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</div><h2>SL Paper 2</h2><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about kinematics and Newton’s laws of motion.</p>
<p class="p1"><strong>Part 2 </strong>is about electrical circuits.</p>
<p class="p1"><strong>Part 1 </strong>Kinematics and Newton’s laws of motion</p>
<p class="p1">Cars I and B are on a straight race track. I is moving at a constant speed of \({\text{45 m}}\,{{\text{s}}^{ - 1}}\) and B is initially at rest. As I passes B, B starts to move with an acceleration of \({\text{3.2 m}}\,{{\text{s}}^{ - 2}}\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.13.17.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/06"></p>
<p class="p1">At a later time B passes I. You may assume that both cars are point particles.</p>
</div>
<div class="specification">
<p class="p1">A third car O with mass 930 kg joins the race. O collides with I from behind, moving along the same straight line as I. Before the collision the speed of I is \({\text{45 m}}\,{{\text{s}}^{ - 1}}\) and its mass is 850 kg. After the collision, I and O stick together and move in a straight line with an initial combined speed of \({\text{52 m}}\,{{\text{s}}^{ - 1}}\).</p>
</div>
<div class="specification">
<p>This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about kinematics and Newton’s laws of motion.</p>
<p class="p1"><strong>Part 2 </strong>Electrical circuits</p>
<p class="p1">The circuit shown is used to investigate how the power developed by a cell varies when the load resistance \(R\) changes.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.20.36.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/06_Part2_01"></p>
<p class="p1">The variable resistor is adjusted and a series of current and voltage readings are taken. The graph shows the variation with \(R\) of the power dissipated in the cell and the power dissipated in the variable resistor.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.22.40.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/06_Part2_02"></p>
</div>
<div class="specification">
<p class="p1">The cell has an internal resistance.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that the time taken for B to pass I is approximately 28 s.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the distance travelled by B in this time.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">B slows down while I remains at a constant speed. The driver in each car wears a seat belt. Using Newton’s laws of motion, explain the difference in the tension in the seat belts of the two cars.</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 class="p1">Calculate the speed of O immediately before the collision.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The duration of the collision is 0.45 s. Determine the average force acting on O.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">An ammeter and a voltmeter are used to investigate the characteristics of a variable resistor of resistance \(R\). State how the resistance of the ammeter and of the voltmeter compare to \(R\) so that the readings of the instruments are reliable.</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 class="p1">Show that the current in the circuit is approximately 0.70 A when \(R = 0.80{\text{ }}\Omega \).</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 class="p1">Outline what is meant by the internal resistance of a cell.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the internal resistance of the cell.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the electromotive force (emf) of the cell.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">In 1997 a high-speed car of mass \(1.1 \times {10^4}{\text{ kg}}\) achieved the world land speed record. The car accelerated uniformly in two stages as shown in the table. The car started from rest.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_17.18.21.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/A2"></p>
<p class="p1">Use the data to calculate the</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">average acceleration of the car in stage 1.</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 class="p1">average net force required to accelerate the car in stage 2.</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 class="p1">total distance travelled by the car in 12 s.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Momentum</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the law of conservation of momentum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Far from any massive object, a space rocket is moving with constant velocity. The engines of the space rocket are turned on and it accelerates by burning fuel and ejecting gases. Discuss how the law of conservation of momentum relates to this situation.</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 style="text-align: left;">Jane and Joe are two ice skaters initially at rest on a horizontal skating rink. They are facing each other and Jane is holding a ball. Jane throws the ball to Joe who catches it. The speed at which the ball leaves Jane, measured relative to the ground, is 8.0 m s<sup>–1</sup>.<br>The following data are available.<br> Mass of Jane = 52 kg<br> Mass of Joe = 74 kg<br> Mass of ball = 1.3 kg</p>
<p style="text-align: left;">Use the data to calculate the</p>
<p style="text-align: left;">(i) speed <em>v</em> of Jane relative to the ground immediately after she throws the ball.</p>
<p style="text-align: left;">(ii) speed <em>V</em> of Joe relative to the ground immediately after he catches the ball.</p>
<div class="marks">[4]</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>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 about the use of energy resources.</p>
</div>
<div class="specification">
<p class="p1">Electrical energy is obtained from tidal energy at La Rance in France.</p>
<p class="p1">Water flows into a river basin from the sea for six hours and then flows from the basin back to the sea for another six hours. The water flows through turbines and generates energy during both flows.</p>
<p class="p1">The following data are available.</p>
<p class="p1"><span class="Apple-converted-space"> </span>Area of river basin <span class="Apple-converted-space"> </span>\( = 22{\text{ k}}{{\text{m}}^{\text{2}}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Change in water level of basin over six hours <span class="Apple-converted-space"> </span>\( = 6.0{\text{ m}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Density of water <span class="Apple-converted-space"> </span>\( = 1000{\text{ kg}}\,{{\text{m}}^{ - 3}}\)</p>
</div>
<div class="specification">
<p class="p1">Nuclear reactors are used to generate energy. In a particular nuclear reactor, neutrons collide elastically with carbon-12 nuclei \(\left( {_{\;{\text{6}}}^{{\text{12}}}{\text{C}}} \right)\) that act as the moderator of the reactor. A neutron with an initial speed of \(9.8 \times {10^6}{\text{ m}}\,{{\text{s}}^{ - 1}}\) collides head-on with a stationary carbon-12 nucleus. Immediately after the collision the carbon-12 nucleus has a speed of \(1.5 \times {10^6}{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the difference between renewable and non-renewable energy sources.</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 class="p1">(i)<span class="Apple-converted-space"> </span>The basin empties over a six hour period. Show that about \(6000{\text{ }}{{\text{m}}^3}\) of water flows through the turbines every second.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the average power that the water can supply over the six hour period is about 0.2 GW.</p>
<p class="p2">(iii) <span class="Apple-converted-space"> </span>La Rance tidal power station has an energy output of \(5.4 \times {10^8}{\text{ kW}}\,{\text{h}}\) per year. Calculate the overall efficiency of the power station. Assume that the water can supply 0.2 GW at all times.</p>
<p class="p2">Energy resources such as La Rance tidal power station could replace the use of</p>
<p class="p2">fossil fuels. This may result in an increase in the average albedo of Earth.</p>
<p class="p2">(iv) <span class="Apple-converted-space"> </span>State <strong>two </strong>reasons why the albedo of Earth must be given as an average value.</p>
<div class="marks">[10]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>State the principle of conservation of momentum.</p>
<p class="p2">(ii) <span class="Apple-converted-space"> </span>Show that the speed of the neutron immediately after the collision is about \(8.0 \times {10^6}{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p2">(iii) <span class="Apple-converted-space"> </span>Show that the fractional change in energy of the neutron as a result of the collision</p>
<p class="p2">is about 0.3.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>Estimate the minimum number of collisions required for the neutron to reduce its initial energy by a factor of \({10^6}\).</p>
<p class="p1">(v) <span class="Apple-converted-space"> </span>Outline why the reduction in energy is necessary for this type of reactor to function.</p>
<div class="marks">[10]</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 production of energy in nuclear fission. <strong>Part 2 </strong>is about collisions.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Production of energy in nuclear fission</p>
</div>
<div class="specification">
<p class="p1">A possible fission reaction is</p>
<p class="p1">\[_{\;92}^{235}U + _0^1n \to _{36}^{92}Kr + _{\;56}^{141}Ba + x_0^1n.\]</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Collisions</p>
</div>
<div class="specification">
<p class="p1">In an experiment, an air-rifle pellet is fired into a block of modelling clay that rests on a table.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_18.13.15.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B3.Part2.b"></p>
<p class="p1">The air-rifle pellet remains inside the clay block after the impact.</p>
<p class="p1">As a result of the collision, the clay block slides along the table in a straight line and comes to rest. Further data relating to the experiment are given below.</p>
<p class="p1">\[\begin{array}{*{20}{l}} {{\text{Mass of air - rifle pellet}}}&{ = 2.0{\text{ g}}} \\ {{\text{Mass of clay block}}}&{ = 56{\text{ g}}} \\ {{\text{Velocity of impact of air - rifle pellet}}}&{ = 140{\text{ m}}\,{{\text{s}}^{ - 1}}} \\ {{\text{Stopping distance of clay block}}}&{ = 2.8{\text{ m}}} \end{array}\]</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) State the value of \(x\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the energy released when one uranium nucleus undergoes fission in the reaction in (a) is about \(2.8 \times {10^{ - 11}}{\text{ J}}\).</p>
<p class="p1">\[\begin{array}{*{20}{l}} {{\text{Mass of neutron}}}&{ = 1.00867{\text{ u}}} \\ {{\text{Mass of U - 235 nucleus}}}&{ = 234.99333{\text{ u}}} \\ {{\text{Mass of Kr - 92 nucleus}}}&{ = 91.90645{\text{ u}}} \\ {{\text{Mass of Ba - 141 nucleus}}}&{ = 140.88354{\text{ u}}} \end{array}\]</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>State how the energy of the neutrons produced in the reaction in (a) is likely to compare with the energy of the neutron that initiated the reaction.</p>
<div class="marks">[6]</div>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline the role of the moderator.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A nuclear power plant that uses U-235 as fuel has a useful power output of 16 MW and an efficiency of 40%. Assuming that each fission of U-235 gives rise to \(2.8 \times {10^{ - 11}}{\text{ J}}\) of energy, determine the mass of U-235 fuel used per day.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the principle of conservation of momentum.</p>
<div class="marks">[2]</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>Show that the initial speed of the clay block after the air-rifle pellet strikes it is \(4.8{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Calculate the average frictional force that the surface of the table exerts on the clay block whilst the clay block is moving.</p>
<div class="marks">[6]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Discuss the energy transformations that occur in the clay block and the air-rifle pellet from the moment the air-rifle pellet strikes the block until the clay block comes to rest.</p>
<div class="marks">[3]</div>
<div class="question_part_label">Part2.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The clay block is dropped from rest from the edge of the table and falls vertically to the ground. The table is 0.85 m above the ground. Calculate the speed with which the clay block strikes the ground.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part2.d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about Newton’s laws and momentum. <strong>Part 2</strong> is about the greenhouse effect.</p>
<p><strong>Part 1</strong> Newton’s laws and momentum</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> The greenhouse effect</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the condition for the momentum of a system to be conserved.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A person standing on a frozen pond throws a ball. Air resistance and friction can be considered to be negligible.</p>
<p>(i) Outline how Newton’s third law and the conservation of momentum apply as the ball is thrown.</p>
<p>(ii) Explain, with reference to Newton’s second law, why the horizontal momentum of the ball remains constant whilst the ball is in flight.</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>The maximum useful power output of a locomotive engine is 0.75 M W. The maximum speed of the locomotive as it travels along a straight horizontal track is 44 m s<sup>–1</sup>. Calculate the frictional force acting on the locomotive at this speed.</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 locomotive engine in (c) gives a truck X a sharp push such that X moves along a horizontal track and collides with a stationary truck Y. As a result of the collision the two trucks stick together and move off with speed <em>v</em>. The following data are available.</p>
<p style="padding-left: 30px;">Mass of truck X=3.7×10<sup>3 </sup>kg<br>Mass of truck Y=6.3×10<sup>3 </sup>kg<br>Speed of X just before collision=4.0 m s<sup>–1</sup></p>
<p>(i) Calculate <em>v</em>.</p>
<p>(ii) Determine the kinetic energy lost as a result of the collision.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The trucks X and Y come to rest after travelling a distance of 40 m along the horizontal track. Determine the average frictional force acting on X and Y.</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>Nuclear fuels, unlike fossil fuels, produce no greenhouse gases.</p>
<p>(i) Identify <strong>two</strong> greenhouse gases.</p>
<p>(ii) Discuss, with reference to the mechanism of infrared absorption, why the temperature of the Earth’s surface would be lower if there were no greenhouse gases present in the atmosphere.</p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how an increase in the amount of greenhouse gases in the atmosphere of Earth could lead to an increase in the rate at which glaciers melt and thereby a reduction of the albedo of the Earth’s surface.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</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 ship. <strong>Part 2 </strong>is about melting ice.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1</strong> Motion of a ship</p>
</div>
<div class="specification">
<p class="p1">Some cargo ships use kites working together with the ship’s engines to move the vessel.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_08.36.14.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/04_Part1.04.b"></p>
<p class="p1">The tension in the cable that connects the kite to the ship is 250 kN. The kite is pulling the ship at an angle of 39° to the horizontal. The ship travels at a steady speed of \({\text{8.5 m}}\,{{\text{s}}^{ - 1}}\) when the ship’s engines operate with a power output of 2.7 MW.</p>
</div>
<div class="specification">
<p class="p1">The ship’s engines are switched off and the ship comes to rest from a speed of \({\text{7 m}}\,{{\text{s}}^{ - 1}}\) in a time of 650 s.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2</strong> Melting ice</p>
