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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 energy resources. <strong>Part 2 </strong>is about electric fields.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1</strong> Energy resources</p>
</div>
<div class="specification">
<p class="p1">A photovoltaic panel is made up of a collection (array) of photovoltaic cells. The panel has a total area of \({\text{1.3 }}{{\text{m}}^{\text{2}}}\) and is mounted on the roof of a house. The maximum intensity of solar radiation at the location of the panel is \({\text{750 W}}\,{{\text{m}}^{ - 2}}\). The panel produces a power output of 210 W when the solar radiation is at its maximum intensity.</p>
</div>
<div class="specification">
<p class="p1">The owner of the house chooses between photovoltaic panels and solar heating panels to provide 4.2 kW of power to heat water. The solar heating panels have an efficiency of 70%. The maximum intensity of solar radiation at the location remains at \({\text{750 W}}\,{{\text{m}}^{ - 2}}\).</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2</strong> Electric fields</p>
<p class="p1">An isolated metal sphere is placed in a vacuum. The sphere has a negative charge of magnitude 12 nC.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_10.12.42.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/06_Part2"></p>
</div>
<div class="specification">
<p class="p1">Outside the sphere, the electric field strength is equivalent to that of a point negative charge of magnitude 12 nC placed at the centre of the sphere. The radius \(r\)<em> </em>of the sphere is 25 mm.</p>
</div>
<div class="specification">
<p class="p1">An electron is initially at rest on the surface of the sphere.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The Sun is a renewable energy source whereas a fossil fuel is a non-renewable energy source. Outline the difference between renewable and non-renewable energy sources.</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">With reference to the energy transformations and the operation of the devices, distinguish between a photovoltaic cell and a solar heating panel.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the efficiency of the photovoltaic panel.</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">State <strong>two </strong>reasons why the intensity of solar radiation at the location of the panel is not constant.</p>
<p class="p1"> </p>
<p class="p1">1.</p>
<p class="p1"> </p>
<p class="p1">2.</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">Calculate the minimum area of solar heating panel required to provide this power.</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">Comment on whether it is better to use a solar heating panel rather than an array of photovoltaic panels for the house. Do not consider the installation cost of the panels in your answer.</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">Using the diagram, draw the electric field pattern due to the charged sphere.</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 class="p1">Show that the magnitude of the electric field strength at the surface of the sphere is about \(2 \times {10^5}{\text{ N}}\,{{\text{C}}^{ - 1}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On the axes, draw a graph to show the variation of the electric field strength \(E\) with distance \(d\) from the centre of the sphere.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_14.39.55.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/06.g.ii"></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the initial acceleration of the electron.</p>
<div class="marks">[2]</div>
<div class="question_part_label">h.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Discuss the subsequent motion of the electron.</p>
<div class="marks">[2]</div>
<div class="question_part_label">h.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><em>renewable sources</em>:</p>
<p class="p1">rate of use/depletion of energy source;</p>
<p class="p1">is less than rate of production/regeneration of source;</p>
<p class="p1"><em>Accept equivalent statement for non-renewable sources.</em></p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">mention of rate of production / usage;</p>
<p class="p1">comparison of sources in terms of being used up/depleted/lasting a long time <em>etc</em>;</p>
<p class="p1"><em>Award </em><strong><em>[1] </em></strong><em>if answer makes clear the difference but does not address the rate of </em><em>production.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">solar heating panel converts solar/radiation/photon/light energy into thermal/heat energy <span style="text-decoration: underline;">and</span> photovoltaic cell converts solar/radiation/photon/light energy into electrical energy; } <em>(both needed)</em></p>
<p class="p1">in solar heating hot liquid is stored/circulated <span style="text-decoration: underline;">and</span> photovoltaic cell generates emf/pd; } <em>(both needed)</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(power available at roof) \( = 1.3 \times 750{\text{ }}( = 975{\text{ W}})\);</p>
<p class="p1">efficiency \( = \left( {\frac{{210}}{{975}} = } \right){\text{ }}0.22\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)22%;</p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">depends on time of day;</p>
<p class="p1">depends of time of year;</p>
<p class="p1">depends on weather (<em>eg </em>cloud cover) at location;</p>
<p class="p1">power output of Sun varies;</p>
<p class="p1">Earth-Sun distance varies;</p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">area of panel \( = \frac{{4200}}{{0.7 \times 750}}\);</p>
<p class="p1">\({\text{8 }}{{\text{m}}^{\text{2}}}\);</p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">calculates area of photovoltaic panels needed as about \({\text{26 }}{{\text{m}}^{\text{2}}}\) / makes a quantitative comparison;</p>
<p class="p1">solar heating takes up less area/more efficient/faster;</p>
<p class="p1">further energy conversion needed, from electrical to thermal, with photovoltaic panels, involving further losses / <em>OWTTE</em>;</p>
<p class="p1"><em>Allow ECF from (d)(i) with appropriate reverse argument.</em></p>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">radial field with arrows <span style="text-decoration: underline;">and</span> direction correct towards the sphere; <em>(both needed)</em></p>
<p class="p1">no field inside sphere;</p>
<p class="p1"><em>At least four lines of force to be shown on diagram.</em></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">use of \(E = \frac{{kQ}}{{{r^2}}}\);</p>
<p class="p1">\(1.73 \times {10^5}{\text{ N}}\,{{\text{C}}^{ - 1}}\); <em>(must see answer to 2</em><span class="s1">+ </span><em>significant figures)</em></p>
<div class="question_part_label">g.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span style="text-decoration: underline;">line drawn</span> showing zero field strength inside sphere;</p>
<p class="p1">decreasing in inverse square-like way from a value of \(2 \times {10^5}{\text{ N}}\,{{\text{C}}^{ - 1}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(1.7 \times {10^5}{\text{ N}}\,{{\text{C}}^{ - 1}}\) at the surface, \(d = 25{\text{ mm}}\);</p>
<div class="question_part_label">g.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">force \( = 1.7 \times {10^5} \times 1.6 \times {10^{ - 19}}\); <em>(allow use of </em>\(2 \times {10^5}{\text{ N}}{{\text{C}}^{ - 1}}\)<em>)</em></p>
<p class="p1">acceleration \( = \left( {\frac{{2.7 \times {{10}^{ - 14}}}}{{9.1 \times {{10}^{ - 31}}}} = } \right){\text{ }}3.0 \times {10^{16}}{\text{ m}}\,{{\text{s}}^{ - 2}}\);</p>
<div class="question_part_label">h.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span style="text-decoration: underline;">radially</span> away from sphere / away from <span style="text-decoration: underline;">centre</span> of sphere;</p>
