiilmdETthgt6YPVuvzZ7N6owStQI/aB4XMaskTM6SYL4eGj/efgzFV73Ox1985VQJZt/Cq67f69y650j6Xl9t+Ul5Oqq0+HeVZm56IxqqzwszNTJKsm/AZ6513FCbm+/X9bcRy9Thyac0xN71w33Uv5OWvaLnknY4AhumzJt68vF1JZRxr8N83qmX+g3UxPnrHW3nKWdHkl6dfUQ9nh2sqwvuQn+vpp26q5VZ1fDu+1qVZbaANTeXCZqXmCHVNclJj+jzsVepWctJSjHbyeb8oM1bzE1urr7fmekWgHHpS95P2v7ND/YXuamriyYprdZQbXo1lPSZXp+1Mr+PORn6fOYMzfm28Ab6VNYqLUg5IMnkb3hWU802nXZ+kGGKuaSpY2eTFur8xE/q1r914W4zES10z2szNcDcqOeu0Etjb1HnP5vdT5qo2Z+7aeLODnrAY1DApf/227NUr+8kxY+JlrZN06Cxr2uDbSTlZa3Viw89piVXPqZpQy8rbNsud1JZ27fI/u3N3aiUtKyigQL3Zlw/V2+uTibJa+6/NPqhl/V5Rn4OFLu9saP1Zv3H9N4LvYsGxPyak6P6duWXskNd7quIql+mIdMfU9fILC0bO0qTnNdNXpY2zJqvT+3FQ7mOXUsGaF6G+SJHe7fssl36F8yFw9i5s0nLoXpxvevYnXk4Li3M89KhReE8TtilLsOvLzo2VxuX9xH1euv5BQ+phdL00oCHC9sxfZ75mEYntNTE6QMV7bZrTV7WDn1jB+sOKi15U2Gwy6Vu3lYyAauMr6aNGpexJMUQQAABBBBAoDwFcnNzreefe8669pprrI0bN/rVlDnPnL9g/nzLlOd1ZgSSEhOtCY8/HvTGTL0jhg/3Wq+ZYzPf6enpXs/hgGWdzlxjzRzcwWraqKXVc8JbVmrmiaIs2elW8uJp1tCoxpb5b+OmjTpYQ6ctspLTjxU9z/6010oa3NZq2ijGiktOtT6bNsRqZZdpbLUaPM1KSE63sj2U8vxVtpX6r0Qr/VjR9k09SamZ1ulihU5YmV/PKuhn4Xn5fbLbT1xqj+/X1GnWZY5+5Y8pf2yXTUu1fi2oN9tKnRbjGLNz7M6fMVZcqmMk2dutpAm9Hef1tmLnJlvp2b9a2akzrZ6mjRsmWPHu4z6daaUmuphGDbHiFq+00rOLj8p053RmqvXh3An59Zk6zfmJqVam59MLRlD8zTErPXmRFWfPd/5YvM2LNyPjVdSpeCuF3wTeXpG2MhOtocXmra01NHFvYZPWaSs7PdmKL5gTc13PtZLT99vzmX8dfOBy/ZrzE63YG1p6mWvnnPez4lKPuLRjT4yV+sEbLmXN70Zi8d+hoqU8fDJ9WGkluPy+2HPs6Zr4NdWKa+Psk9vPNtOs1MIL2EM7fBUOAt5iEP9nOl+WOI2Jgprtk3ghgAACCCCAQMURMKszzNae5tGGkaNGyey2UdLLPJ7y0osvauknn9irM0gWWZJW+Ry78/bb7UeDfK2kKW3rJieKeYTIJCZ1f5lHkrKzj8tszcvrTAns05IhvTV+RV2NTFiksdHVz1TDtINAmQXysj7TM7NyNXjSTR5XV+RlpenDhbP0vIZr5bjoM5JItcyDoWDYC3iLQfD4SdhPLQNAAAEEEEBAdmLIF55/3g5oxM2YYd+s+gpoOB9PMX4fL13K7hchupBM0tAJjz3md3JPf7v5+IQJGj92nMxjRa4vZ3JQ8/gLLwQQQMCrQN4effhMsi693/vjIhF1o9Xnzl5q57USDiBQ/gIENcrfmBYQQAABBBAoVwGTG8HkzqhXr54dnGjdunWJ7Tm3djUrOvwNgJRYIQcDEjCrY67s1Mnv5J7+NmYSvE6dHqdpU6cWKWKSg44ZO1ZmtxReCCCAgGeBkzrwQZwm7mmmlnXNZrveX3nZZ6n9NX9mlYZ3Io6Us4CPvXTKuXWqRwABBBBAAIEyC5i/wJsb1u937vT70RHzV3qz5afZIeP9hARubMusH9yCJrnn5dGXqcu11wZ1txnz6Mk7CxfaO9qYhKAmAHb40CGPj6QEd0TU5l3AuSMDj594N+JI6AWOK31DmnIzpK1ZJ9Xc284vefu0ansD9b2pZui7TA+qrAArNars1DNwBBBAAIFwFnBuuxoVFaU34+P9enRkSVKSvbXr4KFD/draNZx9wq3vZtWEWVUx65VXgt5183jLs1Om6MCBA/ZP85nXmRcosiNDsS1dz3x/aBGBkgVqq909Q9VVSRrf/UFNT1jlssWuKWl20Pm3lnz8k/7S61K3nWFKrpmjCARbgEShwRalPgQQQAABBMpRwHV1hrk59Sexp9na89lnnrF79fSUKazOKMf5CaRq81jQfYMGlUvS0LcWLNCid99V56uuIjloIJNUprLOBKFmG1PX102aum6a+tRl4bSrCu8rmEBOhlJWfKHPXpuqhdtyHZ2rq65jxqr3NdeoZ3Rd8VfyCjZnlbg73hKFEtSoxJPO0BBAAAEEKpeAWZ1h/uJuEjz2u+UWnzubmNGb1RkmWaRZBeBpF4zKJRT+ozHJW//57LP26htfiV5LM9rvNn+n2/r10+tvvqGrrrqqNEU5FwEEEEAAgQoh4C2oQWi4QkwPnUAAAQQQQMC7gOtKi/lvveVXzgXnio4jR45o5eov/SrjvQccOVMCJsmryXey7NNPgxqEmjXrFT0w8kFNmjjRTiYbzIDJmbKhHQQQQAABBDwJsFrIkwrfIYAAAgggUEEEzEqLazp1Vo8ePfTyK6/4FZxwzbfhb5kKMly6IckkDfW0FWtZcZzJQceMGaOYnj310osvlrUqyiGAAAIIIFDhBFipUeGmhA4hgAACCCAgua7O8HelhcnJ8MyUKaXaDQXriifgTBpqdraZ4siF4quXZmXO3r175b6dr7kmzCNLr82ebVcxctQoe/vfHtdfX+xcX21wHAEEEEAAgYoowEqNijgr9AkBBBBAoEoLlGV1hsnF0CsmRg0aXOj3bihVGrmCD94EHdasXi0zr/68TEDjvUWLip06L36evTrDmVDWPHYSN2OGnbfDBDx4IYAAAgggEO4CBDXCfQbpPwIIIIBApREwqzMeHDFCy5Yts/Ng+JPY09yYvvD88xo3Zox9s/rA8Af8SiBaadAq6UBM8OGZf/zD7+DD7l271L59+yIaGRkZWvTuO3ZiWdcDzrwdCYsXu35dJd+bR3PM7w8vBBBAAIHwFSCoEb5zR88RQAABBCqJgAlMmC0377n7bt3cr5/fuTPMTavZAtS8Pl66lMcJKsn14BxGx44dC5KGOr8rzc/pcXEaM3asxy18Td6ON+bMkbmGqurL+WhO35tvrqoEjBsBBBCoFALk1KgU08ggEEAAAQTCVcDcVD4RG2vfvL6fkODxBtTT2MxjCaNHjlSzZs117NgxO5eG+3nuf7l3Px5Onxs3aaLIyMhw6rLXvjZo0MDv1TTDR4zQtm3bvNblPJCZmaVmzZs5P8qZHNTbah+Tt+Px2Fj72nszPt7v/hQ0UAneuD+aE7ohnVRW2uf6as8BbXhttn68/z293rdBYXdytmje2CF6ek0HTV3xnPrUO6vwWNi+y1NOxiotnhenpxd8KylSLQY8rIcH9lOX5jXCdlR0HAEEQiNAUCM07rSKAAIIIFDFBcxfic3yf/PXcnNz2b1791KJmEcIFr77rn7++WeP5XJzc2UeSagsL0/5IsJ1bO+89Xapuv63Rx/1eX3s27dX3bp3s+t1rkBwJgf11pi55lKSk4O+fay39irS985Hc0wgMdSvU2kv68Z+M3XU7kgtdQ11h8q9/ZPKSnlBwxc00j+nJ2rnUz9pw0sTdd+0yRqSsEtz1k1SlxosJi/3aSjnBvIOJGlk93FaluvWUNRDWvTeg4qu7j7H7oGuuuo65ik9PLSbmhc7161OPlZ5AYIaVf4SAAABBBBA4EwJmB0q0tLSlJiQoNQNG3TLrbeqNKsz3PtZr14996+KfHbfCaPIwTD74G3FQZgNw+6uvzualHVsnlYgmGvP7KZy7rnn6uFHHimo2jyGcnn0ZbqkVSs1bdq04PvK/mZefLzXR3PO9NirRY/Tht33KCX2Fg1ZkF28+eoXa+CctRpY/EhYfpN34BM9NWKx/vjsB2ph36zWVbuRkzXz0E8a8nUdEc8w0/qLMlI26ZwuV6huWM7yQa16Ja54QEN11eP+PmpTLEiRH+gaPOgj1X9omr78T0fVzd2hJf98RDG3fa05cx9Wl7qVYYVSWE5mWHTaPUQWFp2mkwgggAACCISLgLmZNI8CmASg5ubxm7Q0DbjnHiWvXGnfXJrHAHghEKiAWf1x3nnn2Tky3JODmt10zLVnHkdyDWiYNs3198jjj2libGygXQib8mvXrrW3Pa5YgbLfq8Z5fwgbw7J39Bd9v+x9Lcs9RxfU/H1hNRH11GXyEu1cOsrDX/ALT6sy746v07/ezQzT4eYpJ22hZmiy0nbv0s4i/9bqlb4N5X4Dmh/omqO9MY/qyZEdVdecUL2F+jwyTnf+MEejJ3+iA3lhykG3z4iA+zV1RhqlEQQQQAABBCqzgLdAxuZtW+2bSpMA0uxuwQuBYAqYAIVrclB/d9MZNmyYrLw8mZv9yv4yj+ZMeOwxPTVlSmUfagUd3yllHzks6Q86r4ZLUKOC9jYk3co7oJSpcVr4a0haD7zRvH36bO6PGjTiSvmXHcW5qqOh+tzeWfVc705rtNPNQ6OUuzROs1YdDLxv1FBpBVwvm0o7SAaGAAIIIIBAeQsQyChvYer3JmBu1M3LNTmoWZ1xTafO6tGjh1+76YweO1Yzp0/31kSl+d7ksYnp2VPNmzevNGMKr4Ec1d4tWeHV5TPZ27wsbXhpkkbPM8lTw/GVp+Or3tDED9/S+Cuv0bC4d7UkJUM5JQ3l+Hf6LGGPpNZq95eabmdGqlnb9orUHi2M+0gZrNZw8+GjU4CghlOCnwgggAACCJRSgEBGKcE4vVwE9u3bp1tv769np0zRg6NG2Y86LVu2TCtXfyl/H7Ewq4fMqzKv1jArV0xi3sFDhvgxD8eVkfKhlsTHqlfj0VqSlaustLc1MeZiNWvcR0+mHFD+/ZXZuSRJ04d0VLPGTRz/+mhifIoycrzdgZm64x11NVGzmFgtSMt01OfWtbwspX2Y5NKPU/knZCVpWEF7TdRsSJIKQgVux9rFpclRylG5Sci4vLDPdvtZOpWRpAVpJd5+unXOjP0TzYvtUzj2mFjN+zBNWe5DP5Wm6W2Nz1Uav+KIpG16qV8rR7memu5vu8YjKU7DWjqtO2pYXJLSsk46+rZPS4ZEF/bHnjvn6N2OtY1TmvOQfM33WiUUqTe//SK2BWN09M1lTvKy0rQkbqguLZizi9UrNl4pGccLTc0uN8Nu1h3TVsjOrblinDrb50drWNKX5TQu53VsupGfqDPRtZ9mPn0FJQpHIOWk6s3n3s/vv7L0+Yy/a/ygHmoTM0lLXMdaUCZPx9OStcQMuFYTXVjHPd1jhKrXbyI720/GLu339DuVk6GUpCTZ/XbMaVFvc40sd/w+mjGmuFyzHTVs5tri12tB/3gTNgJWGV9NGzUuY0mKIYAAAgggEL4Chw4dspYvX26NGD7cMv9f+Pxzz1lr1qyxcnNzw3dQ9DysBdLT063eN95o3TdokH1NJiUmlmk85jo213VlfU14/HHLP5tsK3VajG1pfsebNnrAiv8g0UrafsTK3j7fGhrV0uo57Wsr2zph7U8ca7Vq1MEaOvc7K9vAnc601s8YYrVq1Nhq9UCitf+0m+bp/VbyE72tpjc8YSWlH7MPns5cY818YIg1dFAHq2mjttbQxL2OQv+1kidc7dKPUVZS5q8uFf7PSp97d/7xwYlWpssRyyo8dtm0VMu11On9idbwNkOsmV9nWnb3Tmdaqf+aYPVsFGPFpdqjKFKT5w/HrO1zH7BaRRWtp2Dsg+db27PdB29q2mslDW5rNS1VW44eZH9nxQ+OsYZOW2al23WfsDKTp1g9zRzdMNNKdWnvdPpcq689d+5mllVwrM00K9WG8Xe+j1npiU/kt9foais2+b8eaMyc9S68HswlYbyjGlutCkxOWJlfz7KGRjW2mkaNtZL2nyhaT2aiNdT0vdicuvS9UTDHZZp3WLpfl4PNNelyfRftqfdP5pr6INFKmJb/u5D/e9TbmpS8P/+aKyhZeJ027T3XSvd0yTg9PF0zp7db8b1bFv6OtJliJa1baiUlp+f/PtrXjBlDY6vVhMXW+g/mW/ErHMecv4uNWlp9525361dBB3lTwQTMXHp6sVIjbMJPdBQBBBBAIFQCrMgIlTzt+iNw8OBBbdn8nf4vIqJUqzPc6zarNbZt3SqzoqGyvUqXHLS6osd9op07F2tkLSOxSkmHonRTi5qq3mKAXt+6RR+Pa6/qebu0fO4y5aq9et3QQtXNqRF11W7Q3eoTKeWu/EbpRf6yfFIHPnhBo9/7s6a+MUF9mudnHIio21GjnrtbF3xVsNbCwV9HXaas1M51cV62ea2mc2p6SzTs7ZgjUedlvXRb+7r5CRsj6ir6nr/p6THN/Jx2kwhynh56cqv6vPIPjXKpp93oFxQ/Jlq5Kybqtoc/CF5yx7w9WvLwEE397TA9OeY6xxafZ6lu5xhdZ+Zo26t6+v2MgtUuEefU1B+9jKb4MT/nWzXUvO8oPTygoZeazWKHQ/phWzvd1S8q/3qQMzFqLXW4sYtjt5ezVLf9rbqrX0MpN00b0l1Wa3iv2T5SvO+FBYof83dcUn6izm3qP/OxotfltH/ozsgsff7kP7Q445fCxny9M9fUTX1187jZ2rjubY3pbvZw+VYLRrygDw84V9WYSpw5ViT9sabOKe2daUQLDVyyRdsTRst+cOXEQenCrurTpXm+f/WLdfeI/vax3ITl2nJRbw3s5jgWUU9XD7hZrZSrzYlr9b376iJfY+R4hRIo7aVToTpPZxBAAAEEECgvAQIZ5SVLvcEW+OnHHzV1epzmvPGG6tevH1D1/W+/QynJyQHVUdEKB54ctJsG3dC02I4NijhPjVrVkaKa60LXLSoja+i830nKPaJjuS53SsfXaNbjSVK/Prq2ntv2lDWaqd2VdgSlOF+dhmrp5VDxk31947iJXLNSXxW5uaypNjd2VR1fxc3xvAwtnvyqdkR2Ubdo96BKTbW5/R71MEGdpe9r+feluBH22naecjYu0etLzyqeSLLaJbojboha6C+65tILis+R1zpLOuBlvu0idXT1wHvVSnu0ZMV3KhqOMP1coa9u6q+rC/alPUsXNG6qSDVRy4Z22MvRsHO3m2z9eDQYRiWNx3nM27iOauO787WseXdd2dQteWv1P6lZ80hJ3yhp9Q8FQSNnjf78tIN202dqZJS5KJYpftkul3pKk2MlS1v3HPXYZLV6TRRtjvyuoS48v+jvVuGxi9SqadHUpQWBoD1HlO3yq+qxEb6s0AIENSr09NA5BBBAAIEzKUAg40xq01awBEzeDH9zZ/hqs1v3bvroww99nRZWx8svOahjJUXBNqQmL8N7mv7Ag3rJpI0o8nLmDqilDu2aedgVoqYuvNj8Nbu8X9V0Tq3aUm6Sxl95W5HcHxHN+2pAtOuNt+e+5H2/VkmbcqXmTVTfNZjjOD2iXjtdbwdoyn4jXLTlk8r89ivt8Lhjylmq22WCPt69WGOj3ZNMFq0lWJ8imnZU39aRyk1YouQigaHD2pCwQ1d0auQSXIlQjS6T9W1B/5x5K8Zp0IxtwepSYPXk/ajNKdulTZMV82dnrhLHzz/foKfNXCtX3+/MLDnhZ0m9qN5eo2c+7GFVRGmu+7pq2fDMzHFJQ+FYxRQgqFEx54VeIYAAAgicIQECGWcImmbCQsDsCvLjjz9WmkdQSpcctIxTVJC88nq98I3UZvwUx2MrrvXlauc36x0JFF2/P9Pvf6/mtz6miY7HARY+ea9iLunklmyzpD7lKWf/Ln1vTvH6uIDzRjVXe4/87PJX+ZLqLelYjvbv3FvSCWf2WERz3TzuVkW6rzo4/p1SjnXVde6rHezeORPKdtKVz6VKbYdr5pioM9tvb63l/awje3Kl7nH6cvcu7fTy79spXTwE47xVWvx7ZzBIrIoojsM3AQsQ1AiYkAoQQAABBMJNgEBGuM0Y/T2TAmbL023bKshfkQMc+KxXXtGYsWNVu7b7YxIBVmwXN391T9LEXt006KOzNezzlXp93G3q0tzTsyKlWWYfVBcJzgAAIABJREFUjL6VUEf1izVwzqdaGj9Jd5pHAuxdKsapf9cxmrej6AMVxWvJU+7RI/nBmdRdOlCwe0jxM4P/zc86dPxMPapRUu8jVCP6WvWJzNXm59/WquPmuYVflJGQoNO3dFY997urnB1aEnubOg/4WL+5P1Eb54zTzV0uCihAUFLvynzsv0fL9xGMiPpq1aWR1LCWS+4M55atkrxcT6cO7FKaGVRke7VpZq5XXggUF3D/tSt+Bt8ggAACCCBQCQQIZFSCSWQIZ0SgbXS0vkmzbyPOSHvl1UjpkoOWoRc5qZozeoIW/tBDTz91n9rVLfosf9EanasXTui/R4OxeqFo7aX/VEPNuwzS00vXFgY3cv+tpx9JUEaJuQWq6fyLo9XKNHhkl/YeLCmqUUvRTc6X+yadpe+rM/+EpzwWztrydHz1Km0qqTvOU4Pxs0YH/fWRTlJuij5LOyzl/aA1H/7RQ46Ro0qb/bjGL/hJPZ6dqAedSVWD0Ydg17FphdZ4zYFyUKtTtrltDVyWDvxWLbpcrD8V3IFGqPpFbdXZxCpOHNVx1xw0dvWndHDPLplMGpH9rlV0Qa6SsrRNmcosUHBJVeZBMjYEEEAAgaopQCCjas47ow5MICoqSmmpqYFVEuLSgScH9T2AU+lfasG2XEV6SvxZrLjzL9LB3Gmhmuo0bJK/60Ox9gq/OHnouMtjLzlKm5/kErhwBDfei89P5LgpTVt/KjkyEPGni3WNvcJjvT5dd8DD4yW/6Pihn6XIa9Tr8vMLO1Lmd047KXfBi3ozzUOyyLx9WvWf36qJM4LiT3JVjzfR/nby92raqbudMHRh3AfakLxIHxVJEOqo59R/tOpfaVJkD/Xv2sAl14a/7bidVx7jqtZQbXqZHV1Wa+pz72tHkR17HO0f36q0vRGB9T9vvzZ/eZGG3d7asTNMft0R9Tqrv70TjCNAVGTIR7V9wyZJDdWn+yUVb3VLkb7yIZQCBDVCqU/bCCCAAAJBFyCQEXRSKqxiAmYHlfVffR3Wow5uctDDOprt/UY/N+uoS9DAG1uEarS7UfeZYMCm1xT3wZ6iwYC8w9qbbrKLlm4lR8Q5tXShabLYowM5OrArf2veYv07+Lk+3ugWGKgepat7NJIia+ncSB+3B9Vbq//9PRSpLC17bYk2ut8EH/9OnyUcVIuhd6mb+y4vBTyleZQkQjWuvkvjW5s/56fppQEPa/pnGYVJK/OytOGledp1cVThTW/EH1SroTnffe7ylHNgr2wZ991pCvrmXqbgQJE3Ec1v1BizveumeZr0//boxiIJQoucWnwnHLfDHj8Wm1OzZXB5jMu5o4vyt+IdO0NL0rIKrs+8rPVaMHWtGnZr4juokZelTRsLyxaOy2xnPF9p94zSTcWuiTq6esQ49Yj0sBLHvpb2KDJmnIZf7X1vnrzso/pvYWOlfxdQgKv0zVEi+AI+/lcr+A1SIwIIIIAAAsEWIJARbFHqq+oC1/eMUUZGRlgyBCc5aJ5yvt+qrScMwV7t3J9TzKJas7aKMffNK+bq1RSzYsHk2FiuF+Pm61u7nLk5zlVWSoJSsk5J1S/TkOmPqWtklpaNHaVJ89cryzzqYW7KZ83Xp3a6iFxtfvIGXdR4gOZlmC/ylPPtai23d1MpvjKiIPnipkS9tSp/1YS5CX07/hP94LzFXzFOnRtfo4kpBx1j2KmX+g3URGf7po0dSXp19hH1eHawy3akxYbs+OIs1es7SfFjoqVt0zRo7OvakHXSPpaXtVYvPvSYllz5mKYNvazIX+TNCXlZO/TNfoNzUGnJm/LH760Z1+8jWuieWc/YW8Uqd4VeGtxDbRo7d+jopkmHrtRtbVx2xohopCtvbmtvRbpoweoC57S3/6Wk3ad0gV33hxrfobkujU3RcWPgY75du5P/vraiu3dRpPZob+NenhOEFqyC+Eyvz1qZ34+cDH0+c4bmfFsYxDqVtUoLUg7kVxtZUxeY6ypjk7Ya15w0zYtPyw/ilNO4IprfpVnxZmtcE9iYqfH9Ouoih+9FHaZo57X3eAhGuIvkKG3GfbqlbzfdFBuvlAxHfhYz3rhn9Lru0TN9G3oMjETU66knXhmiCxfE6YWkHfZYndfSwkZDNHNSz+K5SgqaP6msLZvyk9ce+VKrvnUN2J3UgXUrtc6c6+FY1vYtjgDXRqW4BHIKquZN+AhYZXw1bdS4jCUphgACCCCAQOAChw4dspYvX26NGD7cMv+f9Pxzz1lr1qyxcnNzA6+cGhCo4gITHn/c2rhxY1gqmL4nJSYG0PdsK3VajP2/K+Z/Wwr/xVhxqdku9Z62stMTrdgbWuafc8MEKz453cq2jlip0/pZTRu1tHpOmGslpx9zK5NsxU/o7ajXec5+u81Wg6dZCYkfOMrstZIGt3Vp39GXwYlWpmuNmWusmYM75J8XNcSKS0y1Mk//amUmjrKams+LE60PUzOt03aZbCv1X4lW+rF0K3nxNGtoVH6dpt2kgnNcKi/x7TErPXmRFedsu1Fjy+6/beBW8NdUK66Nq6XL+zbTrNRf3c738vF0ZqqVNG2I1coxL17bM+VPZ1rrZzjP7WANnZZopWaesKzMRGtoI/P5HSvpA2Pl73x76FT211bcDd2t2OT/ejjo+Cp7u5VUMN+9rdi5yVZ69q9WdupMq6cZR8F146zihJX59SzH3PS2Yv/1tZWZP3n5J5TbuE5Ymakfu1yb+fNZmuvidObX1vyCsTZ2XH9L892dw/P607Sf6HI9Oa1cB+9W2Nt1ZX5H7Hl2uc6cv8vmWEnl3JrgY8US8BaD+D/TzbKEYJo1bmJv+VOWspRBAAEEEECgLAJmRUZaWpoSExL06SdLdf+I4ep81VVq06aNzj777LJUSRkEEPAgsCQpyf62T9++Ho5W3K9MctCZ06dr4bvvVtxO0jMEEEAAgTIJeItBONPplKlSCiGAAAIIIFDeAp4CGQPuuUf/b+pUAhnljU/9CISRgDM56GuzZ4dRr+kqAggggECgAuTUCFSQ8ggggAAC5SawYsUKXR59mb29pAlkbN62VQ8/8og6duxIQKPc1KkYAekP1asrMzMrrCiCmxw0rIZOZxFAAIEqLcBKjSo9/QweAQQQqNgCOzN26tU5s9W9e/eK3VF6h0AlE2jUqJFSkpPDZlTO5KDvJySETZ/pKAIIIIBAcAQIagTHkVoQQAABBMpBYN++verWvVs51Oy9SrOEfd++ffpu83fau2+v9u/bV+Tkdu0vV4MG9dWwYUOZrS95IRBMAfO41aFDh4pV2aBBA1YnFVMp/GLWK69ozNixql27duGXvEMAAQQQqBICBDWqxDQzSAQQQAABXwImweBnK1Yo/o031bFzZ13SqpUiIyN1dZeuBUWPHjmirKwsfbXuK61bu0YX1L1Affr00Y033cTNVIESb0ojYIIYGzZs0PJly5T4/mLVrVdPrdu00enTpwuqMYG21atW6dK2bdW1a1dddfVVat26dcHxqv7G/O5+v3OnpjzzTFWnYPwIIIBAlRQgqFElp51BI4AAAgg4BVZ/uVpTp07VqV9/Ve++N+udxQn63e9+5zxc5KdZneF8Dbz3Xu3Zs0dfr1tn5/0Y/dA4DRgwgOCGE4ifJQpkZGRo0aJFmjt7ju7+60C1aXuZ+t58i2qce67Hcn975FH99NNP2rrlO02cEKujR49qzLix6tmzZ5VewUFyUI+XC18igAACVUqAoEaVmm4GiwACCISXgPnrq1ktUR4v8xfyf/7jH9q+bbtuv/MuXVqGv3ybIIf51+P667Xs00/V56bemjjpCfXo0aM8ukydlUDA3ITPnj1bi955V7ffeWeJQTT34Z5//vk6//yu6nJtVzug9tEHH2hG3HTNePFFtW3bxv30KvHZJAe9slMnNW/evEqMl0EigAACCBQX+D/LsqziX/v+xtsesb5LcgYCCCCAAAL+CZTX/9ds2rRJI0c8qBt791a37td5XZnhXy8LzzIrN159+SV17HSlxo0bV6X/gl6owjungFmdMXjQvbq8Q0fdcdddQbnu0tN3aN6bb6rDlR2Des2ZRzq+/OILe7chZ/8r2k+THPSaTp31dVoqK6Qq2uTQHwQQQKAcBLz9dyFbupYDNlUigAACCFRcAfO4yYMPDNcDIx5Uz143BuXG0jlas2pj0lNPa88PezR61GiZv8rzQsAImOvu3r8O1P0jHpR5dMnbI06l1broohZ6YvJTOnzoSFCvuZ9+/FEXXXRRabtzRs83yUGnTo8joHFG1WkMAQQQqHgCBDUq3pzQIwQQQACBchIwN5aPPvywJj/zbJkeN/GnW+Zm9cFRo1WvXv2g3mT60zbnVEyB8r7uzDVnAiVV6ZpzJgc1j37xQgABBBCo2gIENar2/DN6BBBAoMIKBHuVg1mq/vdHHtFjE5+QyU1Q3q9b+/dXtWq/1Rtz3ijvpqi/Agt8883GgkBaeV935poLVmAjPT1d519wQYWUdSYH/fvjj/OIV4WcITqFAAIInFkBghpn1pvWEEAAAQT8FNi3b5/uuPsuP88u+TRzEzR61CgNvG+wndiz5LODd3Tw0KF2AtFly5YFr1JqChsBk4x29MiRGvfww2ckkGZgTGDjN7/5TcDBtN27d6tOnToV0tqZHJRtbSvk9NApBBBA4IwLENQ44+Q0iAACCCBwpgU++eQTnX9+XV3RoUOpmz5x4oS904TZTrO0L/NYgMmhMGXyU+TXKC1eJTjf7K5jktGavBdn8jVk2P165+23ZRKTlvX16SdL1aBBg7IWL7dyZsXVpNiJemj8+HJrg4oRQAABBMJLgC1dw2u+6C0CCCCAQCkFzF/LHx3/N817622/S5oAxto1X2rZvz/VgX37dEv/27TrP7uUtmGDrurSRT2uv0HNL7rIr2SPJnmo2e3ivUWL9NeBA/3uAyeGt4DJ+WC2C35isv+rjUwAbcf27fph9y5l/Zil30T8RqdOnVLLiy/WRS3+4vdqDxNMGz5ylB595FElJCaUGtIEDtpfcXmFfLSD5KClnk4KIIAAApVegKBGpZ9iBogAAghUbYGPPvxQd/91oGqce65PCHNT+cWqFC1JTNTQYcO08N13VL9+/YJy5jGWjRs3ytT53qJ3NXjoML8eZ7m5Xz8NvPsu3da/f4W8USwYIG+CJjD1hf+n2+/0f9vWL79YZa+u6HxVZ13btasaNWpk9yU3N1ffbd6sKU9OUuu2bXXd9Tf4dc1d2rq13nn7LXvXlU6dO5VqXNu2bdM1Xa4tVZkzcbIzOeiE2Ngz0RxtIIAAAgiEiQBBjTCZKLqJAAIIVDWBH374QQ0aXBjwsOe8PluTnp7isx4T0Hj5xZmqV+9PSkhK8rhN5Nlnn62OHTva/1asWKEpTz2l+4c/qEtatSqxfhNQ6XvLrfriiy/Uo0ePEs/lYPgLmMc+Tp486dcOO87rLvLss/X2OwuLBNGcEiZ3xN0DBqg015wpe8dddys+Pl6lDWokJiRowD33OJuvED+dyUHjZswgMFghZoROIIAAAhVHgJwaFWcu6AkCCCBQ5QXMzeCrs15V1y5d9OyUKfrTn+oGZLJp0yY1atLEr2X7Ce+/p5Yto/TMs896DGi4d6R79+56a+FCTXzs7/In30bb6Gi9t+g992r4XAkFPv33p7rOj61GnQGNK664Qi/PesVjQMOVx3nNvT7rFXv1husxT+/Nao1tW7bIPE5SmlerVpdqwmOPaUlSUoXJBUNy0NLMIOcigAACVUuAoEbVmm9GiwACCFRYAROAiLmuhx3ImP/WW/o8JUV9+vYNqL/fpH3jcxWFacAs7//++50aOWpUqdozj6a8Ome2Xp45w2e5Fn/5i5JXrKgwN4k+O8wJZRZY9M47io6+zGd586hT/fr19MDwB3ye6zzBXHMLFr5tB9OOHzvm/Nrrz27X9dC6deu8Hvd0wPTH/A6uX79e9w0aVOqgiKc6A/mO5KCB6FEWAQQQqPwCBDUq/xwzQgQQQCAsBHbv2qXre8boqquv9vkXa38HtHnzZl3S6lKfp7/37jsaO25cmZa1m7+en3XWWfp206YS2zHJG6/v2VNmq1pelVfA3IDXrF3bZw4XE5AwuVvKsouHCWxMnR6njz/60CfkRS1a6KtSBjVMpaaNKc88I7Mt8T133y2TcDdUL5KDhkqedhFAAIHwECCoER7zRC8RQACBSi9gVmWYfBO39uunB0eMsJe+m8dRzLP0ZX0tSUjQBRdcUGJx8+hItd9Ws/NklHhiCQfHjBurrVu3lHBG/qGGjRpp6xbf5/msiBMqrMCePXtUr149n/1bt26t7rjzLr8edfJUWY/rr9eihQvla7VG48aNtW5t6VZquLZngnb9b79DX6xa5fr1GXvvTA5qxssLAQQQQAABTwIENTyp8B0CCCCAQEgETGDj46VLNez++5WTk6PpcXFqFdVSd95+u154/nk70GFuckoT7DArJEp67frPf9S1a7eSTvF5rEWLFvpi5Uqf50VGRuqXkyd9nscJ4Stw4MABXXzJJT4HsOW779Ste9mvO5O09v4Rw7V79+4S2zJJas22xGV9md+3Re++Y28rW9Y6ylrOmRz0748/XqZVVGVtl3IIIIAAAuElwO4n4TVf9BYBBBCo9ALmZs3s9uDc8cEM2CzpP3jwoMwjKl9+8YWOHTumNatXa8/uH+xHVmrVqqVzzz1XF110ke3TuEkTmQCCPy/Lygs4IWnt2rUDunH0p5+cEx4Cp06f9qujq5KT9ebcN/0619tJ5nrP+vEnb4eLfG8CBOZ3y9fLPGayd+9eO8+M2brYvMyOI82bN/dVNOjHSQ4adFIqRAABBCqlAEGNSjmtDAoBBBCoXALm+X7zzwQ63F9m1YZ5mS1gf87Jsd+/t2iR+2kV7rO5yTT5NRo0aODXzWaFGwAdqhACERG+F93G3Hijfa2ZwIQJEObm5tp9dz4KlZmZpX379tqBQnPgyk6d1L59ez01ZUpIghmmD87koF+npVYIZzqBAAIIIFBxBQhqVNy5oWcIIIAAAn4IOP+C7Pxpijh3TXnnrbd91nDy5En7URefJ5ZwQmnyfiyY9y9NeORRuzaTGPXTT5aWUHN4HWrYuJF9Qxxevfbe26ioKFWvXt37CR6O7Ni2XbVq1/ZwpHy+ysvL81nx0o8+kvlnXu2vuFxNmzWz3zvH17pNa/tRmAmxsRUmwEZyUJ/TygkIIIAAAg4BghpcCggggAACVVqgcZM/66MPlujuAQPK7LBx40bd2KePz/LmL+T3DR6sm/vd7PPccDzBPLpw6NChcOy6xz47VzJ4POjly9OnT3k5UvTrq6+91s4N4xqMK3qG70/p6emqV/9C3ydK2rl7l1/nVYSTnMlBTZCFFwIIIIAAAr4ECGr4EuI4AggggEDYCnTp1k1mN4qGDRt6HYM5tvW77wK6wfz4o490aes2XttwHti9a7duuKHy7uJgcouYf5XlVZaAw/kXXKDF7yf4JGh1aSt9/dVXZX68w6wOeu2VWZrnYzWS2R2lXoMGPvtTUU4w45rw2GN2Hg9/coBUlH7TDwQQQACB0An4fhAzdH2jZQQQQAABBAISuLT1pco8cMBnHXfcfbfi5871eZ6nE0xOjy9WrtKlHvJ9uJ+//N9LdeGF/v1l3b0sn8NDwATJ0tN3+Ozspa3bavbrr5d5y+Jln34qkyvD7G5S0ivrxyxd0eGKkk6pUMdIDlqhpoPOIIAAAmEhQFAjLKaJTiKAAAIIlEXAJDtM3bDBZ9H2l18hkyxxSVKSz3NdTzB/VR42ZIgeeHCkfG0da250W0e3rVQrGVwteJ8vYBLaHj18WGaFREmv888/X9179NBLL75Y0mkej5kkmnHTpqlvv1s8Hnf98tuNm9ShY0fXryrse/P40qTYiXpo/PgK20c6hgACCCBQ8QQIalS8OaFHCCCAAAJBEmjTpo3M6ghfN5gmIHH3PX/VtKnT9NaCBX61bm4s7x04SN2uu06XtGrls4y5uezjR94NnxVxQoUXuOW2W7Vt2zaf/bwhppe2bt2mV2e96vNc5wnmuhtw513666D7ZAIjvl6fLV+mDh06+DqtQhyfNnWqpk6PI/BXIWaDTiCAAALhI0BQI3zmip4igAACCJRSwDyTP/qhcUrzY1tIc4P4xOSntGLFZ3pw+Aht2rTJY2vmr8lmRcc1nTrrqmuuUZ++/Tye5/rliRMn9NmK5brxpptcv+Z9JRXocu21+iAp0efoTDDtwVGj9dVXXyl2wgSZa6ukl0mgaQIat95+u9pffnlJp9rHzOqgC/5U194O2efJIT7B/L59v3OnelxfeXPOhJiY5hFAAIFKK0Ci0Eo7tQwMAQQQQMAIxMTE2CsqOl7ZyecjIiaw8dDfHtb6r7/W5ElP6vDhQ+p81VUyj7GYx1PMjdfyf/9b9w0daido9JXPwDkDa9esVkyvnvwF2glSyX+2bt1a1X77W327aZPPXCvOwMbKlGRdHn2Z7h8x3L7m6tSpU6BkdmF5++239evJX/W3vz9WYuLbgkKSVixbroceqviPcpjHuP757LP6++OPV5gtZV0d/3979xtkV33WAfwXpjMESEgTMkZKyi7TJB3sjNIX6NA0M2optWgdnbaME6h0fKHOSExSbKkh1aKJJGFQIRBo37QdhKQpVVT+DDaxCE1pm9FpLRiXOlOICZA0KWQmMnnFOr9bz3qyubv7bPbfs7uf+yZ3733uvc/5PGd3cr73/HGfAAECBHILzOnv7+8/mxaX9V42rS4PdjbL6DUECBAgMDME7r777nL82I/LR667blQLdPTo0fL666+Vlw8fLuedd365+G1vK0uWLBkxHGl/SD305cbrV5fv/Nu/CjXaMDP8/r5v7Ctbt2wpm7dsDS9pXVf6+vrKf/3ghXLq1KnO6958883S09tTLu3pLStWvDP8XnUvjQcfeKD87d+NfCWW8JtOUGHd82n//v1l0+bNE/QJ3pYAAQIEZoLAUBmEUGMmTNcyECBAgMCwAnW3/t/40K+XW27dGP6We9g3HMWTW2//i3LNNe8vv33jjaN4ldKZIPCpT36yvP3SnvKLv/TLk7o49XCntTf9Qblnx47y7nePfKnhyWiu7o3R7RKt9Xez7qEi9JuMKfgMAgQITG+BoUIN59SY3nPVPQECBAgEBBYtWlRu37q13P7nfzbiSUMDbxcueXj37s6GnEAjTDajCteuW1d279xZDh48OKnLteuhh8qvfujX0gQadeE3b9pU6uWPB9+cHHSwiJ8JECBAYLQCQo3RiqknQIAAgWkpsPK9K8vv/v7vlft23FvqN9kTfavnU/j63j1l67b44QcT3ZP3n1yBennXLdu2dcK0eijTZNxqkHbixOtl/fr1k/FxY/oMJwcdE58XEyBAgMD/CQg1rAoECBAgMGsE6h4T9fKWf/2Xd5aJ3Mh86uv/XO7fcW/ZufvLzqMxa9au7gtaw7Std9xR/vTWDRO6ztVPr4FGDdI+e9tnux7q0b3DyXm0Xtnk/PPPH/gwJwcdoHCHAAECBMYoINQYI6CXEyBAgMD0ErhpzU2dc1zUjcx6MsXxvNU9QL70hS+U7333u2XX7i9Pi0tpjufye6/uAu1gY7zXufqJdb2rgcbzz32/E6TVPUSy3fZ/+zun/T7805NPlncsW1bqlWLcCBAgQIDAWASEGmPR81oCBAgQmJYCdY+N7Tt2lLvuvLMTQtSrToz1Vg83qSdnXHTRwrL9nu2nbcCN9b29fvoL1GCjWecef+zRcTsEqp6v47Y/+Uw5deqN8sCDfzMt1rt6ctCb160vn7g5/+Vmp/+aZwkIECAw8wWEGjN/xpaQAAECBLoI1KtCPLnna6W3t6dzydX6TfdoD0mp35DXMGPDLZ8qX334K2XH/feVDRs2pNv1v8vie2gKBOo698g//kP58fFjnQCsrjtne36XGsTVdXbL5k1lzdo/LFu3bUu73h0+fLhc+Qs/PyDe7eSg9XCU+++7v+vJRAde6A4BAgQIEOgi8JYuj3mIAAECBAjMCoF6icl6OMrq61eXnTt3lts+s7G8deHCsnLVqrJs+fIyd+55p10Ctm5Ivn7iRHnl5ZfLfx44UB756sPlNz/y4bJh463lqquu6mrW7YoPTeGxY8fK0SNHmh+H/PeFF14oJ85yb5J6LoO66/9U3H7r+tVj+tgrr7wy9PqfWrKkLF68eMjaei6HLIdk1Cvx1ACirhef/9znyn333lPed/X7y89e8XNlxYp3DrkM9Ym6/h04cKDUc7a89OKLZd0n1pdP//EtacOMZmHeeOONzqEm9efm5KC3btzYPN15bP3ateWD115bli5dOvC4OwQIECBAICIwp7+/vz9SOLhmqGvEDq7zMwECBAgQyC5QvyU+dOhQp82XXnqp9PX1lW9/61vlR0d/VH7Q9//n3Zh/4YXlwgULyvz588uSJUvKwkULy9y5c8twwcFwG/YLFiwoK1asGJFnpI324d5gKjfohwt0huu5ee4/nn++uTvsvyOFPsPNp77xUDNauvTt5eKLf/qMzx5qHsuXLz+jdqQH6l4Me/fsKU8//Ux5au/e8p5Vqzon1Jw3b37p6e0pzz/3XJkz55zy/X//Xjlnzpxyza98oLzv6qvLFVdckT7MaJa9rgdf+uIXSw0yfufjHy+f3rChcy6N+nt3z/bt5YnHHy9/ddddzq/RgPmXAAECBLoKDJVBCDW6cnmQAAECBKaTQDuUqH0P3gNi8EZvt43cwRu2QwUOP/Oud51BM5XBwRnNeGDUAkOFLzXg+p+TJ894v8HrUy147bXXypOPP3FG7eD1qhYM3gOlHZLUz6y3Cy64oLMXT+9ll3VCjosuumjaXknn7x95pJw8ebLMmzev7N+/v2zavPm0vTNuWrNm2gQ0ZwzYAwQIECAwaQJDhRoOP5m0EfggAgQIEIjsUl3ZAAATW0lEQVQKtDcy29/W1w2i5jY4mGhvPA4OJN67atVphycIIRpF/1aBofawGOrx0ai11+X6unooxos//OFpb/GNZ5457fCibgHJB679YFm4cOHA6y6//PJOSNA80IQfzc/j0XvzXuP1bz056NPf3Ffu2LbN3hnjhep9CBAgQKAINawEBAgQIDApAs3GXXsvivY33rsefGigj/YGXHvj7aPXXdf51roWCiYGuNxJLNAtXDiby5g2vz/NorbDvvrYV3bvbp46Y6+RS3t7yntWrhx4vv07dcG8eaWnp2fguXpOi3qumfG8vfLKq+VfnnqqrFm/rtywenXn3BmPPfHEuH/OePbsvQgQIEBg+gg4/GT6zEqnBAgQSClQzwlQv31uhxXNHhXf3LevHHzxJ7vTN0FFey+K9m73E7ExlRJMUwQmWaBeQvX48eMDn9oORGrgcOjQfw881w4X6xVL3rFsWee59u9tfaB9GFa34GbgDUspf3TzzWXv1/aUBW9dUO7avt25M9o47hMgQIBAWGCow0+EGmFChQQIEJh9As25Kppd5utx8fXqC/XWbPw0Gz7tjZ5mV3h7U8y+dcYSzxyBJrCsS9QOLdt/BwYfKtOEl/U1zR4hu3bu6pz09IaPfayce+65Qx7uM3PkLAkBAgQITISAUGMiVL0nAQIEZoBA3a19cGjR3lBpzlXRnNywCSzsWTEDhm8RCIyjQBOC1rds/qbU+0eOHCkHDx7sfFL7b0v7sJh2KGoPrnEcirciQIDADBIQasygYVoUAgQIjFagHVw0u5s3h4Y036w236o2u5WPtEv5aHtQT4AAgbZA+7CY9pVmmnPtDBWAtC+12/y9sldYW9Z9AgQIzEwBocbMnKulIkCAwIBA8y1p3Tg48uqrncNEmiuENMFF3duiOTHgdL5E5MBCu0OAwKwQ6BaAtA+DaULaitH8vWvv/dHsYebv3qxYXSwkAQIzVECoMUMHa7EIEJidAvU/+H19feXokSOlnpSz+Q99PVSk+Raz/id+8eLF5ZJLLpmdSJaaAIFZKdBcKaZ9HpBuJy9uDq1r/mY2ga+9PmblamOhCRCYBgJCjWkwJC0SIEAgKvDss8+Wxx59tNQ9L4QXUTV1BAgQ+IlAs2db/ak59KU5NK8einf9DTegIkCAAIFkAkKNZAPRDgECBAgQIECAAAECBAgQIBATGCrUOCf2clUECBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSEGrkmoduCBAgQIAAAQIECBAgQIAAgaCAUCMIpYwAAQIECBAgQIAAAQIECBDIJSDUyDUP3RAgQIAAAQIECBAgQIAAAQJBAaFGEEoZAQIECBAgQIAAAQIECBAgkEtAqJFrHrohQIAAAQIECBAgQIAAAQIEggJCjSCUMgIECBAgQIAAAQIECBAgQCCXgFAj1zx0Q4AAAQIECBAgQIAAAQIECAQFhBpBKGUECBAgQIAAAQIECBAgQIBALgGhRq556IYAAQIECBAgQIAAAQIECBAICgg1glDKCBAgQIAAAQIECBAgQIAAgVwCQo1c89ANAQIECBAgQIAAAQIECBAgEBQQagShlBEgQIAAAQIECBAgQIAAAQK5BIQaueahGwIECBAgQIAAAQIECBAgQCAoINQIQikjQIAAAQIECBAgQIAAAQIEcgkINXLNQzcECBAgQIAAAQIECBAgQIBAUECoEYRSRoAAAQIECBAgQIAAAQIECOQSeMtY2lnWe9lYXu61BAgQIECAAAECBAgQIECAAIGzFpjT39/ff9av9kICBAgQIECAAAECBAgQIECAwBQJOPxkiuB9LAECBAgQIECAAAECBAgQIDA2AaHG2Py8mgABAgQIECBAgAABAgQIEJgiAaHGFMH7WAIECBAgQIAAAQIECBAgQGBsAkKNsfl5NQECBAgQIECAAAECBAgQIDBFAkKNKYL3sQQIECBAgAABAgQIECBAgMDYBIQaY/PzagIECBAgQIAAAQIECBAgQGCKBP4XfXy9LamJrd0AAAAASUVORK5CYII=" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why the car is accelerating even though it is moving with a constant speed.</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>On the diagram, draw and label the vertical forces acting on the car in the position shown.</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>Calculate the maximum speed at which the car will stay in contact with the bridge.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Gravitational fields</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Newton’s universal law of gravitation.</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>Deduce that the gravitational field strength <em>g</em> at the surface of a spherical planet of uniform density is given by</p>
<p>\[g = \frac{{GM}}{{{R^2}}}\]</p>
<p>where <em>M</em> is the mass of the planet, <em>R</em> is its radius and <em>G</em> is the gravitational constant. You can assume that spherical objects of uniform density act as point masses.</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 gravitational field strength at the surface of Mars <em>g</em><sub>M</sub> is related to the gravitational field strength at the surface of the Earth <em>g</em><sub>E</sub> by</p>