</div>
<div class="specification">
<p class="p1">A container of negligible mass, isolated from its surroundings, contains 0.150 kg of ice at a temperature of –18.7 °C. An electric heater supplies energy at a rate of 125 W.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline the meaning of work.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the work done on the ship by the kite when the ship travels a distance of 1.0 km.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that, when the ship is travelling at a speed of \({\text{8.5 m}}\,{{\text{s}}^{ - 1}}\), the kite provides about 40% of the total power required by the ship.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The kite is taken down and no longer produces a force on the ship. The resistive force \(F\) that opposes the motion of the ship is related to the speed \(v\)<em> </em>of the ship by</p>
<p class="p1">\[F = k{v^2}\]</p>
<p class="p1">where \(k\) is a constant.</p>
<p class="p1">Show that, if the power output of the engines remains at 2.7 MW, the speed of the ship will decrease to about \({\text{7 m}}\,{{\text{s}}^{ - 1}}\). Assume that \(k\) is independent of whether the kite is in use or not.</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 class="p1">Estimate the distance that the ship takes to stop. Assume that the acceleration is uniform.</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 class="p1">It is unlikely that the acceleration of the ship will be uniform given that the resistive force acting on the ship depends on the speed of the ship. Using the axes, sketch a graph to show how the speed \(v\) varies with time \(t\) after the ship’s engines are switched off.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_11.57.32.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/04.d.ii"></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe, with reference to molecular behaviour, the process of melting ice.</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 class="p1">After a time interval of 45.0 s all of the ice has reached a temperature of 0 °C without any melting. Calculate the specific heat capacity of ice.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The following data are available.</p>
<p class="p1"><span class="Apple-converted-space"> </span>Specific heat capacity of water <span class="Apple-converted-space"> </span>\( = 4200{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}{{\text{K}}^{ - 1}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Specific latent heat of fusion of ice <span class="Apple-converted-space"> </span>\( = 3.30 \times {10^5}{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}\)</p>
<p class="p1">Determine the final temperature of the water when the heater supplies energy for a further 600 s.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The whole of the experiment in (f)(i) and (f)(ii) is repeated with a container of negligible mass that is not isolated from the surroundings. The temperature of the surroundings is 18 °C. Comment on the final temperature of the water in (f)(ii).</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Electric motor</p>
<p>An electric motor is used to raise a load.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Whilst being raised, the load accelerates uniformly upwards. The weight of the cable is negligible compared to the weight of the load.</p>
<p>(i) Draw a labelled free-body force diagram of the forces acting on the accelerating load. The dot below represents the load.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) The load has a mass of 350 kg and it takes 6.5 s to raise it from rest through a height of 8.0 m.</p>
<p>Determine the tension in the cable as the load is being raised.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electric motor can be adjusted such that, after an initial acceleration, the load moves at constant speed. The motor is connected to a 450 V supply and with the load moving at constant speed, it takes the motor 15 s to raise the load through 7.0 m.</p>
<p>(i) Calculate the power delivered to the load by the motor.</p>
<p>(ii) The current in the motor is 30 A. Estimate the efficiency of the motor.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A girl on a sledge is moving down a snow slope at a uniform speed.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>The sledge, without the girl on it, now travels up a snow slope that makes an angle of 6.5˚ to the horizontal. At the start of the slope, the speed of the sledge is 4.2 m s<sup>–1</sup>. The coefficient of dynamic friction of the sledge on the snow is 0.11.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the free-body diagram for the sledge at the position shown on the snow slope.</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>After leaving the snow slope, the girl on the sledge moves over a horizontal region of snow. Explain, with reference to the physical origin of the forces, why the vertical forces on the girl must be in equilibrium as she moves over the horizontal region.</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>When the sledge is moving on the horizontal region of the snow, the girl jumps off the sledge. The girl has no horizontal velocity after the jump. The velocity of the sledge immediately after the girl jumps off is 4.2 m s<sup>–1</sup>. The mass of the girl is 55 kg and the mass of the sledge is 5.5 kg. Calculate the speed of the sledge immediately before the girl jumps from it.</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 girl chooses to jump so that she lands on loosely-packed snow rather than frozen ice. Outline why she chooses to land on the snow.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the acceleration of the sledge is about –2 m s<sup>–2</sup>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the distance along the slope at which the sledge stops moving. Assume that the coefficient of dynamic friction is constant.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The coefficient of static friction between the sledge and the snow is 0.14. Outline, with a calculation, the subsequent motion of the sledge. </p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>An elastic climbing rope is tested by fixing one end of the rope to the top of a crane. The other end of the rope is connected to a block which is initially at position A. The block is released from rest. The mass of the rope is negligible.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-10_om_17.44.22.png" alt="M18/4/PHYSI/SP2/ENG/TZ1/01"></p>
<p>The unextended length of the rope is 60.0 m. From position A to position B, the block falls freely.</p>
</div>
<div class="specification">
<p>At position C the speed of the block reaches zero. The time taken for the block to fall between B and C is 0.759 s. The mass of the block is 80.0 kg.</p>
</div>
<div class="specification">
<p>For the rope and block, describe the energy changes that take place</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>At position B the rope starts to extend. Calculate the speed of the block at position B.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the magnitude of the average resultant force acting on the block between B and C.</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>Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the magnitude of the average force exerted by the rope on the block between B and C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>between A and B.</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>between B and C.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The length reached by the rope at C is 77.4 m. Suggest how energy considerations could be used to determine the elastic constant of the rope.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</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 mechanics. <strong>Part 2</strong> is about electric potential difference and electric circuits.</p>
<p><strong>Part 1</strong> Kinematics and mechanics</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>linear momentum</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>State, in terms of momentum, Newton’s second law of motion.</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>Show, using your answer to (b), how the impulse of a force <em>F</em> is related to the change in momentum Δ<em>p</em> that it produces.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show, using your answer to (b), how the impulse of a force <em>F</em> is related to the change in momentum Δ<em>p</em> that it produces.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A railway truck on a level, straight track is initially at rest. The truck is given a quick, horizontal push by an engine so that it now rolls along the track.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The engine is in contact with the truck for a time <em>T</em> = 0.54 s and the initial speed of the truck after the push is 4.3 ms<sup>–1</sup>. The mass of the truck is 2.2×10<sup>3</sup> kg.</p>
<p style="text-align: left;">Due to the push, a force of magnitude <em>F</em> is exerted by the engine on the truck. The sketch shows how <em>F</em> varies with contact time <em>t</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(i) Determine the magnitude of the maximum force <em>F</em><sub>max</sub> exerted by the engine on the truck.</p>
<p style="text-align: left;">(ii) After contact with the engine (<em>t</em> = 0.54 s) the truck moves a distance 15 m along the track. After travelling this distance the speed of the truck is 2.8 ms<sup>–1</sup>. Assuming a uniform acceleration, calculate the time it takes the truck to travel 15 m.</p>
<p style="text-align: left;">(iii) Calculate the average rate at which the kinetic energy of the truck is dissipated as it moves along the track.</p>
<p style="text-align: left;">(iv) When the speed of the truck is 2.8ms<sup>–1</sup> it collides with a stationary truck of mass 3.0×10<sup>3</sup>kg. The two trucks move off together with a speed <em>V</em>. Show that the speed <em>V</em>=1.2ms<sup>–1</sup>.</p>
<p style="text-align: left;">(v) Outline the energy transformations that take place during the collision of the two trucks.</p>
<div class="marks">[12]</div>
<div class="question_part_label">d.</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 in <strong>two</strong> parts. <strong>Part 1</strong> is about momentum change. <strong>Part 2</strong> is about an oscillating water column (OWC) energy converter.</p>
<p><strong>Part 1</strong> Momentum change</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the law of conservation of linear momentum.</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>Gravel falls vertically onto a moving horizontal conveyor belt.</p>
<p><img 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" alt></p>
<p>(i) The gravel falls at a constant rate of 13 kg s<sup>–1</sup> through a height of 1.9 m. Show that the vertical speed of the gravel as it lands on the conveyor belt is about 6 m s<sup>–1</sup>.</p>
<p>(ii) The gravel lands on the conveyor belt without rebounding. Calculate the rate of change of the vertical momentum of the gravel.</p>
<p>(iii) Gravel first reaches the belt at <em>t </em>= 0.0 s and continues to fall. Determine the total vertical force that the gravel exerts on the conveyor belt at <em>t </em>= 5.0 s.</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>The conveyor belt moves with a constant horizontal speed of 1.5 m s<sup>–1</sup>. As the gravel lands on the belt, it has no horizontal speed.</p>
<p>(i) Calculate the rate of change of the kinetic energy of the gravel due to its change in horizontal speed.</p>
<p>(ii) Determine the power required to move the conveyor belt at constant speed.</p>
<p>(iii) Outline why the answers to (c)(i) and (ii) are different.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</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 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 kinematics.</p>
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>Lucy stands on the edge of a vertical cliff and throws a stone vertically upwards.</p>
<p><img 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" alt></p>
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<p>The stone leaves her hand with a speed of 15ms<sup>–1</sup> at the instant her hand is 80m above the surface of the sea. Air resistance is negligible and the acceleration of free fall is 10ms<sup>–2</sup>.</p>
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<p>Calculate the maximum height reached by the stone as measured from the point where it is thrown.</p>
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<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
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<p>Determine the time for the stone to reach the surface of the sea after leaving Lucy’s hand.</p>
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<div class="marks">[3]</div>
<div class="question_part_label">b.</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 about kinematics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the difference between average speed and instantaneous 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>The graph shows how the acceleration <em>a</em> of a particle varies with time <em>t</em>.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">At time <em>t</em> = 0 the instantaneous speed of the particle is zero.</p>
<p style="text-align: left;">(i) Calculate the instantaneous speed of the particle at <em>t</em> = 7.5 s.</p>
<p style="text-align: left;">(ii) Using the axes below, sketch a graph to show how the instantaneous speed <em>v</em> of the particle varies with <em>t</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></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 <strong>two</strong> parts. <strong>Part 1</strong> is about mechanics and thermal physics. <strong>Part 2</strong> is about nuclear physics.</p>
<p><strong>Part 1</strong> Mechanics and thermal physics</p>
<p>The graph shows the variation with time <em>t</em> of the speed <em>v</em> of a ball of mass 0.50 kg, that has been released from rest above the Earth’s surface.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The force of air resistance is <strong>not</strong> negligible. Assume that the acceleration of free fall is <em>g</em> = 9.81ms<sup>−2</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State, without any calculations, how the graph could be used to determine the distance fallen.</p>
<p style="text-align: left;"> </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>(i) In the space below, draw and label arrows to represent the forces on the ball at 2.0 s.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(ii) Use the graph opposite to show that the acceleration of the ball at 2.0 s is approximately 4 ms<sup>−2</sup>.</p>
<p style="text-align: left;">(iii) Calculate the magnitude of the force of air resistance on the ball at 2.0 s.</p>
<p style="text-align: left;">(iv) State and explain whether the air resistance on the ball at <em>t</em> = 5.0 s is smaller than, equal to <strong>or</strong> greater than the air resistance at <em>t</em> = 2.0 s.</p>
<p style="text-align: left;"> </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>After 10 s the ball has fallen 190 m.</p>
<p>(i) Show that the sum of the potential and kinetic energies of the ball has decreased by 780 J.</p>
<p>(ii) The specific heat capacity of the ball is 480 J kg<sup>−1</sup> K<sup>−1</sup>. Estimate the increase in the temperature of the ball.</p>
<p>(iii) State an assumption made in the estimate in (c)(ii).</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about a collision. <strong>Part 2</strong> is about electric current and resistance.</p>
<p><strong>Part 1</strong> A collision</p>