<p class="p1">velocity increasing but at a decreasing rate / accelerating with decreasing acceleration;</p>
<p class="p1">because (electric) field (strength) is decreasing;</p>
<div class="question_part_label">h.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">It was disappointing to see some candidates sketching very imprecise lines. Most fields were radial, but often with incorrect direction.</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Another “show that” question which often elicited a jumble of numbers. Line of reasoning needs to be clear. Although there were many arithmetic/POT mistakes the field strength was often given correctly.</p>
<div class="question_part_label">g.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">It was extremely rare to find a zero line for the field inside of the sphere. The inverse square drop-off was often very approximate and did not always start from the surface of the sphere. The line should not touch the \(x\)-axis, but often did.</p>
<div class="question_part_label">g.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was done correctly by a minority of candidates with many arithmetic and POT errors.</p>
<div class="question_part_label">h.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Some candidates clearly do not fully understand the difference between velocity and acceleration. It was rare to find that direction of motion was given with precision. Some candidates said that the electron would stop as the field strength approached zero.</p>
<div class="question_part_label">h.ii.</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 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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,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" alt></p>
<div class="marks">[8]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>force per unit charge;</p>
<p>on a positive test charge / on a positive small charge; </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) top plate positive and bottom negative (or +/- and ground);</p>
<p>(ii) <img src="data:image/png;base64,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" alt></p>
<p>uniform (by eye) line spacing and edge effect, field lines touching both plates; </p>
<p>downward arrows (minimum of one and none upward); </p>
<p>(iii) F=2.5×10<sup>3</sup>×1.6×10<sup>-19<br></sup>4.0×10<sup>-16</sup> (N);</p>
<p><em> Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) use of \(F = \frac{{{{\left( {1.60 \times {{10}^{ - 19}}} \right)}^2}}}{{4\pi {\varepsilon _0}{{\left( {5.0 \times {{10}^{ - 3}}} \right)}^2}}}\) <em><strong>or </strong></em>\(F = \frac{{{{\left( {1.60 \times {{10}^{ - 19}}} \right)}^2}}}{{{{\left( {5.0 \times {{10}^{ - 3}}} \right)}^2}}} \times 8.99 \times {10^9}\);</p>
<p>9.2×10<sup>-24</sup>(N); </p>
<p>(ii) 1.0×10<sup>7</sup> (ms<sup>-2</sup>) (9.9×10<sup>6</sup> (ms<sup>-2</sup>) if 9×10<sup>-24</sup> (N) used);</p>
<p>(iii) electron will continue to accelerate;<br>speed increases with acceleration;<br>acceleration reduces with separation;<br>when outside the field no further acceleration/constant speed;<br>any reference to accelerated charge radiating and losing (kinetic) energy; </p>
<p>(iv) minimum of two concentric circles centred on Y;<br>anti-clockwise;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) As this is worth two marks, candidates should see the signal that force per unit charge is unlikely to gain full marks; and so it proved. Although a mark was available for saying this there needed to be a reference to the charge being a positive test charge.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) G2 comments that the term ‘polarity’ was confusing to candidates proved to be unfounded and nearly all candidates marked in a positive and negative terminal – although the actual polarity was often incorrect.</p>
<p>(ii) With error carried forwards, the direction of the field was often correct but the drawing often was below an acceptable standard with line of force not bridging the plates, being very unevenly spaced and having no edge effect.</p>
<p>(iii) This calculation was almost invariably very well done.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) In another ‘show that’ question it was expected that candidates would use Coulombs law and the data value for the electronic charge to give a value of more than one digit; often this was not the case but otherwise this was generally well done <br> <br>(ii) Most candidates used their value for the force (or 9 x 10-24 N) and the mass of the electron on the data sheet to calculate a correct value for the acceleration. <br> <br>(iii) This was an unusual opportunity for candidates to use Newton’s laws and many did say that the acceleration would decrease with distance. Too often they incorrectly believed that this meant that the electron would slow down – it continues to accelerate but at an ever decreasing rate. <br> <br>(iv) Clearly, this part represented a simplification of a complex situation but as set up was not beyond the skills of most of the candidates. The electron represents an instant in which a conventional current would leave the page and the field at this instant would be that of concentric circles with an anti-clockwise (counter-clockwise) direction. Many candidates did draw this but diagrams were too frequently hurriedly drawn and of a poor standard.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about a lightning discharge. <strong>Part 2 </strong>is about fuel for heating.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Lightning discharge</p>
</div>
<div class="specification">
<p class="p1">The magnitude of the electric field strength \(E\) between two infinite charged parallel plates is given by the expression</p>
<p class="p1">\[E = \frac{\sigma }{{{\varepsilon _0}}}\]</p>
<p class="p1">where \(\sigma \) is the charge per unit area on one of the plates.</p>
<p class="p1">A thundercloud carries a charge of magnitude 35 C spread over its base. The area of the base is \(1.2 \times {10^7}{\text{ }}{{\text{m}}^{\text{2}}}\).</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Fuel for heating</p>
</div>
<div class="specification">
<p class="p1">A room heater burns liquid fuel and the following data are available.</p>
<p class="p1">\[\begin{array}{*{20}{l}} {{\text{Density of liquid fuel}}}&{ = 8.0 \times {{10}^2}{\text{ kg}}\,{{\text{m}}^{ - 3}}} \\ {{\text{Energy produced by 1 }}{{\text{m}}^{\text{3}}}{\text{ of liquid fuel}}}&{ = 2.7 \times {{10}^{10}}{\text{ J}}} \\ {{\text{Rate at which fuel is consumed}}}&{ = 0.13{\text{ g}}\,{{\text{s}}^{ - 1}}} \\ {{\text{Latent heat of vaporization of the fuel}}}&{ = 290{\text{ kJ}}\,{\text{k}}{{\text{g}}^{ - 1}}} \end{array}\]</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>electric field strength</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A thundercloud can be modelled as a negatively charged plate that is parallel to the ground.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_07.24.35.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B2.Part1.b"></p>
<p class="p1">The magnitude of the charge on the plate increases due to processes in the atmosphere. Eventually a current discharges from the thundercloud to the ground.</p>
<p class="p1">On the diagram, draw the electric field pattern between the thundercloud base and the ground.</p>
<div class="marks">[3]</div>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Determine the magnitude of the electric field between the base of the thundercloud and the ground.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>State <strong>two </strong>assumptions made in (c)(i).</p>
<p class="p1">1.</p>
<p class="p1">2.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>When the thundercloud discharges, the average discharge current is 1.8 kA. Estimate the discharge time.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>The potential difference between the thundercloud and the ground before discharge is \(2.5 \times {10^8}{\text{ V}}\). Determine the energy released in the discharge.</p>