<p style="text-align: center;"><em>g</em><sub>M</sub> = 0.38 × <em>g</em><sub>E</sub>.</p>
<p>The radius of Mars <em>R</em><sub>M</sub> is related to the radius of the Earth <em>R</em><sub>E</sub> by</p>
<p style="text-align: center;"><em>R</em><sub>M</sub> = 0.53 × <em>R</em><sub>E</sub>.</p>
<p>Determine the mass of Mars <em>M</em><sub>M</sub> in terms of the mass of the Earth <em>M</em><sub>E</sub>.</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>(i) On the diagram below, draw lines to represent the gravitational field around the planet Mars.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) An object falls freely in a straight line from point A to point B in time <em>t</em>. The speed of the object at A is <em>u</em> and the speed at B is <em>v</em>. A student suggests using the equation <em>v</em>=<em>u</em>+<em>g</em><sub>M</sub><em>t</em> to calculate <em>v</em>. Suggest <strong>two</strong> reasons why it is not appropriate to use this equation.</p>
<p><img 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" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Satellite</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State, in words, 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>The diagram shows a satellite orbiting the Earth. The satellite is part of the network of global-positioning satellites (GPS) that transmit radio signals used to locate the position of receivers that are located on the Earth.</p>
<p><img 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" alt></p>
<p>When the satellite is directly overhead, the microwave signal reaches the receiver 67ms after it leaves the satellite.</p>
<p>(i) State the order of magnitude of the wavelength of microwaves.</p>
<p>(ii) Calculate the height of the satellite above the surface of the Earth</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>(i) Explain why the satellite is accelerating towards the centre of the Earth even though its orbital speed is constant.</p>
<p>(ii) Calculate the gravitational field strength due to the Earth at the position of the satellite.</p>
<p>Mass of Earth = 6.0×10<sup>24</sup>kg<br>Radius of Earth = 6.4×10<sup>6</sup>m</p>
<p>(iii) Determine the orbital speed of the satellite.</p>
<p>(iv) Determine, in hours, the orbital period of the satellite.</p>
<div class="marks">[8]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A glider is an aircraft with no engine. To be launched, a glider is uniformly accelerated from rest by a cable pulled by a motor that exerts a horizontal force on the glider throughout the launch.</p>
<p style="text-align: center;"><img 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"></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The glider reaches its launch speed of 27.0 m s<sup>–1</sup> after accelerating for 11.0 s. Assume that the glider moves horizontally until it leaves the ground. Calculate the total distance travelled by the glider before it leaves the ground.</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 glider and pilot have a total mass of 492 kg. During the acceleration the glider is subject to an average resistive force of 160 N. Determine the average tension in the cable as the glider accelerates.</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>The cable is pulled by an electric motor. The motor has an overall efficiency of 23 %. Determine the average power input to the motor.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The cable is wound onto a cylinder of diameter 1.2 m. Calculate the angular velocity of the cylinder at the instant when the glider has a speed of 27 m s<sup>–1</sup>. Include an appropriate unit for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>After takeoff the cable is released and the unpowered glider moves horizontally at constant speed. The wings of the glider provide a lift force. The diagram shows the lift force acting on the glider and the direction of motion of the glider.</p>
<p><img 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"></p>
<p>Draw the forces acting on the glider to complete the free-body diagram. The dotted lines show the horizontal and vertical directions.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, using appropriate laws of motion, how the forces acting on the glider maintain it in level flight.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>At a particular instant in the flight the glider is losing 1.00 m of vertical height for every 6.00 m that it goes forward horizontally. At this instant, the horizontal speed of the glider is 12.5 m s<sup>–1</sup>. Calculate the <strong>velocity</strong> of the glider. Give your answer to an appropriate number of significant figures.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about forces. <strong>Part 2</strong> is about internal energy.</p>