<p>Two identical blocks of mass 0.17kg and length 0.050m are travelling towards each other along a straight line through their centres as shown below. Assume that the surface is frictionless.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The initial distance between the centres of the blocks is 0.900m and both blocks are moving at a speed of 0.18ms<sup>–1</sup> relative to the surface.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the time taken for the blocks to come into contact with each other.</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>As a result of the collision, the blocks reverse their direction of motion and travel at the same speed as each other. During the collision, 20% of the kinetic energy of the blocks is given off as thermal energy to the surroundings.</p>
<p>(i) State and explain whether the collision is elastic or inelastic.</p>
<p>(ii) Show that the final speed of the blocks relative to the surface is 0.16 m s<sup>–1</sup>.</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>(i) State Newton’s third law of motion.</p>
<p>(ii) During the collision of the blocks, the magnitude of the force that block A exerts on block B is <em>F</em><sub>AB</sub> and the magnitude of the force that block B exerts on block A is <em>F</em><sub>BA</sub>. On the diagram below, draw labelled arrows to represent the magnitude and direction of the forces <em>F</em><sub>AB</sub> and <em>F</em><sub>BA</sub>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(iii) The duration of the collision between the blocks is 0.070 s. Determine the average force one block exerted on the other.</p>
<div class="marks">[7]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the motion of a bicycle.</p>
<p>A cyclist is moving up a slope that is at an angle of 19° to the horizontal. The mass of the cyclist and the bicycle is 85 kg.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the</p>
<p>(i) component of the weight of the cyclist and bicycle parallel to the slope.</p>
<p>(ii) normal reaction force on the bicycle from the slope.</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>At the bottom of the slope the cyclist has a speed of 5.5ms<sup>–1</sup>. The cyclist stops pedalling and applies the brakes which provide an additional decelerating force of 250 N. Determine the distance taken for the cyclist to stop. Assume air resistance is negligible and that there are no other frictional forces.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>electric field strength</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows a pair of horizontal metal plates. Electrons can be deflected vertically using an electric field between the plates.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Label, on the diagram, the polarity of the metal plates which would cause an electron<br>positioned between the plates to accelerate upwards. </p>
<p>(ii) Draw the shape and direction of the electric field between the plates on the diagram.</p>
<p>(iii) Calculate the force on an electron between the plates when the electric field strength has a value of 2.5 × 10<sup>3</sup> NC<sup>–1</sup>.</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>The diagram shows two isolated electrons, X and Y, initially at rest in a vacuum. The initial separation of the electrons is 5.0 mm. The electrons subsequently move apart in the directions shown.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
<p>(i) Show that the initial electric force acting on each electron due to the other electron is approximately 9 × 10<sup>–24</sup>N.</p>
<p>(ii) Calculate the initial acceleration of one electron due to the force in (c)(i).</p>
<p>(iii) Discuss the motion of one electron after it begins to move.</p>
<p>(iv) The diagram shows Y as seen from X, at one instant. Y is moving into the plane of the paper. For this instant, draw on the diagram the shape and direction of the magnetic field produced by Y.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABBkAAAFYCAYAAAAWQyScAAAgAElEQVR4Ae3db6gddn0G8G+vaSEhQpuClmTEFlqLbzq44jDaahANOLStyjJ1dohrRd1sFhlsaKOV2KnD2SpixAQmbecLh1OSurL0TYdlU2ijiCA1lbZCi2xWSxdTMJorJ8U0TZNr/pzfzXny/dw3vbn3nN99fp/nQsLDubfnLCwsLJQ3AgQIECBAgAABAgQIECBAgMBpCsyd5vM9nQABAgQIECBAgAABAgQIECBwSMDI4BuBAAECBAgQIECAAAECBAgQmIqAkWEqjA4hQIAAAQIECBAgQIAAAQIEjAy+BwgQIECAAAECBAgQIECAAIGpCBgZpsLoEAIECBAgQIAAAQIECBAgQMDI4HuAAAECBAgQIECAAAECBAgQmIqAkWEqjA4hQIAAAQIECBAgQIAAAQIElh2L4NKLLznWh32MAAECBAgQIECAAAECBAgQIHBI4KFHHn6exDFHhsmjjvXg5z3bBwgQIECAAAECBAgQIECAAIFWApMXJhxvM/DjEq2+FVyWAAECBAgQIECAAAECBAiMEzAyjLN1MgECBAgQIECAAAECBAgQaCVgZGhVt8sSIECAAAECBAgQIECAAIFxAkaGcbZOJkCAAAECBAgQIECAAAECrQSMDK3qdlkCBAgQIECAAAECBAgQIDBOwMgwztbJBAgQIECAAAECBAgQIECglYCRoVXdLkuAAAECBAgQIECAAAECBMYJGBnG2TqZAAECBAgQIECAAAECBAi0EjAytKrbZQkQIECAAAECBAgQIECAwDgBI8M4WycTIECAAAECBAgQIECAAIFWAkaGVnW7LAECBAgQIECAAAECBAgQGCdgZBhn62QCBAgQIECAAAECBAgQINBKwMjQqm6XJUCAAAECBAgQIECAAAEC4wSMDONsnUyAAAECBAgQIECAAAECBFoJGBla1e2yBAgQIECAAAECBAgQIEBgnICRYZytkwkQIECAAAECBAgQIECAQCsBI0Orul2WAAECBAgQIECAAAECBAiMEzAyjLN1MgECBAgQIECAAAECBAgQaCVgZGhVt8sSIECAAAECBAgQIECAAIFxAkaGcbZOJkCAAAECBAgQIECAAAECrQSMDK3qdlkCBAgQIECAAAECBAgQIDBOwMgwztbJBAgQIECAAAECBAgQIECglYCRoVXdLkuAAAECBAgQIECAAAECBMYJGBnG2TqZAAECBAgQIECAAAECBAi0EjAytKrbZQkQIECAAAECBAgQIECAwDgBI8M4WycTIECAAAECBAgQIECAAIFWAkaGVnW7LAECBAgQIECAAAECBAgQGCdgZBhn62QCBAgQIECAAAECBAgQINBKwMjQqm6XJUCAAAECBAgQIECAAAEC4wSMDONsnUyAAAECBAgQIECAAAECBFoJGBla1e2yBAgQIECAAAECBAgQIEBgnICRYZytkwkQIECAAAECBAgQIECAQCsBI0Orul2WAAECBAgQIECAAAECBAiMEzAyjLN1MgECBAgQIECAAAECBAgQaCVgZGhVt8sSIECAAAECBAgQIECAAIFxAkaGcbZOJkCAAAECBAgQIECAAAECrQSMDK3qdlkCBAgQIECAAAECBAgQIDBOwMgwztbJBAgQIECAAAECBAgQIECglYCRoVXdLkuAAAECBAgQIECAAAECBMYJGBnG2TqZAAECBAgQIECAAAECBAi0EjAytKrbZQkQIECAAAECBAgQIECAwDgBI8M4WycTIECAAAECBAgQIECAAIFWAkaGVnW7LAECBAgQIECAAAECBAgQGCdgZBhn62QCBAgQIECAAAECBAgQINBKwMjQqm6XJUCAAAECBAgQIECAAAEC4wSMDONsnUyAAAECBAgQIECAAAECBFoJGBla1e2yBAgQIECAAAECBAgQIEBgnICRYZytkwkQIECAAAECBAgQIECAQCsBI0Orul2WAAECBAgQIECAAAECBAiMEzAyjLN1MgECBAgQIECAAAECBAgQaCVgZGhVt8sSIECAAAECBAgQIECAAIFxAkaGcbZOJkCAAAECBAgQIECAAAECrQSMDK3qdlkCBAgQIECAAAECBAgQIDBOwMgwztbJBAgQIECAAAECBAgQIECglYCRoVXdLkuAAAECBAgQIECAAAECBMYJGBnG2TqZAAECBAgQIECAAAECBAi0EjAytKrbZQkQIECAAAECBAgQIECAwDgBI8M4WycTIECAAAECBAgQIECAAIFWAkaGVnW7LAECBAgQIECAAAECBAgQGCdgZBhn62QCBAgQIECAAAECBAgQINBKwMjQqm6XJUCAAAECBAgQIECAAAEC4wSMDONsnUyAAAECBAgQIECAAAECBFoJGBla1e2yBAgQIECAAAECBAgQIEBgnICRYZytkwkQIECAAAECBAgQIECAQCsBI0Orul2WAAECBAgQIECAAAECBAiMEzAyjLN1MgECBAgQIECAAAECBAgQaCVgZGhVt8sSIECAAAECBAgQIECAAIFxAkaGcbZOJkCAAAECBAgQIECAAAECrQSMDK3qdlkCBAgQIECAAAECBAgQIDBOwMgwztbJBAgQIECAAAECBAgQIECglYCRoVXdLkuAAAECBAgQIECAAAECBMYJGBnG2TqZAAECBAgQIECAAAECBAi0EjAytKrbZQkQIECAAAECBAgQIECAwDgBI8M4WycTIECAAAECBAgQIECAAIFWAkaGVnW7LAECBAgQIECAAAECBAgQGCdgZBhn62QCBAgQIECAAAECBAgQINBKwMjQqm6XJUCAAAECBAgQIECAAAEC4wSMDONsnUyAAAECBAgQIECAAAECBFoJGBla1e2yBAgQIECAAAECBAgQIEBgnICRYZytkwkQIECAAAECBAgQIECAQCsBI0Orul2WAAECBAgQIECAAAECBAiMEzAyjLN1MgECBAgQIECAAAECBAgQaCVgZGhVt8sSIECAAAECBAgQIECAAIFxAkaGcbZOJkCAAAECBAgQIECAAAECrQSMDK3qdlkCBAgQIECAAAECBAgQIDBOwMgwztbJBAgQIECAAAECBAgQIECglYCRoVXdLkuAAAECBAgQIECAAAECBMYJGBnG2TqZAAECBAgQIECAAAECBAi0EjAytKrbZQkQIECAAAECBAgQIECAwDgBI8M4WycTIECAAAECBAgQIECAAIFWAkaGVnW7LAECBAgQIECAAAECBAgQGCdgZBhn62QCBAgQIECAAAECBAgQINBKwMjQqm6XJUCAAAECBAgQIECAAAEC4wSMDONsnUyAAAECBAgQIECAAAECBFoJGBla1e2yBAgQIECAAAECBAgQIEBgnICRYZytkwkQIECAAAECBAgQIECAQCsBI0Orul2WAAECBAgQIECAAAECBAiMEzAyjLN1MgECBAgQIECAAAECBAgQaCVgZGhVt8sSIECAAAECBAgQIECAAIFxAkaGcbZOJkCAAAECBAgQIECAAAECrQSMDK3qdlkCBAgQIECAAAECBAgQIDBOwMgwztbJBAgQIECAAAECBAgQIECglYCRoVXdLkuAAAECBAgQIECAAAECBMYJGBnG2TqZAAECBAgQIECAAAECBAi0EjAytKrbZQkQIECAAAECBAgQIECAwDgBI8M4WycTIECAAAECBAgQIECAAIFWAkaGVnW7LAECBAgQIECAAAECBAgQGCdgZBhn62QCBAgQIECAAAECBAgQINBKwMjQqm6XJUCAAAECBAgQIECAAAEC4wSMDONsnUyAAAECBAgQIECAAAECBFoJGBla1e2yBAgQIECAAAECBAgQIEBgnICRYZytkwkQIECAAAECBAgQIECAQCsBI0Orul2WAAECBAgQIECAAAECBAiMEzAyjLN1MgECBAgQIECAAAECBAgQaCVgZGhVt8sSIECAAAECBAgQIECAAIFxAkaGcbZOJkCAAAECBAgQIECAAAECrQSMDK3qdlkCBAgQIECAAAECBAgQIDBOwMgwztbJBAgQIECAAAECBAgQIECglYCRoVXdLkuAAAECBAgQIECAAAECBMYJGBnG2TqZAAECBAgQIECAAAECBAi0EjAytKrbZQkQIECAAAECBAgQIECAwDgBI8M4WycTIECAAAECBAgQIECAAIFWAkaGVnW7LAECBAgQIECAAAECBAgQGCdgZBhn62QCBAgQIECAAAECBAgQINBKwMjQqm6XJUCAAAECBAgQIECAAAEC4wSWjTvayQQIECBAgMBpCfxmT932irfVF355nFNef2vdt+PauujITx/3ORfU627bWV++9o+OfLT3CRAgQIAAAQJTFfBKhqlyOowAAQIECExRYNl8/e0D/1Nfu+3Get2KZ89d8fqt9a0f/qQeOnpgmDxk8pzvPVj3feX6uvzQU66od9z8L3X3D+83MDxL6D0CBAgQIEBgkICRYRCsYwkQIECAwFQE5i6q+Ws31We/sfXZoeHclfXCFYv9FX5evWjNmjqvrqh3fWVbffzd6+uylYs9fipJHUKAAAECBAgQKP/i8E1AgAABAgRmXmCuVl6+sW7+x2tr8oKG/Xd/uj6x86d18Li5n6zv3/Wf9etNN9XfrV/tL/vjOvkEAQIECBAgMG0BI8O0RZ1HgAABAgSGCJxXq6/eXFvfOPkNDD+r3R++tXY9/utjfKWDtW/PHbVl96tq6w0vr5XHeIQPESBAgAABAgRGCRgZRsk6lwABAgQITFtgbm29ecvf14ZDL2f4Zm3Z+h/1+NEvZ9j3QO34yH/XG265rub9iMS0G3AeAQIECBAg8AcEjAx/AMinCRAgQIDALAnMrV5f198wfyjS/rvvqK99/8kj4j1Ze7Z/tu7Z8KG6fv78Iz7uXQIECBAgQIDA0ggYGZbG2VchQIAAAQJTEji/5m/4h/qbl01ezrCnvvCRO2rPvmdeznDw8Xtrx+0X1Xv//I/9mMSUtB1DgAABAgQInJyAkeHkvDyaAAECBAiceYGVL6/rb3nfM/+Lyh99qbZsf6D2Hfxp7dr65aqPba43rz7vzGeUgAABAgQIEGgpsKzlrV2aAAECBAhEC8zVyvnrauume2vj5/bUg5/7RN3yxKq6p95bO69e6/8mEd2t8AQIECBAIFvAKxmy+5OeAAECBNoKHPljEz+of7vzqXrXDetrtb/Z235HuDgBAgQIEJgFAf8UmYUWZCBAgAABAqcisPJl9ZoNL3nmmRdcWa+5wi97PBVGzyFAgAABAgSmJ2BkmJ6lkwgQIECAAAECBAgQIECAQGsBI0Pr+l2eAAECBAgQIECAAAECBAhMT8DIMD1LJxEgQIAAAQIECBAgQIAAgdYCRobW9bs8AQIECBAgQIAAAQIECBCYnoCRYXqWTiJAgAABAgQIECBAgAABAq0FjAyt63d5AgQIEEgWOPiz79bO3Y8+c4Vf3ls773u8DiZfSHYCBAgQIEAgXmBZ/A1cgAABAgQIhAvs3bu3Hn300frVvn31ohe/uNauXVtr1qw57q1+s+fWeuVbP19PPucRP6g73/3qurOqzt/09frO5vnyl/xzgPyBAAECBAgQWAIB//5YAmRfggABAgQIHC3w9NNP147t2+uO22+vX/z8iZp7wVwd/O2zr0O47PKX1kdvvrnWrVt39FNr2fzmuv+Rzc/7uA8QIECAAAECBM60gJHhTDfg6xMgQIBAO4HHHnus3vaWt9Qvnnji8LBw5MAwAdn74I/rune8s65a/9r64rZttXz58nZOLkyAAAECBAjkCfidDHmdSUyAAAECwQKTgeFNb/zT+vn//t/hgWGx63z73v+qv3rPe2ryygdvBAgQIECAAIFZFzAyzHpD8hEgQIDAWSMwGQomr2D4/6eeOqk7fe/+B2rLTTed1HM8mAABAgQIECBwJgSMDGdC3dckQIAAgZYCd+3adehHJE728gcOHKhvfv3fa/ILIr0RIECAAAECBGZZwMgwy+3IRoAAAQJnlcA/f+YzJ/QjEse79Ff/9avH+5SPEyBAgAABAgRmQsDIMBM1CEGAAAECZ7vA5HcxTH4Pw+m8feuuXafzdM8lQIAAAQIECAwXMDIMJ/YFCBAgQIBA1f79+0+bYfK/uvRGgAABAgQIEJhlASPDLLcjGwECBAicNQLTGBnOGgwXIUCAAAECBM5aASPDWVutixEgQIDALAmsWLFiluLIQoAAAQIECBAYImBkGMLqUAIECBAg8FyBCy+88LkfOIU/XXb5S0/hWZ5CgAABAgQIEFg6ASPD0ln7SgQIECDQWGDVqlX1qiuvPGWBc889tza+/e2n/HxPJECAAAECBAgshYCRYSmUfQ0CBAgQIFBV7//rD5yyw4EDB+qaa6455ed7IgECBAgQIEBgKQSMDEuh7GsQIECAAIGqWrduXb3pmqtr7gUn/9fvJ//p0zV5NYQ3AgQIECBAgMAsC5z8v3Jm+TayESBAgACBGRf45Kc+Va++6qqTGho2fWhz/dnGjTN+M/EIECBAgAABAlVGBt8FBAgQIEBgCQWWL19eX9y2rf7iur9c9KtOfgfDBatW1Zd2bK8P3njjoo/1SQIECBAgQIDArAics7CwsHB0mEsvvqQeeuThoz/szwQIECBAgMAUBfbu3Vu7du6se3bvrr0P/vjwyX+y7pX1hg0bDv0OBj8icZjFOwQIECBAgMCMCCy2GRgZZqQkMQgQIECAAAECBAgQIECAQILAYiODH5dIaFBGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaNBK8C8AAAKNSURBVElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIGBkSGhJRgIECBAgQIAAAQIECBAgECBgZAgoSUQCBAgQIECAAAECBAgQIJAgYGRIaElGAgQIECBAgAABAgQIECAQIGBkCChJRAIECBAgQIAAAQIECBAgkCBgZEhoSUYCBAgQIECAAAECBAgQIBAgYGQIKElEAgQIECBAgAABAgQIECCQIHDOwsLCwtFBL734kqM/5M8ECBAgQIAAAQIECBAgQIAAgcMCDz3y8OH3f//OMUeG33/SfwkQIECAAAECBAgQIECAAAECJyrgxyVOVMrjCBAgQIAAAQIECBAgQIAAgUUFjAyL8vgkAQIECBAgQIAAAQIECBAgcKICRoYTlfI4AgQIECBAgAABAgQIECBAYFEBI8OiPD5JgAABAgQIECBAgAABAgQInKjA7wCbwE91aV/OMgAAAABJRU5ErkJggg==" alt></p>
<div class="marks">[8]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about kinematics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Fiona drops a stone from rest vertically down a water well. She hears the splash of the stone striking the water 1.6 s after the stone leaves her hand. Estimate the</p>
<p>(i) distance between Fiona’s hand and the water surface.</p>
<p>(ii) speed with which the stone hits the water.</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>After the stone in (a) hits the water surface it rapidly reaches a terminal speed as it falls through the water. The stone leaves Fiona’s hand at time<em> t</em> = 0. It hits the water surface at<em> t<sub>1</sub></em> and it comes to rest at the bottom of the water at<em> t<sub>2</sub></em>. Using the axes below, sketch a graph to show how the speed <em>v</em> of the stone varies from time <em>t</em> = 0 to just before <em>t = t<sub>2</sub></em>. (There is no need to add any values to the axes.)</p>
<p><img src="data:image/png;base64,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" alt></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>Draw and label a free-body diagram representing the forces acting on the stone as it falls through the water at its terminal speed.</p>
<p><img 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" alt></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A student investigates how light can be used to measure the speed of a toy train.</p>
<p style="text-align: center;"><img 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"></p>
<p>Light from a laser is incident on a double slit. The light from the slits is detected by a light sensor attached to the train.</p>
<p>The graph shows the variation with time of the output voltage from the light sensor as the train moves parallel to the slits. The output voltage is proportional to the intensity of light incident on the sensor.</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>Explain, with reference to the light passing through the slits, why a series of voltage peaks occurs.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The slits are separated by 1.5 mm and the laser light has a wavelength of 6.3 x 10<sup>–7</sup> m. The slits are 5.0 m from the train track. Calculate the separation between two adjacent positions of the train when the output voltage is at a maximum.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the speed of the train.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In another experiment the student replaces the light sensor with a sound sensor. The train travels away from a loudspeaker that is emitting sound waves of constant amplitude and frequency towards a reflecting barrier.</p>
<p style="text-align: center;"><img 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"></p>
<p>The sound sensor gives a graph of the variation of output voltage with time along the track that is similar in shape to the graph shown in the resource. Explain how this effect arises.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A company designs a spring system for loading ice blocks onto a truck. The ice block is placed in a holder H in front of the spring and an electric motor compresses the spring by pushing H to the left. When the spring is released the ice block is accelerated towards a<br>ramp ABC. When the spring is fully decompressed, the ice block loses contact with the spring at A. The mass of the ice block is 55 kg.</p>
<p style="text-align: center;"><img 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" alt></p>
<p>Assume that the surface of the ramp is frictionless and that the masses of the spring and the holder are negligible compared to the mass of the ice block.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) The block arrives at C with a speed of 0.90ms<sup>−1</sup>. Show that the elastic energy stored in the spring is 670J.</p>
<p>(ii) Calculate the speed of the block at A.</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>Describe the motion of the block</p>
<p>(i) from A to B with reference to Newton's first law.</p>
<p>(ii) from B to C with reference to Newton's second law.</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>On the axes, sketch a graph to show how the displacement of the block varies with time from A to C. (You do not have to put numbers on the axes.)</p>
<p><img src="data:image/png;base64,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" alt></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 spring decompression takes 0.42s. Determine the average force that the spring exerts on the block.</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>The electric motor is connected to a source of potential difference 120V and draws a current of 6.8A. The motor takes 1.5s to compress the spring.</p>
<p>Estimate the efficiency of the motor.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is in </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">two </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">parts. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 1 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">is about power and efficiency. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 2 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">is about electrical resistance. </span></p>
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<p><strong>Part 1</strong> Power and efficiency</p>
