File "markscheme-HL-paper2.html"
Path: /IB QUESTIONBANKS/4 Fourth Edition - PAPER/HTML/Physics/Topic 8 HTML/markscheme-HL-paper2html
File size: 468.34 KB
MIME-type: text/html
Charset: utf-8
<!DOCTYPE html>
<html>
<meta http-equiv="content-type" content="text/html;charset=utf-8">
<head>
<meta charset="utf-8">
<title>IB Questionbank</title>
<link rel="stylesheet" media="all" href="css/application-212ef6a30de2a281f3295db168f85ac1c6eb97815f52f785535f1adfaee1ef4f.css">
<link rel="stylesheet" media="print" href="css/print-6da094505524acaa25ea39a4dd5d6130a436fc43336c0bb89199951b860e98e9.css">
<script src="js/application-13d27c3a5846e837c0ce48b604dc257852658574909702fa21f9891f7bb643ed.js"></script>
<script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML-full"></script>
<!--[if lt IE 9]>
<script src='https://cdnjs.cloudflare.com/ajax/libs/html5shiv/3.7.3/html5shiv.min.js'></script>
<![endif]-->
<meta name="csrf-param" content="authenticity_token">
<meta name="csrf-token" content="iHF+M3VlRFlNEehLVICYgYgqiF8jIFlzjGNjIwqOK9cFH3ZNdavBJrv/YQpz8vcspoICfQcFHW8kSsHnJsBwfg==">
<link href="favicon.ico" rel="shortcut icon">
</head>
<body class="teacher questions-show">
<div class="navbar navbar-fixed-top">
<div class="navbar-inner">
<div class="container">
<div class="brand">
<div class="inner"><a href="http://ibo.org/">ibo.org</a></div>
</div>
<ul class="nav">
<li>
<a href="../../index.html">Home</a>
</li>
<li class="active dropdown">
<a class="dropdown-toggle" data-toggle="dropdown" href="#">
Questionbanks
<b class="caret"></b>
</a><ul class="dropdown-menu">
<li>
<a href="../../geography.html" target="_blank">DP Geography</a>
</li>
<li>
<a href="../../physics.html" target="_blank">DP Physics</a>
</li>
<li>
<a href="../../chemistry.html" target="_blank">DP Chemistry</a>
</li>
<li>
<a href="../../biology.html" target="_blank">DP Biology</a>
</li>
<li>
<a href="../../furtherMath.html" target="_blank">DP Further Mathematics HL</a>
</li>
<li>
<a href="../../mathHL.html" target="_blank">DP Mathematics HL</a>
</li>
<li>
<a href="../../mathSL.html" target="_blank">DP Mathematics SL</a>
</li>
<li>
<a href="../../mathStudies.html" target="_blank">DP Mathematical Studies</a>
</li>
</ul></li>
<!-- - if current_user.is_language_services? && !current_user.is_publishing? -->
<!-- %li= link_to "Language services", tolk_path -->
</ul>
<ul class="nav pull-right">
<li>
<a href="https://06082010.xyz">IB Documents (2) Team</a>
</li></ul>
</div>
</div>
</div>
<div class="page-content container">
<div class="row">
<div class="span24">
</div>
</div>
<div class="page-header">
<div class="row">
<div class="span16">
<p class="back-to-list">
</p>
</div>
<div class="span8" style="margin: 0 0 -19px 0;">
<img style="width: 100%;" class="qb_logo" src="images/ib-qb-46-logo-683ef0176708d789b2acbf6ece48c55de4cd5ddac781fb455afe3540d22d050e.jpg" alt="Ib qb 46 logo">
</div>
</div>
</div><h2>HL Paper 2</h2><div class="specification">
<p class="p1">This question is about nuclear reactions.</p>
</div>
<div class="specification">
<p class="p1">A reaction that takes place in the core of a particular nuclear reactor is as shown.</p>
<p class="p1">\[_{\;92}^{235}{\text{U}} + {\text{X}} \to _{\;56}^{144}{\text{Ba}} + _{36}^{89}{\text{Kr}} + 3{\text{X}}\]</p>
</div>
<div class="specification">
<p class="p1">In the nuclear reactor, \(9.5 \times {10^{19}}\) fissions take place every second. Each fission gives rise to 200 MeV of energy that is available for conversion to electrical energy. The overall efficiency of the nuclear power station is 32%.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the nature of X.</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 class="p1">State <strong>one </strong>form of energy that is instantaneously released in the reaction.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the mass of U-235 that undergoes fission in the reactor every day.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the power output of the nuclear power station.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">In addition to the U-235, the nuclear reactor contains graphite that acts as a moderator. Explain the function of the moderator.</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">Outline how energy released in the nuclear reactor is transformed to electrical energy.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">neutron / \(_{\text{0}}^{\text{1}}{\text{n}}\);</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">kinetic energy / gamma radiation / binding energy;</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">number of fissions in one day \( = 9.5 \times {10^{19}} \times 24 \times 3600{\text{ }}( = 8.2 \times {10^{24}})\);</p>
<p class="p1">mass of uranium atom \( = 235 \times 1.661 \times {10^{ - 27}}{\text{ }}( = 3.9 \times {10^{ - 25}}{\text{ kg}})\);</p>
<p class="p1">mass of uranium in one day \(( = 8.2 \times {10^{24}} \times 3.9 \times {10^{ - 25}}) = 3.2{\text{ kg}}\);</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">energy per fission \( = 200 \times {10^6} \times 1.6 \times {10^{ - 19}}{\text{ }}( = 3.2 \times {10^{ - 11}}{\text{ J}})\);</p>
<p class="p1">power output \( = (9.5 \times {10^{19}} \times 3.2 \times {10^{ - 11}} \times 0.32 = ){\text{ }}9.7 \times {10^8}{\text{ W}}\);</p>
<p class="p1"><em>Award </em><strong><em>[1] </em></strong><em>for an answer of </em>\(6.1 \times {10^{27}}{\text{ eV}}{{\text{s}}^{ - 1}}\)<em>.</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">neutrons have to be slowed down (before next fission);</p>
<p class="p1">because the probability of fission is (much) greater (with neutrons of thermal energy);</p>
<p class="p1">neutrons collide with/transfer energy to atoms/molecules (of the moderator);</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">kinetic energy of neutrons/thermal energy of core is transferred into thermal energy</p>
<p class="p1">of the coolant (and elsewhere);</p>
<p class="p1">(thermal energy) is converted into kinetic energy in moving steam;</p>
<p class="p1">(kinetic energy of steam) is transferred into (rotational) kinetic energy of turbine;</p>