<p><strong>Part 1</strong> Forces</p>
<p>A railway engine is travelling along a horizontal track at a constant velocity.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram above, draw labelled arrows to represent the vertical forces that act on the railway engine.</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>Explain, with reference to Newton’s laws of motion, why the velocity of the railway engine is constant.</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 constant horizontal velocity of the railway engine is 16 ms<sup>–1</sup>. A total horizontal resistive force of 76 kN acts on the railway engine.</p>
<p>Calculate the useful power output of the railway engine.</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 power driving the railway engine is switched off. The railway engine stops, from its speed of 16 ms<sup>–1</sup>, without braking in a distance of 1.1 km. A student hypothesizes that the horizontal resistive force is constant.</p>
<p>Based on this hypothesis, calculate the mass of the railway engine.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Another hypothesis is that the horizontal force in (c) consists of two components. One component is a constant frictional force of 19 kN. The other component is a resistive force <em>F</em> that varies with speed <em>v</em> where <em>F</em> is proportional t o <em>v</em><sup>3</sup>.</p>
<p>(i) State the value of the magnitude of <em>F</em> when the railway engine is travelling at 16 ms<sup>–1</sup>.</p>
<p>(ii) Determine the <strong>total</strong> horizontal resistive force when the railway engine is travelling at 8.0 ms<sup>–1</sup>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On its journey, the railway engine now travels around a curved track at constant speed. Explain whether or not the railway engine is accelerating.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about two children on a merry-go-round. <strong>Part 2</strong> is about electric circuits.</p>
<p><strong>Part 1</strong> Two children on a merry-go-round</p>
<p>Aibhe and Euan are sitting on opposite sides of a merry-go-round, which is rotating at constant speed around a fixed centre. The diagram below shows the view from above.</p>
<p><img 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" alt></p>
<p>Aibhe is moving at speed 1.0ms<sup>–1</sup> relative to the ground.</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Orbital motion</p>
<p>A spaceship of mass <em>m</em> is moving at speed <em>v</em> in a circular orbit of radius <em>r</em> around a planet of mass <em>M</em>.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the magnitude of the velocity of Aibhe relative to</p>
<p>(i) Euan.</p>
<p>(ii) the centre of the merry-go-round.</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>(i) Outline why Aibhe is accelerating even though she is moving at constant speed.</p>
<p>(ii) Draw an arrow on the diagram on page 22 to show the direction in which Aibhe is accelerating.</p>
<p>(iii) Identify the force that is causing Aibhe to move in a circle.</p>
<p>(iv) The diagram below shows a side view of Aibhe and Euan on the merry-go-round.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Explain why Aibhe feels as if her upper body is being “thrown outwards”, away from the centre of the merry-go-round.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Euan is rotating on a merry-go-round and drags his foot along the ground to act as a brake. The merry-go-round comes to a stop after 4.0 rotations. The radius of the merry-go-round is 1.5 m. The average frictional force between his foot and the ground is 45 N. Calculate the work done.</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>Aibhe moves so that she is sitting at a distance of 0.75 m from the centre of the merry-go-round, as shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Euan pushes the merry-go-round so that he is again moving at 1.0 ms<sup>–1</sup> relative to the ground.</p>
<p>(i) Determine Aibhe’s speed relative to the ground.</p>