<p>A bus is travelling at a constant speed of 6.2 m s<sup>–1</sup> along a section of road that is inclined at an angle of 6.0<span class="_Tgc">°</span> to the horizontal.<img 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PT29g66xiB5H8YdO37XMugC3HihJOsGSLqLIqAIKAKTHYHeng5Un96Plx9/Fr95cwfyb7wV9/7l3+PCgnREOYYQrCy2o/oQXvi/P8W/v7ITwdHh6O1owp6d7+L9Tw7goe88gjvXzUbo+cavz2Hq6WhDk1jdnd29oH+TRBsUHIIIRxSiJoHDU0nW538SOqEioAgoAn6GQG83aot24YnHn8Kmt9tw7zd+igfvX4s0h6vr7EXxgY9xtjUEN33/Wdy3YR7ajryFp598Gi+/9xG2f7AaFy2bhYLYsWfZ5ooibN+5E0fKWxARSsrqQnd4OhYvX4VVs+X8QUGgfTv2V+IKq+HfV5IdHh/9VBFQBBSBSY9AV9MpbPnPTfjgjc+w8cFHcO+XLkZqRK+QU5ALcupAfXMa/mLtTVh87WqkkSlWXo9brjiOM/ueRWVDKaqb2oVk+1i6VyJ9uzva0STvhYRHIFx8pK1NjWiXkN/wqBjExDjQ296ChsYmdPWGwCHvxcZEImQQM/ais032aWhES2ev8ftGREYhMmMONnx+Hjacdxd60dV6Gq1dzWhHKzo7u+EI8z/ZWEn2vBunbygCioAiEEAI9HbiuMi87+34AL3L12Lh4nnoqSzCsYoQJCSlIiEuCmGD2U4WH4El194g2qw8HZBkHcidNw3ZcwrQGpeGtNiIfpB60FpVgsLdH2Dzy58gesZCrFwShe2/fQU7DzVg/oZbsPGGZWg7tg2vbP49Dlc6sOb6e/GFu67CnDRrDnGttldj33u/x89feAUfn+1EXnoS5q5ch6tvuhVrZyWcf0N62lB89Bg+K3oXVRGzsPjkBVg1K/X8/Sb4HSXZCb4BenpFQBFQBNxBgNHAnZ2dcDgcCAtzP5y2t7Mcn+w6iE/2VaPC8RZ+fOQjPNHbjsaGOKy45h58+5G7sGx60hCrUq6IVqbN0uztbsGJY8dQXBaFBZcWICm6/8Pueux++UU8++wL2FVXj473X8crM5ZiSUGcEPgRvPbs3+LVX0QjQYKmLpiWieTKPfjVi5sRk5qH7969FH3e4F6U//l1bPrFO4hdeB9+/S8zsOc/f4bNB45jztpW5yQbHInc+ZfhB49dbn4IDA2KcgfT8dhHSXY8UNZzKAKKgCLgJQLbtm3DgQMHsGzZMkyfPh3R0dGGcCMiIsQtaWPDIefpbqjCmYZKlIRGYsnlt+GBB+9FQftB/Mezz+A3r/8C/5Eaj5RH7saM2AGTdcgMfCnWavEBvPtJEbpXrcGVN65AvHXKkESs/dr/xvQFWXjssSdxNH0DHnnk27hsVjR2/ddjeLTkWbSvuRsPP/w/ccnMcGz7+aN49NF3UHfmJOq6lvZJ0ZLlWnaiDGU19ciI7UVITC6uuGU9zu4oRfsw1ZyCQ89d83AYOFnQuL2lJDtuUOuJFAFFQBHwHIGSkhI8//zzeOzHP0betGm46HOfw5o1azBvzhyRfZMk1zXWkO5QsumRXNfu7m6EzLgcV278Aq5bPkcU4Bn4H7UnUHHmSew7eRB7i6oxY5FrqbWztQzbXv0dCk9EY93XNmJZTvR5C4mIikBE5DRcMH0RLshPkc87EB4ehPCIaZiWtxhz8pLMezFxYYiJ60CXpAh1DlRDDEN8dhySHYex+Uf/gBN/3osvfmk9rlu3GCnJyeedazK9ce5nwGS6ar1WRUARUASmEAKsz5uYkICkxESp09uNkydP4pcvvoivf+1r2HDVVWIlPoxdu3YZOdkVLGnJsUhLjO5XgMORkTNXthnoaOlEV1u3q8MkoKkJ+/7wPH7zx+O4cMPduOfKORguvEguDz2D0lk7hOQ7h7zX5+o9N08Q8pdtxNWX34PlGZ0o3PocvnHnQ/jRU1skP1eiiQfN5/JS/fIDJVm/vC16UYqAIjAVEaBfkX5X+l8bGhpQU1ODiooKFBUVoaa2FmHhfR5Mki73DZECDZSL09PTzRbe//kg7IJDES5b9amzOHGyGG39hBWTlo7YtAzx74YgVAKfOB+jhHuEIS1O6+5oxYmPXsGm3xUhd/1X8JWvXIR4dKOtpQWtrR19dSAGTtavH1sy8sD77jzpRUdXFC7+wtfxk18/iwdvvhLTEqrw/uYX8F+/fA81AxavO3P51z4qF/vX/dCrUQQUgSmAAAnNdI/p6jKk2iWPHR0dQlytqKqqAqXhstJSnC0uRkVZGUIk0IlycEjIOdsvXN6jbHz33XfjtttvR4JYus5GeFI+luXOxsK6tyUatwglTcswIyYI9eUlaKhpwOwZGZiTn4iOxgqUlVWhNyYFGULaYd2tKNr1WzzxzDvoLbgS996wBJ3V5ShuKceODw4hJG0Grrx2BfqEYynVGBQiW5AQbzekAqMMknY/ecu7fdYtSVw+MUR+jswhPtlCIdS9NSFYet/9eOif52DVBY/isafeQ2dXGzpoaJ9burNl+u17SrJ+e2v0whQBRSAQECCZ0jqlX5SP1lYrVmqpEGmxEGmJPPJ5pxBtmhBcXm6uCW5au24dsrOzJc80Bi3NzXj0scew99NPERkZiZUrV+L+Bx7AxRdfjFBTpMEFWsHxuPC6y3HJqUK8uu9dvL4lGzdLis0Hv/0A+ytn4eo7r8EscXsefOk5CUj6KdrXfgsPf/sbSD71Dh5/4mf47YfFyDt1Cn/z6UsmD7a6uhRN2WtEol6KSHNKsb5b63HqxBGUlhxHT0oRTp6uECu5B1VC4o3ywyGkRgi8sg7xcU2oKK1BXV0rHA3VqK5pQmp6TF/lKEcz/rhzHw5nzEXspXPQE5WAlNxsJMcnIcb9YGoXIEzc20qyE4e9nlkRUAQCCAFap7RISaa0SvmchNrU1GSsUhIpLdQSIdWGxkYpxhCD3Lw85Mm2cNEi85goPtdgkYCdjSiJJqa1ykCgDVdfjQeEYGfOnOls1/Pei5t2Eb74FZFkf/Zz/PL/fAcvih4cO+sS3PXwA7jz8jkIkyClsKh4JGdkoz1eSK/lLP64bSf2nGpBbm6iWJ5tqKxsM/NGRUVh3ZoLcPGiaf0ptN04teu/8eprW3CsRdhwx+/w7+GtWD07Gge370SZ7F+29bfYnBKMFRmN+OBPW1GZFIXK97bg5Yw8fOWr1yA3Bub8Ka0n8P5P/wq7npQLDI7FouvvwvU3rzoXyXzeyvz/jSD5w7Dkd/+/Wr1CRUARUAQmGAFXUm+L+Cmrq6uNZUqpt1gItbK8HMFiZeaKZUrrlPLuNCFVWqtO/acjrG3Hjh3GV7t61SrExcePsLeTj7vb0Syk39oVjGgh+cgIm4konzU2taAnxGGqMTmneidz+ugt/ijplfKP3e28jjYESW3ieCH8MI98vD66KB9MoyTrAxB1CkVAEQhMBIzfVKxRRvRaMi+t1DoJQqLMS4nXWKfy2C0kkZqWZsh0mpBpjpCqJfUGJjq6KncQUJJ1ByXdRxFQBAIageGk3lKxSEsl+MiQqjyvl6jf+Lg4Q6IkU1qpfKSU60rqDWjwdHHDIqAkOyw8+qEioAgEEgIjSb1nz56VCNsyY51S6mVUb05OjiFRQ6ZeSL2BhKOuxX0ElGTdx0r3VAQUgUmEgCupl1G9JgiJUb20UkXqpRycJlIv/aUMRKLvNDMz00T1TqIl66X6IQJKsn54U/SSFAFFwH0ESKaM6HUW1TvgM6X/VCxUFniIk3xTkqgJRuonVUb1Di1H6P4V6J6KgGsElGRdY6OfKAKKgB8iYA9AYhCSFdVrSb30nVLqDRWp10qRsXynaampUkv3XHs1P1yeXlKAIaAkG2A3VJejCAQ6AsePH8fBwkLTkcaSellWkCkylHtzxUrNysoyXWoCHQtdn/8joCTr//dIr1ARUARsCLA4PksPssqRFdWrUq8NIH3qVwgoyfrV7dCLUQQUgdEiQF8so4atyGEeTz8tB98LCg6SzjPyP6mry2bnmmZjoNH/jBMCWlZxnIDW0ygCioB3CJBMSZ7WRn8sN3asaZcqQS1tLWhvbTevW9tb0d7WLgUiuk1lpcioSLAcYGZGJlLFL8vavzoUgfFAQC3Z8UBZz6EIKAKjQoBE2tUtZfakWwvL7XFraGyQwvJ1qJVqSw31Daitr0VXZ5eZ11iq0q4tVFq6BYcGIywkDBGOCGO1trVLF5f2DlOxKTgkGHNnz8X8+fMN6Y7qonRnRcADBNSS9QA0PUQRUAR8gwDlXEvu7atd20eqJNP6+nrTT7W2TkhVUm+4nzUo/YYEh0ikcLgQa4jpsxonVZhYPD8lJQVJSUnGWuV+bWLRlpWV4tix4ygtL8WJohOmbdzs2bM1bccCVB/HDAG1ZMcMWp1YEVAELAQsf6kl9RpLVazTltYWQ6D1dfWGVEmsTc1NgwjVmoOPJE0W1o90RIK5rampKUgWUk2UkoZsXj7cqJO59+/fJw3QTyI7KxtLly41ZDzcMfqZIuAtAmrJeougHq8IKAKDELAsTsq9hlS7e4yflC3fjFUqUm9dfZ10Wmk0Mi4Pptxr+qZJTzB7K2/7xNwnNi4W8+fOk8L7WYiLG10XmgTpWlMwc5Z0oWlBRWWFNEQ/K11e4gc1QrefT58rAr5AQEnWFyjqHIrAFETAmdRr9U+lRcqNZEqpl8FJJFwOy39KudfhcBi/Ka1QWqhtrW1m346uDuOPtcMaEhKCZRdeiNycXI+JMS0t1eTQVtVUSYPxUqSlpoE5trSQdSgCY4GAkuxYoKpzKgIBhMBQqZeWKrfW1tY+IhX/KYnUmdRrJ9SwcEmfCQo2ZBoXG4fEpAQkJyUb2TdWSh0ytYZzHpNiE0ePHEVDU8Mgok0Wf2tCfILHBMtbQqJOT09DalkqKir6rFn6bz3p7RpAt1iXMoYIKMmOIbg6tSIw2RCwpF4+0vLkI61QS+olkZJQGxsbTdrMcOtjsQgGJsXFkFAThVCThFCTpCVcnBSSsDULt03C1JqFCxaYoKYDhQfQ3NJM/diM2NgYU4DCtrtHT5OTU5Ah1islY8uaZR1jtWY9glMPGgEBJdkRANKPFYFARIDWKaN5OayoXkvqtSJ7SaaUe0my3N8+DCFRYR389sAuYUKi7GYzf/48E1w02gIQBQUFOHP2tKlLbPloSfhDr2PghKN4EhoaIh130pGaXIayir4+sZo7OwoAdddRIaAkOyq4dGdFYHIhMKLUKyRq/KYSjNTc3Ow0qpeESquUREk/aoiQFCsnkZyZf2r8pyRhG+HOmDkdixct9rh+cLhIy0kiJVdX1wxYzA0Njejs6vTJDWCaT1q6SMZizZaUlpgCFTNnzlRr1ifo6iR2BJRk7Wjoc0VgEiPgSuo1/tIGCUSSjUUc+JqVkpwN+lBZzIG+09CQUARJgYfIiEgkiP80KSERSclJSBLJl4FK9J+ePHkKR44cMXP39PYFNvHY3Jw8KfbgXVWleMl7JZmzmhMHi1F0dviGZMPCQsU3myG9ZMsM0bJzD/vJMtdWhyLgSwSUZH2Jps6lCIwDAoOk3v6qSJR66Se1onqHk3qdXSKt1PCwcFMliWktxn9q/KjJpjKSM7mXZQopB8fERGP3J3sMgfPaHJEOKQThEKsw2Nmp3H4vQXJfSbLWsNaYnJJsfgBY73v6mCrWbLrIxtXV1VKsok82jomJMRa7p3PqcYrAUASUZIcioq8VAT9BwB2p1yLVkaReBjFxPm5DBwk0RYKB5s6dYxqZjzbSlr7X02fOoKW5xZQupEXr7DxDzzvSa1qV5lpsvt96scS75AcFrWxvB+dm+k6pVINiVx/2o6WMTP+sDkXAVwh4/5fqqyvReRSBKYyAFdRjijfYonqN1Nufc0q5l9aqS6lXfKdMUbF8p5R9oyOjESNRuQxeahSfJovoG1nZxrW0GFetWmkIxtNbkC7+TfZ2pbXJIv2tJliqxytrljm0UZFRxg9sSeF1Uq+4QyRjh1R88sVg3iyJtqamxqT0FJcUm5Qi+qB1KAK+QED/knyBos6hCLiJAC28gahem9RLMiWBsug9/aa0UJ1F9VqnseefhgqxBknhe0e4A/EJ/VKv+E2TxI8aKSRlpaaQSD7duxckEnMN/USbnz/N1PK15vbkMT4ucUDaZTRwg1x/p5DXaK3ioeeOl3SfsLKwgYCshnrfBT/xXPQtUzIuKSkxjQdKiktMgYrMzMwB3IZek75WBEaDgJLsaNDSfRUBDxCgdUcLlRYoZV1jnfYHITGy15XU6+pUtFYdEY6+3FMTiMSCDgmGKJ35Tq15WHThQqnXy6pKjKq1UmPog7X7Pq39R/MYJ+UOSagkdP6QqJNaxJ2dHd6TbFyfX5Y/ODgY/MQWdsRzuLWOdO090t2np4fdfbpl7aHG78zuPkY2lnKLxIqWtA5FwFsElGS9RVCPVwScIECiIbnSIrWCaqprqwdq9To5pK+5OElKCMAQoE3StfZnq7aszCwsXLhQfIfJQjQh1kduPVIazszKNNHAFnH1BQU7OZlbM/btZEm7JD5Ku5S2O/vb0I1imvN2jYuPHfQDgORKMiSpx8TEnre/qzf6SJUFNrrNdfGHTllFOcokupgWviXBd8vnVoGKadOmqTXrClB9320ElGTdhkp3VATcQ4AEyy/xQ4cP4cSJEwMpKPajafEN+E/FMqXkGynRuiziQMuW3WlI0pzLPlKSUrB8+TKpmpRgf3tUzxlVWyQyqUWyzdL1hhZdePjoCHvoSXlNbCXX3SokKz8uLOIaut9oXkeE9/WEtR/DtCFD6lHRTq1ZYtYtTQlIqNw6hOybpRlBdXWtbFWorKxCU0vToJKN9vnZxOCMBHLRwmcFKv5wsDbeN0t+tx+jzxUBVwgoybpCRt9XBDxAgF/wTAnZIykttGBpeTnNPZXAHeabJojM21duMNH4B/kF3tLSgs8k9/To0aN9FY9sRJuTm22++D24tIFDTNSupOvIhZkCEqzw1OELaTde/KfyI0FK/JsfFlyHt7IufwjQurQPSt2sg0wCZD3jELHuCRGJtVv83DwvrV1aqDU1tX3+bWnc7u7gPTx1+hRq6mpMScio6CjEitUcHR1tNhI8fyAFBff1tCWOVrSzErC7KE+d/ZRkp8691pWOAwIMXtq9Z7chWFZAIhlEOaIQnygBSYnJUsxBijokpsiXdaRYRM7zSJl/unjRIvQIaXx25LNBlnB0FOv3emdxMheUAT8kBBIK02JoNXs7aMnaA51I3hkZGR77Nkma/KFCH+zQwQAlEmm6FJCIlx8qXRJxXCvn43ssksF1eTOIR41Um+JmH/zBxHtKDLnFS7s9NjdgBHdMdIyRtmn1WioFnyvx2hGces+VZKfePdcVjxECtNr2H9hvgmf4Jc/0k4JZMzF71hz5Io6Ws9J0dG/wy7mgYKaJem3vEJLp5wwr1ce9WZzvxblj6eusDDOSrq+kXZIOLVnLQq4RwmPw02gCiIgb/afd3Z3GZ8qOPCTNoYM+a1qsRSdPAvL/8Ro8L2XwPit5MAHTmqW1ywhvdgvijw5KzvzRRKJlWpCVGqTEO153bOLPoyQ78fdAryBAEGCeaHl5ubEK+SW6cNECaRJeMMi6G81S+QXNL23KlrRqOfoCiqQYA8nMi5HQH7VLwiCJs5AEZVnWJvZ0MEI5VCJ1WVaRBSmIR01NnVmDqwAtWqu9vWydd67jT21tnRxbIn7Rs2gbhczr6XX76jg2qef94XZa/sdBLCKlvCRlbW6MWmZ7P8vX66tz6zz+i4CSrP/eG72ySYQALbAzZ6XqkVhXHPTjsSG4XT71ZDkk2rJykUy7++v3Gmm3S76kPZnt3DEJYm3Z03Yo7TI3NMThOcky97ZLgoysGsYk8MLCQinVGI5EqXscYqo0kUz70mdYVIJWdE0tZVnxocojg76oCATKIBZcE7fTp0+LkR+EnLwcLF281JBuoKxT1+EaASVZ19joJ4qA2wgYH54E2li+TfZQtaRBtydxsiOlR3aksYrkM6/WOoeT3d1+67zgp4a+eUcj7dpPxh8ZtOJb20XatblDyyVN5k8fbBUCzzDlCjuFiOskepekypxXqzCHfa6JfE45mEQ4VoPz11TVGJcCrVqVjccKaf+ZV0nWf+6FXskkRsB0iLEFDw2NiPV0aQyssVucTY1NRkIlqXnzBU0/YYRD0mP6pd36WtedeYa7dlqd3Jqamk3KEq9v6GDjdfpWufn7GEuCtdZOPBiBTtWD7gAdgY2Akmxg319d3TghYGRSm8zJKGNfWJzxTIuRdBsSKomV/6uXakosYs+uOd4MBikxDQWizlIuZmoMLVw7qdvn5/lJqAy+4iOt0KamJmPBnigqMrnBfF/HyAhUVlUaa1ZJdmSsJvseSrKT/Q7q9fsFAkNTNRgRS0uFpMPPPB306Uaz6ILkgnZLwQgOqxONNyRLgmxtax0IqCJ5FxYeNGkoJPA+og2S6xcfq0T7slhFa2uzSZMxqS0i+dZKDir9riRfHaNDgL5oWrPZ2dk+cSuM7uy693gioCQ7nmjruQIWAVokzI20jwZTWjDD5KTa3x/tcxasYDu21q6+VBb6ZRk0JIqvR4PET/8pfwTYCZLW99YPP0SWlF3MysxGSGiQWM0NEpDUV9iBPxzUUvUI8vMOohpAkmWwFwPkdAQuAkqygXtvdWXjiAB9nPYC+Tx1rSmS3+k1ycZJsQOmxqA/XZQFF/pKItKCdC9Ih+RIQqVFWi+dfvbu22e6/gyFiAFWRUUnzTb0M33tWwRIstVV1UhNSfXKv+7bq9LZfI2AkqyvEdX5piQC9Jmy9F5FaIVJYyEIlAR94ZcledslZxIhm6TTf0pyHzos3ynr9lr5p/SdsiZvRXmlaXVn8k9V5R0K3bi+plzPrj9NUjuafzs6AhMBJdnAvK+6qglAwKp4xCAoDvaFpc/S28FmAZY/1prriNQ2Jsnm5mT3B0ZJ/JKplETfaatpNVddUyV+Uyk1KORKy9cuDVvz6OPEIkBrlkTLkozeRItP7Cr07MMhoCQ7HDr6mSIwCgRYw9aeG8ui+7QgU6TrzVB/rbvT0hIuL68YyJO1juP7O3fulCYCSciQ5ujyDW2iexmMxBQR9Z1aSPn3I/3rVZVVyMnOcRnV7d8r0KsbCQEl2ZEQ0s8VATcRoGVpfKe2/VnjNisra1Sdc0iQ3BgBfOzYcalfXOxUduY+tIK46ZicCFBdML5ZsWjZTEFH4CGgJBt491RXNEEIMMLYFMi3nZ++07y8PFMk35kcaPlP7bmnjdL7lBWRzkqZxgrJp7TkZ9u0+jSAEGAgW3VNNdKko5Dd9x5AS5zSS1GSndK3XxfvSwRYktAq/G7JtaZ5+6FDRi6mpcsvUX5GcrVyT9nzlEXx+UXLL1xKweo/9eWd8e+5GIRGybghq8F07vHvq9WrGy0CSrKjRUz3VwSGQYDWLP2y9oAntmOrklSNjMx0Uyi/tbVNgpH6GoozIMki5GGm1Y8CHAGrAhTb4+kILASUZAPrfupqJhiBuNi+xgB2kuUlUQJuPNo4wVenp/dXBFjzmUpGbnuu13nV/rrGqXpdntd7m6qI6boVgWEQGBphPMyu+tFkQkByill6cqwG52ZPX6Zr6QgsBNSSDaz7qauZYASUZCf4Bvjo9JTwO6V0ZUdXh6nvbIqKiB+dzRpCQkOMj531nfncV517eM4eaV6vI7AQUJINrPupq5lgBOiT9bZR+wQvYUqfniTHnrhVFVVgwY/jR4+ivqHBNKInmYYKscZIla20jDTMmjUHuXm5iI45P6p8tCBy7vCIcJWKRwvcJNhfSXYS3CS9xMmDAIOerGYBTMvRMXkQoOV6pvgMdu/cJb1vj6G9rd209Ru6gjqJAC8pKUHhgYMmB3rZsmWYNXc2oiKjPK7aRKuYQU/829ERWAgoyQbW/dTV+AECVoSxkqwf3Aw3L4FR3vs+3WuqaFVJYYhuKQQy3OgR6Zg1pE9J5HiZdDRaWlqCz33uc4gXonSWDz3cXCHBIUhLT0O6VO4a7bHDzauf+QcCSrL+cR/0KgIIAebD0jLhl7AO/0eA92n3rt3Yvm2bRIE3jSqlimTbKi0D98jxLG158cUXm5rS7qw6OCgYIWEhSE1Oxdw5c003HneO030mFwJKspPrfunVTgIE2CjAXsN4ElzylL1EBhsdPFCI3bt3o0EItldeW4NNBIOkeAjvJX80Mba4Sxo+dIkbgMVC7AVD2uX9P+/eA0eEAxetuQiRjkhrmkGPLEbCOtbcGCQ3PX868vPzVSYehFJgvVCSDaz7qavxAwQ0wtgPboKbl1BRUYGjx46BftZBBBsUZIgvMzMTM2ZMR0HBLLFwu2Xf46bhfYVIxJWVlYOs3jaxiPfv3YukpCQsWrIItFQNqYocHBQShLCQMETFRCEzPdP4ctk4guStI7ARUJIN7Purq5sABBgAExERYfxrdmtnAi5FTzkMArRiTwhpHpUIYjZjsEawEGyq1BG+/LLLcMddd2Lp0qXG8rQ+Z/WuzS/9Gi+++EupL312oHkD73Wd9BA+ffo0CmYVmIL/jDxOSUpBckqykYOtoDhrLn0MfASUZAP/HusKxxkBWi/RUdEmh1KL+48z+KM4XU11DUrLyyQf9lzPX0rEDF76whfvxZe//BUj6Q6dMkUI877775f9EvHTp54Cm0BYVjDzaU8VFRnZ+Lprr3PZGGLonPo6cBHQik+Be291ZROIACXjoR15JvBy9NROEGAaDq1OuxXLHOe169bhyivXOyVYaxr6aW+44Qbcfvtt5+3HHsLtEq1MKVijhS3Epu6jkuzUvfe68jFEQP2yYwiuj6ZuamwEawbbR4R0UlqyZDHmzp1rf9vp8xiRghcsWIgZ06ebyGJrJwZI1YiPlx2VAnVQGmd97mb5QVFXV2f80+ydPLRmd6CufzTrUrl4NGjpvoqAmwgYS1aDWtxEawJ2Eybs6e1rOThwdiGO5GTxnaamut3XdebMGZg7by4OHjw4QDCUnxkUVS/+Wc41mQfJlPneJE9K4bT6ubVI2lJpaSlOnzqFU6IGlIkqkCxrvf7667F48eLJvGSfX7uSrM8h1QkVAYBpPEzT0OGfCHRLpPB5dYIl4In3LWYUVZciJFUnSsosBtvuNVN8mDtr9/X6JwqDr4qBYBaZWoTK1/zBcEb8ziRU+p8bpcxklGCUm5ODmQUFRjbPzc012A2eUV8RASVZ/TtQBMYAAWcN3MfgNDqlhwiwylKwKe4/eILm5mY0yebuoFzaUC+1jYVYrREqhOuIjPTb9BySKa1REqm18XWDWN60Si1CrZbKVwziS5NKVAUzZ2L1RRfhjjvvRGJiov6AtG62G49Ksm6ApLsoAp4gYFmz/FLTMfEIMAiJLeVCg0PF8gw2aVYkEfuorKpCeVmZIaGRCoqIkio1jo/i4KFDA1Ix5wqT4Kk0SQFKEDKayOFK6uUPiTJZI0tCklTLRfZtE4uVUvl0KYxB6/TKK680KUja7ML7O6gk6z2GOoMi4BQBNnAPCw8byKN0upMXb5K8zSadY0geJA5Tqs8mXXox/aQ+lF1tWACCFiu3oGDpoCMRwcxhjo+PN1tDXT0+kSpNtNys0SEFJQ4cOIAjnx3BvPlzJTp4MAlb+/GxsbEBe/fuR5Gk7NgHLVmSLItSjNeg35TWqCX3Ws8p9TKCmlLvGcnpZbBXpMjbeSLvkkxvvPFG5OXlacWpMbxRSrJjCK5OPbURiImV8oohvv0nZqI6OzvQ0d5hojqrKipRW19nCtrHxcUjKTnJEAj9hJSsR7LGJvsdonXKzfzAEKvU/MgQUo2IjEBCXAJi42INHgnx8pxpVba0Gh736aefmgAekhIH6xhv2fK2KUbxwP0PIF1a2g0l2p4eqVfc2oy33noL77z9tknXsXBkni2rRGVnZ7sdPGUd686jXeolofK6uTHIij8WaJ3ysVoscvqJKfXOEjK9SJoX3ClWqkq97qDs2318+w3g22vT2RSBSY0ALVlfkhy/VFn+74DU2j0sEmWDWCXMx+wS3xrTRngu9julKJqRmYVVq1eKlTLNBKQMlUUnHbDCXqZMIYvq05cqlilfMxeZ5BmfEG8K85NMaanyBwZJdLgxe/ZsLFu+HNt37DCkZO3bInLqpk2/ktrEwJ133i4WabLMFyn4BgsJd6Kmugq///3vsXnzy8Y6tLsDGBB06eWXY9WqVdZ0Hj3yx5RFoIZMGdnLgKrWVhQXFxvr1OoA1CF/A4ki9c6YMUN63M7ChquuMh19VOr1CHqfHxQkN5P/PnUoAoqAjxHgl+Tb77xt/F/eTs2Uib1//hS7du0CA1JGbKMnBMPSjqy7u0Y6w+RIJKgvCd/b9Qx3PMmTUq+xSsUa4w8EKgLsbmQRakx0jCFWyr/erIvS8NNPP40333xzkEXK66MawB6vlFWXL1+GlJRUFBYWYuf27VIpqtxEENu/PknpMyVA6DsPP4yNN9003BIHfcZ7aQUgWVG9tKirxBo9xRQZ2Vg4g9ZqrJB4tki9JFOei1G92oN2EJx+90JJ1u9uiV5QICHwp61/wkmR8EYkxWEW3dzUjHf++DYOHTyMFolmZXs1dwcJikRx9TXXoGB2gV9VobKkXqY68TqtjaRBQqVFalmmJFd+7utBkqRV+sRPfoLPPvvM5X2izBwi5+8Qi9JuuVrXQ4JNloL/X/3qV/HFL35RZOo466OBR1dSL4s5sAYyyZS+UxayYP3kDJF6ZwqZFgjJ5+f3Sb1jgcHABeqTMUFA5eIxgVUnVQT6EGANY1panpJsW2ub+AjfwsHCg2BjcbvlxDMYSVS+kEk//GwoAfOLvVa+xN8SSy007DojKY57/q4wkDOpl+3gjGXaH4hEUiW5jqfMSfw2bNhg/NvPiEV7SvyZ9nScvruIPkvTejHkkYSYKEFOn7/lFty4cSNi5AeBZZFaUm+nqBp2qfeMkCmtYUq9SULO06VqFMn0KpF6GTQ1nhgMWY6+9DECSrI+BlSnUwTsCHjTwJ0EuWfPHpw4fuI8gjV9TuXLPUG+3NkyjUEujBytEim5Tfx2JArL3mXxelpLH/5pq/HPZmRkjOivtK9hNM/tUi9/XJDEKPVaAUjEg9ZpXHyc6bnqD5YZrdRbhCA5nn/uORM41CIYDv1BMxQHro3WLRsKMEr3JpGI6QumVTpU6mUOKotc5E6bZmTeC2VflXqHIhqYr5VkA/O+6qr8BAFKn576DFkLlhImv6DtX/gkpqysLONnvebaa3DJJZeY4gCFYu1u+/BPOHL4CA7JcSxUbx1H/zC//JmaQoKjhe3NIMEYknFD6rXyhb0531gfS3K8Uwot0Jr81a9+hZ0SDFUl6S9sxk4MzQ8WyvTcZO18ZCpMulidLNKQLj9cNr/0EqrlnpF4Lan3YvGH00qlZO8PPyjGGked/3wE1Cd7Pib6jiLgMwSY+P/ue+8ay2a0k255awt2S6ATg56sQQt2ulhD3/jWt3DNNVcbedX6zHqk1fqP//CPeOMPb6CpoXHAoiUxxEuBhNtvv10sqlxmklqHDPtoycvGMu2P6h2QeiWqN15Sh6zo3vCw8GHn8vcPSaiNoghs+/BDvPrqqzh8+LBRERjZS8k/TKzzcAkoi5aKTiaiVwh09pw5xjolQbNWsUq9/n6Xx/f61JIdX7z1bFMMAUao0mqsCa5xGjDjCg76Yiuk1ymjTO0jRVI1/vpv/waXS5oIo4edDVpN3/3L75oas+++/76Rj81+YoHRr1su86ZnpJ93vDOplykybDxOiZfz0gomqdLym+yWmbOoXuLD6G1asBcsWCDrjUe9BCKFiKSc3l9ecPGSJYZUNarX2V+fvjcUASXZoYjoa0XAhwhQUmVxgqqaKmkL5n5N3JLSEsmDlUhi8adag1bskqVLMUcsJ1cEa+1LOXnjzTfj+PHjOHrs2MA8DLQ5c/qMsb4o45IoudFa5Y8BK6rXqoo0GaRea82uHl1F9bIVHSV0U/heqiJZUi/v1wxJj1Gp1xWi+v5oEFCSHQ1auq8i4AECLBJQXFIseZUSkGQjzeGmKikuMZao5VPlvnEStbpx442GtIc71vrssssuxcsvv4wiSSFilCsHfYu01Findv78+QNSL6N8I8KdW8bmwEnwH2JF37OVc8oiHVZUryHT/vKC5RUVJqqXrdnYC3aWFKVgipNKvZPgJk/CS1SSnYQ3TS95ciFAq3Pe3HlobWuVykLVJpBmpBUwaImEYR+0OBmRGin+QHcGpepIyroM1LENEv3CBQulOfkS27uT5ynJlGuwyJQ/ICj9WlIv85KtAg5sy0ZrnLgVSM7pCqnwlCPPiY0ORWA8EFCSHQ+U9RxTHgHWsiUJ7Nu/Dw3yxT+yRWviWQfhRqq0W7aDPnT1Qgj2/Jlc7ex/79v9pnYr1arVa0m9LODAqF5KvazQtFYirvPFStWoXv+7p1PtipRkp9od1/VOGAIsg8cI3QOFB1AvHWDaOyWoyQUDmnKB4ie1j26x4OhHpAXH3M6RBkmdObPMk7UPViNilKw/Df7oGCBRsUwp85JgWav5rNTqpWV6RuRedpXhYHWl6fn5mDN3Lq699lpT0N8dTPxpzXotUwMB//qXNjUw11VOYQSmSfpNalqqKTDBFmmUkLt7uqV4RI+pisTSTYzypRW2f98+NIpsbA0S5tatW3HBBReYPFnrfVePu3fvMXWTu20kS8mZqSasSjQRw/KbWoRKqZcEy1SnUulrSsuUPU5LpVYvfySkiN80nwUc5JrXs8epWKpKphNx5/ScniKgJOspcnqcIuAhArRSF0h6CKOEmQNL+bi5pVnkzhDjb2WE78oVK3FIOu2wibjlm2U6z6uvvIpVK1dJ4FKSRBg7XF5Bk0Qyb/rlizhy5Migko7sEsOo2fHodepK6q2QwCNapSRTPtL/7BA/M3uc0m96w/XXI0+IVVNkXN5e/WASIaAkO4lull5qYCFAi8xKlRm6Mkb7ZksaTkR4+ADJch9Wf/q3H/9YSMkhnWGWm9q/tE6tQcuQ/spfS9WiT6Rrjz3Plj5d+ijnzZtnjrOO8fZxJKmXgUgkU5Ya5KB/erpEXF+0ejXuuusu0+PUvgZvr0ePVwT8CQElWX+6G3otikA/Asyv3SjF5j8TS3T/3r2mlyg/YuWhUyIzP/LId3Hbbbf2+SNFUiVJkez27t2HXzz/vGnJNjTAKlwija8T/yVzaD0ZdqmXZE7fsCX1shUbiZTpQuVlfUU0LL8p5WkW4WfNZJV6PUFej5nMCGhZxcl89/TaAxoBEti//PCH0kB8kwl4GrpYq1BEbGyMFJGIF9m10RSwaBL5mWRsH0zjyRfr8cknnjAFLUjiww1nUi+JlVLvWelUc7I/EIm+VEq90/LyjN+0QIK7KPVqisxw6OpnUwkBJdmpdLd1rZMOAUq/3//+9/HmH/5gauo6WwADlIejTBJspki03/ve94xFafd1OpN66QOul/rHp4VMT/f7TSn1kphpBTMIaaYQNqsiaYqMszui7ykC5xBQkj2HhT5TBPwSgWIp/fdDsWjfeecdEyhFYnR3UEbOzsnB/fffj+sloIjWrztSrz2ql6lHKvW6i7jupwgMRkBJdjAe+koR8EsEiiVX9PHHH8c2SeEpl2bfLGDvatDi5MZ6xCwV+MCDD2Ld2rUmHYh+U0q9lHxV6nWFoL6vCPgOASVZ32GpMykCY4oAA422bNmClzdvNn1m2dKOubOUd3ukUAUHZWOHlAyMlzQglhLMEpmYxSiMRSvPKfEyEEl7nBq49D+KwJgjoCQ75hDrCRQB7xAYGtXL3NrCwkJ8/PHHOLB/PyqkClJnv2XLXqYMPLrwwgtN0QoSKlu0aVSvd/dAj1YEPEVASdZT5PQ4RWAMEBguqteqhmRJvZFisVpRvQxE0qjeMbghOqUi4CUCSrJeAqiHKwKeIGBF9TIIyWrJZqJ6JZrY1OkVn+kpyTmtrakRDTgIORK8xAIOKvV6grYeowhMHAJKshOHvZ55CiAwVOq1CjiwlKAp4MCcUykuUSYFHEi4jOpl4XuWF2QfWpV6p8AfiS4xoBFQkg3o26uLG08E7FIvyZSWKYmT0cBWvikfGdXLGsJW4XuSKRsHuNsndjzXpOdSBBQB7xBQkvUOPz16CiLgSuplWzYWvT8rea2UfGurqwekXkb1Mt+UGxsAaK3eKfiHo0uekggoyU7J266LdgcBu9TLQvsmVUbSYRobG/vasgmh0m9ql3pnSIs6Sr1MkVGp1x2UdR9FILARUJIN7Purq3MTgdFIvdFSNcmK6lWp102AdTdFYIoioCQ7RW/