<div class="marks">[12]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define the <em>energy density </em>of a fuel.</p>
<div class="marks">[1]</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>Use the data to calculate the power output of the room heater, ignoring the power required to convert the liquid fuel into a gas.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show why, in your calculation in (b)(i), the power required to convert the liquid fuel into a gas at its boiling point can be ignored.</p>
<div class="marks">[5]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State, in terms of molecular structure and their motion, <strong>two </strong>differences between a liquid and a gas.</p>
<p class="p1">1.</p>
<p class="p1">2.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part2.c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">force acting per unit charge;</p>
<p class="p1">on positive test / point charge;</p>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><img src="images/Schermafbeelding_2016-11-10_om_07.26.41.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B2.Part1.b/M"></p>
<p class="p1">lines connecting plate and ground equally spaced in the central region of thundercloud <span style="text-decoration: underline;">and</span> touching both plates; <em>(judge by eye)</em></p>
<p class="p1">edge effects shown; <em>(accept either edge effect A or B shown on diagram)</em></p>
<p class="p1">field direction correct;</p>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\sigma = \left( {\frac{{35}}{{1.2 \times {{10}^7}}} = } \right){\text{ }}2.917 \times {10^{ - 6}}{\text{ (C}}\,{{\text{m}}^{ - 2}})\);</p>
<p>\(E = \frac{{2.917 \times {{10}^{ - 6}}}}{{8.85 \times {{10}^{ - 12}}}}\);</p>
<p>\( = 3.3 \times {10^5}{\text{ N}}\,{{\text{C}}^{ - 1}}\) <strong><em>or</em></strong> \({\text{V}}\,{{\text{m}}^{ - 1}}\);</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for bald correct answer.</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>edge of thundercloud parallel to ground;</p>
<p class="p1">thundercloud and ground effectively of infinite length;</p>
<p class="p1">permittivity of air same as vacuum;</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>\(t = \frac{Q}{I}\);</p>
<p class="p1">\(t = \frac{{35}}{{1800}}\);</p>
<p class="p1">\( = 20{\text{ m}}\,{\text{s}}\);</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>use of energy \( = {\text{p.d.}} \times {\text{charge}}\);</p>
<p class="p1">\({\text{average p.d.}} = 1.25 \times {10^8}{\text{ (V)}}\);</p>
<p class="p1">\({\text{energy released}} = 1.25 \times {10^8} \times 35\);</p>
<p class="p1">\( = 4.4 \times {10^9}{\text{ J}}\);</p>
<p class="p1"><em>Award </em><strong><em>[3 max] </em></strong><em>for 8.8 GJ if average p.d. point omitted.</em></p>
<p class="p1"><em>Accept solution which uses average current </em>\(\left( {from \frac{{charge}}{{time}}} \right)\)<em>.</em></p>
<p class="p1"><em>Allow ecf from (c)(ii).</em></p>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">energy (released) per unit mass;</p>
<p class="p1"><em>Accept per unit volume or per kg or per m</em><sup><span class="s1"><em>3</em></span></sup>.</p>
<p class="p1"><em>Do not accept per unit density.</em></p>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>volume of fuel used per second \( = \frac{{{\text{rate}}}}{{{\text{density}}}}{\text{ }}\left( { = {\text{1.63}} \times {\text{1}}{{\text{0}}^{ - 7}}{\text{ (}}{{\text{m}}^{\text{3}}})} \right)\);</p>
<p class="p1">\({\text{energy}} = 2.7 \times {10^{10}} \times 1.63 \times {10^{ - 7}}\);</p>
<p class="p1">\( = (4.3875 = ){\text{ }}4.4{\text{ kW}}\);</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for bald correct answer.</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>power required \( = (2.9 \times {10^5} \times 0.13 \times {10^{ - 3}} = ){\text{ }}38{\text{ W}}\);</p>
<p class="p1">small fraction/less than 1% of overall power output / <em>OWTTE</em>;</p>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">sensible comment comparing molecular structure;</p>
<p class="p1"><em>e.g. liquid molecular structure (more) ordered than that of a gas.</em></p>
<p class="p1"><em>in gas molecules far apart/about 10 molecular spacings apart / in liquid molecules </em><em>close/touching.</em></p>
<p class="p1">sensible comment comparing motion of molecules;</p>
<p class="p1"><em>e.g. in liquid: molecules interchange places with neighbouring molecules / no long</em><br><em>distance motion.</em><br><em>in gases: no long-range order / long distance motion.</em></p>
<div class="question_part_label">Part2.c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many omitted the reference to a test charge that is positive.</p>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Common errors were to draw the field lines in the wrong direction, to omit edge effects, and to fail to draw field lines that touch the plates.</p>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) This part was well done.</p>
<p class="p1">(ii) Most candidates could only identify one assumption made in the calculation.</p>
<p class="p1">(iii) The estimation of discharge time was well done.</p>
<p class="p1">(iv) There was a general failure to recognise that the average pd during the discharge is half the maximum (starting) value and this lost a mark.</p>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">A handful of candidates defined energy density as energy converted per unit density, but most gave energy released per unit mass with a minority quoting energy released per unit volume.</p>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) Again, this was done well by the majority with the usual smattering of significant figure penalties and mistakes in handling powers of ten.</p>
<p class="p1">(ii) Arguments were weak and poorly supported by calculation.</p>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Candidates found great difficulty in stating the differences between liquids and gases. They often focused on either molecular structure or motion, but not both as required in the question.</p>
<div class="question_part_label">Part2.c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about electric charge and electric circuits. <strong>Part 2</strong> is about momentum.</p>
<p><strong>Part 1</strong> Electric charge and electric circuits</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Coulomb’s law.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In a simple model of the hydrogen atom, the electron can be regarded as being in a circular orbit about the proton. The radius of the orbit is 2.0×10<sup>–10 </sup>m.</p>
<p>(i) Determine the magnitude of the electric force between the proton and the electron.</p>
<p>(ii) Calculate the magnitude of the electric field strength <em>E</em> and state the direction of the electric field due to the proton at a distance of 2.0×10<sup>–10</sup> m from the proton.</p>
<p>(iii) The magnitude of the gravitational field due to the proton at a distance of 2.0×10<sup>–10</sup> m from the proton is <em>H.</em><br>Show that the ratio \(\frac{H}{E}\) is of the order 10<sup>–28</sup>C kg<sup>–1</sup>.</p>
<p>(iv) The orbital electron is transferred from its orbit to a point where the potential is zero. The gain in potential energy of the electron is 5.4×10<sup>–19</sup>J. Calculate the value of the potential difference through which the electron is moved.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electric cell is a device that is used to transfer energy to electrons in a circuit. A particular circuit consists of a cell of emf <em>ε</em> and internal resistance <em>r</em> connected in series with a resistor of resistance 5.0 Ω.</p>
<p>(i) Define<em> emf of a cell.</em></p>