<p>(ii) Calculate the magnitude of Aibhe’s acceleration.</p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define the <em>electric resistance</em> of a wire.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the following data, calculate the length of constantan wire required to make a resistor with a resistance of 6.0Ω.</p>
<p style="padding-left: 30px;">Resistivity of constantan = 5.0×10<sup>–7</sup>Ωm<br>Average radius of wire = 2.5×10<sup>–5</sup>m</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Three resistors, each of resistance 6.0Ω, are arranged in the circuit shown below. The cell has an emf of 12V and negligible internal resistance.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Determine the total power supplied by the cell.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The same resistors and cell are now re-arranged into a different circuit, as shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Explain why the total power supplied by the cell is greater than for the circuit in (g).</p>
<div class="marks">[3]</div>
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about kinematics and gravitation. <strong>Part 2</strong> is about radioactivity.</p>
<p><strong>Part 1</strong> Kinematics and gravitation</p>
<p>A ball is released near the surface of the Moon at time <em>t</em>=0. The point of release is on a straight line between the centre of Earth and the centre of the Moon. The graph below shows the variation with time <em>t</em> of the displacement s of the ball from the point of release.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Radioactivity</p>
<p>Two isotopes of calcium are calcium-40 \(\left( {\frac{{40}}{{20}}{\rm{Ca}}} \right)\) and calcium-47 \(\left( {\frac{{47}}{{20}}{\rm{Ca}}} \right)\). Calcium-40 is stable and calcium-47 is radioactive with a half-life of 4.5 days.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the significance of the negative values of <em>s</em>.</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>Use the graph to</p>
<p>(i) estimate the velocity of the ball at <em>t</em> \( = \) 0.80 s.</p>
<p>(ii) calculate a value for the acceleration of free fall close to the surface of the Moon.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The following data are available.</p>
<p style="padding-left: 30px;">Mass of the ball <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 0.20 kg</p>
<p style="padding-left: 30px;">Mean radius of the Moon <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 1.74 \( \times \) 10<sup>6</sup> m</p>
<p style="padding-left: 30px;">Mean orbital radius of the Moon about the centre of Earth <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 3.84 \( \times \) 10<sup>8</sup> m</p>
<p style="padding-left: 30px;">Mass of Earth <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 5.97 \( \times \) 10<sup>24</sup> kg</p>
<p>Show that Earth has no significant effect on the acceleration of the ball.</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>Calculate the speed of an identical ball when it falls 3.0 m from rest close to the surface of Earth. Ignore air resistance.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch, on the graph, the variation with time<em> t</em> of the displacement<em> s</em> from the point of release of the ball when the ball is dropped close to the surface of Earth. (For this sketch take the direction towards the Earth as being negative.)</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>Explain, in terms of the number of nucleons and the forces between them, why calcium-40 is stable and calcium-47 is radioactive.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the percentage of a sample of calcium-47 that decays in 27 days.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The nuclear equation for the decay of calcium-47 into scandium-47 \(\left( {{}_{21}^{47}{\rm{Sc}}} \right)\) is given by</p>
<p>\[{}_{20}^{47}{\rm{Ca}} \to {}_{21}^{47}{\rm{Sc + }}{}_{ - 1}^0{\rm{e + X}}\]</p>
<p>(i) Identify X.</p>
<p>(ii) The following data are available.</p>
<p style="padding-left: 30px;">Mass of calcium-47 nucleus <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 46.95455 u<br>Mass of scandium-47 nucleus <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 46.95241 u</p>
<p>Using the data, determine the maximum kinetic energy, in MeV, of the products in the decay of calcium-47.</p>
<p>(iii) State why the kinetic energy will be less than your value in (h)(ii).</p>
<div class="marks">[4]</div>
<div class="question_part_label">h.</div>
</div>
<br><hr><br>