8VF02yZQbfaWtUsiBFiqlW1Orl5apbPSb1tmieo3MK/mmJFSVeqfqX46uWxHwDAElWc9w06P8HIGRpF76TLdv24atH35o/KTz5s836TFMkSGpshyhFnDw85usl6cITAIElGQnwU3SSxweAWdSLy1UK6qXxRtIqqyUZKReieRlSzaWHHztd78zPtT169cjKSnJ1Pwd/mz6qSKgCCgC7iOgJOs+VrrnBCNgl3qt9Bg+Mqr3DInUJvUG9XefYSUk05pNSDU2Nva8qF7mqz7+2GOmx+pll11mutRM8DL19IqAIhBACCjJBtDNDJSluCP1ssRgaWmpifg1BRwY1dsv9aalpSE0NNRtODjPs888g6uuvhrLli1Tmdht5HRHRUARGAkB97+JRppJP1cEPECAlig3Fm+wCjgYqVcqIJmm4UKmtFKHSr0rV65Ejsi9rN/r7cjMzMSVIhfv2LEDJGim37BVnA5FQBFQBLxFQEnWWwT1eLcQoNRrl3gtQrWkXvY4JZmygEOw9EHNkTZtlHrXXXqpiep1JvW6dWI3d1qzZg22f/QRjh45YvJbo6Uikw5FQBFQBLxFQOVibxHU4wchQKnXIlCmyXDjqJfC9yRRNg2nhVpZUWFIN1Usx3yp1TuLKTLiNx2t1Dvo5F6+OHHiBF566SV8/vOfxywpKKFDEVAEFAFvEVBL1lsEp/DxJFMr55RkynKDzD0tEx8nLVNG9ZJY29rakJCYaGr1shrSunXrjLXoC6nXl/AzD7ZbpOtK6c/KWsLszapDEVAEFAFvEFCS9Qa9KXKsK6m3uqrKFG4gobKAQ0NdHSIcDuTm5Rmpl4FEtFLdlV57ujvR0dqGppYm9ITGIj4uEhGhIc5R7u1GW2szGutl37AoiQqORpQjDJYntbujDS1tHQh1RCEiLATBQdYnzqez3l0hvt6TUiqRQVS0qnUoAoqAIuANAkqy3qAXYMdS6qVFardOuURKvSRRWqYk1HIJSuLIkIAhWn8rli/HbbfdhuTk5PNSZMyOI/6nB+3NDTh7dB8++mgntu/Yjo5pN+Lb992I+XkJCB56fG8nGs4cwhuv/jfefHc72lILsP7mu3D1xYuQHhuB4J42HPtkKz7adwZJBSuwZsUcJMeGDxDw0Onsr+fNm4fNmzeDqT1KsnZk9LkioAh4goCSrCeoBcAxI0m99J1S6mWkb6IUaWBbNkvqZVDSaFJkhoerF611p/DuL5/C3/2/N1C+6Cb84Kt/j2svnIWkWMf5BAv5IVB3AD+540t48fgCPPLUdxB/8t/ww/vuw5l//inuv3U1Ums/xG/2d2LDxctw8NWPcSozHrFz8xDhhjGbkZGBxoYGI3sPf936qSKgCCgCIyOgJDsyRpN6D1dSb5X4HWmdWgUcLKk3T8iUnWSuvuaaUUm9noLU1VKMV//1DvzjpqNY+dWnsPn+jZiROkxkb087tv/Ho/j1qRLc8+QTuOmGtUhFLo6/ew+eeHYTlizOx+XJochIdSAsOAbJSeEIDg9Cj5sXyFKK3eJbhlj1OhQBRUAR8BYBJVlvEfST411KveInZTSvXeplDiilXuaDei/1eg5Ab08H9r3yE/xo01lEb/gnfOce8eEmD5/32lu3H8+9tA8na6/FvKxpiHPQPJ2Bv7hpCTb94AV8fPBGrL7pYiwL/jVe//nrSF5zE5alpCHSDSvWWgmx1KEIKAKKgC8QUJL1BYrjPMdwUm+RBO1Q6mXj8POkXsk5zcnJ8aHU693CO0s/xs+eelMCjebjr1fPR2hbBT47XI3Y5FSkJsciXIKehnJjS2UxiiSoqefy6UhMi0aYuYQQpOZNgyM6CnsPlaPuil4svuFLsnl3fXq0IqAIKALeIqAk6y2CY3g8pV4SKjd7VSRG9VoRvZR8GyUwiVG9lHpZwOHa664zKSjuRvWO4RKGnfrkjtewq7oEDaEn8a/fuwdPhfWguaIaczd+G3/zt9/EX8zPRWTIYJpta2qQNJtOrJiTI0FOUed8tp1yKlF5Gxra0NnluSVKzNn6Tis+DXvr9ENFQBFwEwElWTeBGsvdXEm9dSL1MviIUi8t1IrycvPlT6mX7dhYWvCOO+4w3WNIDJNtnDr8MVoaaxG/+Ev4lx8+jGvmtOGlbzyCx377OL4XlYN//7t7sWJ6wiBrtubkUXQ0NyK0s3tM/KbVUnGKP07CIyImG5x6vYqAIuCHCCjJjvNNcSX1skj9ySFSb5KkxDCql11kWF7Qn6ReX8AmdSskyMiBb333Xty49gKki3/160//Hf5wyzfx7i+24PA9V+GC/ARE24zZsMgwU3bR1fn5YyPYtr+r/Vy9f/ToUZO6E+WDmsiuzqHvKwKKwNRBQEl2jO71SFIvLVT2OLWk3mn5+Saqd7JIvb6CLQgLkRqbhIj+mhOOjHxckhiDfcH1aOmQilIMC7bVo0iduRjhUXFop4RuPuy7kp7evvjhzNQYRIR7/mddWFhoJPf4+HhfLVHnUQQUgSmMgOffRlMYNPvSR5J6SaYni4pQIbV6raheSr0rVqwwUm+ilBucjFKvHQNPn8dERiMkeCsOiV+5oWUeEuIljCk8BQsXhSPugEOqPQULv/aih2QqEdFBQcFwJGchMToSb35yCGdqGrAgLw6h6EZjRT062sKRk5WEKLF2PRks/8j7tXr1arerVHlyHj1GEVAEpg4CSrKjuNf2ACR7rd6SkhIj9TKil5G9/IxS73SxTin1shl4trRl810Bh1FctB/vuuiKW5H9qwPY9/FRlK//HHLiktDTVonPdrQhdNXVgl8qHL3NOHHwKBrD0jFzehriUubi6ytzcOS53ThcVI4187IQ33sab73wHlqarxAfbgESIm2m7yjWv3PnTuRJSciUlJRRHKW7KgKKgCLgGgElWSfYuJJ6WcCBxRtIpIzubZLKQI7ISFDqZc7pdRLVyy9pf4/qdbLkCXkrZdW1eHD+K/jBb17AaytnIOzyhajdsQlvdHTjS3evwYKcRHSffgNf/vIj2Np9Pd74xSNYvzgLlz70MBYU/hU2vfYm5qeFIe7Ua3ittR1X/eBWXLREesx6EAPGdKf3338fGzZsQGpq6oTgoSdVBBSBwENgSpOsK6m3tra2L6pXLFO71JuZlWVq9a5ctQp33HknprLU65t/Cqn4/HNPoOvHD+HJZ76N//pXzjof3/zhM/jCVcuRIhZpZ1gcMrPzkN+ViEgp9M8RmXcFnv5RPR783hP45j0/N+/d+tCP8NDtlyI7YfSdc/h38OHWrchIT0eulIxk1ScdioAioAj4AoEp00/Wknop5XLjF2tLSwusqF5KvafFOuVnLHRPy5RSL/2nKvX64k/Nf+col9Sop556CjfffDMWL16MEGkar0MRUAQUAV8gEPAky1xTbsXFxTh+/LjZTkpz7kbpsuKQAg75QqYk1NmzZxupV1M3fPFnNXnm6JHiE8899xyyxGe+du1axMbGTp6L1ytVBPwcAQZ7xsTEYCp/rwY8yT726KN4/fXXB3VVYWWkpCkc1evn/y7H9fLKxIqlr51N2pVgxxV6PdkUQICuFzYbWb9+/ZTNogh4kp0Cf8e6REVAEVAEFAE/RcCDOEw/XYleliKgCCgCioAi4GcIKMn62Q3Ry1EEFAFFQBEIHASUZAPnXupKFAFFQBFQBPwMASVZP7shejmKgCKgCCgCgYOAkmzg3EtdiSKgCCgCioCfIaAk62c3RC9HEVAEFAFFIHAQUJINnHupK1EEFAFFQBHwMwSUZP3shujlKAKKgCKgC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alt></p>
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<p>(i) The bus is represented by the black dot shown below. Draw a labelled sketch to represent the forces acting on the bus.<em><br></em></p>
<p><em><img src="data:image/png;base64,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" 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<p>(ii) State the value of the rate of change of momentum of the bus.</p>
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<div class="question_part_label">a.</div>
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<div class="column">The total output power of the engine of the bus is 70kW and the efficiency of the engine is 35%. Calculate the input power to the engine.</div>
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<div class="question_part_label">b.</div>
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<div class="column">The mass of the bus is 8.5×10<sup>3</sup> kg. Determine the rate of increase of gravitational potential energy of the bus.</div>
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<div class="question_part_label">c.</div>
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<div class="column">Using your answer to (c) and the data in (b), estimate the magnitude of the resistive forces acting on the bus.</div>
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<div class="question_part_label">d.</div>
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<p>The engine of the bus suddenly stops working.</p>
<p>(i) Determine the magnitude of the net force opposing the motion of the bus at the instant at which the engine stops.</p>
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<div class="column">(ii) Discuss, with reference to the air resistance, the change in the net force as the bus slows down.</div>
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<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
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<br><hr><br><div class="specification">
<p>This question is about forces.</p>
<p>A stone block is pulled at constant speed up an incline by a cable attached to an electric motor.</p>
<p><img 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" alt></p>
<p>The incline makes an angle of 12 ° with the horizontal. The weight of the block is 1.5×10<sup>4</sup>N and the tension <em>T</em> in the cable is 4.2×10<sup>3</sup>N.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram draw and label arrows that represent the forces acting on the block.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the magnitude of the friction force acting on the block.</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 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>Impulse and momentum</p>
<p>The diagram shows an arrangement used to test golf club heads.</p>
<p><img 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" alt></p>
<p> </p>
<p>The shaft of a club is pivoted and the centre of mass of the club head is raised by a height <em>h</em> before being released. On reaching the vertical position the club head strikes the ball.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Describe the energy changes that take place in the club head from the instant the club is released until the club head and the ball separate.</p>
<p>(ii) Calculate the maximum speed of the club head achievable when<em> h</em> = 0.85 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 shows the deformation of a golf ball and club head as they collide during a test.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Explain how increasing the deformation of the club head may be expected to increase the speed at which the ball leaves the club.</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>In a different experimental arrangement, the club head is in contact with the ball for a time of 220 μs. The club head has mass 0.17 kg and the ball has mass 0.045 kg. At the moment of contact the ball is at rest and the club head is moving with a speed of 38 ms<sup>–1</sup>. The ball moves off with an initial speed of 63 ms<sup>–1</sup>.</p>
<p><br>(i) Calculate the average force acting on the ball while the club head is in contact with the ball.</p>
<p>(ii) State the average force acting on the club head while it is in contact with the ball.</p>
<p>(iii) Calculate the speed of the club head at the instant that it loses contact with the ball.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about momentum. <strong>Part 2</strong> is about electric point charges.</p>
<p><strong>Part 1</strong> Momentum</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Electric point charges</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the law of conservation of linear momentum.</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 toy car crashes into a wall and rebounds at right angles to the wall, as shown in the plan view.</p>
<p><img 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" alt></p>
<p>The graph shows the variation with time of the force acting on the car due to the wall during the collision.</p>
<p><img 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" alt>The kinetic energy of the car is unchanged after the collision. The mass of the car is 0.80 kg.</p>
<p>(i) Determine the initial momentum of the car.</p>
<p>(ii) Estimate the average acceleration of the car before it rebounds.</p>
<p>(iii) On the axes, draw a graph to show how the momentum of the car varies during the impact. You are not required to give values on the y-axis.</p>
<h4><img 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" alt></h4>
<div class="marks">[9]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two identical toy cars, A and B are dropped from the same height onto a solid floor without rebounding. Car A is unprotected whilst car B is in a box with protective packaging around the toy. Explain why car B is less likely to be damaged when dropped.</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>Define <em>electric field strength</em> at a point in an electric field.</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>Six point charges of equal magnitude <em>Q</em> are held at the corners of a hexagon with the signs of the charges as shown. Each side of the hexagon has a length <em>a</em>.</p>
<p><img 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/uc8oeGIxwECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgQIKvKmA93IrAgQIECBAgAABAgQIECBAgAABAgQIECBAgEAuIIDwF4EAAQIECBAgQIAAAQIECBAgQIAAAQIECBAouIAAouCkbkiAAAECBAgQIECAAAECBAgQIECAAAECBAgIIPwdIECAAAECBAgQIECAAAECBAgQIECAAAECBAouIIAoOKkbEiBAgAABAgQIECBAgAABAgQIECBAgAABAgIIfwcIECBAgAABAgQIECBAgAABAgQIECBAgACBggsIIApO6oYECBAgQIAAAQIECBAgQIAAAQIECBAgQICAAMLfAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKDgAgKIgpO6IQECBAgQIECAAAECBAgQIECAAAECBAgQICCA8HeAAAECBAgQIECAAAECBAgQIECAAAECBAgQKLjAqc29Y+8zezb3VOcRIECAAAECBAgQIECAAAECBAgQIECAAAECZSSwfdfOFu/GNyBaTOYCAgQIECBAgAABAgQIECBAgAABAgQIECBA4GQCzf4GROONWpNyNF7rTwIECBAgQIAAAQIECBAgQIAAAQIECBAgQCAdgbZMR/INiHT6rFICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikI3BqOqWqlAABAgQIECBAgACB5goc2LkpVn37qfju578YtfX7D1/WuW9cPX5IfPgjn44rqs84/LqfCBAgQIAAAQIECBAgUGCBU/7QcDTnnr3P7Jmftn3Xzuac7hwCBAgQIECAAAECBDpC4MDO2HTvzJh+3+NRf8L1T4sPfmZO/P1dg+LMTic80ZsECBAgQIAAAQIECFSwQFuyAd+AqOC/OLZOgAABAgQIECBQZgIHtsfDNf8pJn7rpWZs7NX40QN/F5/9XefYMO/S6NaMK5xCgAABAgQIECBAgACBlgh4BkRLtJxLgAABAgQIECBAoGQFXovtX5geU5vChx4xsOaOWLHpuci+xXzwn23x9Lp7Y9I1faNzvo/9Uf/g8vjKziNGNJXs/hRGgAABAgQIECBAgEBqAr4BkVrH1EuAAAECBAgQIEDgWAK7N8aceU/FwSihR1y64Eux6MrecfR0pU7RrXpIjO773vj1d4fF0peys/8ltu38vxE9fQfiWKxeI0CAAAECBAgQIECg9QK+AdF6O1cSIECAAAECBAgQKBGBhm8/PPxQbMnTh85Rdc2tMecN4cMRpXY6LU4//eho4oh3/UiAAAECBAgQIECAAIGCCPgGREEY3YQAAQIECBAgQIBARwp0id4jV8ePRzajhuwh1V/4fHzjudcOnfze6NPz3zXjQqcQIECAAAECBAgQIECgZQICiJZ5OZsAAQIECBAgQIBACQvsjrqvfi2efuXf4pWn/imWPt6Mh1F36Rm9exx8IkQJb0xpBAgQIECAAAECBAgkKCCASLBpSiZAgAABAgQIECBwtMBrsat2ccycujhq61v4QOmz+0RP+cPRnH4jQIAAAQIECBAgQKAgAgKIgjC6CQECBAgQIECAAIGOEjgQe2vvjM9evzrqT1RC575x9fi/ij6dfn/EtyM6R48/7xfvPdF13iNAgAABAgQIECBAgEArBQQQrYRzGQECBAgQIECAAIGSENhbG3OmfuVw+FB1SYz+3MVx/seuigE9uxyjxJ/Hw08tOfT6v4uz+/xxeBz1MZi8RIAAAQIECBAgQIBAmwUEEG0mdAMCBAgQIECAAAECHSewf+u34+uNY5eqhsWKb94VA7qdIFLY/VQ8unnvoYL/KM7q1a3jircyAQIECBAgQIAAAQJlLfCmst6dzREgQIAAAQIECBAoa4H98bPtO+O1Q3vscuGl8RcnCh/i5dg09x+jtvExEV0+FOf/f28rayGbI0CAAAECBAgQIECg4wQEEB1nb2UCBAgQIECAAAECBRU4sG1b/PTA8W65O+qWT4vpD754+AQPoD5s4ScCBAgQIECAAAECBAouIIAoOKkbEiBAgAABAgQIECiWQOd475+dFz0OLbd/68IYP2V5bNrZ+J2IhjcO7IxNX1gYN396QFw187HDz4poeKvLOX3iT4pVqnUIECBAgAABAgQIEKg4Ac+AqLiW2zABAgQIECBAgEA5CXTqe1n8Tb/7Y/bWVxu29Wr86MFZMaLhHwcBAgQIECBAgAABAgQ6WsA3IDq6A9YnQIAAAQIECBAg0BaBTufEiC8sjdF9TzvJXXrEwBuWxaPLr4kuh848sHtP/J+TXOVtAgQIECBAgAABAgQItFbANyBaK+c6AgQIECBAgAABAqUi0O2jMWndI3H+yjXxwLIvRm1941OmIzr3vSZu/NQH4+yPXRUDenaJA3Vb450Ndb/U8M/+n7yQPzPijE6lshF1ECBAgAABAgQIECBQTgKn/KHhaM6Gep/ZMz9t+66dzTndOQQIECBAgAABAgQIECBAgAABAgQIECBAgEDiAm3JBoxgSrz5yidAgAABAgQIECBAgAABAgQIECBAgAABAqUoIIAoxa6oiQABAgQIECBAgAABAgQIECBAgAABAgQIJC4ggEi8gconQIAAAQIECFSCwMYNG+PqK6+M7E8HgfYWyP6u3XHb7VFfX9/eS7k/AQIECBAgQIAAgbIWEECUdXttjgABAgQIECCQtkAWOFx6ySUxbuzY2Lt3b5x99tlpb0j1SQj85Sc+EatWrow/v+CjgogkOqZIAgQIECBAgACBUhUQQJRqZ9RFgAABAgQIEKhggSODh4xh4aJF8djjj0efs/pUsIqtF0tgxMiR8Z2nvhfXDR8uiCgWunUIECBAgAABAgTKUuCUPzQczdlZW5503Zz7O4cAAQIECBAgQIBAFjzce8+C2LF9R/Tq3StuvGl8DBo8CAyBDhPIxjAtXbwkDyKyIrJQYnTNmKiqquqwmixMgAABAgQIECBAoJgCbckGBBDF7JS1CBAgQIAAAQIEjikgeDgmixdLSEAQUULNUAoBAgQIECBAgEBRBQQQReW2GAECBAgQIECAQKEEBA+FknSfYgkIIoolbR0CBAgQIECAAIFSERBAlEon1EGAAAECBAgQINAsAcFDs5icVMICgogSbo7SCBAgQIAAAQIECioggCgop5sRIECAAAECBAi0l4Dgob1k3bejBAQRHSVvXQIECBAgQIAAgWIJCCCKJW0dAgQIECBAgACBVgkIHlrF5qKEBAQRCTVLqQQIECBAgAABAi0SEEC0iMvJBAgQIECAAAECxRRo/B+rxVzTWgRKReBLq1ZF/wv7l0o56iBAgAABAgQIECDQYoHG/0+3fdfOFl/7phZf4QICBAgQIECAAAECBAgQOKlA99O7n/QcJxAgQIAAAQIECBAoZ4FTy3lz9kaAAAECBAgQINDxAtmnZIyn6fg+qKB9BY4cM5YFD2NqamLosGHRtWvX9l3Y3QkQIECAAAECBAiUsMApf2g4mlNfW75m0Zz7O4cAAQIECBAgQKD8BQQR5d/jStuh4KHSOm6/BAgQIECAAIHKE2hLNiCAqLy/L3ZMgAABAgQIEOhwAUFEh7dAAW0UEDy0EdDlBAgQIECAAAECyQgIIJJplUIJECBAgAABAgSOFBBEHKnh5xQEBA8pdEmNBAgQIECAAAEChRQQQBRS070IECBAgAABAgSKLiCIKDq5BVsoIHhoIZjTCRAgQIAAAQIEykZAAFE2rbQRAgQIECBAgEBlCwgiKrv/pbh7wUMpdkVNBAgQIECAAAECxRQQQBRT21oECBAgQIAAAQLtLiCIaHdiC5xEQPBwEiBvEyBAgAABAgQIVIyAAKJiWm2jBAgQIECAAIHKEnh9EPGlVaui/4X9KwvBbosuMOL6z8Wm2trofnr3GFNTE0OHDYuuXbsWvQ4LEiBAgAABAgQIECgFgbYEEKeWwgbUQIAAAQIECBAgQOBYAlVVVXHbHbfH6Jox8cD9D0TX0/xL4GM5ea2wAv/hAx+ICz56geChsKzuRoAAAQIECBAgUIECp/yh4WjOvtuScjTn/s4hQIAAAQIECBAgQIAAAQIECBAgQIAAAQIESkugLdnAm0prK6ohQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEykFAAFEOXbQHAgQIECBAgAABAgQIECBAgAABAgQIECBQYgICiBJriHIIECBAgAABAgQIECBAgAABAgQIECBAgEA5CAggyqGL9kCAAAECBAgQIECAAAECBAgQIECAAAECBEpMQABRYg1RDgECBAgQIECAAAECBAgQIECAAAECBAgQKAcBAUQ5dNEeCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAiQkIIEqsIcohQIAAAQIECBAgQIAAAQIECBAgQIAAAQLlICCAKIcu2gMBAgQIECBAgAABAgQIECBAgAABAgQIECgxAQFEiTVEOQQIECBAgAABAgQIECBAgAABAgQIECBAoBwEBBDl0EV7IECAAAECBAgQIECAAAECBAgQIECAAAECJSYggCixhiiHAAECBAgQIECAAAECBAgQIECAAAECBAiUg4AAohy6aA8ECBAgQIAAAQIECBAgQIAAAQIECBAgQKDEBAQQJdYQ5RAgQIAAAQIECBAgQIAAAQIECBAgQIAAgXIQOLUcNmEPBAgQIECAAAECZSBwYGdsWvnt2P7yf48vLn486o/cUue+cfX4v4o+7/qzuOrK6uh25Ht+JkCAAAECBAgQIECAAIGSFDjlDw1HcyrrfWbP/LTtu3Y253TnECBAgAABAgQIEGiewN66eHjpoljw+tDheFdXXRJjZ02L/zKwZ3Q63jleJ1DOAsK6cu6uvREgQIAAAQIESk6gLdmAAKLk2qkgAgQIECBAgEClCLwWux6bG3/3t1+KH+1v6Z5Piw9+Zk78/V2D4kwpREvxnJ+qgLAu1c6pmwABAgQIECCQtEBbAgjPgEi69YonQIAAAQIECLSnwP7YtfyayP7HZvbPByZtihbnBMctryF8+OrE+OzI14UPDd9uGD3trlix6bnIvnl78J9t8fS6e2NKzSVR1XS/V+NHD/xdfHbKY7G36TU/EChXgSysuyOGnH9FTGzuN4UyivrHY9H1l8WVUzfGrgPlamNfBAgQIECAAAECpSwggCjl7qiNAAECBAgQIFCWAofCh/HfOPych+wZD/MejqefWhGTRv51DOjZ5Yidd4pu1UNixOQVsXnTohja97RD7+2P+gdnxpzal484148Eyk1AWFduHbUfAgQIECBAgEAlCQggKqnb9kqAAAECBAgQKAGBA9u/HBNuPiJ8qLo0pjz4hZhzzckfLt2p56CYuWpBXF3V+dBOXoyHpt4bm/b6eHcJtFYJBRcQ1hWc1A0JECBAgAABAgSKKiCAKCq3xQgQIECAAAECFS5w4MfxxYkLo65xllPnC2LK/f8YI6rPaD5Mt4Fx86yrDo9jqn80Hnj8l82/3pkEEhEQ1iXSKGUSIECAAAECBAgcV0AAcVwabxAgQIAAAQIECBRW4EDsfXJVfHHrq4due1pUT7ot/nPvI8ctNWfFhpFMF10Zl/Vo/BbE3tiy8anY3ZxLnUMgFQFhXSqdUicBAgQIECBAgMAJBAQQJ8DxFgECBAgQIECAQCEFfhm19z96+LkPPT4b064/Jzq1ZolO58aln+rZdOX+n7wQPzWFqcnDD6kLCOtS76D6CRAgQIAAAQIEDgoIIPxNIECAAAECBAgQKI7A7qfi0c17D63VLQbe+DdR3ar0IbvFW+Lf93lfNH4HIn71Suz9fXG2YRUC7S8grGt/YysQIECAAAECBAgUQ+DUYixiDQIECBAgQIAAgVIVeD5WfPqymP3sayct8LUHr49zHjzOaV2uiRU/mhsDmhKB1593IHY/8c3Y0vTsh/Pjkxe/+/UnteD3TvH27t3zb0803rIFFzuVQGkLtEtY93zk/11pDOtaHf6VNp3qCBAgQIAAAQIESkvANyBKqx+qIUCAAAECBAiUqcBv46fbXjz4L0CzHZ57fvQ7w78BLdNm21abBNovrGtTWS4mQIAAAQIECBAg0AoBAUQr0FxCgAABAgQIECDQUoG9sfP5/910