<p>(ii) The energy supplied by the cell to one electron in transferring it around the circuit is 5.1×10<sup>–19</sup>J. Show that the emf of the cell is 3.2V.</p>
<p>(iii) Each electron in the circuit transfers an energy of 4.0×10<sup>–19</sup> J to the 5.0 Ω resistor. Determine the value of the internal resistance <em>r.</em></p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the force between two (point) charges;<br>is inversely proportional to the square of their separation and (directly) proportional to (the product of) their magnitudes;</p>
<p><em>Allow <strong>[2]</strong> for equation with F, Q and r defined.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(F = \left( {k\frac{{{q_1}{q_2}}}{{{r^2}}} = } \right)\frac{{9 \times {{10}^9} \times {{\left[ {1.6 \times {{10}^{ - 19}}} \right]}^2}}}{{4 \times {{10}^{ - 20}}}}\);<br>=5.8×10<sup>-9</sup>(N);<br><em>Award <strong>[0]</strong> for use of masses in place of charges. </em></p>
<p>(ii) (\(\frac{{\left( b \right)\left( i \right)}}{{1.6 \times {{10}^{ - 19}}}}\)<strong> or</strong> 3.6 x 10<sup>10</sup> (NC<sup>-1</sup>) <strong>or</strong> (Vm<sup>-1</sup>);<br>(directed) away from the proton;<br><em>Allow ECF from (b)(i).<br>Do not penalize use of masses in both (b)(i) and (b)(ii) – allow ECF. </em></p>
<p>(iii) \(H = \left( {G\frac{m}{{{r^2}}} = } \right)\frac{{6.67 \times {{10}^{ - 11}} \times 1.673 \times {{10}^{ - 27}}}}{{4 \times {{10}^{ - 20}}}} = 2.8 \times {10^{ - 18}}\left( {{\rm{Nk}}{{\rm{g}}^{ - 1}}} \right)\);</p>
<p>\(\frac{H}{E} = \frac{{2.8 \times {{10}^{ - 18}}}}{{3.6 \times {{10}^{10}}}}\) <strong>or</strong> 7.8×10<sup>-29</sup>(Ckg<sup>-1</sup>);<br>(≈10<sup>28</sup>Ckg<sup>-1</sup>)<br><em>Allow ECF from (b)(i).</em></p>
<p>(iv) 3.4(V); </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) power supplied per unit current / energy supplied per unit charge / work done per unit charge;</p>
<p>(ii) energy supplied per coulomb=\(\frac{{5.1 \times {{10}^{ - 19}}}}{{1.6 \times {{10}^{ - 19}}}}\) <em><strong>or</strong></em> 3.19(V);<br>(≈3.2V)</p>
<p>(iii) pd across 5.0Ω resistor=\(\left( {\frac{{4.0 \times {{10}^{ - 19}}}}{{1.6 \times {{10}^{ - 19}}}} = } \right)2.5\left( {\rm{V}} \right)\);<br>pd across<em> r=</em>(3.2-2.5=)0.70(V);</p>
<p><strong>and </strong></p>
<p><em><strong>either </strong></em></p>
<p>current in circuit=\(\left( {\frac{{2.5}}{{5.0}} = } \right)0.5\left( {\rm{A}} \right)\);<br>resistance of <em>r=</em>\(\left( {\frac{{0.70}}{{0.50}} = } \right)1.4\left( \Omega \right)\);</p>
<p><em><strong>or</strong></em></p>
<p>resistance of<em> r</em>=\(\frac{{0.70}}{{2.5}} \times 5.0\);<br>=1.4(Ω);</p>
<p><strong>or</strong></p>
<p>3.2=0.5(R+<em>r</em>);<br>resistance of <em>r</em>=1.4(Ω);<br><em>Award <strong>[4]</strong> for alternative working leading to correct answer.<br>Award<strong> [4]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Many were able to state Coulomb’s law or to give the equation with explanations of the symbols. Some candidates however failed to define their symbols and lost marks.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) The electric force was calculated well by many.</p>
<p>(ii) The answer to (i) was well used to determine the magnitude of <em>E</em>. However, many candidates did not read the question and failed to state the direction of the field or gave it in an ambiguous way.</p>
<p>(iii) Calculations to show the order of magnitude of <em>H/E</em> were generally well done. The last step was often missing with the answer simply given as a fraction.</p>
<p>(iv) Many obtained this simple mark.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) Many candidates gave confused or incorrect definitions of the emf of a cell. Previous comments in this report on the memorizing of definitions apply. Too many had recourse to the next part and used this idea in their answer.</p>
<p>(ii) This was well done.</p>
<p>(iii) A large number of candidates completed this calculation stylishly, generally explaining steps (or at least writing down the algebra) in a logical way. There were many correct and original solutions that gained full marks.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Satellite</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State, in words, Newton’s universal law of gravitation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows a satellite orbiting the Earth. The satellite is part of the network of global-positioning satellites (GPS) that transmit radio signals used to locate the position of receivers that are located on the Earth.</p>
<p><img 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" alt></p>
<p>When the satellite is directly overhead, the microwave signal reaches the receiver 67ms after it leaves the satellite.</p>
<p>(i) State the order of magnitude of the wavelength of microwaves.</p>
<p>(ii) Calculate the height of the satellite above the surface of the Earth</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Explain why the satellite is accelerating towards the centre of the Earth even though its orbital speed is constant.</p>
<p>(ii) Calculate the gravitational field strength due to the Earth at the position of the satellite.</p>
<p>Mass of Earth = 6.0×10<sup>24</sup>kg<br>Radius of Earth = 6.4×10<sup>6</sup>m</p>
<p>(iii) Determine the orbital speed of the satellite.</p>
<p>(iv) Determine, in hours, the orbital period of the satellite.</p>
<div class="marks">[8]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>force is proportional to product of masses and inversely proportional to square of distance apart; <br>reference to point masses;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) order of 1 cm;</p>
<p>(ii) 3×10<sup>8</sup>×67×10<sup>−3</sup>;<br>2.0×10<sup>7</sup>m;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) force required towards centre of Earth to maintain orbit;<br>force means that there is an acceleration / <em>OWTTE</em>;</p>
<p><em><strong>or</strong></em></p>
<p>direction changes;<br>a change in velocity therefore acceleration;</p>
<p>(ii) uses=\(\frac{{GM}}{{{r^2}}}\) <em><strong>or </strong></em>\(\frac{{6.7 \times {{10}^{ - 11}} \times 6.0 \times {{10}^{24}}}}{{{{\left[ {2.6 \times {{10}^7}} \right]}^2}}}\);<br>0.57Nkg<sup>–1</sup>; (allow ms<sup>–2</sup>)</p>
<p>(iii) \(v = \sqrt {0.57 \times \left( {2.0 \times {{10}^7} + 6.4 \times {{10}^6}} \right)} \) by equating \(\frac{{{v^2}}}{r}\) and <em>g</em>;<br>3900ms<sup>–1</sup>;</p>
<p>(iv) \(T = 2\pi \frac{{2.6 \times {{10}^7}}}{{3900}}\);<br>11.9 hours;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<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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AEEEEAAgYgInBWRWqkUAQQQQAABBBBAAAEEDAECck4EBBBAAAEEEEAAAQQiKEBAHkF8qkYAAQQQQAABBBBAgICccwABBBBAAAEEEEAAgQgKEJBHEJ+qEUAAAQQQQAABBBAgIOccQAABBBBAAAEEEEAgggIE5BHEp2oEEEAAAQQQQAABBAjIOQcQQAABBBBAAAEEEIigAAF5BPGpGgEEEEAAAQQQQAABAnLOAQQQQAABBBBAAAEEIihAQB5BfKpGAAEEEEAAAQQQQICAnHMAAQQQQAABBBBAAIEIChCQRxCfqhFAAAEEEEAAAQQQICDnHEAAAQQQQAABBBBAIIICVSJYN1UjgAACCCCAAAKVUiChZXzE+pW9KydidVNx+QSYIS+fG0chgAACCCCAAAIIIGCJADPkljBSCAIIIIAAAgggUFKg74AbS74YoleWLVkUopIpNtQCzJCHWpjyEUAAAQQQQAABBBDwI0BA7geHtxBAAAEEEEAAAQQQCLUAAXmohSkfAQQQQAABBBBAAAE/AgTkfnB4CwEEEEAAAQQQQACBUAsQkIdamPIRQAABBBBAAAEEEPAjQEDuB4e3EEAAAQQQQAABBBAItQABeaiFKR8BBBBAAAEEEEAAAT8CBOR+cHgLAQQQQAABBBBAAIFQCxCQh1qY8hFAAAEEEEAAAQQQ8CNAQO4Hh7cQQAABBBBAAAEEEAi1AAF5qIUpHwEEEEAAAQQQQAABPwIE5H5weAsBBBBAAAEEEEAAgVALEJCHWpjyEUAAAQQQQAABBKJEIEtm9m8nCS3j1c8VMi49r1i7y3q/2O4BPiUgDxCK3RBAAAEEEEAAAQQQCIUAAXkoVCkTAQQQQAABBBBAAIEABQjIA4RiNwQQQAABBBBAAAEEQiFAQB4KVcpEAAEEEEAAAQQQQCBAAQLyAKHYDQEEEEAAAQQQQACBUAgQkIdClTIRQAABBBBAAAEEEAhQgIA8QCh2QwABBBBAAAEEEAhAIG+ljOvSxpU6sPW9svBIgZ+DfpLMKde69r1qimT627Vgs6RdVXa5BTkZ8uqMF2Rc/0R3+kKdwtD107b/WJk+Y7Fk5vmryE9zQ/QWAXmIYCkWAQQQQAABBBBwpECdK+XmG+NdXc/fKMtXHyidoWC7rHwnx/V+brqs3PpTqfsWbP1AluXmG+/Hdr9OetSPKbpvQY58kDpALk6+W56a8KzM23qi6PvqWf7WuZI24WEZ0nmopG0+UuL9SL1AQB4peepFAAEEEEAAAQQqpcA5knhNisQZfcuTde9ukNJCX+8gW+Sg7Pi2+I14TKCfZOv76ZJrPK0j3a7vIvXNt/TvgmxZOOoOGfnmVnGF7N5v+nicnynThz0oM7NP+Xgz/C8RkIffnBoRQAABBBBAAIFKLRCT2Ev6xsUafcxfu0LW+Fy2UiB532ZL4fy5n+Ddeya9cR+5tWcjL78CObJ4iqS+7wrXRWpJ+5tSZWbGdsneleP5ycqYLU+M6imNzSPzN8vr878UOyxeISA3B4XfCCCAAAIIIIAAAtYIxFwsg//YUYyQvNRlKwdkzbsb1Yx2LbkoMcHYt7TgvXAmPVbibhws3et4LVcp+ExmPbfaPTNeS5LGz5UFaSMkOb56kb7ExCfLXWNflNfGd3G1Sx2Ru36LfFdkr8g8ISCPjDu1IoAAAggggAAClViguiQMGirdjIi8lJnvIxtk+Vq1RCW2i9z15FBpqzV8Bu/ey1Xipe817cQrHBfJ2y07DrgXqqiybh3Uuuj7RZRVu3qluOrSr2ftlJyA1rgUKcTyJwTklpNSIAIIIIAAAggggIDU7yJ9utcxIErOfKtlJqtXyDodDDdKkPjETtLVWOLiI3j3Xq4SlyK9E88pilt/kMzY4V6asuMVGVT8Ys+ie4vUri8NXKtpir8TsecE5BGjp2IEEEAAAQQQQKAyCzSSHtd3LmXZirlcRS1B6ddLEmPbSe9+rsws+d/skD1eC7sLl6uo5Sh/HCCJRabHA/E7JbvS35CZM2bIzJfHysAuoyXdBrPi3i2v4v2ExwgggAACCCCAAAIIWCMQI/V7DpWBjVfLvP3ume/Bg1zZUczlKtLGvQSlmjRv1UIF71mSb6Q//JMkJemZcK/lKmUuR1HJVlQO8tc+yJJDG96Q6avMizyt6U0oS2GGPJS6lI0AAggggAACCDhZwCsneeGyFa/lKp4lKCp4v/o695rzHFn2/nZX9hOv5So+c4+btkVykE+OqmBcd4EZcnMg+Y0AAo4V2Lljp2zevFlOnDjuMTh86LDUql1bqlWrary24eMNnvd8Pdi9e7fUrFlT6tcvkhnX166V6rVffvlFTp48Keeee265+nXuubWl3UUXGcc2adJU2rRpI61at5LMzEz57+Il8t13rvwHXa7oIjf06yeNG3sSlpWrPg5CAIFwC7hzkk/Lktz8bfLp5ydkUMpP7uwq7uUq5hIU95rz9FV5kvvOB7L10Y6S6LkZkI/c42ZXjBzkd8pjnrSH5hv6d6w07nmX3NXlPNeL9TrJkA6b5M7kibLNe7cIPyYgj/AAUD0CCEROYN3adfJEaqrk5hb9WrNKlSqiA03v7bwGDT3Buffr5uOjR47Izz//LDVq1JDaKjg966zK/wXkr7/+KocPH5b8M2ekaZzrFiCmR6C/jx8/IYsXLS6ye7Xq1SU/P19+LShcRJqRni6TJkyUf7/2mnTr3q3I/jxBAIHICvz444+y//v9xodpXy1x5SSfJdNzj8jHG7OloIfIzm9Oql1rSJtW53tlRHGvOV+1UvIPZEtOnrrTpnkzoBK5x82aVC7zNbPkGU8wHicpox6W+0cOkCTv1Ijm7vp3zibvZ7Z4TEBui2GgEQggEG4BHYzfeccdnmpjYmKkwB0ANmveQhqff77UqVdPGjb0vvmEZ/cSD/Lzz8jmjRvlm+1fyVkxVSSlV2+pU7duif0q0wsbPlov3+/bJ92TUyT+goQKdy3v2DE5duyoHNi/X3apm4WcVuOhP9jowN/cUseNk3WqXjYEELCHgP42a8yjj8q32d8aN+Dx2aoY1wWb0/UsuZr5/qyXyLJcdVVlbGfpc7X331hz2cpKddHlRlm+apW0fidHFekj97inohOSuSJD9hvP1X6jnpeXx3b0CvI9O7ofqOUyWzbK18VfjvDzyj+FE2FgqkcAAXsKTJk82dMwHfTpYPzCdhfJkGG3GgFmm7btAg7GdUGxsVWlS9crpde118mZ06dkycL58sXWzz11VLYHum/6w4c2syIY1z76A4wuSzsO+8MdhuX5TZoYdOY3DvvUBwAdALAhgEBkBfSs+LPPPCtDbhykPkgfM769Kr1F50jS8JGSolMNHtghmzbuMO7O6XNNeJ0W0rqR3vGkZL23WNbpwF185B4vvTI/76hsKyufknvGqRl4P3tF4i0C8kioUycCCERcINe9Nlk3pEbNWjJg0BAjENRLTiqyNY1rJv3UXeT0Eo7NGz+VD95bbqyxrkiZdjs2R81e677pPurgOVSbtux1bR/p06+/MUa6Hv1NRi01XmwIIBA5AX3dzV1//KO89MILMvDGgbJ67dqyl5KZOcnzV0na5FUqIC5lTbh7Nl3dIUhyV62Rr3Q3PRd++upzDYlv3cz9hjpm2kNy35SFkplXuORN5IhkLpghaff0lp4j/i3bvKPxAvXN3HHvfX3VEfrXCMhDb0wNCCBgQ4HklBSjVXpteL+BAy1dXqKDeh1Idux8uexV69PfWbRA/XZdnGhDiqCapJeVrM1IF+3WI6VnUMeWd2e9bEiPkZ6N199kjB0zRvTsHBsCCIRfQOfyvrZ3b8nJyZEXXnpJnnnuOeOC9rJb4pWT3Ni5tfy+QwMfh7kvAvW8U+zCT8/r5oNYaTlomGv23XgpV9KnjZYhl7WShJbx7h91Iefoib4zr+TnydHjhcvizFLD/Zs15OEWpz4EEIi4gA7mdFaVatWqyTV9+hjLTULRqEsSL5W4Zs0l/YOVaqZ8hTRv0VIuVBlF9EWj0bbVqFHTuHhzxbJ3DLere/YKmZsvG3NJUCOVZUV/IPjj7XfIf15/LcBAwFeJvIYAAsEI6Fnxx8eNlS2bt4ie0Hhq4oQgsx55rw9XNcd1lI7Nfd8us/AiUDWVHXu1/L/hl/lZE67Kqj9Apr6dI3cOe7Ho7LevDjbuKQ9MvFOazfmTjFPZXER2yCdbDsnweNfyOF+HhOO16Pu/QjhUqAMBBCq1wNtvvWXMXOulEDrQC8WmL/LMyc6W7J075MTxH4wq9uzeJfonWje9XOS3336TpE6djWwykeiHuV5dB+Vpk6fI35/6RySaQZ0IOEpAz4rrLEd169WVier6m5uH3Vy+/te/Tu4fPl3NYOe47s4ZU0oxXheB+lxnXuKwGKnTcbQs3pgiC+etkOWzXpX0/V7rUmITZejoG+TCNr3kjpR4FdyrCzuPqTuI6mwuUuyGRSXKDs8Lv1N/XH8LT1XUggACCEReQM+OX6XWPZ93XgPj4s1QtCjr6+2SuXmTnDp1SvSMbkcVwMY1a6aC2JrG7HIo6gx1mXrpzeZNG1UmhZ1Gv849t4507tJFrSM3126GugVFy9+i2rLt888qFhwULZJnCFgqoJdL6K3vgBstLddfYcuWLDLezt6lM5NUfKv4rHjF2+CUEpghd8pI008EEDAEli1dpmasj8u1199guYieFV+bkSG53+0xAvGRt94mF1/S3vJ6IlHgBQkJ0q1HDzmlcq1/8cU2maOWi+hlOO0uuljNmHcK2TcNpfW1g/qQc/TIYTVrN0F6XN0jyK/OSyuV1xFAwBSwbFbcLJDffgW4qNMvD28igEBlE3h52jQjO0hFs6kUd9HB+Kr33zOC8etv6Cf/mDi50gTj3n2tfvbZ0kldrDppylS5vMsVsv2rL2XliuXqRj5nvHcLy+MrruouZ9QNhFLHPR6W+qgEAScI7Ff3ARg6eLCxREWvFV/67rvlX6LiBDCL+mhBQJ4lM/u3c1/FeoWMS9cL5G245WXKwpfHysDW5hW3+ncbuXLMSrV6yOHb8Twpkh3Iw+E9tu1k4Iwszzs8iEYBxlN//bpH3eI+oXUbSwfQDMb1DW3uHXW/DBw02NLy7ViYDsyH3ztSbv/jXXLo4EFjtjzcQbn+UHVJ+0RZs3o1ucnteJLQpqgT+L+3/09uuP5648JNvVZ85uxZfPsUplG0ICAPU0srUk3eShl33c3y2OS5xa6+zZcjR06opf1O3VRezrmpMvDKSZIZ+Yw/Th0E+h1GAZ1ZRW8NGzW2tNYNH31k3F1SB+N69thJm17Govt98MABY7lOuPt+Ybt2xrr85599LtxVUx8ClUZAz4oPv/se9W3TOImPj5f3Vq5kVjzMo+uAgPwnyZz+tMzzvtrWgxwrjdq0UKnpHbjlfSxp/ZNlyJi3in1IcaAFXXaMwIfr1kmt2udamiFEX8D5rcqkopepOC0YN08c3W/df712Ptx3J9VZcnR6ST22OqhgQwCB4ATMWfGM9HR5fHyqzFuwQFq1bhVcIexdYYHKH5AXbJeV75hXG8dK456pMv+znaKvQM7elSVrxnb0n9uywsQ2LeDYF/LR1hM2bRzNQiA0Ajpoa9K0qWWF6yUamVs2i77g0QnLVPzB6f5rB30HT33zoHBu8Qmu4OHNOW+Gs1rqQiCqBXzNig8fMSKq+xTNja/8Afmvx+XoYTMXZbwMePA2SapTWuLLaB5K2o4AAv4EdLrD4yq7Ss2aNf3tFtR7mzduNLKO3DTs1qCOq6w7j7z/AaNrOigP56bXkuv85EsWuVK+hbNu6kIgGgWYFbffqFX+gLyI+blSr47vu0IV2Y0nCCBQ6QR27Nhh9KmhygtuxXby5En5ZvtXarlEojEzbEWZ0V5G3br1ZPBNNxtLVw4ePBDW7jRr0UJyVa50feEuGwII+BbQExPF14ozK+7bKtyvOiwgDzcv9SGAgF0Evt/3vdGUqhbdmTNH3SBHbzf0G2D85j8ugR49rpYa6luIbZ99FlYS80Jd88LdsFZOZQhEgcC6tevk6u7dhbXi9hysEAXkBZKXuVimjxkgbdWdqvTdqhJaJsrAMS/Iq+k5gWc1KciRjNnTJe2ebu4y3GW1HiDjXn5DMnJOlaKaJxljrnAd0/pumefZbaNMSm7jKeviMRnqlqk+Np0iccYLMq5/omdfow9Gva/KwswjPg4yX/JKLdd2rGSoCgpyMmSmt4UuZ0aG7PKV3qXcfTbr9/87P32sXKzHI3mibDN3PTVXhpvpIN1tNt/y+dtXCskyx8RHSSHuq48a9WD4Pqe6DJe0GYsl03f+R1VU+cdVj/+rvs4nNQ5t+4+V6X7r9e6F69/VzBLpO9V4Gu3392/Cu5xij60az2LF2u3pvn17jSbVqVvXkqbt3JFlzIzrddNshQI6HWKPq5ONWXL9LUK4Nr1sRV+w+96KFeGqknrCJKBvUKN/9OwuW/AC2m30ww/LnXfcIXXV37/5ixYKs+LBO4b6iBAE5CqV3oxR0vfGhyVt7lavgPeEbJv7rDx1d4pc3P9v8kGpwbTu8inZtfJvMrBtigz/+2SZviq3qEP+Vpk3+c8yPPlyGZj6ru/AtugRAT7Tbb9XrrxskDw24VmZV/yiR6Pev8tjNyarDxdv+wnevKpTKRfH3zJSJnlbqHIWbzgmtYosZY9Un73aWuZDdxs7K5/iKSQ9Y9Jb7luQXcaHrkj0tYw696+S6RMeliGqb+NXBvChMZBxVcH/B6kD5OLku+UpX+eT8s7fOlfSjHqHStpmPx/0CrJl4b1XS0f172pScXs9bkb7g/03YdV4lnniVLod9EWLP+TlyZXqxjRsJQV6JCcbL+olPeHc9AW7mVu2hLNK6gqDwHsr3jNuUtP1910IzIP0NmfFFy9aLA/86U+yaMkSSUpKCrIUdg+HgMUB+Un5es4T8uCEleIv+VT+1n/LyFv+Lhk+ZyNVkLDgMbltxL8DSMengvw3H5LbRs21ICg/pGbVB8uQMtruGhT94eJxueWO52Wzzz6YQ7dP3lO3dS6ZcrGOdLu+i9Q3d9MfQCLSZ08DAnhQIIfeSQ1gXHJl5ej75ZnMn0opMxJ9PSXZM+6S60YEcE6pDxZvj7hLxqcfKqX9+uUAxlUH0KPukJFven8o9VNkfqZMH/agzMz2fJ3jtbM6Nx+/Rx57v9gHU689Ch/qfxPj5NHZX5fxociq8Sys2e6Ptn/1lTGDakU7dXo/vV2S2N6K4ipdGXotuf7m4OABf/8nsL7b+oJdfeEu6Q+tt7VDifobl0kTJgqBedmj4WtW/JHRj1h6UXvZrWCPYAQsDshVMLBqgwrGdXrB+2Tqok3u9II5kpUxWx6/KVG94972z5cnJqaXuEtmQfbr8ui4pZ6APjbxJhnzzELZbKQp1KkKXWU9MaqnNDaKypf97z9VLACpI8lpH7vq3jFbhlY3K+0sj2dkedr0ZVqyuz06YPsfGTV3t7mjqA7IyCL1bpdVs/8mI3vGefbJ3zpd/sdHHzw7nPpQ5i1WZaqyHpidLllGH3bK5kUvyP09G3l2s6bPnuL8PohNmSJf6nZkpIonlKh+k8zc4bLN/nqKJHsGybso5bz1S59jm/3ZQpnsPbaSJbNfXCG+5nvD2Vez9brOsWkbCr+tiU2UoeNny6psd593bZL5abdIe0+/d8u81OdK+cCoSi1zXAvkyOIpkuoJoGtJ+5tSZWbGds+5V/I8VuXmb5bX539ZIpAuyJwtf/Wcm3GSMuoZr9Sdug/6nHrG69w8IZlpz8qSI77WRJkq1oynWVo0/P7hh+NSu3YtS5qqb4LTSF0cqgNPNt8CSR07GTdLCueyFfOC3e+/d10v4LtlvBrtAgTmZY+gXivOrHjZTnbaw+KAXHdNBR+j/iPLZo2VQUmFc8Ax8ckyPG22zBmV5A6CVUCwaLbMLzIjuE+WTPyXZBoLu3U5b8qG/06RkYOTity8R5d119jpsmzBg+4gKpAAxA973jqZMWuzJ2CLTXxQ5q6YLmOK1FtdWqbcIWNmLZa53n2YO0Em+51NbSMjp/1THkmJd+c7j5E6SVd5pV6MUJ/9cJT+lu+xVR2SoWkzZdpNLTyH5n+zQ/aUiAcj0VfvOlXzGt8gU9//P5k8IllaepYM1ZekmybKghWpkmQG5fuXy5ur/GWJ8DOuBZ/JrOdWu8+nWpI0fq4sSBshyfGeT4aGk+s8flFeG9/F828id/0W+c6jqB+odePfZovZktieD8vksYO8zh+9jz6nBsmYV2bI4x3cAWf+Rlm+2jxK7+Nrq+h4+irTvq/9/PPPljXuuz27pd1FF1tWXmUsqHXrNka38o4dDVv3zAt2s77JCludVBQ5AQLzova//FJ4VZy5VpxZ8aJGdn5mfUAed5s8+egVRQLoQoD60vHRifKoJ2goNiN4ZIMsX5vn2t1vOXoXFYR0HCVPDnf90ZeAApDClhQ+UrOZq+bJYvNOnrG9ZeKrD0nHUnOVqz6MfVEm9jTv77lbFs9Z53M22KgjLkV6J55TWF3xRxHpc/FGBPjc75g0kO639BHP9weHj0rer8XKjURfvetUZ2XKY4/LoGKBsdnKmIS+cmt3c1zz5KNPvvF8SDP38fz2N655u2XHAfcfxtgucuug1u4PY56jvR5Ul4ReKdLWfCVrp+QU/k1Vr/4qJ47mFbbjUI7sKm2ZVExbGb5wq3sWPlNmDG5ilur7d0XH03eplf5Vc8a3WbPmlb6vFelgkyau8+/Y0fAF5OYFuydOHK9I0zk2ygQIzEX0v7N1qzM8I8dacQ9F1DywOCBXAc/Dt0uSZ+bRh0NMa7nxtsIZwQNZu93LVlRgvHqFrDOCkViJ69dLEv2VYxR9jiRek+IOAssIoHw0xfXSadmzc7c74FH1Dh8pA+qXVXETdYOhYZ7g0/dssC69rH5Eqs+lYvh5o6y+qI9IzVtLG3OG+ZRaSpHrHVlGpq/5n38iH5nNiO0sfa4uXCpUsrNNZNCsTM+yksIlTcX3LMOi/iCZYS4B2vGKDCrrfKpdXxqYbsWrUudQs04dC8+1rS/KTerC03Ev66wD/rLClCio2Atl9EHt7X88ixXnoKcnT7oyPTSN83z8dFDvA++qzrail/UcPeJr8Vrg5bAnAoEKODEw17PiX3/1pXy0bo3knzH/ZyesFQ/0pLHRflWsbUtDaX2BOcNYWslqZlvdUa2RrBR9iVr++k9ka/4gtW7ZOzDOl9xpQ6TNtNLK8P36qa93yl5RSxF8v13Kq3mSk3XQ/V4NadPqfD+zmYVFmMGKEXMeyJYcNWuZVCLwipG69Wr5KS9SfS7sR+CPyuqLKql2XTEICv8meBUfib7my161TtxzmWSjBIkv9ZsPr6aW+TAAC79lqAtb0+fLB9lqCUXBTln6zFy/FzDHJA6Q2zvMkUlbTrhKNTLabHU9VhlaRIXrKaP+IL9vdbkMKbLMyl8jAuiD3/H0V3blfi//zJnK3UELe9egYUM5rtbuh3M7r0FD2fDxBtK6hRPdZnWZgfk/n/9f+Z+H/p8Mu+WWShmg6lnxz7Zskp/Uxa5NmsZJ+8suk/eWLbXZaNCcQAUsDsgDuxNmTJ16ojMBF80ZcUbyjlTwD7f76/6Wpc42+mL5UY4eMkO26lK/rp/lJd6Hewcr+Xly9Lhan1EiIPc+wNfjSPXZV1tC/ZoN+lpPnXdlfflhMYPOQf7aB1lyaMMbJdN3BlqXXooy+1WR0Q/JpOIpQI0yciV92mRJV48njVbrwtUFpE+mDi22zjzQytivLAFzCQb5x8uScr3/u9/9LrAdLdqrWrWqFpVEMdEuUFkDcz0rvjNLJahQ90KIVTc669ylqzRs5O/b32gfSWe03+KA3Blo9BKBMgV0DvI/PyQPBpr2sKwC63SU4bNWy5DMd2T++0vl1WmrPJmIih7qSsk5ZO16mfrW1FLXyxc9hmcIhEbgvPMayBdb3d/mhKaKcpWqb/TG5hwBMzDXKRP1prNcRevma1a8SpWgZiGjteuVvt0WB+Q/yNE8vV7B/8lRkHdUjpm059WTOsZK9qpSp35t9arOW1td2o9fIotHuC/YNPcNye+aUq+Bzn6hZ8lPyZFjOn92Wctu1C7Hj4knq1xsHalXuzzL8SPVZ9X+sG826Kv6eu+YyvzSMtSz5EYO8jtLyRuuU4LeJXd1Oc81AvU6yZAOm+RO7zunljo2OpvKQBmuf8bqu3aq4HzTATnqa/Z9/1JJfSpZeswa5JXvvtSCeQOBkAicc06A3ziGpHbfhRKM+3bhVfsL7NubK5mbNjIrbv+hKlcLLQ7ID8qOb/NEkvz9ES6Wxu3C1tLcCJCqSfNWLVQon6UusDwlX2/4Qo6ogLwwcWK5+hfAQXUkvk1DkVWq3XJSsnZ+rxLNNfGz7lsX6X2Bonpa7rXJkeqz7kO4t0j0NVaaJsSrj3cbXevIS13r72WRM0MGeoJjnbd+jgyP9/8B0+to9VCd32tmyTOeHOR6fffDcv/IAaUvIcnZVLSIgJ6ZwbnaecRIGaPrzVwir7z4nGdpTP7aFbLmyICyLyoNqD52QiB4gT0qPWQLm81GR/PsaPAjUDmOGDp4iGzZvLlCnbniyq4y+tFHo/oulT//9JM0V/+e2l18sTArXqHTwZYHl2da109H8mTduxtKTwGojyzYIYvmmDdp8b5jpXmxp6v4/LXzZFGRHOW+qlWB8YJ7pa06QfWsR9t7Fvqv21cRYgaK+k11MenM6WXcUEXvd0DWvLvRk4ou1vOhQr8XzBapPgfTRqv2jUxfYy/9vXQ14+kyU2Oq82nLRvna7HJcR+nY3DzYfLGs3yon/ooM93ISlclk1PPycom84d5lFKvT+y3jcZbM7N/OOL8TWl4raaXeAVUH6CoX+ct/L7wRlnltQ4kyeaEiAjXU3SD1tm/fvooUw7EhEjh9motuQ0QblcXqQHz+ooXyxpw5UR2Ma/wEldu//aWXEYxH5ZlYdqMtDshVSLvqrzJyRmm37T4im59OlafNbBHF0tC5skmYNzbZIE8//JLfW9MXZM+WkeNWugPjFjLwtm7lmFGPkfo9h8rAxu7AK3+lpN71vJ96VR+mPCipxoy6Bi5vva7BiUyfyz4xQrFHRPpav4v08cotnj51kizMMS/iLdrLgpwFMn6qeUOfstMCFj26PM9UtpWVT8k9nnPYVxlx0vFKM9+1ugPqP+ZIdokbLhUeV7Bnp+w036+uPqjGBfuBorAsHvkWMAPyUxbeaMh3TdH/qs7+4H2zknD06PChg3KRmkFkc7ZAZQrEnT2Szum95QG5iJohnHCTDB4zQzI8gY/+On2hpN0zUG6alukOoNUdDMc8UjTnt8pRPuTBG6Sx2z/fk3O5WL7lvExZ+PJYGXzdRPddPdWq9Q63yYgeDco3cnW6yYh7OnpWvhv1XjdS0hZkunOk62J1qrrXivWhgvXqYiPVZ+/c16c+kffWHdKtCe0Wkb6qnPGp93vdgXOpPHbNzTJuRobsMgNX9b1K5oIpct8tT8hK8wZRjYfIX0deVsbSJV9cNSS+dTP3Gzp950Ny35SFklnkZj66vhnqXOotPUf8u2jKw4Jjcuy4p2GqHJVrf8gQT/vzt0yUvjeOlelFzk21m7qINGP2JLnvtqnufxNqrXr/Xp7j1B5sFgmYd4Pcm1s0T5RFxVeqYr7NzpbG55dxg6oQ9Lh2bffETgjKpkh7CxCI23t8aF3pAhavIU+SkePjZcmEhbJt7kQZrn58bypYuOYJefrutsUCHvW1e8pf1K3Ec6TvBPeyFiPn8sMyb7LOt1zKpm6HPvGZ2yWh3BfrqbsljvinTNsxVLV5t6uS/atk+mj9U0qd6uXYxAdlzuy7K1CvLjtCffZO2yi7Zd7dl8s83Rx1p9KpG6aFaN1xZPoak3C7PD15q9w2eqlrKYk+pybcrX50h31tLWToxIcluVw5y2Ol5aBhkpK2UdKNfOw6JeFo48dXTSVeM5eZeKXQ1O2fMibd828if+tcSRutf0ocXfiC+kDxVGpKIJcnFx7Do4AEzLtBHjlyOKD9nbqTDsb1Zn6jEA4HnU2DzZkClWGNuDNHjl6bAhbPkFeRer3+KnOeKZzlNisq/K3yJN/6vMyZdlMp2S50cPyqrJhxp7QP4Nv22MQ7Zbol6d0aSHLaApk/vrdnhr6wzcUf6VzPk+St1x6SjuUK2oqXF4E+x14i1/ZvUbwhas3Rbtm553TJ1y17JQJ9VZd1thw8VeYEck7FJsqwGa/KhJRyftuineoPkKlvPxjQ+atSrsgDs1+XyT3NzD475JMtxb+t0GYvylsBnZv6g6L+N/GXcn6gsGygbVdQtWrVLGuTvgPl19u/sqy8yliQ+Q1Cw0bmd56h76V5F9WOnTqFvjJqsIUAM+K2GAYaYYGAxTPkukU6+Hlell2QXCTjg+tugndIn2sGyaCksnKnqDJ6PymLv75DMv7zvmxcX/ymKq47E3btfI3ckRJfbJa9Iir1JWnEK7J+qFoSM+9D+fSdGTJv64nCAlXwNPKeq6VzryGSHK9TJVq5hbvP7g8gv58p/5o6S9LNpRpyXI4e0xdF+cuUU9F+h7uvur3edS6V9xb7GtsbpPfQfqVnQwm42+qbgI6jZfHGFHUerZDls1718lWFqKB/6Ogb5MI2vdznr7qw81hniV2lr4dwXxg9uHi6Qte5ubaXvtHQBvmoeJnuu3Va/28i4E7bfsezzjpLrLrgTweZ2z7/TPQ6cn2LeLaSApmZm0V/m1CjRo2Sb4bolTyV2lRv559/fohqoNhIC+gbTf3222/CjHikR4L6rRb4nTqxf7O6UMpDAAEE7CYwc8YM0TcG+eM9IyrctL2538kH762Qe0fdL506X17h8ipbAceOHZWxox+RC9tdJF26Xhm27m1ROZr1ByVSG4aNPCwVeac97Na9u/y/hx+KiowpZs77vgNuDIuTrmTZkkVGXfwbCBu5ZRWFYIbcsrZREAIIIGBLgaZxzYyZ8c8yMwnIfYzQp598YrzaVgXk4dy+V6kor+rWLZxVUlcYBPQSJP2tx1333B0VgXgYSKiiEgoQkFfCQaVLCCBQUqBWLX0nYHX7L3XhnxXLKPQNbz7d8LEMHjpU6tatV7JCB7/y4do1cu65dYwlK+FiyM8/IzrlYbd7h4erSuoJk8C4x8eFqSaqQSByAhZf1Bm5jlAzAggg4E+gzYVtjLfNC//87RvIe/oGHXpbvmxZILs7Zp91a9bIgf375dIOHcLa59zvvjPq44LOsLJTGQIIWCRAQG4RJMUggIC9BcwL/cwL/yraWj3LHtesuaxOXyV6zTSbuluDush14YJ5xux4/AUJYSXRHwJq167NkoawqlMZAghYJUBAbpUk5SCAgK0FGqtUhTpg+/HHHy1rZ0f3BZ2v/+fflpUZzQW98fprclL5dlUX3oVz08tVvlFpKAfeGL6L58LZP+pCAIHKL0BAXvnHmB4igIBbIPHSS0Vf+GfVptP66aUrX2zdKnqphpO3TRs/NdbUX9CqtTRs2CisFOZylf4DB4S1XipDAAEErBIgILdKknIQQMD2At26dzMu/NMzqlZt7VWQ37BRI3n9P6/KPguDfavaF45ydL9fmfYv0TdM6tK1aziqLFJH5ubNoj9sJSUlFXmdJwgggEC0CBCQR8tI0U4EEKiwwNVXJxtlmDOqFS5QFRAbW1XdpKSbVK9eXaZOnui4oPzb7Gyj37r/XbpeZXhY4RpoGTnfZsuJ4z/IiHvvDfQQ9kMAAQRsJ0BAbrshoUEIIBAqgVatWxnryL/bvdvSKvTSlWuvv0EKCgqM4PTLL7ZZWr5dC9PLdCZP+IcU/PKL0X/tEM5Nf9PxyUfrjdnx6/teH86qqQsBBBCwVICA3FJOCkMAAbsL3P7HP4qeVdX5yK3cjKC8T1+pUqWK/O+zz8jMV6ZX2uwrelb8n88/ayzT0ct1bhg4KKw5x81x27xxo5w+fVr+8tcnzZf4jQACCESlADcGispho9EIIFBegVtvu1VeeuEFIytHh06dy1uMz+N0UN63/wDJ3LTJuMBR3zjo6pSe0ubCC6VJ0zhp0qSJz+Oi4UUdhO/NzZX1H64V/VhvOsvMJYmXRqT5+kOVzqzywJ/+xNrxiIwAlSKAgJUCBORWalIWAgjYXkCnP7ztD3+QOW+8IReqW7tbcddO707rNeWXX9FVWiYkyC4VuG74+CMjV7n3PtH8+Nw6dYzMMqGwC9Ql79gx+US5XtK+vTwy+pFAD2M/BBBAwLYCv/tNbbZtHQ1DAAEEQiCwX91Eps8110rVatWNGe0QVFGkyOzsnbLhw3Wi/9i2VzPKMTExRd636xO9Jv7bnTvluLposv5556kZ8d/L+RGe5dfB+Ip3l6qLaKvJ2g8/lJo1a9qVj3Y5XCChZbwh0HdA+PLjL1uyyKgze1eOw/Wjr/vMkEffmNFiBBCooICeJf/D7bfLv156STaoiwK7dL2ygiWWfri+8PDzLVuMIPy6vv0ista69NaV/c6lSR1UnvXPZbPKM74m/QPppjLVNI1rVvaBIdhDL1NZm5EuzVu0kBkzZxKMh8CYIhFAIDICXNQZGXdqRQCBCAtkZGQYLdDrkHWQZ2VucrNrusz3ly830vLpQDbcWUjMdlT0t14nPmDQEOMbhQ/eW2F8iAmFV2nt1Bfg6jHSP/rbhf/95z9FZ8xhQwABBCqLADPklWUk6QcCCAQl4J2LXM+87tubK79XM+XxFyQEVY6/nXUWkMOHDkr35JSIzSr7a18w7+kPE/0GDlQz5RuNiyn37d0rKb16h/RDhg7Ec9Ryn21qhv6MyqaiN72MpuDXgmCazr4IIICA7QUIyG0/RDQQAQRCIXDHnXca2VbMsn/55RdjBlbf9bFlfLxckNCqQsGmXuahZ9/1xY9WBvlmeyPxW1+wqpf3NGveXNatzpAlC+dbnmlFrxE/eGC/7P/+eyM9pe7nWWcVfpmrL8LljpyRGH3qRACBUAoQkIdSl7IRQMC2AveOvFd25eTIsqVLjTbqmVe9/XTyR9n2+WfGj35+XoOGUq1aVf0w4O3UqVNy5PBhdVw1+fHEcfngveUBHxstO9atV0+OHT1qrC3/St0IqV79+hVq+unTZ4xvE8xCdD53c/v111/NhzL+z3/2POYBAgggUFkECv/iVZYe0Q8EEEAgAAGdneOfL74gd91zt2SkZ8iWLZvl9CnXsogzZ87Izz//LGeffbboYLB27doBlFi4i57lFZXA6gKV+jBaMqoUtj7wRy1btpS9aunKT2ppSbNmFbvQU1tfdPHF0rZtW2nTpo2sVjPwqz5YJfqbC71VU1lVRo68T7p17xZ4A9kTAQQQiBIB0h5GyUDRTAQQQAABBBCIHgHSHkbPWNmhpYUL8+zQGtqAAAIIIIAAAggggIDDBAjIHTbgdBcBBBBAAAEEEEDAXgIE5PYaD1qDAAIIIIAAAggg4DABAnKHDTjdRQABBBBAAAEEELCXAAG5vcaD1iCAAAIIIIAAAgg4TICA3GEDTncRQAABBBBAAAEE7CVAQG6v8aA1CCCAAAIIIIAAAg4TICB32IDTXQQQQAABBBBAAAF7CRCQ22s8aA0CCCCAAAIIIICAwwQIyB024HQXAQQQQAABBBBAwF4CBOT2Gg9agwACCCCAAAIIIOAwAQJyhw043UUAAQQQQAABBBCwlwABub3Gg9YggAACCCCAAAIIOEyAgNxhA053EUAAAQQQQAABBOwlQEBur/GgNQgggAACCCCAAAIOEyAgd9iA010EEEAAAQQQQAABewkQkNtrPGgNAggggAACCCCAgMMECMgdNuB0FwEEEEAAAQQQQMBeAgTk9hoPWoMAAggggAACCCDgMAECcocNON1FAAEEEEAAAQQQsJcAAbm9xoPWIIAAAggggAACCDhMgIDcYQNOdxFAAAEEEEAAAQTsJUBAbq/xoDUIIIAAAggggAACDhMgIHfYgNNdBBBAAAEEEEAAAXsJEJDbazxoDQIIIIAAAggggIDDBAjIHTbgdBcBBBBAAAEEEEDAXgIE5PYaD1qDAAIIIIAAAggg4DABAnKHDTjdRQABBBBAAAEEELCXAAG5vcaD1iCAAAIIIIAAAgg4TOB3v6nNYX2muwgggAACCCCAQEgFElrGh7R8f4Vn78rx9zbv2VCAGXIbDgpNQgABBBBAAAEEEHCOADPkzhlreooAAggggAACCCBgQwFmyG04KDQJAQQQQAABBBBAwDkCBOTOGWt6igACCCCAAAIIIGBDAQJyGw4KTUIAAQQQQAABBBBwjgABuXPGmp4igAACCCCAAAII2FCAgNyGg0KTEEAAAQQQQAABBJwjQEDunLGmpwgggAACCCCAAAI2FCAgt+Gg0CQEEEAAAQQQQAAB5wgQkDtnrOkpAggggAACCCCAgA0FCMhtOCg0CQEEEEAAAQQQQMA5AgTkzhlreooAAggggAACCCBgQwECchsOCk1CAAEEEEAAAQQQcI4AAblzxpqeIoAAAggggAACCNhQgIDchoNCkxBAAAEEEEAAAQScI0BA7pyxpqcIIIAAAggggAACNhQgILfhoNAkBBBAAAEEEEAAAecIEJA7Z6zpKQIIIIAAAggggIANBQjIbTgoNAkBBBBAAAEEEEDAOQIE5M4Za3qKAAIIIIAAAgggYEMBAnIbDgpNQgABBBBAAAEEEHCOAAG5c8aaniKAAAIIIIAAAgjYUICA3IaDQpMQQAABBBBAAAEEnCNAQO6csaanCCCAAAIIIIAAAjYUICC34aDQJAQQQAABBBBAAAHnCBCQO2es6SkCCCCAAAIIIICADQUIyG04KDQJAQQQQAABBBBAwDkCBOTOGWt6igACCCCAAAIIIGBDAQJyGw4KTUIAAQQQQAABBBBwjgABuXPGmp4igAACCCCAAAII2FCAgNyGg0KTEEAAAQQQQAABBJwjQEDunLGmpwgggAACCCCAAAI2FCAgt+Gg0CQEEEAAAQQQQAAB5wgQkDtnrOkpAggggAACCCCAgA0FCMhtOCg0CQEEEEAAAQQQQMA5AgTkzhlreooAAggggAACCCBgQwECchsOCk1CAAEEEEAAAQQQcI4AAblzxpqeIoAAAggggAACCNhQgIDchoNCkxBAAAEEEEAAAQScI0BA7pyxpqcIIIAAAggggAACNhQgILfhoNAkBBBAAAEEEEAAAecIEJA7Z6zpKQIIIIAAAggggIANBQjIbTgoNAkBBBBAAAEEEEDAOQIE5M4