UZdz+sSfNP3Wmh/2x8+274yTf2+jNfd2DYGOFBDWdaS+tQkQIECAAAECBAorYARTYT3djQABAgQIECCQmMDZMeJrz8WIY1a9P3Yt/2xcMvMH+btdrvlCPDNvwOHnLhzzmuO9uC9eebkxLugSZ531J628T+P9/2/sfOFfGn+JOLtP9Dzu+KfDp/mJQOkLCOtKv0cqJECAAAECBAgQaK6Ab0A0V8p5BAgQIECAAAECpSNwYHv84Lu7D9XTOXr8eb94b+lUpxICbRAQ1rUBz6UECBAgQIAAAQIlJuAbECXWEOUQIECAAAECBMpToGuc/q4uDVvLvgVxIPa88mrDf0b+EOmW7/dA7H3yq/HIS42Pn+4Zgz9+bivv1fLVXVGBAvs3xc0fvD4eavwST5sIquLqLzwacwZ2a9Ndmn2xsK7ZVE4kQIAAAQIECBAovIBvQBTe1B0JECBAgAABAgTeINAtep79R4de3R+/fP7F2PuGc5r5woEX4iv3fSPqG0/vMTAu7fu2xt/8SSBxgcawLtvG4bCudZsS1rXOzVUECBAgQIAAAQKFEhBAFErSfQgQIECAAAECBE4g8Jb4933e1/Tch/2bvxlP7s6+A3Hs48D2L8aYUXPj4brGMUuN52X/QnVVfHHrq4de6BYDb/ybqO7U+L4/CaQuIKxLvYPqJ0CAAAECBAgQOCxgBNNhCz8RIECAAAECBAi0m0CnOOPiT0T/zo9FbTY5af8TsWBubQycd2m8cRDNb+LZr6yJx771fMM/34hvLfhSLLqydz5i6cDOr8bNU7/S9O2Hzv3+Nm4e8p52q9qNCeQCnQfEnB/vjDlF4WgM656P/L8qeVh3WVxxxrFTtiysGzv3f8fHa0bEFdVnHFGhsO4IDD8SIECAAAECBAh0kIBvQHQQvGUJECBAgAABAhUncEb/+Mzl7zu07f1R/+DMmFP78hsZ9n4n1q7beej1l+Kx8ZfHlXO/F7t3Phhjh02Px+oPPfuh8wUxYf7fRO9j/3vZN97XKwSSEGgM6w4VeyisO/bIssawbklMvHxIjPnq9vzZKtmVwrokmq1IAgQIECBAgEDZC5zyh4ajObvsfWbP/LTtuxr/z2BzrnIOAQIECBAgQIAAgcMCB7Yvj2s/MSvqGp8fHT1i4LS/j/kjzzvimxANn9yu+3qsXf3FuPfBZ/NPgR++w6GfOlfH6DXLY9J5R37i+w1neYFAogIvx6ZJV8eIB188VP/7Gh5c/VDDg6vfdfR+9j4WN39ibDzUGMrFafHBmqXx+Wv+Jaa9Lqyb8s0vxoje2YPgHQQIECBAgAABAgRaJtCWbEAA0TJrZxMgQIAAAQIECLRJ4LXY9dWJ8dnxRzxEuuF+nfteEzcOHxrXXll9OIg4sDM23Tszpt/3eNPIpXxp4UObOuDiNASEdWn0SZUECBAgQIAAgUoQEEBUQpftkQABAgQIECBQNgLHDiGat72qhk+CP9rwSfA3Pjmiedc7i0AqAsf+74mwLpX+qZMAAQIECBAgUD4CAojy6aWdECBAgAABAgQqRuDAzsfiH2bcGYsef6lle/YNiJZ5OTthgWOHEM3bkLCueU7OIkCAAAECBAgQOJlAWwIID6E+ma73CRAgQIAAAQIE2kWgU89L46bPb4ntzzwc86dNjUnX9I3OR63U8HyImptjyoKH4+ldz8W3pl1w8P39dbH0ygExZNKaqNt74Kgr/EKgvAS6xJlXLozNm5bF2Et6tHBr9fHQ6Otj3tO7W3id0wkQIECAAAECBAgUTsAzIApn6U4ECBAgQIAAAQLtKvD6B/OeHaPXrYtJ1W9r11XdnEDJCOyti4cf+h/x8gvfeN0D2rOw7q/jI30+HFddeW7sXv6fY/DMpw49wL3hwdTXTI3bpl4d1d06lcxWFEKAAAECBAgQIJCOQFu+ASGASKfPKiVAgAABAgQIEDiwPR6u+U8x8VsvRedLFsR3Pn9FnEGFAIHXCQjrXgfiVwIECBAgQIAAgTYItCWAMIKpDfAuJUCAAAECBAgQKLJAp95xxbL18WDNFTHqhk8IH4rMb7lUBN4VA2Z/PuZ//ODYps6XjI7P+aZQKs1TJwECBAgQIECgrAR8A6Ks2mkzBAgQIECAAAECBAgQaBTYHU/PnRVPfvyuuEkA0YjiTwIECBAgQIAAgRYKtOUbEKe2cC2nEyBAgAABAgQIECBAgEASAmfEeZMXxHlJ1KpIAgQIECBAgACBchQwgqkcu2pPBAgQIECAAAECBAgQIECAAAECBAgQIECggwUEEB3cAMsTIECAAAECBAgQIECAAAECBAgQIECAAIFyFDCCqRy7ak8ECBAgQIAAgQ4UqK+vjyefeDK+973vxq9e/lVTJe9+9x/Fhz9yQQz+q8HRtWvXptf9QKCcBDZu2Bg/+P73Y/v27fH73/8+39qpp54af9H/L+LiiwdEn7P6lNN27YUAAQIECBAgQIDACQU8hPqEPN4kQIAAAQIECBBorsC+ffti2dJlsWjhwvySbt1Pj27duzVdXv+LX8Rr//qv8fa3vz3GjrshRowc2fSeHwikLpAFD/Pnzo2f/vSn+VbO7NWraUuvvfZa1P/85/nvF118ccyaMzuqqqqa3vcDAQIECBAgQIAAgVIWaMtDqAUQpdxZtREgQIAAAQIEEhHY9sK2GDViRLz44otxzrn/IT7y0f8YZ7zznW+o/uc//1k89d3vxK4dO+JPP/ShWPVPX/ZtiDcoeSE1gVtvuSXu//I/NQRup8ef9+8f7z/n3Dds4dVXX40fP/e/YssTm+Lt73hHzJw1KwYNHvSG87xAgAABAgQIECBAoNQEBBCl1hH1ECBAgAABAgQqSCAbuTToE5+Mf/vtb+OTf/WpOLPn4U9+H4/h2R8+E9/+r9+MD/btG//0wP1CiONBeb3kBRrDhz+t7hf9L7oo3vzmt5yw5t2/+lU8su7h2LvnlfjSqlXR/8L+JzzfmwQIECBAgAABAgQ6WqAtAcSbOrp46xMgQIAAAQIECKQtMPXmKfHrvXvjmmGfbVb4kO22759+KAZ/+rL40bPPxvRp09IGUH3FCqxdszb/5kMWPlxy6cdPGj5kUNk3g/56+PDo8ta3xn8ZNy6y0WUOAgQIECBAgAABAuUqIIAo187aFwECBAgQIECgCALZ3Psnn3gi+jc8XPdYI5dOVEI2pubDF3w0vv7I16Kuru5Ep3qPQMkJZMHB3NkNz3J4z3vy8KElBWbfkhhy5VXx61//OhbMv7sllzqXAAECBAgQIECAQFICAoik2qVYAgQIECBAgEBpCaxYvjyfe3/+hz/SqsI+fMEF8daGT4Kv/NKXWnW9iwh0lMCGb2zIA4SLB17SqhLe854/ieybE6tWrvQtiFYJuogAAQIECBAgQCAFAQFECl1SIwECBAgQIECgBAWyZz/88Jln4uz3v7/V1WWfBD+74ZsQ2bcgHARSEnh048Y8fMuChNYevfv0yS+t2+obQK01dB0BAgQIECBAgEBpCwggSrs/qiNAgAABAgQIlKzAL37xi7y2Xof+JWprC+3x3vfml257YVtrb+E6AkUX2LJ5c7zvzDPbtG7jA9t/8pMft+k+LiZAgAABAgQIECBQqgICiFLtjLoIECBAgAABAiUu8PxPns8rfEvDtxjacpz29rfnl7+679W23Ma1BIou8PZ3vKPoa1qQAAECBAgQIECAQEoCp6ZUrFoJECBAgAABAgRKR+C0004raDFXXX5FQe/nZgQIECBAgAABAgQIECDQsQICiI71tzoBAgQIECBAIFmBP37PH+e1//bfftumPfzq5Zfz60eOGhXvfNc723QvFxMolsDf33Nv/J9f/7pNy/1bG/+706bFXUyAAAECBAgQIECgCAICiCIgW4IAAQIECBAgUI4CZ511Vr6tHdu2RVsexPvST38a2Sibm6dOKUcmeypTgX/+53+OLZv/W5t29/Of/Sy//v3vP6dN93ExAQIECBAgQIAAgVIV8AyIUu2MuggQIECAAAECJS7QtWvX6H/hhfHsD5+J1n6S+9VXX40fP/e/YsiQISW+W+UROFrg4x//y9i755XYtXPH0W+04LetT/+PPHyr7lfdgqucSoAAAQIECBAgQCAdAQFEOr1SKQECBAgQIECg5AQ+N2JEvPav/xo/fOaZVtW25YlN+XWfHnJZq653EYGOErjwogvjHQ3f3Kn99rdbFcBlwcWuHTti7A1jIwvzHAQIECBAgAABAgTKUUAAUY5dtScCBAgQIECAQJEE+l/YPy66+OLIgoSf/Pi5Fq2anZ99+2HsuHFRXe0T4C3Cc3KHC2ShwT8sXJh/C2LLk0+2qJ7dv/pVbPzG1+Md3brF0GHDWnStkwkQIECAAAECBAikJCCASKlbaiVAgAABAgQIlKDAP963MD7Yt29s+Noj+Tim5pT4g+//9/z8DzUED6NGj2rOJc4hUHICWQB33fDh8cO6rbHx619r1jchfv7zn8Xa1ffHmzt3jgcfesi3H0quqwoiQIAAAQIECBAopMApf2g4mnPD3mf2zE/bvmtnc053DgECBAgQIECAQAUJ7Nu3L6656uqGb0H8OM7s1Sv6nfdncWbPXm8QyL718J0tW/JPjWffnMjCC+Nn3sDkhcQE7llwTyxq+DZEl7e+Nf7iwovinHPPjTe/+S1H7SL71sMzDUFFFla89W1vi/WPPBJ9zupz1Dl+IUCAAAECBAgQIFCKAm3JBgQQpdhRNREgQIAAAQIEEhQYcf3n4qnvfS9OPfXUyB4unR1ZGNF4ZPPusyObmz95ypS4dui1jW/5k0DyAnV1dTHhxpti165d+V6q3vOe6NKlS/5z/S9+kT8rJfvlne98Z/zuwO/iyYYgTviW8/gPAgQIECBAgACBEhdoSwBxaonvTXkECBAgQIAAAQIJCGzcsDE21dbGlGlT85n2m5/cHD/4/vdj586d8bvf/a7h0+BvjsGDB8f5558f2dgaB4FyE8ieY/J4w7NQtr2wLZ5o+POp7z0Vr732WrzpTW+KD/1p3/jwRy5oeF7KRfGLhjDiqsuviGVLl8VN428qNwb7IUCAAAECBAgQIHCUgG9AHMXhFwIECBAgQIAAgZYKZOOXLr/ssvyydQ1jZXyqu6WCzq80gfE33hjr162P//rYY8YwVVrz7ZcAAQIECBAgkKBAW74B4SHUCTZcyQQIECBAgACBUhJYs3p17Ni+I2697XbhQyk1Ri0lKzBx8uS8tjmzZ5dsjQojQIAAAQIECBAgUAgBAUQhFN2DAAECBAgQIFChAvX19bFk8eIYMHCg0UoV+nfAtlsuUFVVlY8ry8aWbdm8peU3cAUBAgQIECBAgACBRAQEEIk0SpkECBAgQIAAgVIUWLp4Sex5ZU/c3PBQaQcBAs0XGDpsWPTq3SvuvOP25l/kTAIECBAgQIAAAQKJCQggEmuYcgkQIECAAAECpSJQV1cXq1aujOuGDzfHvlSaoo5kBLJnpdx40/h8fNmK5cuTqVuhBAgQIECAAAECBFoiIIBoiZZzCRAgQIAAAQIEmgRmzZgR3U/vHuMnTmh6zQ8ECDRfYNDgQfn4smyMWfYwdwcBAgQIECBAgACBchMQQJRbR+2HAAECBAgQIFAEgY0bNsbWp7fGmJoaD54ugrclyldg7Lgb8jFmC+bfXb6btDMCBAgQIECAAIGKFRBAVGzrbZwAAQIECBAg0DqB7JPat94yPZ9fP2LkyNbdxFUECOQC1dXV+RizbJxZNtbMQYAAAQIECBAgQKCcBAQQ5dRNeyFAgAABAgQIFEFgzerV+Se2593tE9tF4LZEBQiMrhmTjzNbtPC+CtitLRIgQIAAAQIECFSSgACikrptrwQIECBAgACBNgrU19fH7Jmz8rn12Se3HQQItF2gqqoqH2e2qbY2svFmDgIECBAgQIAAAQLlIiCAKJdO2gcBAgQIECBAoAgC8+fOzVeZMWtmEVazBIHKEcjGmfXq3SvuvWeBB1JXTtvtlAABAgQIECBQ9gICiLJvsQ0SIECAAAECBAojkM2nX79ufYwdNy6yT2w7CBAorMCtt90eO7bviGzMmYMAAQIECBAgQIBAOQgIIMqhi/ZAgAABAgQIECiCwKQJE/I59aNGjyrCapYgUHkC/S/sn483W7J4cWTjzhwECBAgQIAAAQIEUhcQQKTeQfUTIECAAAECBIogsHbN2vyT2RMnTY6uXbsWcMXXYvvyYXHOmT2jd/7PX8a8ut8U8P5uRSAtgZunTMkf8t447iyt6lVLgAABAgQIECBA4GgBAcTRHn4jQIAAAQIECBB4ncC+ffti/ry50e+8fnHt0Gtf924bfz3wP+OrK5+O/U232RkbvvVcHGj63Q8EKkugz1l98jFn2bizbOyZgwABAgQIECBAgEDKAgKIlLundgIECBAgQIBAEQSWLV2WfyJ76vTpBV/twLPfjg0vHY4foiGKeGnF0nhktwii4NhumIxANuas++ndY9aMGcnUrFACBAgQIECAAAECxxIQQBxLxWsECBAgQIAAAQK5wLYXtsWihQtjyOVDorq6usAqP49H7lsTL+V3PTsGXvK+g/ff/4N49IlfFngttyOQjkA25iwbd7b16a2xccPGdApXKQECBAgQIECAAIHXCQggXgfiVwIECBAgQIAAgcMCc2bPzn+ZOHny4RcL9dPup+LRzXsP3q3HwBjzt5+MHvlve6P23i9HnS9BFErafRIUyMad9erdK269ZXpkY9AcBAgQIECAAAECBFIUEECk2DU1EyBAgAABAgSKILBl85bYVFsbU6ZNjaqqqgKv2PDw6Ycfii359KXO0eNTH4sPfehjMbhH54PrvFQbjz3rYdQFRne7xATm3X13Pv4sG4PmIECAAAECBAgQIJCigAAixa6pmQABAgQIECBQBIE777g9/wT20GHDCr/aUQ+f7hmDP35udOr0gbhy+HlxMIJ4Pr5w3zdjd+FXdkcCyQhkY88GDByYj0Grr69Ppm6FEiBAgAABAgQIEGgUEEA0SviTAAECBAgQIECgSWDF8uWxY/uOuPGm8ZHNoy/0cdTDpxvGL13a920NS3SJ3ldcHf0PfQli/+aHYt321wq9tPsRSEpgxqyZeb3Tp05Lqm7FEiBAgAABAgQIEMgEBBD+HhAgQIAAAQIECBwlkM2bX7J4cf7J60GDBx31XmF+eTk2r3700MOnD45f6tvp0J3PuCA+eWG3g7/sfzq+/JX/GR4FURh1d0lTIBt/lo1By8ah1dXVpbkJVRMgQIAAAQIECFSsgACiYltv4wQIECBAgACBYwssmH9w7vzYcTcc+4S2vrp7Szyw7sVDdzk0fqnpnu+Oiwadf2gM0/54ad1XY/NeEUQTjx8qUiAbg9b99O4xacKEity/TRMgQIAAAQIECKQrIIBIt3cqJ0CAAAECBAgUXCD7hPWqlSvjuuHDI5s/X/jjQOx+4puHHj4d0fmS0fG56mz8UuPRKc4YMjqub3wYdf2j8cDjv2x8058EKlIgG4N2510z8rFoa9esrUgDmyZAgAABAgQIEEhTQACRZt9UTYAAAQIECBBoF4FFC+/LP2k9umZMu9w/DjwTn7/3idif371b9B90QZzx+pU6nRuXfqrnoVf3xpb7N8R2X4J4vZLfK0wgG4fW77x+MX/e3MjGpDkIECBAgAABAgQIpCAggEihS2okQIAAAQIECBRBYOOGjfmc+TE1NZHNnW+P46iHT3c+Pz558buPsczbou9VV0V148Oot34lvvrsb45xnpcIVJbA1OnTY88reyIbk+YgQIAAAQIECBAgkIKAACKFLqmRAAECBAgQINDOAtknqu+9Z0H06t0rRowc2U6r/Sae/Vbt4YdPjxgdl53R+PTpo5fs1HtwfKbxYdSxMx5Z/Z3Ye/QpfiNQcQLZWLQhlw/Jx6Rte2Fbxe3fhgkQIECAAAECBNITODW9klVMgAABAgQIECBQaIE1q1fn8+W/tGpVoW99+H67vxn//4rnD/3e8IDpxVfF2YsPv338n/ZH/bqHonbywLjiOIHF8a/1DoHyEpg4eXI8+eSTMWf27Fjxhc+X1+bshgABAgQIECBAoOwEfAOi7FpqQwQIECBAgACBlgnU19fHksWLY8DAgdH/wv4tu7jZZx/98OlmX9Z44v6n4oGHXwiPgmgE8WelCmTj0bIxaZtqa2PL5i2VymDfBAgQIECAAAECiQgIIBJplDIJECBAgAABAu0lMH/u3Hyu/M1TprTXEhEHXoh19z916OHTrVnm1ahb+Ug8K4FoDZ5rykxg6LBh+bi0O++4vcx2ZjsECBAgQIAAAQLlJiCAKLeO2g8BAgQIECBAoAUCdXV1sX7d+rhu+PDoc1afFlzZslMPPPtIfHnrqwcv6nxpzH96W2zftfOk/zy/bkz0aFzqpUdj7ZMvN/7mTwIVK9C1a9e48abx+di0FcuXV6yDjRMgQIAAAQIECJS+gACi9HukQgIECBAgQIBAuwnMmjEjup/ePcZPnNBua0Qc+fDpiM4XfiIuauazHDr1/VgM7tH5UG0vxvr7t8TudqzUrQmkIjBo8KB8bFo2Pi0bo+YgQIAAAQIECBAgUIoCAohS7IqaCBAgQIAAAQJFENi4YWNsfXprTLGbLPQAAEAASURBVJw0ObJPVLfbsfc7sXbdzkO37xb9B10QZzR3sU4fis/deHE0RhD7H18an6/7TXOvdh6BshYYO+6GfHza0sVLynqfNkeAAAECBAgQIJCugAAi3d6pnAABAgQIECDQaoF9+/bFrbdMz+fIXzv02lbf5+QXNjx8+vGHYn39/oOndj4/Pnnxu09+WdMZneKMiz8R/RsTiNgZG771nIdRN/n4oZIFqqur8/Fpq1aujGycmoMAAQIECBAgQIBAqQkIIEqtI+ohQIAAAQIECBRBYM3q1fknp+fdfXc7r/bLeHLjDw49fLpz9BgxOi5r5vilpsLO6B+fufx9h37dHy+tWBqP7PY06iYfP1S0QDY+LRujtmjhfRXtYPMECBAgQIAAAQKlKSCAKM2+qIoAAQIECBAg0G4C2bz42TNn5fPjs09Qt+dxoO7L8Q+P7z20RM8Y/PFzo1OLF3xXXDjsk4cfRr3/B/HoE79s8V1cQKAcBbLxaWNqamJTbW1kY9UcBAgQIECAAAECBEpJQABRSt1QCwECBAgQIECgCALTp07LV5kxa2Y7r3b0w6ejx8C4tO/bWrXm0Q+j3hu193456nwJolWWLio/gREjR+bj1LKxatl4NQcBAgQIECBAgACBUhEQQJRKJ9RBgAABAgQIECiCQDYnPvuk9Nhx46Kqqqp9Vzzq4dMN45c+9bHo2/KvPxyssdMH4srh5zU9jDpeqo3HnvUw6vZtoLunJHDrbbfnY9Wy8WoOAgQIECBAgAABAqUicMofGo7mFNP7zJ75adt37WzO6c4hQIAAAQIECBAoQYFLL7kk9uzZE09s3hzZ6BYHAQLlIzDi+s/lAeN3nvpe+weM5cNmJwQIECBAgAABAicRaEs24BsQJ8H1NgECBAgQIECgXATWrlkbO7bviDvvmiF8KJem2geBIwQax6rNnzv3iFf9SIAAAQIECBAgQKDjBAQQHWdvZQIECBAgQIBA0QSyufDz582Nfuf1i0GDBxVtXQsRIFA8gWysWjZebf269ZGNW3MQIECAAAECBAgQ6GgBAURHd8D6BAgQIECAAIEiCCyYf3c+H37q9OlFWM0SBAh0lMCo0aOi++ndY9aMGR1VgnUJECBAgAABAgQINAkIIJoo/ECAAAECBAgQKE+BbS9si1UrV8aQy4dEdXV1eW7SrggQyAWyZ7tMnDQ5tj69NbKxaw4CBAgQIECAAAECHSkggOhIfWsTIECAAAECBIogMGf27PwT0RMnTy7CapYgQKCjBa4dem306t0rH7uWjV9zECBAgAABAgQIEOgoAQFER8lblwABAgQIECBQBIEtm7fEptraGFNTE9l8eAcBApUhMO/ug2PXli1dVhkbtksCBAgQIECAAIGSFBBAlGRbFEWAAAECBAgQKIzAnXfcnn8SeuiwYYW5obsQIJCEQDZuLRu7tmjhwqivr0+iZkUSIECAAAECBAiUn4AAovx6akcECBAgQIAAgVxgxfLlsWP7jrjxpvGRzYV3ECBQWQKNY9emT51WWRu3WwIECBAgQIAAgZIREECUTCsUQoAAAQIECBAonED2ieclixfHgIEDY9DgQYW7sTsRIJCMQDZ2bcq0qfkYtrq6umTqVigBAgQIECBAgED5CAggyqeXdkKAAAECBAgQaBJYunhJ7HllT4wdd0PTa34gQKDyBLLxa91P7x6TJkyovM3bMQECBAgQIECAQIcLCCA6vAUKIECAAAECBAgUViD7pPOqlSvjuuHDI5sD7yBAoHIFsvFrd941Ix/Hlo1lcxAgQIAAAQIECBAopoAAopja1iJAgAABAgQIFEFg0cL78k88j5/oE89F4LYEgZIXyMaw9TuvXz6Wbd++fSVfrwIJECBAgAABAgTKR0AAUT69tBMCBAgQIECAQGzcsDGf9z6mpsaDp/19IECgSWDq9On5WLYF8+9ues0PBAgQIECAAAECBNpbQADR3sLuT4AAAQIECBAokkD2yeZ771kQvXr3ihEjRxZpVcsQIJCCQDaOLRvLlo1n2/bCthRKViMBAgQIECBAgEAZCAggyqCJtkCAAAECBAgQyATWrF6dz3m/9bbbgRAgQOANAqNrxuTj2ebMnv2G97xAgAABAgQIECBAoD0EBBDtoeqeBAgQIECAAIEiC9TX18fsmbNiwMCB0f/C/kVe3XIECKQgUFVVFdl4tk21tbFl85YUSlYjAQIECBAgQIBA4gICiMQbqHwCBAgQIECAQCYwf+7cHOLmKVOAECBA4LgCQ4cNy8e03XnH7eGB1Mdl8gYBAgQIECBAgECBBAQQBYJ0GwIECBAgQIBARwnU1dXF+nXrY+y4cdHnrD4dVYZ1CRBIQKBr165x403j83Ft2dg2BwECBAgQIECAAIH2FBBAtKeuexMgQIAAAQIEiiAwa8aMfK77qNGjirCaJQgQSF1g0OBB+bi2JYsXRza+zUGAAAECBAgQIECgvQQEEO0l674ECBAgQIAAgSIIbNywMbY+vTUmTpoc2SebHQQIEGiOQDaubc8re2Lp4iXNOd05BAgQIECAAAECBFolIIBoFZuLCBAgQIAAAQIdL5DNb7/1lun5PPdrh17b8QWpgACBZASycW3XDR8eq1aujGyMm4MAAQIECBAgQIBAewgIINpD1T0JECBAgAABAkUQWLZ0Wf4J5nl3312E1SxBgEC5CYyfOCEf35aNcXMQIECAAAECBAgQaA8BAUR7qLonAQIECBAgQKCdBbK57YsWLsznuFdXV7fzam5PgEA5CmRj28bU1ORj3LJxbg4CBAgQIECAAAEChRYQQBRa1P0IECBAgAABAkUQmD51Wr7KjFkzi7CaJQgQKFeBESNH5mPcsnFu2Vg3BwECBAgQIECAAIFCCgggCqnpXgQIECBAgACBIghk89o31dbGlGlTo6qqqggrWoIAgXIWyMa4ZQ+kXrN6dTlv094IECBAgAABAgQ6QEAA0QHoliRAgAABAgQItEVg0oSDc9uHDhvWltu4lgABArlANsZtwMCBMXvmrMjGuzkIECBAgAABAgQIFEpAAFEoSfchQIAAAQIECBRBYMXy5bFj+464864Zkc1vdxAgQKAQAo3j3ObPnVuI27kHAQIECBAgQIAAgVxAAOEvAgECBAgQIEAgEYFsPvuSxYuj33n9YtDgQYlUrUwCBFIQyMa5jR03LtavWx/ZmDcHAQIECBAgQIAAgUIICCAKoegeBAgQIECAAIEiCCyYf3BO+9Tp04uwmiUIEKg0gVGjR0X307tHNubNQYAAAQIECBAgQKAQAgKIQii6BwECBAgQIECgnQW2vbAtVq1cGdcNHx7ZvHYHAQIECi2QjXWbOGlyPuZt7Zq1hb69+xEgQIAAAQIECFSggACiAptuywQIECBAgEB6AnNmz84/mTy6Zkx6xauYAIFkBK4dem0+5m3+vLmRjX1zECBAgAABAgQIEGiLgACiLXquJUCAAAECBAgUQWDL5i2xqbY2xtTURDan3UGAAIH2FMjGvO15ZU8sW7qsPZdxbwIECBAgQIAAgQoQEEBUQJNtkQABAgQIEEhXIPsE8p133B69eveKocOGpbsRlRMgkIxANuZtyOVDYtHChVFfX59M3QolQIAAAQIECBAoPQEBROn1REUECBAgQIAAgSaBNatX5/PYb7xpfGTz2R0ECBAohsDEyZPzZaZPnVaM5axBgAABAgQIECBQpgICiDJtrG0RIECAAAEC6QtknzxesnhxDBg4MAYNHpT+huyAAIFkBLJxb1OmTc3Hv2Vj4BwECBAgQIAAAQIEWiMggGiNmmsIECBAgAABAkUQWLp4ST6H/eYpU4qwmiUIECBwtEA29q376d3zMXBHv+M3AgQIECBAgAABAs0TEEA0z8lZBAgQIECAAIGiCtTV1cWqlSvjuuHDo89ZfYq6tsUIECCQCWRj3+68a0Y+Bm7F8uVQCBAgQIAAAQIECLRYQADRYjIXECBAgAABAgTaX2DRwvvyTx6Pnzih/RezAgECBI4jkI1/y8bAZePg9u3bd5yzvEyAAAECBAgQIEDg2AICiGO7eJUAAQIECBAg0GECGzdszOeuj6mp8eDpDuuChQkQaBQYO+6GfBzcgvl3N77kTwIECBAgQIAAAQLNEhBANIvJSQQIECBAgACB4ghknzC+9Zbp0at3rxgxcmRxFrUKAQIETiBQXV2dj4PLxsJte2HbCc70FgECBAgQIECAAIGjBQQQR3v4jQABAgQIECDQoQJrVq/OP2l86223d2gdFidAgMCRAqNrxuRj4ebMnn3ky34mQIAAAQIECBAgcEIBAcQJebxJgAABAgQIECieQH19fcyeOSuft97/wv7FW9hKBAgQOIlAVVVVZGPhNtXWRjYmzkGAAAECBAgQIECgOQICiOYoOYcAAQIECBAgUASB+XPn5qvMmDWzCKtZggABAi0TyMbCZePh7r1ngQdSt4zO2QQIECBAgACBihUQQFRs622cAAECBAgQKCWBurq6WL9ufYwdNy6yTxo7CBAgUIoC2Xi4Hdt3RDYuzkGAAAECBAgQIEDgZAICiJMJeZ8AAQIECBAgUASBWTNm5PPVR40eVYTVLEGAAIHWCWTj4QYMHBhLFi+ObGycgwABAgQIECBAgMCJBAQQJ9LxHgECBAgQIECgCAJr16yNrU9vjYmTJkfXrl2LsKIlCBAg0HqBm6dMiT2v7InGsXGtv5MrCRAgQIAAAQIEyl1AAFHuHbY/AgQIECBAoKQF9u3bF/Pnzc3nql879NqSrlVxBAgQyAT6nNUnrhs+PB8bl42PcxAgQIAAAQIECBA4noAA4ngyXidAgAABAgQIFEFg2dJl+SeJ5919dxFWswQBAgQKIzB+4oR8bFw2Ps5BgAABAgQIECBA4HgCAojjyXidAAECBAgQINDOAtn89EULF8aQy4dEdXV1O6/m9gQIECicQDYuLhsbl42P27hhY+Fu7E4ECBAgQIAAAQJlJSCAKKt22gwBAgQIECCQksD0qdPycidOnpxS2WolQIBALpCNjevVu1fcesv0yMbJOQgQIECAAAECBAi8XkAA8XoRvxMgQIAAAQIEiiCwZfOW2FRbG1OmTY2qqqoirGgJAgQIFF4gGx+XPZB6zerVhb+5OxIgQIAAAQIECCQvIIBIvoU2QIAAAQIECKQocOcdt+fz04cOG5Zi+WomQIBALpCNjxswcGDMnjkrsrFyDgIECBAgQIAAAQJHCgggjtTwMwECBAgQIECgCAIrli+PHdt3xJ13zYhsjrqDAAECKQvMmDUzL79xrFzKe1E7AQIECBAgQIBAYQUEEIX1dDcCBAgQIECAwAkFsjnpSxYvzj8xPGjwoBOe600CBAikIJCNkRs7blw+Vq6uri6FktVIgAABAgQIECBQJAEBRJGgLUOAAAECBAgQyAQWzD84L33suBuAECBAoGwERo0elY+VmzRhQtnsyUYIECBAgAABAgTaLiCAaLuhOxAgQIAAAQIEmiWw7YVtsWrlyrhu+PDI5qY7CBAgUC4C2Ti5bKxcNl5u7Zq15bIt+yBAgAABAgQIEGijgACijYAuJ0CAAAECBAg0V2DO7Nn5J4RH14xp7iXOI0CAQDIC2Vi5fuf1i/nz5kY2bs5BgAABAgQIECBAQADh7wABAgQIECBAoAgCGzdszOejj6mpiWxeuoMAAQLlKDB1+vTY88qeWLZ0WTluz54IECBAgAABAgRaKCCAaCGY0wkQIECAAAECLRXIPgl87z0LolfvXjF02LCWXu58AgQIJCOQjZcbcvmQWLRwYWRj5xwECBAgQIAAAQKVLSCAqOz+2z0BAgQIECBQBIE1q1fnc9Fvve32yOakOwgQIFDOAhMnT863l42dcxAgQIAAAQIECFS2gACisvtv9wQIECBAgEA7C9TX18eSxYtjwMCB0f/C/u28mtsTIECg4wWyMXNTpk3Nx85t2byl4wtSAQECBAgQIECAQIcJCCA6jN7CBAgQIECAQCUILF28JJ+HfvOUKZWwXXskQIBALpCNm8vGzt15x+1ECBAgQIAAAQIEKlhAAFHBzbd1AgQIECBAoH0F6urqYtXKlXHd8OHR56w+7buYuxMgQKCEBLJxczfeND4fP7di+fISqkwpBAgQIECAAAECxRQQQBRT21oECBAgQIBARQnMmjEjup/ePcZPnFBR+7ZZAgQIZAKDBg/Kx89lY+j27dsHhQABAgQIECBAoAIFBBAV2HRbJkCAAAECBNpfYOOGjbH16a0xpqbGg6fbn9sKBAiUqMDYcTfkY+gWzL+7RCtUFgECBAgQIECAQHsKCCDaU9e9CRAgQIAAgYoUyD7pe+st0/P55yNGjqxIA5smQIBAJlBdXZ2PocvG0WVj6RwECBAgQIAAAQKVJSCAqKx+2y0BAgQIECBQBIE1q1fnn/idd7dP/BaB2xIECJS4QDaGLhtHt2jhfSVeqfIIECBAgAABAgQKLSCAKLSo+xEgQIAAAQIVLVBfXx+zZ87K555nn/x1ECBAoNIFsgdSZ+PoNtXWRjaezkGAAAECBAgQIFA5AgKIyum1nRIgQIAAAQJFEJg/d26+yoxZM4uwmiUIECCQhkA2jq5X715x7z0LPJA6jZapkgABAgQIECBQEAEBREEY3YQAAQIECBAgEPl88/Xr1sfYceOiqqoKCQECBAgcIXDrbbfHju07IhtT5yBAgAABAgQIEKgMAQFEZfTZLgkQIECAAIEiCEyacHDO+ajRo4qwmiUIECCQlkD/C/vn4+myMXXZuDoHAQIECBAgQIBA+QsIIMq/x3ZIgAABAgQIFEFg7Zq1+Sd7J06aHNm8cwcBAgQIvFHg5ilT8hcbx9W98QyvECBAgAABAgQIlJOAAKKcumkvBAgQIECAQIcI7Nu3L+bPmxv9zusX1w69tkNqsCgBAgRSEOhzVp98TF02rq6uri6FktVIgAABAgQIECDQBgEBRBvwXEqAAAECBAgQyASWLV0We17ZE1OnTwdCgAABAicRyMbUdT+9e8yaMeMkZ3qbAAECBAgQIEAgdQEBROodVD8BAgQIECDQoQLbXtgWixYujCGXD4nq6uoOrcXiBAgQSEEgG1OXjavb+vTW2LhhYwolq5EAAQIECBAgQKCVAgKIVsK5jAABAgQIECCQCcyZPTuHmDh5MhACBAgQaKZANq6uV+9ecest0yMbY+cgQIAAAQIECBAoTwEBRHn21a4IECBAgACBIghs2bwlNtXWxpRpU6OqqqoIK1qCAAEC5SMw7+678/F12Rg7BwECBAgQIECAQHkKCCDKs692RYAAAQIECBRB4M47bs8/wTt02LAirGYJAgQIlJdANrZuwMCB+Ri7+vr68tqc3RAgQIAAAQIECOQCAgh/EQgQIECAAAECrRBYsXx57Ni+I268aXxk88wdBAgQINBygRmzZuYXTZ86reUXu4IAAQIECBAgQKDkBQQQJd8iBRIgQIAAAQKlJpDNK1+yeHH+yd1BgweVWnnqIUCAQDIC2fi6bIxdNs6urq4umboVSoAAAQIECBAg0DwBAUTznJxFgAABAgQIEGgSWDD/4NzyseNuaHrNDwQIECDQOoFsjF3307vHpAkTWncDVxEgQIAAAQIECJSsgACiZFujMAIECBAgQKAUBbJP6K5auTKuGz48svnlDgIECBBom0A2xu7Ou2bkY+3Wrlnbtpu5mgABAgQIECBAoKQEBBAl1Q7FECBAgAABAqUusGjhffkndUfXjCn1UtVHgACBZASycXb9zusX8+fNjWzMnYMAAQIECBAgQKA8BAQQ5dFHuyBAgAABAgSKILBxw8Z8TvmYmprI5pY7CBAgQKBwAlOnT489r+yJbMydgwABAgQIECBAoDwEBBDl0Ue7IECAAAECBNpZIPtE7r33LIhevXvFiJEj23k1tydAgEDlCWRj7YZcPiQfc/f/2LsTOCuv8mDgT0QMbSGBRNtpjIYtMdHP1CFurYWEibEpuJAVMBq+KgSQ8NXIvpiFsC/Gr4QCARPBKpAVlxBrmiEBrflqw2hSGzVsiUkcGwmY0Iqh1G/OC0PAsMx65733/s/vh3Pn3vc95zn/c8fR+8x5zuanNpcfgBkTIECAAAECBEpQQAKiBBfVlAgQIECAAIGWF1i9alVWn/z6G25s+c71SIAAAQKZwLgJE7Iyd7NnzSJCgAABAgQIECBQAgISECWwiKZAgAABAgQItK5AbW1tLFm8OPpWVUXvPr1bdzC9EyBAoIwFUnm7VOZufXV1bNywsYwlTJ0AAQIECBAgUBoCEhClsY5mQYAAAQIECLSiwLw5c7K65BMnTWrFUXRNgAABAklg0ODBWbm7aTfd6EBqbwkCBAgQIECAQJELSEAU+QIKnwABAgQIEGhdgZqamlh739q4esiQ6Hlmz9YdTO8ECBAgEB07dozrPjcmK3uXyt9pBAgQIECAAAECxSsgAVG8aydyAgQIECBAoAACM6dPz+qRjxk3tgCjGYIAAQIEkkC//v2ysnep/F0qg6cRIECAAAECBAgUp4AERHGum6gJECBAgACBAgisu39dbHpsU4wbPyH7i9wCDGkIAgQIEDggkMre7XxxZyxdvIQJAQIECBAgQIBAkQpIQBTpwgmbAAECBAgQaF2B3bt3x/Wfn5rVIR84aGDrDqZ3AgQIEHiNQCp7l8rfrVyxIlI5PI0AAQIECBAgQKD4BCQgim/NREyAAAECBAgUQCDVHU9/eTt3/vwCjGYIAgQIEDiSQCp/1+WULrFo4a1HetlzBAgQIECAAAECOReQgMj5AgmPAAECBAgQKLxAqjc+a8bMrP54ZWVl4QMwIgECBAhkAulA6hEjR8b66upIZfE0AgQIECBAgACB4hKQgCiu9RItAQIECBAgUACBqZOnZKNMnzmjAKMZggABAgSOJTB02LCsHF4qi5fK42kECBAgQIAAAQLFIyABUTxrJVICBAgQIECgAAKpznj6S9tRo0dHRUVFAUY0BAECBAgcT+D6G27MyuKl8ngaAQIECBAgQIBA8QhIQBTPWomUAAECBAgQKIDA+LH7641fM/yaAoxmCAIECBBoiEDvPr2zsnipPF4qk6cRIECAAAECBAgUh4AERHGskygJECBAgACBAgisWb0mtm7ZGtNunh6p7rhGgAABAvkRqC+LN2/OnPwEJRICBAgQIECAAIFjCkhAHJPHiwQIECBAgEC5CKS64vPmzole5/WKfv37lcu0zZMAAQJFI5DK4qXyeGvvWxupXJ5GgAABAgQIECCQfwEJiPyvkQgJECBAgACBAggsmDc/qy8+eerUAoxmCAIECBBoikAqj9fllC4xc/r0ptzuHgIECBAgQIAAgQILSEAUGNxwBAgQIECAQP4ENj+1OVauWBEDLhkQlZWV+QtQRAQIECCQCaTyeOPGT4hNj22KVDZPI0CAAAECBAgQyLeABES+10d0BAgQIECAQAEEZs+alf1F7bgJEwowmiEIECBAoDkCAwcNjO49umdl81L5PI0AAQIECBAgQCC/AhIQ+V0bkREgQIAAAQIFENi4YWOsr66OESNHRqovrhEgQIBA/gXmzt9fNu+2pbflP1gREiBAgAABAgTKWEACoowX39QJECBAgACBiGk33Zj9Je2gwYNxECBAgECRCKRyeals3qKFC6O2trZIohYmAQIECBAgQKD8BF5fflM2YwIECBAgQKAgAvu2xfoV/xRbXvh/ccfih+Kwj4fanxtXjPlw9HzTu+Pyyyqjc0ECeu0gy5cti61btsbCRYsi1RXXCBAgQKB4BFLZvLX3rY2pk6fE8tu/VDyBt1SkRfB7tqWmqh8CBAgQIECgeAVO+F1da0j4Pbp2yy7bsn1bQy53DQECBAgQIFCuArtq4t6li2LB7ycdjuZRcWGMmjkl/raqW7Q72jWt8Hz6i9kP9+sX73pXZXl+cNUKprokQIBAoQVSInnWjJlx9333RtoVURatSH7PlsVamCQBAgQIECgTgebkBiQgyuRNYpoECBAgQKD1BfbE9gfnxGc/8+V4Ym9jR+sU7/z47Pjizf2ia4GyEDfdcGOsXLGivD60auyyuJ7AkQS2LYsBfWfGE0d67ajPnR5VIz8R7+v53jbd9XTU8LxQtALpEOoL+vSJLl26xIMPPVS082hY4MX1e7Zhc3IVAQIECBAgUAwCzUlAOAOiGFZYjAQIECBAoEUE9sb2ZVdG+h8O6d87xq+PRucJjhpH3Yci94yLq4b9XvKhbnfD8Ck3x/L1T0baRbn/3+Z47L5bYtLIC+PVI59fjie+9tm4atKDseuoY7TcCzU1NVny4eohQ8rnL2Zbjk9PBJog8GxUL54ds8ZcGue9/5pYXrOjCX24hcBrBVL5vGk3T8/K6aXdEG3b/J5tW3+jEyBAgAABAnkUkIDI46qIiQABAgQIFJXAgeTDmG+9es5DOuNh7r3x2KPLY/ywT0Tfbh0OmVG76Fw5IIZOWB4b1i+KQed2OvDa3qi9c0bMrn7hkGtb5+GihbdGl1O6xJhxY1tnAL0SIHB0gdoHY9aV18byLXuOfo1XCDRCoF//ftG3qiqWLF4caUdE6bXi+z1bemtgRgQIECBAgEBTBRxC3VQ59xEgQIAAAQKZwL4tX4mxEw9JPlRcFJMWz4qhlaceV6hdt34xY2X72HfxqLirNu3HeDrumnxL/NW3b46+nZtWi2nd/eviO9/5x9jw8CPx61//+mAM7zz33Ohz/vlRUVER66urY9KUyQ6ePqjjQakIpA9fNzyyIb79wAN1Xx+Jl19++eDU/vwDfxEf+chH4/wL9v8cHHyhOQ86XBnLn5gTfdsfu5N929bXHUb/xZh/5+P7d17tfTTmj/tK9L1rWPRo2o/6sQf0atkJjBp9bVx+yaUxe+asSP99/8C6dbFxw4bDHHrXlWr667qzf/p/uH9R/fd/3n7PHobqGwIECBAgQIDAcQQkII4D5GUCBAgQIEDgGAL7fhJ3jFsYNfW1nNq/PyZ99e9iaI9Ddzwc4/70UueqmDjz8tj4qVX7d1DUPhBfe+ja6HvZace58fCXN27YGDd8/vPx9NNPR4c/+IPoWldm6tzKXtlFv92zJ5555ulYtHBh9v3JnTvH0GHDDu/AdwSKXCD9DIweNeqwpMOhU/r+9/450r/UUgKukD8D7br1jaFzz43KU4fFVYtrsiTE3k1fjWWPDIjZVW86NEyPCTRJIB1A/f4///NYs3p1rPra16Jzl1Piz+p+B5x08slZfy/VJaSfeOLfsqTE7FmzYuKkSTFw0MAmjVXQm3L0e7ag8zYYAQIECBAgUDICEhAls5QmQoAAAQIECi2wL3Y9sjLu2FT/F9adonL8DfE3jUk+ZCHXlWQ6/7L42Ol3x9JnUyZjV2xc92jsuOzSOP4eiv1zTrse0gevKfHQ/6Mfi7edfc4RMXb86lfxyMPVsX3r1ris7i9lV3xlZVH9FewRJ+VJAnUCX1jwhYMJtoaAzJoxM7678btx698vKuDPwKlx3tgp8alvDj7ws/58fP8Hz8S+ugSETRANWTXXHEvg+roE9KPf/35UnHZaXFB1YZx22puPePnzzz8XD1c/FJMnTowf//jf6s6PuPmI1+Xjydb9PRt1v2c1AgQIECBAgEBrCzgDorWF9U+AAAECBEpW4JdR/dUHXj334fSrYsqnzm7aB4ntzomLPtLtoNTenz4Vz+w7+O0xH9QnH9KHTkOHjzhq8iF1cuob3xiXXn5lfPCvLo4f1h1EPeSTVx+zby8SKAaBdPBu/e6exsSbytNc+5lRjbml+de26xHv+Yv61OLeePZ7m+Lnze9VD2UucNMNN8ZXv/IP2Y6Hj3/i6qMmHxJTSkyka9LuiHRPSlzkt7Xu79n8zltkBAgQIECAQCkJSECU0mqaCwECBAgQKKTAjkfjgQ27DozYOaqu+2RUNvnPmE+Mt/Y8Iw6Wkf/Vi7Hrf44/mdra2mznQ0o+XH7lwHjDG048/k11V5z7Z+86mIRIH95qBIpVoKYukZZ2MzS1pSSEn4Gm6rkvDwKp9NjKFSuyhMKFF32owSGla+uTECmRncvWyr9nczlnQREgQIAAAQIlJ6AEU8ktqQkRIECAQLkLLP/oOTHr8T3HZdhz56fi7DuPctlxD5bdFzse/nZsTBWTUmv/nvjrC/5k/+Mm/We7OKlLl2z3RH2XDekm1fFO7SMfu6TByYf6flMSYvNTP8s+vP3wRz6SHU5d/5qvBIpFYMH8+XHCCSfE7373uyaHvPD//l0MGjy4QKWY/it27nj1v5/av+nU6NTkyN1IIOLG66/Pznvoff75jeZISYint2+PeXPmRL/+/Rp4/89ieV2pv3L5PdtAFJcRIECAAAECBI4qYAfEUWm8QIAAAQIECBxd4LfxzOans4Nks2vOeU/0OrXJ2x+OPswxXkm7H7759W9kf8HaqVPTPsI8/4KqbIRHHn7kGCN5iUA+BTY/tTk7VLo5yYc0s927d8f937q/MJPc9eP4lx//54Gx2sefnHVGdC7MyEYpQYG0+2F7XQLhA717NzoJXc+R7n3mmWcif7sg2v73bL2RrwQIECBAgACB5ghIQDRHz70ECBAgQKBsBXbFtp/9x8HZdzi7Z7z54HdNebA3ntuyLV79u+jj97HpsU3ZRe+qq+Pd1JbOhEjlmx5Yl9PyG02dmPvKQuCxxx5rsXl+77vfbbG+jtrRvi1x7/hpcVdt/T6nbtH/Q+c07dyYow7ihXIS+MEPfpBNt1v37k2e9tvOPie79wf/8i9N7qN1bmz737OtMy+9EiBAgAABAuUmoARTua24+RIgQIBAyQsM/caTMfSIs9wb25ddFRfO2P+BTYcrb48fzu376rkLR7znaE/ujhdfqE8XdIgzz3xzE/up7/8/Y9tThxxFe1bP6HbwQIj6aw7/+vzzz2VPpCRCc9pb33pGpDr4GoFiE/jJk0+2WMg1m/Yn9Fqsw0M72rct1q/4Vvzj2mVx1+MvH3ilfVRcOTauqfzDQ6/0mECjBP7tiSeyJHJDz/85Wudd6xIYW7ZsOdrLv/f8WVEqv2d/b2K+JUCAAAECBAi0ioAERKuw6pQAAQIECBBolEDdX0b/4J93HLilfZz+gV7xluN08OS//3tW9/s4lx335RM7dDjuNS4gkEeBn//8kKRdMwN8/vnnm9bDnjtj6Jl3Nv7eistj+uQq5ZcaL+eOQwReeeWV6NBC/x3+P//zP4f0XIIPj/B7tgRnaUoECBAgQIBADgWUYMrhogiJAAECBAjkX6BjnPKm+g/u98XOF1+OfU0Oel/seuSe+PqzjSvL8ubT3xK7dr7Y5FHdSIBAWwjU7Xy48P/E8lXXR9/OhT03pi1ma8zWFXjd60r5/862/u/Z1l0dvRMgQIAAAQIE9guU8v9is8YECBAgQIBAqwl0jm5n/fGB3vfGL3/2dOxq6lj7noq7b/1W1Nbff3pVXHTu8cuynHTS/oOnX3nlt/V3NunrC7/8Zbz1rW9t0r1uItCWAm9/xztabPj3vu99LdbXaztKSYdrYtKU62Pefd+P733puujbrT6B+dqrPUOgoQJvetMbo/YXv2jo5Ue9bs+ePXWHWL/hqK+3zQtt/3u2beZtVAIECBAgQKDUBCQgSm1FzYcAAQIECBRE4MR4a88zDp77sHfDt+ORHUffA7Fvyx0x4po5cW9NfZml+iDT7oeVccem+rrwnaPquk9GZQP+MPq8d78762Tb1q31nTXp6/bt26LXeU0/yLpJg7qJQAsInH322S3Qy/4umtxXhytj+VPbYkvdz9HR//2sLukwKYYO+5u4tPLUFotZRwTe+773x57f/CZ2/OpXTcZ4+eWXo7auBNlffOAvmtxH69zY9r9nW2deeiVAgAABAgTKTUACotxW3HwJECBAgECLCLSLUy+4OHrXHxS99+FYMKf6KLsg/isev3t1PPidJTHukgEx4p4tB8s17dt2T0ycfPfB3Q/te30mJg44rUERVlZWxsknnxw//rcnGnT9kS766U+ezD68uvCDFx3pZc8RyLVAn/P7xB/90R+1SIwfHfCxFulHJwQKKXD+Bednw/2wpumHqP/Lo9/P+vjwRz5SyNAbMFbb/55tQJAuIUCAAAECBAgcV0AC4rhELiBAgAABAgSOKHBq7/j4JWcceGlv1N45I2ZXv/DaS3d9L9bct+3A88/Gg2MuicvmfD92bLszRg2eGg/WHjj7of37Y+y8T0aPBux+qB/kM9eOiu11OyAe/9EP659q8NdUuumhB78TXbt2jX79+zX4PhcSyItAx44d4/989m+bFc4JJ5wQf173l98poacRKDaBioqKuHrIkPhRXQLi+eefa3T4aedEuvf8Cy6I1FfuWg5+z+bOREAECBAgQIBA0Qmc8Lu61pCoe3Ttll2WtlZrBAgQIECAAIEksG/Lshh48cyoqT8/Ok6PqilfjHnDzovOB4nqyizVfDPWrLojbrnz8Th46cHX6x60r4zhq5fF+PMaX57l0gGXxI9++MMY8qmhceob33hor0d9nJIPd9+5Jiu7cfd99/rw9ahSXsi7wO7du6P/xX8dzz33XDTwf9a/Zkr/+OCD0fPMnq95/qhPbFsWA/rOjGzvUSrB9MSc6Fu/G+qoN3mBQOsIpJ+BPh/4y/jtK6/EwMFXNfj3QCq99JUv356d/fDAP347nwmIOrI8/J5tnZXTKwECBAgQIFBMAs3JDdgBUUwrLVYCBAgQIJAzgXY9PhnzZ384Xv270Wejesbl8f6PToil99QcKMnULjpXDojhs74Yi6+98JBrD0ymGcmH1MPfL1kcJ3fuHCtuX96gnRDpL17rkw8LFy2SfMjZe0o4jRNIuyC+dMcd0alTp0i7GRrb0s9Ao5IPjR3A9QRaWSD9DNx5993xhvbt6xLdX43t245/LlDaLZGSD+n8iL9buDC3yYdEl4ffs628hLonQIAAAQIESlzADogSX2DTI0CAAAECrS+wJ7bfMy6uGvOtg2c5NHzMirji9gdidtWr+yUafu+rV9bW1sZnRozMdkJ07nJKfKB37zjtzadnH8rWX5U+lNqyeXNWbqNDhw4xb8ECpZfqcXwteoHNT22Oz/7t38aT//7vDZpL+tD21r//++jdp3eDrj/sIjsgDuPwTT4E0s/A1Z/4RPzyl7+Mrt27xzv+1zujW93XN7zhxCzAtPPt+bqdQpse+9esdF86Q+hLX76jSJLQbf97Nh+rLAoCBAgQIECgrQSaswNCAqKtVs24BAgQIECgxAT2bXsw/u/0abHooWcbN7Nm7oA4dLDly5bFV7/yD/HMM88c+vRhj9MHUtvqzo34Xt3Bo7ms+X1YtL4h0HCBVIpm9apVcevfLYxUXuZoLdXMHz5yRNPf/xIQR6P1fBsKpPf/x+oOkn7p1y/Ff//3f8dLL710xGhOOumkGHDJJTFm3NhIibhiann4PVtMXmIlQIAAAQIEWk5AAqLlLPVEgAABAgQINFdgV03ce9e/xgtPfev3znyoOx9i5CfifT3fG5dfdk7sWPY30X/GowfOhOgU77xyctww+Yqo7NyIU6iPEmtNTU089q//etirp5325uhzfp9IH1J94P1/Hn2rqmL57V867BrfECgVgSP9DLztbWdHZa/K5n/oKgFRKm+TkppHSkDPmjEzUlmxfv37xcYNG+OnP/3JYXNssZ+Bw3ptg29y8Hu2DWZtSAIECBAgQKANBSQg2hDf0AQIECBAgEBTBV6I9eOviKF3Pn2gg7Ni+H33xfjKP2xqhw2+r/6Dqi+vXNm0EjQNHsmFBEpQQAKiBBe1uKeUyvB9uF+/eNe7KiWWD1vKtvs9e1gYviFAgAABAgSKXqA5CQiHUBf98psAAQIECBAoVoE3Rd9ZX4p5Hzo9m0D7C4fHpwuQfEiDDRo8OLqc0iWm3XRjNrb/IECAAIHiFVi6eEnsfHFnTJw0qXgn0SqRt93v2VaZjk4JECBAgACBohSQgCjKZRM0AQIECBAoEYF2PeLS29bGnSMvjWuuvThOLdC0Ut3vaTdPj61btkbaDaERINAIgW7DYu32bbEl/fvJnOjbvhH3upRACwukcmMrV6yIdLZJzzN7tnDvJdBdG/2eLQE5UyBAgAABAgRaSMAh1C0EqRsCBAgQIECg+ASGfurT8cMf1sTDGzY0vy5+8U1fxAQIECh6Af89XvRLaAIECBAgQIBAEQgowVQEiyREAgQIECBAIH8Co0Zfm5XtWDBvfv6CExEBAgQIHFNg3f3rYn11dYwYOVIS+ZhSXiRAgAABAgQItJ2AEkxtZ29kAgQIECBAoI0FKisrs7IdqXzH5qc2t3E0hidAgACBhgrs3r07rv/81Ojeo3sMHTasobe5jgABAgQIECBAoMACEhAFBjccAQIECBAgkC+B4SNHZAdSz541K1+BiYYAAQIEjiqwetWqbAfb9TfceNRrvECAAAECBAgQIND2AhIQbb8GIiBAgAABAgTaUKCioiIr35HKeKRyHhoBAgQI5FugtrY2Zs2YGX2rqqJ3n975DlZ0BAgQIECAAIEyF5CAKPM3gOkTIECAAAECEYMGD87KeNzyhQWRynpoBAgQIJBfgXlz5mTBTZ85I79BiowAAQIECBAgQCATkIDwRiBAgAABAgTKXqBjx46Rynhs3bI1UlkPjQABAgTyKVBTUxNr71sbo0aPjrSDTSNAgAABAgQIEMi3gAREvtdHdAQIECBAgECBBFIZj1TOY8nixZHKe2gECBAgkD+BmdOnZ+f2XDP8mvwFJyICBAgQIECAAIHXCEhAvIbEEwQIECBAgEC5CkycNCk71LS+vEe5Opg3AQIE8iiwZvWa2PTYphg3fkKknWsaAQIECBAgQIBA/gUkIPK/RiIkQIAAAQIECiTQ88yecfWQIVl5j1TmQyNAgACBfAik83nmzZ2TndczcNDAfAQlCgIECBAgQIAAgeMKSEAcl8gFBAgQIECAQDkJjBk3Nivvkcp8aAQIECCQD4Hblt6W7VCbO39+PgISBQECBAgQIECAQIMEJCAaxOQiAgQIECBAoFwEUlmPVN4jlflYd/+6cpm2eRIgQCC3AulcnkULF8aASwZEZWVlbuMUGAECBAgQIECAwGsFJCBea+IZAgQIECBAoMwFUnmP7j26x/Wfnxqp7IdGgAABAm0nMHXylGzwcRMmtF0QRiZAgAABAgQIEGiSgAREk9jcRIAAAQIECJS6QCrzsfPFnbF61apSn6r5ESBAILcCGzdsjPXV1TFpyuSoqKjIbZwCI0CAAAECBAgQOLKABMSRXTxLgAABAgQIlLlAKvPRt6oqZs2YGan8h0aAAAEChReYdtON2bk8gwYPLvzgRiRAgAABAgQIEGi2gAREswl1QIAAAQIECJSqwPSZM7Kp1Zf/KNV5mhcBAgTyKLB82bLYumVrTLt5eqTzeTQCBAgQIECAAIHiE5CAKL41EzEBAgQIECBQIIFU7mPU6NFZ+Y+ampoCjWoYAgQIEEjn7yxZvDjbidavfz8gBAgQIECAAAECRSogAVGkCydsAgQIECBAoDAC1wy/Jiv/MX7s2MIMaBQCBAgQiAXz9p/DM2r0tTQIECBAgAABAgSKWEACoogXT+gECBAgQIBA6wuksh+p/EcqA7Jm9ZrWH9AIBAgQKHOBzU9tjpUrVsTVQ4ZEOo9HI0CAAAECBAgQKF4BCYjiXTuREyBAgAABAgUSSOU/ep3XK+bNnROpLIhGgAABAq0nMHvWrGzn2fCRI1pvED0TIECAAAECBAgUREACoiDMBiFAgAABAgSKXWDy1Kmx88WdcdvS24p9KuInQIBAbgXW3b8uO3dnxMiRkc7h0QgQIECAAAECBIpbQAKiuNdP9AQIECBAgECBBFIZkAGXDIhFCxdGKg+iESBAgEDLCqQdZrd8YUF079E9Bg0e3LKd640AAQIECBAgQKBNBCQg2oTdoAQIECBAgEAxCoybMCELO5UH0QgQIECgZQVWr1qVnbdz/Q03Rjp/RyNAgAABAgQIECh+AQmI4l9DMyBAgAABAgQKJJDKgUyaMjkrD7Jxw8YCjWoYAgQIlL5AbW1tLFm8OPpWVUXvPr1Lf8JmSIAAAQIECBAoEwEJiDJZaNMkQIAAAQIEWkYglQVJ5UGm3XRjy3SoFwIECBCIpYuXZOfsTJw0iQYBAgQIECBAgEAJCUhAlNBimgoBAgQIECDQ+gKpLMh1nxuTlQlZvmxZ6w9oBAIECJS4QE1NTaxcsSKuHjIkep7Zs8Rna3oECBAgQIAAgfISkIAor/U2WwIECBAgQKAFBPr175eVCUnlQlLZEI0AAQIEmi4wc/r06HJKlxgzbmzTO3EnAQIECBAgQIBALgUkIHK5LIIiQIAAAQIE8i4wavS1WbmQVDZEI0CAAIGmCay7f11semxTjBg50sHTTSN0FwECBAgQIEAg1wISELleHsERIECAAAECeRWorKzMyoWksiGpfIhGgAABAo0T2L17d1z/+anZuTpDhw1r3M2uJkCAAAECBAgQKAoBCYiiWCZBEiBAgAABAnkUGD5yRFY2ZNHCW/MYnpgIECCQa4HVq1ZlO8nmzp+f6zgFR4AAAQIECBAg0HQBCYim27mTAAECBAgQKHOBioqKrGzI+urqSGVENAIECBBomEA6P2fWjJnZeTppR5lGgAABAgQIECBQmgISEKW5rmZFgAABAgQIFEgglQ3p3qN73PKFBZHKiWgECBAgcHyBeXPmZBdNnznj+Be7ggABAgQIECBAoGgFJCCKdukEToAAAQIECORF4PobboytW7ZGKieiESBAgMCxBdK5OWvvWxujRo+OtJNMI0CAAAECBAgQKF0BCYjSXVszI0CAAAECBAok0LtP76yMSConksqKaAQIECBwdIHxY8dm5+dcM/yao1/kFQIECBAgQIAAgZIQkIAoiWU0CQIECBAgQKCtBSZOmpSFUF9WpK3jMT4BAgTyKLBm9Zpsx9i48ROiY8eOeQxRTAQIECBAgAABAi0oIAHRgpi6IkCAAAECBMpXoOeZPbNyIqmsSCovohEgQIDA4QLpnJx5c+dEr/N6xcBBAw9/0XcECBAgQIAAAQIlKSABUZLLalIECBAgQIBAWwikciJdTukSM6dPb4vhjUmAAIFcC9y29LbY+eLOmDx1aq7jFBwBAgQIECBAgEDLCUhAtJylnggQIECAAIEyF0jlRFJZkU2PbYp1968rcw3TJ0CAwKsCm5/aHIsWLowBlwyIysrKV1/wiAABAgQIECBAoKQFJCBKenlNjgABAgQIECi0QCor0r1H97j+81MjlRvRCBAgQCBi9qxZGcO4CRNwECBAgAABAgQIlJGABEQZLbapEiBAgAABAoURmDt/flZmJJUb0QgQIFDuAhs3bIz11dUxacrkqKioKHcO8ydAgAABAgQIlJWABERZLbfJEiBAgAABAoUQSOVF+lZVZeVGamtrCzGkMQgQIJBbgWk33ZjtDBs0eHBuYxQYAQIECBAgQIBA6whIQLSOq14JECBAgACBMheYPnNGJjB18pQylzB9AgTKWWD5smWxdcvWuO5zYyKdk6MRIECAAAECBAiUl4AERHmtt9kSIECAAAECBRJIZUZSuZFUdqSmpqZAoxqGAAEC+RFI5+AsWbw42xHWr3+//AQmEgIECBAgQIAAgYIJSEAUjNpABAgQIECAQLkJpHIjXU7pEuPHji23qZsvAQIEYsG8/efhjBp9LQ0CBAgQIECAAIEyFZCAKNOFN20CBAgQIECg9QVSuZFpN0/Pyo+sWb2m9Qc0AgECBHIikHZ+rVyxIq4eMiTSuTgaAQIECBAgQIBAeQpIQJTnups1AQIECBAgUCCBVHak13m9Yt7cOZHKkWgECBAoB4FFC2/NdoANHzmiHKZrjgQIECBAgAABAkcRkIA4CoynCRAgQIAAAQItJTB56tTY+eLOrBxJS/WpHwIECORVYN3967Lzb0aMHBnpPByNAAECBAgQIECgfAUkIMp37c2cAAECBAgQKJBAKj8y4JIBWTmSzU9tLtCohiFAgEDhBdJOr1u+sCC69+geQ4cNK3wARiRAgAABAgQIEMiVgARErpZDMAQIECBAgECpCoybMCErRzJ71qxSnaJ5ESBAIFavWpWde3P9DTfSIECAAAECBAgQIBASEN4EBAgQIECAAIECCKQyJKkcyfrq6ti4YWMBRjQEAQIECitQW1sbSxYvjr5VVdG7T+/CDm40AgQIECBAgACBXApIQORyWQRFgAABAgQIlKLAoMGDs7Ik02660YHUpbjA5kSgzAXmzZmTnXczcdKkMpcwfQIECBAgQIAAgXoBCYh6CV8JECBAgAABAq0s0LFjx7juc2Oy8iSpTIlGgACBUhGoqamJtfetjauHDImeZ/YslWmZBwECBAgQIECAQDMFJCCaCeh2AgQIECBAgEBjBPr175eVJ0llSlK5Eo0AAQKlIDBz+vTsnJsx48aWwnTMgQABAgQIECBAoIUEJCBaCFI3BAgQIECAAIGGCqTyJDtf3BlLFy9p6C2uI0CAQG4F1t2/LjY9tinGjZ8QaaeXRoAAAQIECBAgQKBeQAKiXsJXAgQIECBAgECBBFJ5klSmZOWKFZHKlmgECBAoVoHdu3fH9Z+fmp1vM3DQwGKdhrgJECBAgAABAgRaSUACopVgdUuAAAECBAgQOJZAKlPS5ZQusWjhrce6zGsECBDItUA6zybt6Jo7f36u4xQcAQIECBAgQIBA2whIQLSNu1EJECBAgACBMhdIZUpGjBwZ66urI5Uv0QgQIFBsAukcm1kzZmbn2lRWVhZb+OIlQIAAAQIECBAogIAERAGQDUGAAAECBAgQOJLA0GHDsrIlqXxJKmOiESBAoJgEpk6ekoU7feaMYgpbrAQIECBAgAABAgUUkIAoILahCBAgQIAAAQK/L3D9DTdm5UtSGRONAAECxSKQzq9JO7hGjR4dFRUVxRK2OAkQIECAAAECBAosIAFRYHDDESBAgAABAgQOFejdp3dWviSVMUnlTDQCBAgUg8D4sfvPsblm+DXFEK4YCRAgQIAAAQIE2khAAqKN4A1LgAABAgQIEKgXqC9fMm/OnPqnfCVAgEBuBdasXhNbt2yNaTdPj3SejUaAAAECBAgQIEDgaAISEEeT8TwBAgQIECBAoEACqXxJKmOy9r61kcqaaAQIEMirQDqvZt7cOdHrvF7Rr3+/vIYpLgIECBAgQIAAgZwISEDkZCGEQYAAAQIECJS3QCpj0uWULjFz+vTyhjB7AgRyLbBg3vzs3JrJU6fmOk7BESBAgAABAgQI5ENAAiIf6yAKAgQIECBAoMwFUhmTceMnxKbHNkUqb6IRIEAgbwKbn9ocK1esiAGXDIjKysq8hSceAgQIECBAgACBHApIQORwUYREgAABAgQIlKfAwEEDo3uP7ll5k1TmRCNAgECeBGbPmpXt1Bo3YUKewhILAQIECBAgQIBAjgUkIHK8OEIjQIAAAQIEyk9g7vz95U1uW3pb+U3ejAkQyK3Axg0bY311dYwYOTLSuTUaAQIECBAgQIAAgYYISEA0RMk1BAgQIECAAIECCaSyJqm8yaKFC6O2trZAoxqGAAECxxaYdtON2Q6tQYMHH/tCrxIgQIAAAQIECBA4REAC4hAMDwkQIECAAAECeRCoL28ydfKUPIQjBgIEylxg+bJlsXXL1rjuc2MinVejESBAgAABAgQIEGiogAREQ6VcR4AAAQIECBAokEAqbzJpyuSs3ElNTU2BRjUMAQIEXiuQdmItWbw4+lZVRb/+/V57gWcIECBAgAABAgQIHENAAuIYOF4iQIAAAQIECLSVQCpz0uWULjF+7Ni2CsG4BAgQiKWLl8TOF3fGqNFnkZmhAABAAElEQVTX0iBAgAABAgQIECDQaAEJiEaTuYEAAQIECBAg0PoCqczJtJunZ2VPUvkTjQABAoUWSDuwVq5YEVcPGRLpfBqNAAECBAgQIECAQGMFJCAaK+Z6AgQIECBAgECBBFK5k17n9crKn+zevbtAoxqGAAEC+wUWLbw124k1ZpydWN4TBAgQIECAAAECTROQgGiam7sIECBAgAABAgURmDx1alb+ZMG8+QUZzyAECBBIAuvuX5edQzNi5EgHT3tLECBAgAABAgQINFlAAqLJdG4kQIAAAQIECLS+QCp7ksqfpDIom5/a3PoDGoEAgbIXSDuubvnCgujeo3sMHTas7D0AECBAgAABAgQINF1AAqLpdu4kQIAAAQIECBREYPjIEVkZlNmzZhVkPIMQIFDeAqtXrcrOn7n+hhvLG8LsCRAgQIAAAQIEmi0gAdFsQh0QIECAAAECBFpXoKKiIlIZlPXV1VlZlNYdTe8ECJSzQG1tbcyaMTP6VlVF7z69y5nC3AkQIECAAAECBFpAQAKiBRB1QYAAAQIECBBobYFBgwdn5VBSWRQHUre2tv4JlK/AvDlzsslPnDSpfBHMnAABAgQIECBAoMUEJCBajFJHBAgQIECAAIHWE+jYsWOkcihbt2yNVB5FI0CAQEsL1NTUxNr71sao0aOj55k9W7p7/REgQIAAAQIECJShgAREGS66KRMgQIAAAQLFKZDKoaSyKEsWL45UJkUjQIBASwrMnD49O2/mmuHXtGS3+iJAgAABAgQIEChjAQmIMl58UydAgAABAgSKTyCVRdn54s5YunhJ8QUvYgIEciuwZvWa2PTYphg3fkKkHVcaAQIECBAgQIAAgZYQkIBoCUV9ECBAgAABAgQKJJDKolw9ZEisXLEiUrkUjQABAs0VSOfKzJs7JztnZuCggc3tzv0ECBAgQIAAAQIEDgpIQByk8IAAAQIECBAgUBwCY8aNzcqkpHIpGgECBJorcNvS27KdVXPnz29uV+4nQIAAAQIECBAgcJiABMRhHL4hQIAAAQIECORfIJVHGTFyZFYuZd396/IfsAgJEMitQDpPZtHChdn5MpWVlbmNU2AECBAgQIAAAQLFKSABUZzrJmoCBAgQIECgzAWGDhuWlUu5/vNTI5VP0QgQINAUgamTp2S3TZ85oym3u4cAAQIECBAgQIDAMQUkII7J40UCBAgQIECAQH4FUrmUdCD16lWr8hukyAgQyK1AOkdmfXV1TJoyOSoqKnIbp8AIECBAgAABAgSKV0AConjXTuQECBAgQIBAmQukcil9q6pi1oyZkcqoaAQIEGiMwPix+8+TGTR4cGNucy0BAgQIECBAgACBBgtIQDSYyoUECBAgQIAAgfwJ1JdNmTdnTv6CExEBArkVWL5sWWzdsjWm3Tw90rkyGgECBAgQIECAAIHWEJCAaA1VfRIgQIAAAQIECiSQyqaMGj061t63NlI5FY0AAQLHE0jnxixZvDh6ndcr+vXvd7zLvU6AAAECBAgQIECgyQISEE2mcyMBAgQIECBAIB8C1wy/Jrqc0iVSORWNAAECxxNYMG//+TGTp0493qVeJ0CAAAECBAgQINAsAQmIZvG5mQABAgQIECDQ9gKpfMq48ROyciprVq9p+4BEQIBAbgU2P7U5Vq5YEVcPGRLpHBmNAAECBAgQIECAQGsKSEC0pq6+CRAgQIAAAQIFEhg4aGBWTmXe3DmRyqtoBAgQOJLA7Fmzsh1Tw0eOONLLniNAgAABAgQIECDQogISEC3KqTMCBAgQIECAQNsJpHIqO1/cGbctva3tgjAyAQK5Fdi4YWOsr66OESNHRjo/RiNAgAABAgQIECDQ2gISEK0trH8CBAgQIECAQIEEUjmVAZcMiEULF0ZtbW2BRjUMAQLFIJB2Rk276cbo3qN7DBo8uBhCFiMBAgQIECBAgEAJCEhAlMAimgIBAgQIECBAoF5g3IQJ2cOpk6fUP+UrAQIEYvWqVdk5Mdd9bkykc2M0AgQIECBAgAABAoUQkIAohLIxCBAgQIAAAQIFEkhlVSZNmZyVWUnlVjQCBAikHVFLFi+OvlVV0a9/PyAECBAgQIAAAQIECiYgAVEwagMRIECAAAECBAojkMqrdDmlS1ZupTAjGoUAgTwLLF28JDsfZuKkSXkOU2wECBAgQIAAAQIlKCABUYKLakoECBAgQIBAeQuk8irTbp6elVtZvmxZeWOYPYEyF6ipqYmVK1bE1UOGRM8ze5a5hukTIECAAAECBAgUWkACotDixiNAgAABAgQIFEAglVlJ5VZS2ZV0+KxGgEB5CixaeGu2I2rMuLHlCWDWBAgQIECAAAECbSogAdGm/AYnQIAAAQIECLSewKjR12ZlVxbMm996g+iZAIHcCqy7f112HsyIkSMdPJ3bVRIYAQIECBAgQKC0BSQgSnt9zY4AAQIECBAoY4HKysqs7Eoqv5LKsGgECJSPQNr5dP3np0b3Ht1j6LBh5TNxMyVAgAABAgQIEMiVgARErpZDMAQIECBAgACBlhUYPnJEVn4llWHRCBAoH4HVq1ZlO6Cuv+HG8pm0mRIgQIAAAQIECOROQAIid0siIAIECBAgQIBAywlUVFREKr+yvro6UjkWjQCB0heora2NWTNmZufA9O7Tu/QnbIYECBAgQIAAAQK5FZCAyO3SCIwAAQIECBAg0DICqfxKKsNyyxcWOJC6ZUj1QiDXAvPmzMnimz5zRq7jFBwBAgQIECBAgEDpC0hAlP4amyEBAgQIECBAIFIZlq1btkYqy6IRIFC6Aum8l7X3rY1Ro0dH2gGlESBAgAABAgQIEGhLAQmIttQ3NgECBAgQIECgQAKpDEvfqqpYsnhxpPIsGgECpSkwfuzY7NyXa4ZfU5oTNCsCBAgQIECAAIGiEpCAKKrlEiwBAgQIECBAoOkCEydNyg6lrS/P0vSe3EmAQB4F1qxek+10Gjd+QnTs2DGPIYqJAAECBAgQIECgzAQkIMpswU2XAAECBAgQKF+Bnmf2jKuHDMnKs6QyLRoBAqUjsHv37pg3d070Oq9XDBw0sHQmZiYECBAgQIAAAQJFLSABUdTLJ3gCBAgQIECAQOMExozbX55l5vTpjbvR1QQI5FrgtqW3ZTucJk+dmus4BUeAAAECBAgQIFBeAhIQ5bXeZkuAAAECBAiUuUAqy5LKs2x6bFOsu39dmWuYPoHSEEjnuixauDAGXDIgKisrS2NSZkGAAAECBAgQIFASAif8rq41ZCY9unbLLtuyfVtDLncNAQIECBAgQIBAjgUuuvDC2LlzZzy8YUOr1orfWz0h3vWpO2NPQy3anxtXjPlwvO2sD8bVVd2iXUPvcx2BMhYY+qlPx/rq6vjeo9+PioqKMpYwdQIECBAgQIAAgdYQaE5uwA6I1lgRfRIgQIAAAQIEci4wd/78rFzL6lWr8hXp3sfjrtkzY/qn/ir6fHpZ1Ozal6/4REMgZwIbN2zMkg+TpkyWfMjZ2giHAAECBAgQIEAgQgLCu4AAAQIECBAgUIYCqUxL36qqmDVjZqTyLflre6P2oZkx+OovxmOSEPlbHhHlRmDaTTdGl1O6xKDBg3MTk0AIECBAgAABAgQI1AtIQNRL+EqAAAECBAgQKDOB6TNnZDOeOnlKYWZ+7uR4qK6cZyrpeeR/T8ZDt98c4688N9ofiGjv40vjc0t/GPZBFGaJjFJcAsuXLYutW7bGtJunt2opteJSES0BAgQIECBAgECeBCQg8rQaYiFAgAABAgQIFFAg1YofNXp0Vr6lpqamgCMfbagO0bXqEzF87u3x1ZGVB5IQe+PZb/5TPC4DcTQ0z5epwO7du2PJ4sXZTqZ+/fuVqYJpEyBAgAABAgQI5F1AAiLvKyQ+AgQIECBAgEArClwz/JqsfMv4sWNbcZTGdn1qnDf0E9G7fhvEs4/FY8/sbWwnridQ0gIL5u0/x2XU6GtLep4mR4AAAQIECBAgUNwCEhDFvX6iJ0CAAAECBAg0S6Bjx45Z+ZZUxmXN6jXN6qtFbz6pS5zarkV71BmBkhHY/NTmWLliRVw9ZEik81w0AgQIECBAgAABAnkVkIDI68qIiwABAgQIECBQIIFUvqXXeb1i3tw5kcq65KK9tDN21JddOv28OO+t9dshchGdIAi0qcDsWbOynUvDR45o0zgMToAAAQIECBAgQOB4AhIQxxPyOgECBAgQIECgDAQmT50aO1/cGbctvS0Hs90TW+69KzZmVZfax+kf+WCcazdEDtZFCHkQWHf/uuzclhEjR0Y6x0UjQIAAAQIECBAgkGcBCYg8r47YCBAgQIAAAQIFEkhlXAZcMiAWLVwYqbxL27R9satmbSwdPzD6z3g0Uv6h/bnD4wvD3xXyD22zIkbNl0DaoXTLFxZE9x7dY9DgwfkKTjQECBAgQIAAAQIEjiDw+iM85ykCBAgQIECAAIEyFBg3YUKsvW9tpPIuy2//UssLPD4zLuw6s4H9dop3fnx2fPHmftFV9qGBZi4rdYHVq1ZFOq/lyytXRjq/RSNAgAABAgQIECCQdwE7IPK+QuIjQIAAAQIECBRIIJVzmTRlclbeZeOGjQUa9WjD7IkXfvlEbHp8x9Eu8DyBshKora2NJYsXR9+qqujdp3dZzd1kCRAgQIAAAQIEildAAqJ4107kBAgQIECAAIEWF0hlXVJ5l2k33djifTeuw71R+9CSGFdXFmrEPVui/jzqxvXhagKlI7B08ZLsnJaJkyaVzqTMhAABAgQIECBAoOQFJCBKfolNkAABAgQIECDQcIFU1uW6z43JyrwsX7as4Tc25MpzJ8dD27fFlmP8+9n622PqlGuiqqL9gR6fjQfHfDqmVL/QkBFcQ6AkBWpqamLlihVx9ZAh0fPMniU5R5MiQIAAAQIECBAoTQEJiNJcV7MiQIAAAQIECDRZoF//flmZl1TuJZV9KWRr161v/M2wSbHs24viioNJiKfjrutvjxrbIAq5FMbKkcDM6dOjyyldYsy4sTmKSigECBAgQIAAAQIEji8gAXF8I1cQIECAAAECBMpOYNToa7NyL6nsS5u0zlUxbtwFUb8PIp6tjgcf/682CcWgBNpSYN3962LTY5tixMiRDp5uy4UwNgECBAgQIECAQJMEJCCaxOYmAgQIECBAgEBpC1RWVmblXlLZl1T+pfCtXZx6wcXR+2AG4j/iqa27Ch+GEQm0ocDu3bvj+s9Pzc5lGTpsWBtGYmgCBAgQIECAAAECTROQgGiam7sIECBAgAABAiUvkMq9pLIvixbe2jZzPalLnNqufug98cKLu+u/8ZVAWQisXrUq24k0d/78spivSRIgQIAAAQIECJSegARE6a2pGREgQIAAAQIEWkQgHUidyr6sr66OVAam4O2lnbHj4LkPnePsHn9c8BAMSKCtBNL5K7NmzMzOY0k7kjQCBAgQIECAAAECxSggAVGMqyZmAgQIECBAgECBBFLZl+49usctX1gQqRxM4dq+2PHwt2Pj3voR3xI9u/1R/Te+Eih5gamTp2RznD5zRsnP1QQJECBAgAABAgRKV0AConTX1swIECBAgAABAi0icP0NN8bWLVsjlYMpWNtVHfPmPRz1+Yf2vS6Kvm89eCBEwcIwEIG2EEjnrqSdR6NGj46Kioq2CMGYBAgQIECAAAECBFpEQAKiRRh1QoAAAQIECBAoXYHefXpnZWBSOZhUFqZV266auHfZrBh28ai4q7Y+/XBGDLh2QPQ4eB5Eq0agcwJtLjB+7P7zV64Zfk2bxyIAAgQIECBAgAABAs0ReH1zbnYvAQIECBAgQIBAeQhMnDQp+4vseXPmxIJbbmnapB+fGRd2ndnIe9tHxZVTYmLVmxp5n8sJFKfAmtVrsh1HCxctinQOi0aAAAECBAgQIECgmAXsgCjm1RM7AQIECBAgQKBAAj3P7JmVg1l739pI5WEK006Pqimr4v65F0XnwgxoFAJtKpDOWZk3d070Oq9X9Ovfr01jMTgBAgQIECBAgACBlhCwA6IlFPVBgAABAgQIECgDgVQO5mtf/YeYOX163HXPPa00407xziuHxYfPfEucd8VHorKzukutBK3bHArctvS22Pnizlj2pS/lMDohESBAgAABAgQIEGi8gARE483cQYAAAQIECBAoS4FUDmbc+AkxeeLEWHf/ugb9hXb7qjnx4+1zytLLpAk0RmDzU5tj0cKFMeCSAVFZWdmYW11LgAABAgQIECBAILcCSjDldmkERoAAAQIECBDIn8DAQQOje4/ucf3np0YqF6MRINAyArNnzco6GjdhQst0qBcCBAgQIECAAAECORCQgMjBIgiBAAECBAgQIFBMAnPnz8/KxKRyMRoBAs0X2LhhY3bI+6Qpk6OioqL5HeqBAAECBAgQIECAQE4EJCByshDCIECAAAECBAgUi0AqD9O3qiorF1NbW1ssYYuTQG4Fpt10Y7azaNDgwbmNUWAECBAgQIAAAQIEmiIgAdEUNfcQIECAAAECBMpcYPrMGZnA1MlTylzC9Ak0T2D5smWxdcvWuO5zYyKds6IRIECAAAECBAgQKCUBCYhSWk1zIUCAAAECBAgUSCCViUnlYtZXV0dNTU2BRjUMgdISSOeoLFm8ONtR1K9/v9KanNkQIECAAAECBAgQqBOQgPA2IECAAAECBAgQaJJAKhfT5ZQuMX7s2Cbd7yYC5S6wYN7+81RGjb623CnMnwABAgQIECBAoEQFJCBKdGFNiwABAgQIECDQ2gKpXMy0m6dn5WPWrF7T2sPpn0BJCaSdQytXrIirhwyJdK6KRoAAAQIECBAgQKAUBSQgSnFVzYkAAQIECBAgUCCBVDam13m9Yt7cOZHKyWgECDRMYNHCW7MdRMNHjmjYDa4iQIAAAQIECBAgUIQCEhBFuGhCJkCAAAECBAjkSWDy1Kmx88WdkcrJaAQIHF9g3f3rsvNTRowcGek8FY0AAQIECBAgQIBAqQqc8Lu61pDJ9ejaLbtsy/ZtDbncNQQIECBAgAABAmUkMOa662LtfWvjHx98MJv1N77xjdjwyCPxxOOPH1T4wF/+ZbyrrtTMx6/6uA9dD6p4UEoCaRfQ/d+6Px5Yty4e/9GP4te//nU2vbe+9a1xQd++UXXhhVHZqzIu+djHsucffOihUpq+uRAgQIAAAQIECJSoQHNyAxIQJfqmMC0CBAgQIECAQCEFamtro9/FF8fr270+duzYkQ3dtXv3+OM//pM4sUOH+O2ePfHMM09H7fPPZ69d9clPxPgJEyKdI6ERKAWB5cuWRSqr9NJLL0XnLqfEGV27xkknn5xN7efpvf+LX8Se3/ymruzSKXU7hl6ML69cGb379C6FqZsDAQIECBAgQIBAiQs0JwHx+hK3MT0CBAgQIECAAIECCOx+eXe88ttX4te/+XX0vqBvnH3O26NTp06vGfnll1+Of3n0+/HVr/xDfHfDxrht+fLoeWbP11znCQLFIpB2PQz55NXxw7pDpVPSrd9HPxannfbmw8J/z3vfF6+88tv4yZNP1r3vH8leSz8LGgECBAgQIECAAIFSF7ADotRX2PwIECBAgAABAq0ssPmpzXHFZZfFK3v3xsDBV8Wpb3zjcUfcvm1rPPCtb8YbTjwxNnx3o50QxxVzQV4FLrvk0iz5kBJvKdFwvJYSEXffuSbbDbRw0aJIB7lrBAgQIECAAAECBPIs0JwdEA6hzvPKio0AAQIECBAgUAQC48eNi72NSD6kKXXt1j0+dtnl8etdu+L/XDu6CGYpRAKvFUhll9LOhw/+1cUNSj6kHt7whhPj8isHRsVpp8WUyZMjlS/TCBAgQIAAAQIECJSqgAREqa6seREgQIAAAQIECiCw7v518aMf/jA+0Of8Bu18ODSkVKYm/dX4Iw8/HDV1H+JqBIpJICUOZs2YmZVdOvfP3tWo0FMS4q8u7hcv1R1S/fd1uyA0AgQIECBAgAABAqUqIAFRqitrXgQIECBAgACBAgjMnzs3O3C3sR/A1of2Z+96V3T4gz+IFV/+cv1TvhIoCoFHHt5/lsP7/+IDTYo3lSr7s8pe2Xko6RwJjQABAgQIECBAgEApCkhAlOKqmhMBAgQIECBAoAAC6S/An3766Xj3e9/b5NHSX4K/7exz4ptf/0aT+3AjgbYQeGDduiz59vsHTjcmlnPe8Y7s8g2PbGjMba4lQIAAAQIECBAgUDQCEhBFs1QCJUCAAAECBAjkS+AXv/hFFtAb3/SmZgV2+lvekt2vDFOzGN1cYIGNGzbEWW97W7NGrU9ePP/8c83qx80ECBAgQIAAAQIE8irw+rwGJi4CBAgQIECAAIF8C/zspz/LAuzU6aRmBdrppP33X37Jpc3qx80ECi1wYocOhR7SeAQIECBAgAABAgSKSkACoqiWS7AECBAgQIAAgfwIdOrUKQvm5ZdfivrHzYnu6iFD4s2nv7k5XbiXQMEE0gHUGgECBAgQIECAAAECxxaQgDi2j1cJECBAgAABAgSOIvCnp/1p9sorv/3tUa5o2NO/euGF7MLhI0dERUVFw25yFYE2Fvj7WxfFC7/8ZbOieOWV5v3sNGtwNxMgQIAAAQIECBAogIAzIAqAbAgCBAgQIECAQCkKnHnmmdm0tmze3KzpPfvMM3HSySdLPjRL0c2FFuhzwfmxffu2Zg27bevW7P7z3v3uZvXjZgIECBAgQIAAAQJ5FZCAyOvKiIsAAQIECBAgkHOBjh07xkc+9tH42U+ejKb+JffLL78cP3ny32PAgAE5n63wCBwu8KEP/VXs+c1v4qd17/+mth//2xNxcl3yrbKysqlduI8AAQIECBAgQIBArgUkIHK9PIIjQIAAAQIECORbYMj//t/xm7oPYTc+8kiTAn3wHx/I7kvllzQCxSTQr3+/OOOMM+KhB7/TpATc4z/6YWyv2wHxmWtHFdO0xUqAAAECBAgQIECgUQISEI3icjEBAgQIECBAgMChAukvt6/65CfiRzWbGv2X4OmD2/QB7KQpk5VfOhTV46IRWPDFW7JdEHffuaZRSYgdv/pVfG/DI/HOc8+NQYMHF818BUqAAAECBAgQIECgsQISEI0Vcz0BAgQIECBAgMBhAuMnTIh31SUi7v/G1+O7dR+qHq+lck0p+ZCSFil5MXTYsOPd4nUCuRRICbiFixZF7fPPR0pCpJJix2upZNOdq74abzjxxJi/YEGkUmYaAQIECBAgQIAAgVIVOOF3da0hk+vRtVt22ZZmHrTWkLFcQ4AAAQIECBAgUFwCu3fvjqlTpsQ3v/6N6NzllPhA795x2ptPj06dOh2cSP15Dz/4f49mfzWekg/Tbr754OseEChWgXX3r4vRo/aXUvqzyl51Cbleceob33hwOinplg6cTmc+pF0/aedDSj70PLPnwWs8IECAAAECBAgQIJBXgebkBiQg8rqq4iJAgAABAgQIFKFA+iB2/ty58fTTT2fRd/iDP4iKP/3T7EPX+ul07do1bpw2LXr36V3/lK8Eil5g81ObY+aMGfHIww8fnEvFaafVJdv2xK6dL2bPnVR34PSoujMfUtklOx8OMnlAgAABAgQIECCQcwEJiJwvkPAIECBAgAABAuUmkD6Mffjh9fHcs8/Fz3/+83j7O94RJ53UKS64oK+/+i63N0OZzbe2trYuCfFIPPfcc/HvP/5xnHzySXHO298eb3vb2ZJuZfZeMF0CBAgQIECAQKkISECUykqaBwECBAgQIECAAAECBAgQIECAAAECBAgQyJFAcxIQDqHO0UIKhQABAgQIECBAgAABAgQIECBAgAABAgQIlIqABESprKR5ECBAgAABAgQIECBAgAABAgQIECBAgACBHAlIQORoMYRCgAABAgQIECBAgAABAgQIECBAgAABAgRKRUAColRW0jwIECBAgAABAgQIECBAgAABAgQIECBAgECOBCQgcrQYQiFAgAABAgQIECBAgAABAgQIECBAgAABAqUiIAFRKitpHgQIECBAgAABAgQIECBAgAABAgQIECBAIEcCEhA5WgyhECBAgAABAgQIECBAgAABAgQIECBAgACBUhGQgCiVlTQPAgQIECBAgAABAgQIECBAgAABAgQIECCQIwEJiBwthlAIECBAgAABAgQIECBAgAABAgQIECBAgECpCEhAlMpKmgcBAgQIECBAgAABAgQIECBAgAABAgQIEMiRgAREjhZDKAQIECBAgAABAgQIECBAgAABAgQIECBAoFQEXl8qEzEPAgQIECBAgACBEhDYty3Wr/in2PLC/4s7Fj8UtYdOqf25ccWYD0fPN707Lr+sMjof+prHBEpBwPu/FFbRHAgQIECAAAECBA4ROOF3de2Q74/6sEfXbtlrW7ZvO+o1XiBAgAABAgQIECDQJIFdNXHv0kWx4PeTDkfrrOLCGDVzSvxtVbdod7RrPE+gWAS8/4tlpcRJgAABAgQIEChLgebkBiQgyvItY9IECBAgQIAAgbwI7IntD86Jz37my/HE3sbG1Cne+fHZ8cWb+0VXWYjG4rk+FwLe/7lYBkEQIECAAAECBAgcU6A5CQglmI5J60UCBAgQIECAAIHWE6j78PWecXHVmG8dXmqpbnfD8E9fEO/54OXRt1uHA8Pvi10134y7v/OtQ0ozvRxPfO2zcdV/t4/7516kJFPrLZSeW0XA+79VWHVKgAABAgQIECCQKwE7IHK1HIIhQIAAAQIECJSLwBE+fE1nPMy4MSZeeezzHfZtWxfX/+3EWP34ywewzogrbr8rZle9qVzwzLPoBbz/i34JTYAAAQIECBAgUEYCzdkB8boycjJVAgQIECBAgACBnAjs2/KVGDvxkJ0PFRfFpDtvj9nHST6k8Nt16xczVi6IKyraH5jN03HX5Fti/a59OZmdMAgcW8D7/9g+XiVAgAABAgQIECgdAQmI0llLMyFAgAABAgQIFIfAvp/EHeMWRk39mQ/t3x+Tvvp3MbTy1IbH37kqJs68PCrq76h9IL720C/rv/OVQH4FvP/zuzYiI0CAAAECBAgQaHEBCYgWJ9UhAQIECBAgQIDA0QXqznJ4ZGXcsam+fFKnqBx/Q/xNj/qzHo5+5+GvtIvO518WHzu9fhfErti47tHYcfhFviOQMwHv/5wtiHAIECBAgAABAgRaWUACopWBdU+AAAECBAgQIHCowC+j+qsPvHro9OlXxZRPnR3tDr2koY/bnRMXfaTbwav3/vSpeEYVpoMeHuRRwPs/j6siJgIECBAgQIAAgdYTkIBoPVs9EyBAgAABAgQI/L7AjkfjgQ27DjzbOaqu+2RUNin7kLo4Md7a84yo3wMRv3oxdv3P7w/oewI5EvD+z9FiCIUAAQIECBAgQKAQAhIQhVA2BgECBAgQIECAQJ3Avtjx8Ldj48GzH94Tf33BnzRDpl2c1KVL03ZPNGNUtxJomoD3f9Pc3EWAAAECBAgQIFDMAhIQxbx6YidAgAABAgQIFJXAb+OZzU9Hff4hznlP9Dq1ydsfimrmgiUQ4f3vXUCAAAECBAgQIFB+AhIQ5bfmZkyAAAECBAgQaCOBXbHtZ/9xcOwOZ/eMNx/8rikP9sZzW7bFnqbc6h4CBRfw/i84uQEJECBAgAABAgTaXEACos2XQAAECBAgQIAAgXIR2B0vvlCfLugQZ5755lfPb2gSwX/Gtqd+/uqdZ/WMbgcPhHj1aY8I5EPA+z8f6yAKAgQIECBAgACBQgq8vpCDGYsAAQIECBAgQCBnAnvXx8R3firuqs8LNCu8irji9gdidlXnZvXS4Jv3bYkf/POOA5e3j9M/0Cve0uCbXVj2AsX83k+L5/1f9m9hAAQIECBAgACBYhCwA6IYVkmMBAgQIECAAIGSEOgYp7ypw4GZ7IudL75cdyx1U9u+2PXIPfH1Z+tPlOgW/T90jgOpm8rpvgIIeP8XANkQBAgQIECAAAECOROQgMjZggiHAAECBAgQIFC6Ap2j21l/fGB6e+OXP3s6djV1svueirtv/VbU1t9/elVcdO4f1n/nK4EcCnj/53BRhESAAAECBAgQINDKAkowtTKw7gkQIECAAAECuRZo3zdm/2RbzC5IkCfGW3ueUXfuw88i7VvYu+Hb8ciOj8Wlp7Y74uj7ttwRo+b8R3xo5NC4tPLUQ65Jux9Wxh2bXj7wXOeouu6TUXnkbg65z0MChwgU9L2fxvX+P0TfQwIECBAgQIAAgTIRsAOiTBbaNAkQIECAAAECbS/QLk694OLoXX9Q9N6HY8Gc6qPsgvivePzu1fHgd5bEuEsGxIh7thws17Rv2z0xcfLdB3c/tO/1mZg44LS2n54ICBxTwPv/mDxeJECAAAECBAgQKEkBCYiSXFaTIkCAAAECBAjkVODU3vHxS844ENzeqL1zRsyufuG1we76Xqy5b9uB55+NB8dcEpfN+X7s2HZnjBo8NR6sPXD2Q/v3x9h5n4wedj+81tAz+RPw/s/fmoiIAAECBAgQIECgVQVO+F1da8gIPbp2yy7bsr3+/wg25C7XECBAgAABAgQIEDhcYN+WZTHw4plRU39+dJweVVO+GPOGnRedD15aV2ap5puxZtUdccudj2clmw6+VP+gfWUMX70sxp93aHmm+hd9JZBPAe//fK6LqAgQIECAAAECBI4u0JzcgB0QR3f1CgECBAgQIECAQCsItOvxyZg/+8NRcbDvZ6N6xuXx/o9OiKX31BwoydQuOlcOiOGzvhiLr73wkGsP3CT5cFDPg+IS8P4vrvUSLQECBAgQIECAQPME7IBonp+7CRAgQIAAAQIEmiSwJ7bfMy6uGvOtg2c5NLybirji9gdidtWr+yUafq8rCeRBwPs/D6sgBgIECBAgQIAAgYYJ2AHRMCdXESBAgAABAgQI5EagQ3S9bGFsWH9bjLrw9EZGVRt3Df9UzH1sRyPvczmBvAh4/+dlJcRBgAABAgQIECDQugJ2QLSur94JECBAgAABAgQaIrCrJu6961/jhae+9XtnPtSdDzHyE/G+nu+Nyy87J3Ys+5voP+PRA2dCdIp3Xjk5bph8RVR2dgp1Q5hdk1MB7/+cLoywCBAgQIAAAQIEkkBzdkBIQHgPESBAgAABAgQIFJHAC7F+/BUx9M6nD8R8Vgy/774YX/mHRTQHoRJoqoD3f1Pl3EeAAAECBAgQINB0geYkIBxC3XR3dxIgQIAAAQIECBRc4E3Rd9aXYt6H9pdtan/h8Pi05EPBV8GAbSXg/d9W8sYlQIAAAQIECBBomsDrm3abuwgQIECAAAECBAi0kUC7HnHpbWvjjDkz45EPXRyntlEYhiXQJgLe/23CblACBAgQIECAAIGmCSjB1DQ3dxEgQIAAAQIECBAgQIAAAQIECBAgQIAAgZIXUIKp5JfYBAkQIECAAAECBAgQIECAAAECBAgQIECAQHEJKMFUXOslWgIECBAgQIAAAQINEti3bX2s/KdH45+/dEdU1+599Z7258YVYwbEe9/30bi0UgGrV2E8IkCAAAECBAgQIECgpQWUYGppUf0RIECAAAECBAgQaEuBfdti/S0zYuqtD0XtMePoFO/8+Oz44s39omu7Y17oRQIECBAgQIAAAQIEyligOSWY7IAo4zeOqRMgQIAAAQIECJSYwL4tce/I/x3jvvNsAyb2cjzxtc/GVf/dPu6fe1F0bsAdLiFAgAABAgQIECBAgEBjBF7XmItdS4AAAQIECBAgQIBAXgX2xJbbp8bkg8mH06Nq5E2xfP2TsWX7tgP/Nsdj990S4688N9pn09gbtXcui7u3HVKiKa/TExcBAgQIECBAgAABAkUnYAdE0S2ZgAkQIECAAAECBAgcQWDHupg999HYn0o4PS5a8OVYdFmPOLy6UrvoXDkghp/7lvj1Pw+Opc+mq38em7f9Z0Q3eyCOoOopAgQIECBAgAABAgSaIWAHRDPw3EqAAAECBAgQIEAgHwJ1ux/uvSs2ZtmH9lFx5fUx+zXJh0MibdcpTjnl8NTEIa96SIAAAQIECBAgQIAAgRYRsAOiRRh1QoAAAQIECBAgQKAtBTpEj2Gr4ifDGhBDOqT69i/Ft57cc+Dit0TPbn/UgBtdQoAAAQIECBAgQIAAgcYJSEA0zsvVBAgQIECAAAECBHIssCNq7vlGPPbiK/Hio/8QSx9qwGHUHbpFj9P3nwiR44kJjQABAgQIECBAgACBIhSQgCjCRRMyAQIECBAgQIAAgcMF9sT26sUxY/LiqK5t5IHSZ/WMbvIPh3P6jgABAgQIECBAgACBFhGQgGgRRp0QIECAAAECBAgQaCuBfbGrelpc9alVUXusENqfG1eM+XD0bPc/h+yOaB+nf6BXvOVY93mNAAECBAgQIECAAAECTRSQgGginNsIECBAgAABAgQI5EJgV3XMnnz3q8mHigtj+KcviPd88PLo263DEUJ8Pu59dMmB5/8ozur5p+E46iMweYoAAQIECBAgQIAAgWYLSEA0m1AHBAgQIECAAAECBNpOYO+mf4pv1pddqhgcy799c/TtfIyUwo5H44ENuw4E/MdxZvfObRe8kQkQIECAAAECBAgQKGmB15X07EyOAAECBAgQIECAQEkL7I3ntmyLPQfm2KHPRfGXx0o+xAuxfs7fRXX9MREd3hXv+V9/WNJCJkeAAAECBAgQIECAQNsJSEC0nb2RCRAgQIAAAQIECLSowL7Nm+OZfUfrckfULJsSU+98+tULHED9qoVHBAgQIECAAAECBAi0uIAERIuT6pAAAQIECBAgQIBAoQTax1vefV6cfmC4vZsWxphJy2L9tvo9EXUv7NsW629fGBM/2jcun/Hgq2dF1L3U4eye8eZChWocAgQIECBAgAABAgTKTsAZEGW35CZMgAABAgQIECBQSgLtzv1YfLLXV2PWppfrpvVyPHHnzBha908jQIAAAQIECBAgQIBAWwvYAdHWK2B8AgQIECBAgAABAs0RaHd2DL19aQw/t9Nxejk9qq69LR5YdmV0OHDlvh0746Xj3OVlAgQIECBAgAABAgQINFXADoimyrmPAAECBAgQIECAQF4EOv95jL/v6/GeFavja7fdEdW19adMR7Q/98q47iPvjLM+eHn07dYh9tVsijfWxf1s3b+9P30qOzPi1HZ5mYg4CBAgQIAAAQIECBAoJYETflfXGjKhHl27ZZdt2b6tIZe7hgABAgQIECBAgAABAgQIECBAgAABAgQIEChygebkBpRgKvLFFz4BAgQIECBAgAABAgQIECBAgAABAgQIEMijgAREHldFTAQIECBAgAABAgQIECBAgAABAgQIECBAoMgFJCCKfAGFT4AAAQIECBAoB4F196+LoZ/6dKSvGoHWFhhz3XVx0w03Rm1tbWsPpX8CBAgQIECAAAECJS0gAVHSy2tyBAgQIECAAIHiFkgJh4suvDBGjxoVTz+9Pc4666zinpDoi0LgnLe/PVauWBEfeP+fS0QUxYoJkgABAgQIECBAIK8CEhB5XRlxESBAgAABAgTKWODQxENiWLhoUTz40EPR88yeZaxi6oUSGDpsWHzv0e/H1UOGSEQUCt04BAgQIECAAAECJSlwwu/qWkNm1pyTrhvSv2sIECBAgAABAgQIpMTDLV9YEFu3bI3uPbrHdZ8bE/369wNDoM0EUhmmpYuXZImIFERKSgwfOSIqKiraLCYDEyBAgAABAgQIECikQHNyAxIQhVwpYxEgQIAAAQIECBxRQOLhiCyezJGARESOFkMoBAgQIECAAAECBRWQgCgot8EIECBAgAABAgRaSkDioaUk9VMoAYmIQkkbhwABAgQIECBAIC8CEhB5WQlxECBAgAABAgQINEhA4qFBTC7KsYBERI4XR2gECBAgQIAAAQItKiAB0aKcOiNAgAABAgQIEGgtAYmH1pLVb1sJSES0lbxxCRAgQIAAAQIECiUgAVEoaeMQIECAAAECBAg0SUDioUlsbioiAYmIIlosoRIgQIAAAQIECDRKQAKiUVwuJkCAAAECBAgQKKRA/f9YLeSYxiKQF4Evr1wZvfv0zks44iBAgAABAgQIECDQaIH6/0+3Zfu2Rt/7ukbf4QYCBAgQIECAAAECBAgQOK5Al1O6HPcaFxAgQIAAAQIECBAoZYHXl/LkzI0AAQIECBAgQKDtBdJfyShP0/brIILWFaipqYlFC2+N9dXVkRIPI0aOjEGDB0fHjh1bd2C9EyBAgAABAgQIEMixwAm/q2sNia852ywa0r9rCBAgQIAAAQIESl9AIqL017jcZijxUG4rbr4ECBAgQIAAgfITaE5uQAKi/N4vZkyAAAECBAgQaHMBiYg2XwIBNFNA4qGZgG4nQIAAAQIECBAoGgEJiKJZKoESIECAAAECBAgcKiARcaiGx8UgIPFQDKskRgIECBAgQIAAgZYUkIBoSU19ESBAgAABAgQIFFxAIqLg5AZspIDEQyPBXE6AAAECBAgQIFAyAhIQJbOUJkKAAAECBAgQKG8BiYjyXv88zl7iIY+rIiYCBAgQIECAAIFCCkhAFFLbWAQIECBAgAABAq0uIBHR6sQGOI6AxMNxgLxMgAABAgQIECBQNgISEGWz1CZKgAABAgQIECgvgd9PRHx55cro3ad3eSGYbcEFxlx3Xay9b210OaVLjBg5MgYNHhwdO3YseBwGJECAAAECBAgQIJAHAQmIPKyCGAgQIECAAAECBFpNICUivvbVr0Xfqr5RWVnZauPomEAS+MKCL8RJJ3WSePB2IECAAAECBAgQIFAnIAHhbUCAAAECBAgQIECAAAECBAgQIECAAAECBAi0uEBzEhCva/FodEiAAAECBAgQIECAAAECBAgQIECAAAECBAiUvYAERNm/BQAQIECAAAECBAgQIECAAAECBAgQIECAAIGWF5CAaHlTPRIgQIAAAQIECBAgQIAAAQIECBAgQIAAgbIXkIAo+7cAAAIECBAgQIAAAQIECBAgQOD/t28HpxEDQBAEObhAzlz+MdpOQTDsp8tve4RK+2tMgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIG8MGhwAABxpJREFUECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2Au8n05+Pz9P/8TvEyBAgAABAgQIECBAgAABAgQIECBAgAABAjEB/wER++BelwABAgQIECBAgAABAgQIECBAgAABAgQIXAi8fv9/Lh7kGQQIECBAgAABAgQIECBAgAABAgQIECBAgEBHwH9AdL61NyVAgAABAgQIECBAgAABAgQIECBAgAABAmcCAsQZtQcRIECAAAECBAgQIECAAAECBAgQIECAAIGOgADR+dbelAABAgQIECBAgAABAgQIECBAgAABAgQInAkIEGfUHkSAAAECBAgQIECAAAECBAgQIECAAAECBDoCAkTnW3tTAgQIECBAgAABAgQIECBAgAABAgQIECBwJiBAnFF7EAECBAgQIECAAAECBAgQIECAAAECBAgQ6AgIEJ1v7U0JECBAgAABAgQIECBAgAABAgQIECBAgMCZgABxRu1BBAgQIECAAAECBAgQIECAAAECBAgQIECgIyBAdL61NyVAgAABAgQIECBAgAABAgQIECBAgAABAmcCAsQZtQcRIECAAAECBAgQIECAAAECBAgQIECAAIGOgADR+dbelAABAgQIECBAgAABAgQIECBAgAABAgQInAkIEGfUHkSAAAECBAgQIECAAAECBAgQIECAAAECBDoCAkTnW3tTAgQIECBAgAABAgQIECBAgAABAgQIECBwJiBAnFF7EAECBAgQIECAAAECBAgQIECAAAECBAgQ6AgIEJ1v7U0JECBAgAABAgQIECBAgAABAgQIECBAgMCZwB9Odj3yF28z2wAAAABJRU5ErkJggg==" alt></p>
<p>P is at the centre of the hexagon.</p>
<p>(i) Show, using Coulomb’s law, that the magnitude of the electric field strength at point P due to <strong>one</strong> of the point charges is</p>
<p>\[\frac{{kQ}}{{{a^2}}}\]</p>
<p>(ii) On the diagram, draw arrows to represent the direction of the field at P due to point charge A (label this direction A) and point charge B (label this direction B).</p>
<p>(iii) The magnitude of <em>Q</em> is 3.2 μC and length <em>a</em> is 0.15 m. Determine the magnitude and the direction of the electric field strength at point P due to all six charges.</p>
<div class="marks">[8]</div>
<div class="question_part_label">e.</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 src="data:image/png;base64,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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>