Za3qKAAIIIIAAAgggYEMBAnIbDgpNQgABBBBAAAEEEHCOAAG5c8aaniKAAAIIIIAAAgjYUICA3IaDQpMQQAABBBBAAAEEnCNAQO6csaanCCCAAAIIIIAAAjYUICC34aDQJAQQQAABBBBAAAHnCBCQO2es6SkCCCCAAAIIIICADQUIyG04KDQJAQQQQAABBBBAwDkCBOTOGWt6igACCCCAAAIIIGBDAQJyGw4KTUIAAQQQQAABBBBwjgABuXPGmp4igAACCCCAAAII2FCAgNyGg0KTEEAAAQQQQAABBJwjQEDunLGmpwgggAACCCCAAAI2FCAgt+Gg0CQEEEAAAQQQQAAB5wgQkDtnrOkpAggggAACCCCAgA0FCMhtOCg0CQEEEEAAAQQQQMA5AlWc01V6igACCCCAAAIIhEcgoWV8eCryUUv2rhwfr/KSnQWYIbfz6NA2BBBAAAEEEEAAgUovwAx5pR9iOogAAggggAACkRLoO+DGsFW9bMmisNVFRdYKMENurSelIYAAAggggAACCCAQlAABeVBc7IwAAggggAACCCCAgLUCBOTWelIaAggggAACCCCAAAJBCRCQB8XFzggggAACCCCAAAIIWCtAQG6tJ6UhgAACCCCAAAIIIBCUAAF5UFzsjAACCCCAAAIIIICAtQIE5NZ6UhoCCCCAAAIIIIAAAkEJEJAHxcXOCCCAAAIIIIAAAghYK0BAbq0npSGAAAIIIIAAAgggEJQAAXlQXOyMAAIIIIAAAggggIC1AgTk1npSGgIIIIAAAggggAACQQkQkAfFxc4IIIAAAggggAACCFgrQEBurSelIYAAAggggAACCCAQlAABeVBc7IwAAggggAACCCCAgLUCBOTWelIaAggggAACCCCAAAJBCRCQB8XFzggggAACCCCAAAIIWCtAQG6tJ6UhgAACCCCAAAIIIBCUAAF5UFzsjAACCCCAAAIIIICAtQIE5NZ6UhoCCCCAAAIIIIAAAkEJEJAHxcXOCCCAAAIIIIAAAghYK0BAbq0npSGAAAIIIIAAAgggEJQAAXlQXOyMAAIIIIAAAggggIC1AgTk1npSGgIIIIAAAggggAACQQkQkAfFxc4IIIAAAggggAACCFgrQEBurSelIYAAAggggAACCCAQlAABeVBc7IwAAggggAACCCCAgLUCBOTWelIaAggggAACCCCAAAJBCRCQB8XFzggggAACCCCAAAIIWCtAQG6tJ6UhgAACCCCAAAIIIBCUQJWg9mZnBBBAAAEEHCSwf/9+2bJ5i+zbt9fT69OnT8upn0/JWWedJbVq15INH2/wvOfrwQ8//CA//vijNGrUSKpUcdb/dnXfa9SoUe5+N2vWTJrGNTVYO3bqJK1btzYs35zzpnz15ZfG63qfzpdfLtf3vd4XP68hEBUCzvrLEBVDQiMRQAABBCItsHPHTnnqH/+QdWvXFmmKDqh/+eWXIq+d16ChVKtWtchr3k9OqmA8Ly9Pvs3Olnr160tsbKz325X2sdnvBg0aSNVq1crVz4/Wrxf9Ach7q1q1qpw5c8b7JXntP/+R9etvkQkTJxZ5nScIRIsAAXm0jBTtRAABBBAIi4CezR46eLAcP37cU19MTIwUFBRInbr1pEXLltKwcWOpW7euCq5LD8Q9B6sHe3O/k3WrM+TggQPSsfPlcknipd5vV7rHOd9my9qMdNEfVq7vP6DC/Tt58qScPPmjHFTfWOzetUsOHzpolHmWGpdf1bjo7e0335IhQ4dKUlKS8Zz/IBBNAgTk0TRatBUBBBBAIOQCy5Yu8wTjZiDe+PzzJTGpgzRs2Khc9TeNayb9bhwsH3+4VjZv/FT2f79Prriqu7Gco1wF2vigvGPH5JOP1hvB+DV9+ljSUr3sRf9of/1hRgfo2z7/THTgf8YdkOuKNm/aREBuiTiFhFuAizrDLU59CCCAAAK2FjhxwjUzrpen6FnxK668Snpd26fcwbjZWR1Q6nL0DPne3Fx5Z9ECY+bcfL8y/NaB8opl7xhdubJb94C/QQi279qyS9crpb/6kBN/QYJxuB6vw4cOB1sU+yNgCwECclsMA41AAAEEELCLwEUXX2xchKiXQwwYNETatG1nadP0DK8ut2q16vLBeytkg5pNzs8vuiba0grDVJjuw+pVHxhrvlOuuVYt76kb8pp1YN49OUV90LlO9Hi9OWeO6PX/bAhEmwBLVqJtxGgvAggggEBIBXTWFH3hZnc1wxuqoFKX22/gQLV8ZaN8s/0r+W7PbumgZs5r1aoV0r6FqnC9lOTjDz801nbrALm8S3vK2z69JKhP337G7PwQtf5//oIF0qp1q/IWx3EIhF2AgDzs5FSIAAIIIGBXAZ3m8KUXXpAL213kWQoRirbqizx11pVvd+4wiv9JLfX4UF30Ge2bXmvfsFHjiHRDf8i5zh2U64tyl7//njRWF9+yIRANAgTk0TBKtBEBBBBAICwC/3rxJalWvbpa5905JPUdPHhANn/6iZFtpUbNmnJ1Sk9p1qy5ugCygUqdWL7UgCFpaBCF/vzzT/L5Z5/JF1s/Vxerfi/z337TWCd/Ybt2IVtDXlrzPEH5u0tl1Mj7ZNGSxaXtyusI2EqAgNxWw0FjEEAAAQQiJaBnx+e88YYRTAaazjCYtuqAVWdY0YH44Jtulh49rpbqZ58dTBG23ffiS9qrtt1uzPovfWeJ0c+dO7LUB45eIVv2UxqGDso7dOwkH6//UGbOmCHDR4wobVdeR8A2AlzUaZuhoCEIIIAAApEUWLN6jVF9fIL1a4/1hZs6GL8gIUH+8re/y7XX9ak0wbj3mOn+/c9Dj8i9o+431uG/t3yZkZrQe59wPNYX4jaNi5MXX3hR9ActNgTsLkBAbvcRon0IIIAAAmER0Bk69I1sdOYOKzcdjOsLN/XylHHj/6xuKFTPyuJtWVYndYHqY+NSRedx1zcI0mvmw73pPO8n1M2d9DIkNgTsLkBAbvcRon0IIIAAAiEX0LOoX2zbJq3btLG0Ln3jGh2MX97lCrn1D7dbWrbdC2vSpIkRlOslOh+uXSP6hkHh3PQHK31xrl6GxCx5OOWpqzwCBOTlUeMYBBBAAIFKJbAjy5XtpE4962av9U1yPt3wsTRSmT7+cPsdlcor0M6YQbmeKf94/bqw51tvf+llRlOXvuO6WVGg7WY/BMItQEBeXDwvUxa+PFYGto6XhJbmTxu5csxKyfPe93ie5BV4vxDFj0vtS5bM7N/O7dBOBs7IiuJO0nQRxpOzAIHSBL755mvjLSvzZ2/ZtFFO/fyz3HXPiEq5Xrw0y+Kv66B80OChRmaZb7ZvL/52SJ/rWXK9lvz1/7wW0nooHIGKChCQewvmrZRx190sj02eK9vyvd/IlyNHTogr/j4imXNTZeCVkyTzV+99ovFxZepLNPrTZgQQsIvAurXrjMDNqvbo9IY6x7heN64vdHT61q1HD7kkMdG4sFV/cxDOLaF1G8nNzRU9xmwI2FWAgNwzMj9J5vSnZd7+IpG4+91YadSmhdTJ+1jS+ifLkDFvFQvYPYVEz4PK1JfoUaelCCBgU4Hdu3dL1arW5QHfpvJy67XTgwYPsWmPw9+s2/94p1Hplyr9Yzi3uGbNjOo2qruisiFgVwECcnNkCrbLyndy3M9ipXHPVJn/2U7J3pWjfrJkzdiOEnPsC/lo6wnziOj+XZn6Et0jQesRQMAGAt/t2SP16te3pCV6Bjj3uz3S+fLfO3qpSnFMnV1Gf2Ow/asvJZyz5DqnvF62smb16uJN4jkCthEgIDeH4tfjcvSwOTseLwMevE2S6sSY7/IbAQQQkHeXvSvD776HjA2V7FwwM3BUrVrVkp7prCp669O3ryXlVaZCdECuN9MoXH1rfH4TI4vOjz/+GK4qqQeBoAQIyH1ynSv16sT6fIcXEUDAeQI6EE9Wa2D/9MADkpGeLt+r24OzVR4BczytyrCyZ/cuY924E/KNB3sW6As89Zp6bRTOraHKdKO3HTtc2XTCWTd1IRCIAAF5IErsgwACjhTwDsT37N7jSAM6HZyAXorxQ16eXKluSsPmW0DbaKNw5iWvW7eu0ZjNmzb5bhSvIhBhgSoRrt+S6gtyMuS1D76Qb96ZIfOKrfGOTbxJHu53hVw+tJ+PJSh5kjGmjwyfW/y2uhtlUnIbmeSvdafmyvDWc117VL9JZm6bIsm+JtULciTjP+/LxvVvyPRVuYUlxibK0NFD5dprh0hyfPXC10s80qnqBsikradE3PV0z82QV6c9L0/P3SrGIhtd1piH5L67k6VlGats8tPHymV3zxVVWuEWaF/MI3RqyLffltee8cpGE3B/zELU7wrbeJUV6MPS6mzcU0bec4P09nme6MLLPw7lPz+Ld6pA8jLfkfmffCxLve31bkb7r5bOvco6n4qXqZ5bNZ4+io7Wl3QgzvKVqgAAGIZJREFUPjVtiprFIwiP1jGMVLsPHnD9/yShdetINcH29V6S2N5oo7aq4w6UQ91ovY68WrVq6o6he0NdFeUjUC6B6A7IVXD1wZ8fkgffdAemPgjyt86VNPUjaa/JyLdnyJiO1ly046OqYi+dkl0rp8hD9//bd0aW/K0yb7L+SZP2t06W5/9xfZnBtFGBSs04/pYHimaDUWUt3nBMHhtRrAmWP9V9+pvvPnn6M116P/NveWlwgpT+2SBENn77W0ad+1fJ9AnqJ+1VGfav5+XvveP9tF9VFMg4WHl+FmTLwlF3ymPve32o8+6v2f4JwZxPVo2nd0Oi+zGBeHSPX3lbb86a1qhRs7xFeI47dvSo8VgvzWDzLaCX8uibJR04cEDatG3ne6cQvHpegwayc+fOEJRMkQhUXCB6l6wYAcodMtJPMF6EJz9Tpg97UGZmF5kbLrKLdU9UoLPgMbltRCnBeJGKTsi2Nx+S20bNlV1l3mhon7w3YULRYNwoq450u76LhPajRoEceic1gD7lysrR98szmT8V6WXhk1DZFNZQ8tEpyZ5xl1w3IoDxUB8s3h5xl4xPP1SyGM8rAYyDpefnIcl4/J7Sg3FPu/QDfT6Nk0dnf+3Om1/kTa8nVo2nV5FR/JClKVE8eBY2Xd9EpqKbXoah822z+RdooW68d/TIYf87WfyuTmv53XffWVwqxSFgjUCUBuQFcmTxFEn1zBbWkvY3pcrMjO3uNIU6VWGOZGXMlidG9ZTGplX+Znl9/pdegUodSU772HXMjtky1LNypLM8npFVpCwj/WFGqri+aFMF6uUjO1z1ZH9ddLlKQfbr8ui4peL64lJEL5sZ88xC2WykUPTVtnzZ//5TZQdRpz6UeYt3G8sTHpidLllGeTtl86IX5P6ejcxe+v0dmzJFvtTHBdiXwsJUG7d+qfqkU0LeJ1MXbSr0+WyhTL4pUb1jblky+8UVcsR86vU7ZDZedRR/qOscm7bBtbxHv6mX14yfLauy3eO3a5PMT7tF2ns6sFvmpT4nGaXdirXMcbDq/HT1pCBztvx1rhp3Y4uTlFHPeKXk1H3Q58AzMrJnnHufE5KZ9qwsOeLvE5414+muMGp/EYhH7dDZtuGH1A2BzjuvgW3bZ5eGNWvePKxryHW/dVpLnd6SDQE7CkRnQF7wmcx6brU7wKolSePnyoK0ESXWYsfEJ8tdY1+U18Z3cQeL+ZK7fouE9vPxPlky8V+SaSzuVh8URr0pG/47RUYOTpI6XmeAq23TZdmCB92BYCBBlC6gjYyc9k95JMVcUhEjdZKu8rE+3qsyyx7q/vxHls0aK4OSvObj6yTJ0LSZMu2mFp6a8r/ZIXtKxIOhtvFU7/XAu071cuMbZOr7/yeTR3ivt68vSTdNlAUrUiXJDMr3L5c3Vx3wKqf4Qz/jYOn5qdaNf5stZktiez4sk8cOKjbe+hwYJGNemSGPd6jlamj+Rlm+2jyqeNvN5xUdT7Oc6PtNIB59YxYtLT516pTUP++8aGluxNp5ztnnGHWH88LOiHWWihEIQCA6A/K83bLjgDtneGwXuXVQaz/rfatLQq8UaWtiZO2UHPeh5kuW/j6yQZavzXMVGXebPPnoFUUC8aJ1qUCq4yh5cngb18uBBFFxKdI70fWHrGhZYXjmtz8NpPstfcSco5XDRyXv12JtCrVNseqMp951qpFIeexxGVTKRbQxCX3l1u7mx6Y8+eiTbwpn1YuX7W8cLD0/f5UTR/MK23EoR3aVNnMf01aGL9zq/uYiU2YMLmMNa0XHs7hJFDwnEI+CQaKJjhDQN+rR25n8M47oL51EoCyB6Lyos/4gmbFjUFl9K3y/dn1poGc+QxmIG7WppQqrV8g6o55YievXSxJLv7LR3b5zJPGaFImbliW54g4CVSBlTtQWdkI/CrTMokdZ86zsumOat5Y2quG5uv+n1FIK9SA53uxJqG189zL/80/kI3PcYztLn6v9Le1pIoNmZUrZZ1YZFpaen7HSrFNH9UFnozo/1Cm89UW5qfNalaHnBmkV00A6lpoVxrdH4atl9EHt6H88C0uKhkf6ZiCXXuJZcFbhJg+5seyzpMKVUIClAnrZIRsCCCBgV4HoDMjL1FQXDqbPlw+yf1ap9XaWTBFX5vHl3eG07Nm52x33q+Ux04ZIm2nBlXXq652yV9RyCp+HxUjderX8fBvg8yCLXgyg7tp1pb7+AGIGwEVqDrVNkcrcT/Jlr1on7rmMt1GCxFty99UALHw1x/NacOdnTOIAub3DHJm05YSrBHdGG+PJhIfVL72u/A/y+1aXy5BiS6M8VZZ4EEAf/I5niQJt/YKVwbitO0rjEEAAAQSiUiDqA3JXjucsObShWJ7viAzHGck7crxiNbuX1LQ0J5YrVpqNjraBTb16UrfMbyysJbPk/NRLUWa/KjL6IZnkncve09RcSZ82WdLV80mjXRc4P5k6tNg6c8/OjnygZ0f1LPnbb70lL/7zBTlxwv3hppwa8xctlKSkpHIezWEIIIAAAggUFYjegDyAHM9Fu8ozBMIoYPX5WaejDJ+1WoboGwO9v1TdGGqVJ4tP0V6ptIdzH5cha9fL1LemlrpevugxznhWs2ZNGT5ihAy75RbLAnNnyNFLBKwXOHrUlYerqrphDxsCCIhEZ0Du9yYpOi3fXXJXF/dV7vU6yZAOm+TO5ImyLeQjXlXq1K+tatEJD6tL+/FLZPEI9wWbIa/b7hXYwEbdsOOYyvzSMtSz5CE7P3U2lYEyXP+Mdd+1c9MBOerr26H9SyX1qWTpMWtQiPPT2/28K9k+AvOSJrxircCRw+HNr21t68NT2pEjroA8XHfqDE+vqAWB8gtEYUCuApE1s+QZTw5yvX72Ybl/5IDSv6LP2VR+oaCOrCbNW7VQl15mqWXUp+TrDV/IERWQeyUIDKq0yrVzJGxipWlCvPpotNG1jvxAtuSoDCVJxkL3UnRzZshAz4c3nY9+jgz3XJhayjFFXg7X+WkG56ryESNljMqun5e5RF558TmZ7l7Wkr92haw5MkAG+etvkbY76wmBubPGO1y9bd6ipRw+7O/GYuFqib3r0fnAq1f33PwjLI09qj4EnHvuuWGpi0oQCFYgCtMeqnzdKzLcX9erTBGjnpeXS+Rl9mZQ2T22bJSvvV8K2WMVJF2QIGYej/y182RRmXcGVe1bcK+0VXctS1A/be9Z6POGOiFrctgKjoxN7KW/l67mevwy00oWO1fiOkrH5ubBgUJZfX5mycz+7YxzI6HltZJW6h1QdYCucpG//PfCG1zl58nR48VzTwbaD+fsZwbmH378kTw+PlVq1XLncncOAT11C+RbkILv7HPOkZxvv8W0DIHd6rqO8xo0LGMva98+c+a0XHzJJdYWSmkIWCQQhQF5MD1X2SxWPiX3jFvpO/FHMEUFuK8rI4b7f+j5G+Tph1+SzaXljVZlFmTPlpGe9rWQgbd1q7Qz6hGxqd9F+njlFk+fOkkW5njyrhQZ1YKcBTJ+qnnDqbLTAhY5uFxPAjk/46Tjlc3dpas7oP5jjmSXuOFSYeUFe3bKTvP96upDXlywHygKy3LaIwJzp414YX8vvNB1p4pj6rb3Fd3qqYvHT6oLiPft21fRoirt8ceOHZUD+/dLo8ae+2iHpa/Hj5+Qhg25i2pYsKkkaIEoDMhrSHzrZu6O6tSCD8l9UxZKZpGg94hkLpghaff0lp4j/i3bvNPwFRyTY8fNiCVILzOfuT7s1Cfy3jofX0vGtJYhD94g5p8ZV97oQTLu5cVF25iXKQtfHiuDr5vovqunyjLe4TYZ0SNMfywC6UuQPGXuHhGbJjIg9X6vO3AulceuuVnGzciQXZ7TQJ8vU+S+W56QlfvdJ0vjIfLXkZeVI8Wk1eenylM/ZIin/flbJkrfG8fK9AWZKmu916YuIs2YPUnuu22q+3xS11L07+U5zmtPHpYhQGBeBlAlfLtmrZqW9aphI9df/+wdOywrs7IVlL1zp9GlhmEOyE8c/0HaXXRRZeOkP5VEIArXkMdKy0HDJCVto6QbsZNO+Tba+AloTMyv8cuzrrZIXubdMu/uy2WerjS2t0zdMM29VlctHUj5i7w2Pkf6Ttjgmpk38kY/LPMm65zRpWzqlu4Tn7ldEkJ9waFZfUB9MXe26ndkbGISbpenJ2+V20YvdS110uMx4W71U1q/WsjQiQ9Lcrlyllt/fur2TxmT7jmf8rfOlbTR+qe09qvX1QeKp1JT/Nwl1s+xvGUImIE5WVk4IYIR0Bcp6p9vvvlauvXoEcyhjtn3s8xMqX722Wq22lzgGfquHzx4wKjE/DYk9DVSAwLBCUThDLnqYP0BMvXtB6V9IN/GN+4pD8x+XSb3NG+JvkM+2eJjZjsQt9hL5Nr+LUrumb9bdu457fV6dUkY8aqsmHFnQG2MTbxTpoc7RV3AffHqliUPI2FTXVoOnipzAhmP2EQZNuNVmZBSgW8qLD8/tdmL8tb43p5vXvwNhet8+ks5P1D4K9mZ75mBubnG/Ioru0qtmqwzr0xnw/nnn290J09lYrJia9T4fPl0w8eil2awFRXQJtqmhbpmKpybObat27QOZ7XUhUDAAtEZkKuFBHU6jpbFGxfK1PH3SkrjYpG5CqqGjkuVJ2anS9aGmfJIyhWScn1n9+3o82TduxvKeeFkA0lOWyDzn7mvWJ3H5eixM8XQVRDY+0lZ/HW6zPzLOBnZM67Y+zo7zDijjV/+90npFR/eq81FgulLsaZX+GkkbLzrfESGJhYLqNQHt5Hjn5P56pya0Du+HEtVvFFCcX7Wl6QRr8jajNnyhK9z3rhbZyTPJ+/+V87HZmD+xpw50qp1q8rZSYf2qrF76cSZM8X/jpcPpG0717KITz/5pHwFVOKj1mRkGL0zjcLV1f3ffy/NmjcXc6zDVS/1IBCowO9+U1ugO7MfAggggAAClVGgw6WXSeMmTaVL1yst6d7ypf+VkydPyqQpU43lGZYUGuWF6Nnxvz/5F6lbt570vObasPbm7Tdek5uHDZMn//bXsNWrM6fpre+AG8NW57Ili4y69N2J2aJLIEpnyKMLmdYigAACCNhbQKfD+/HEccsa2faii41sK2vWrLaszGgvaMG8eYZJ+8suC2tX9uZ+J6dPn5aUnj3DWi+VIRCMAAF5MFrsiwACCCBQKQWSOnSQvbm5lvUtXt2TolnzFrLi3WWsJVeqX36xzVg73k59UAnnxZx6QPVNiGrVri3dunezbHwpCAGrBQjIrRalPAQQQACBqBNo29aVizzPglzkZuc7dOpszAhP/9dL5kuO/K2Xqsx8ZbpxZ86kTp3CaqBv9vTN9q/kxhvDt2wkrB2kskojQEBeaYaSjiCAAAIIlFegQ8cOxqEHD+wvbxEljtPpDzt2vly+zc6WN994vcT7Tnjh1M8/i/5Aom+WlNz7GomNrRrWbn+zfbtR38hR94W1XipDIFgBAvJgxdgfAQQQQKDSCejsGzoLh87GYeV2SeKlckGr1rI6fZXjgnIdjD//7NPGB5LuySlhX6qiZ8e/2LZVelx9NdlVrDypKSskAgTkIWGlUAQQQACBaBPoP2CA5HybLTqQs3Lr0rWrNGjY0BOU60C1sm/79u2TCf/4mycY12vqw71t3rhRTp86Janjx4e7aupDIGgBAvKgyTgAAQQQQKAyCvTv39/olrnMwao+6mUa1/cboG7bfrERlJuBqlXl26kc/WFj8cIF8tcnUuWHH34QPTMeiWBc35lTrx2/7/5R3DfATicIbSlVoEqp7/AGAggggAACDhLQN3y6qls3+fzzrXJhu3aWr3e+/Iqu0rRZM/lQpUKcPOEf0kgtk7nm2j7SNC5OmjRpErX5yvVs+L69uZL1zTfGBw59ysQ1ay5drrxKatSoEfYzSH/Dkf7+e9K8RQsZdf/9Ya+fChEojwA3BiqPGscggAACCFRKgczMTBly4yDjYky9/jsUmyvzx3bZuSNLfsjLC0UVEStTfwvQMiEh7OvFzQ5r2/eXL5fDhw7KeytXRnR2nBsDmaPC70AEmCEPRIl9EEAAAQQcIZCUlCT91NKVd/77X2OWV2dKsXrTS1h0sK9/9N08V6541wjM9dKOevXrW11dyMo7dPCg7Nm9S6pUqSKXdewkF1/SPmR1BVKwdzD+wksvRTQYD6S97IOAtwABubcGjxFAAAEEHC/w+PhUWbZ0qaxY9o5c17efhCIoN5G3ff6ZEYxfoZZ3tGnbznw5an7rvO3pH6yUTZ9skBPHj6tvFjpbvtQnEAzdjvXr1hoz4zoYv77v9YEcxj4I2EaAizptMxQ0BAEEEEDADgKrM1bLr7/+Kr/88osRlOsLBEOxZX293bjw8MJ2F0VlMK5N9IeVfgMHqjX3Fxl9eWfxYrHy5kqBuH+x9XNZsnC+HD1yWG4eNoxgPBA09rGdAAG57YaEBiGAAAIIRFLgxInjRvUFBQVGUL78nf/Kho/WW5oOUadX/Hj9h3Jeg4bSpeuVkexuhevWS3B0H3pde52cOX3KCI51kBzKTS9P0YYL582VzRs/lbPOOsv4EHVBwgWhrJayEQiZAEtWQkZLwQgggAAC0SjQ0ev27jooj4mJMWZ/dRo9PROsbyDUsFGjci/N0DPIn6gAXwfj1/TpE41EPtvcNK6Z9LtxsHz84VojSN7//T654qrulmVa0evt9Z1UD+zfL7tUMH769GkjENeN0d9o6K1Jk6bGb/6DQLQJkGUl2kaM9iKAAAIIhFzg3WXvyuNjx8qP6pbv3psOznWQrrdq1aqpoLqB99sBPf5epQnUmz42NjY2oGOibSe9nvy4+tEz1/rDi3aryLY3N9dzuFmWOQ7mG5dedpksXLzIfBrx32RZifgQRFUDmCGPquGisQgggAAC4RDQFwV26NhB1qxeI5+qCxb37PnOU60O0mNVZpFatWsbM7M66Axm+/HHE9KiRUs555xzgjks6vb96aefZLfKwtLk/POlqvrwUt5Nf/Dp2bOnytfeVMxvL16dNVu+//57o0id5aVnr54y7JZbylsFxyEQcQFmyCM+BDQAAQQQQAABBCqbADPklW1EQ9uf4D7Wh7YtlI4AAggggAACCCCAgOMECMgdN+R0GAEEEEAAAQQQQMBOAgTkdhoN2oIAAggggAACCCDgOAECcscNOR1GAAEEEEAAAQQQsJMAAbmdRoO2IIAAAggggAACCDhOgIDccUNOhxFAAAEEEEAAAQTsJEBAbqfRoC0IIIAAAggggAACjhMgIHfckNNhBBBAAAEEEEAAATsJEJDbaTRoCwIIIIAAAggggIDjBAjIHTfkdBgBBBBAAAEEEEDATgIE5HYaDdqCAAIIIIAAAggg4DgBAnLHDTkdRgABBBBAAAEEELCTAAG5nUaDtiCAAAIIIIAAAgg4ToCA3HFDTocRQAABBBBAAAEE7CRAQG6n0aAtCCCAAAIIIIAAAo4TICB33JDTYQQQQAABBBBAAAE7CRCQ22k0aAsCCCCAAAIIIICA4wQIyB035HQYAQQQQAABBBBAwE4CBOR2Gg3aggACCCCAAAIIIOA4AQJyxw05HUYAAQQQQAABBBCwkwABuZ1Gg7YggAACCCCAAAIIOE6AgNxxQ06HEUAAAQQQQAABBOwkQEBup9GgLQgggAACCCCAAAKOEyAgd9yQ02EEEEAAAQQQQAABOwkQkNtpNGgLAggggAACCCCAgOMECMgdN+R0GAEEEEAAAQQQQMBOAgTkdhoN2oIAAggggAACCCDgOAECcscNOR1GAAEEEEAAAQQQsJMAAbmdRoO2IIAAAggggAACCDhO4He/qc1xvabDCCCAAAIIIIBACAUSWsaHsHT/RWfvyvG/A+/aToAZctsNCQ1CAAEEEEAAAQQQcJIAM+ROGm36igACCCCAAAIIIGA7AWbIbTckNAgBBBBAAAEEEEDASQIE5E4abfqKAAIIIIAAAgggYDsBAnLbDQkNQgABBBBAAAEEEHCSAAG5k0abviKAAAIIIIAAAgjYToCA3HZDQoMQQAABBBBAAAEEnCRAQO6k0aavCCCAAAIIIIAAArYTICC33ZDQIAQQQAABBBBAAAEnCRCQO2m06SsCCCCAAAIIIICA7QQIyG03JDQIAQQQQAABBBBAwEkCBOROGm36igACCCCAAAIIIGA7AQJy2w0JDUIAAQQQQAABBBBwkgABuZNGm74igAACCCCAAAII2E6AgNx2Q0KDEEAAAQQQQAABBJwkQEDupNGmrwgggAACCCCAAAK2EyAgt92Q0CAEEEAAAQQQQAABJwkQkDtptOkrAggggAACCCCAgO0ECMhtNyQ0CAEEEEAAAQQQQMBJAgTkThpt+ooAAggggAACCCBgO4H/D6rpvhf+noh7AAAAAElFTkSuQmCC" 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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" 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>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>total momentum does not change/is constant; } <em>(do not allow “momentum is conserved”)</em><br>provided external force is zero / no external forces / isolated system;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) clear attempt to calculate area under graph;<br>initial momentum is half change in momentum;<br>\(\left( {\frac{1}{2} \times \frac{1}{2} \times 24 \times 0.16} \right) = 0.96\left( {{\rm{kgm}}{{\rm{s}}^{ - 1}}} \right)\)<br><em>Award <strong>[2 max]</strong> for calculation of total change (1.92kg ms<sup>–1</sup>)</em></p>
<p>(ii) initial speed \( = \left( {\frac{{0.96}}{{0.8}} = } \right)1.2{\rm{m}}{{\rm{s}}^{ - 1}}\);<br>\(a = \frac{{1.2 - \left( { - 1.2} \right)}}{{0.16}}\) <em><strong>or </strong></em>\(a = \frac{{ - 1.2 - 1.2}}{{0.16}}\);<br>–15(ms<sup>–2</sup>); <em>(must see negative sign or a comment that this is a deceleration)</em></p>
<p><em><strong>or</strong></em><br>average force =12 N;<br>uses <em>F</em>=0.8×a ;<br>–15(ms<sup>–2</sup>); <em>(must see negative sign or a comment that this is a deceleration)</em><br><em>Award <strong>[3]</strong> for a bald correct answer.</em><br><em>Other solution methods involving different kinematic equations are possible.</em></p>
<p>(iii) goes through <em>t</em>=0.08s <strong>and</strong> from negative momentum to positive / positive momentum to negative;<br>constant sign of gradient throughout;<br>curve as shown;<br><em>Award marks for diagram as shown.</em></p>
<p><em><img src="data:image/png;base64,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" alt width="813" height="263"></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>impulse is the same/similar in both cases / momentum change is same;<br>impulse is force × time / force is rate of change of momentum;<br>time to come to rest is longer for car B;<br>force experienced by car B is less (so less likely to be damaged);</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>electric force per unit charge;<br>acting on a small/point positive (test) charge;</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) states Coulomb’s law as \(\frac{{kQq}}{{{r^2}}}\) <em><strong>or </strong></em>\(\frac{F}{q} = \frac{{kQ}}{{{r^2}}}\)<br>states explicitly q=1;<br>states r=a;</p>
<p>(ii) <img src="data:image/png;base64,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" alt></p>
<p>arrow labelled A pointing to lower right charge;<br>arrow labelled B point to lower left charge;<br><em>Arrows can be anywhere on diagram.</em></p>
<p>(iii) overall force is due to +Q top left and -Q bottom right / top right and bottom left and centre charges all cancel; } <em>(can be seen on diagram)<br></em>force is therefore \(\frac{{2kQ}}{{{a^2}}}\);</p>
<p>2.6×106 (N C<sup>-1</sup>) ;<br>towards bottom right charge; <em>(allow clear arrow on diagram showing direction)</em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br>