<p class="p1">(kinetic energy of turbine) is transferred into electrical energy by dynamo/generator;</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">X is a neutron and almost all answers were correct. G2 comments suggested that the term “State the nature of X” was rather vague. This is a helpful comment, but on this occasion candidates did not seem to be affected by it.</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Instantaneous energy release: Binding energy, (particle) kinetic energy, gamma radiation were all accepted. Heat energy was not accepted.</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Quite a few candidates found the mass defect rather than the mass of U-235 fissioned. The mass of a Uranium atom was often incorrect – candidates were expected to determine it from the mass number. A few stated the mass as 235g. Another common error was to find mass per second, rather than per day. However many correct answers were seen.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Working was often unclear. The power station efficiency of 0.32 was often overlooked. Whilst many candidates were eventually able to determine the power output of the power station in W, there were also answers giving the energy output per day. Quite a few candidates used eV/s and this was accepted for 1 mark.</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">There was some confusion between a moderator and control rods. However, most candidates knew that the graphite moderator slowed neutrons (due to inelastic collisions) to thermal energies to maximise the probability of further fission.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Outlining the energy transfers occurring in a nuclear power plant is a frequent question, but answers were often poorly organised. A simple flow diagram would suffice. Thermal energy of core > thermal energy of coolant > KE of steam > KE of turbine > Electrical energy from generator, or similar. Far too many candidates barely mentioned energy; “…heat up water to make steam which turns a turbine…” gained no marks.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about energy sources.</p>
<p>A small island is situated in the Arctic. The islanders require an electricity supply but have no fossil fuels on the island. It is suggested that wind generators should be used in combination with power stations using either oil or nuclear fuel.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest the conditions that would make use of wind generators in combination with either oil or nuclear fuel suitable for the islanders.</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>Conventional horizontal-axis wind generators have blades of length 4.7 m. The average wind speed on the island is 7.0 ms<sup>−1</sup> and the average air density is 1.29 kg m<sup>−3</sup>.</p>
<p>(i) Deduce the total energy, in GJ, generated by the wind generators in one year.</p>
<p>(ii) Explain why less energy can actually be generated by the wind generators than the value you deduced in (b)(i).</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">needs to be windy/high average wind speeds; space/land/room for wind turbines;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">ability to import oil/nuclear fuel;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">ability to dispose of nuclear waste;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">comment relating to need for geological stability; </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">(i) <span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">π</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">4.7</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 5.000000pt;">2 </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold; font-style: italic;">or </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">69.4 m</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">2</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">;</span><br>
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';"> power </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">15300 to 15400 W; 470 to 490 GJ;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">(ii) wind must retain kinetic energy to escape </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold; font-style: italic;">or </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">not all KE of wind can be converted to KE of blades;<br>energy lost to thermal energy (due to friction) in generator/turbine/dynamo;<br>turbine will suffer downtime when no wind/too much wind;<br></span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic;">Allow any two relevant factors. </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p class="p1">This question is about 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">\[\begin{array}{*{20}{l}} {{\text{Density of liquid fuel}}}&{ = 8.0 \times {{10}^2}{\text{ kg}}\,{{\text{m}}^{ - 3}}} \\ {{\text{Energy produced by 1 }}{{\text{m}}^{\text{3}}}{\text{ of liquid fuel}}}&{ = 2.7 \times {{10}^{10}}{\text{ J}}} \\ {{\text{Rate at which fuel is consumed}}}&{ = 0.13{\text{ g}}\,{{\text{s}}^{ - 1}}} \\ {{\text{Temperature at which air enters heater}}}&{ = 12{\text{ °C}}} \\ {{\text{Temperature at which air leaves heater}}}&{ = 32{\text{ °C}}} \\ {{\text{Specific heat capacity of air}}}&{ = 990{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}{{\text{K}}^{ - 1}}} \end{array}\]</p>
</div>
<div class="question">
<p class="p1">All the energy output of the room heater raises the temperature of the air moving through it. Use the data to calculate the mass of air that moves through the room heater in <strong>one </strong>second.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">\({\text{temperature change}} = {\text{20 (K)}}\);</p>
<p class="p1">\({\text{mass of air}} = \frac{{4400}}{{20 \times 990}}\);</p>
<p class="p1">\( = 0.22{\text{ kg}}\);</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for bald correct answer.</em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">Almost all could recognize that the temperature change was 20 K and could use their earlier value of power output. However the numerical manipulations were sometimes weak (often leading to ludicrously large air masses moving through the heater in 1 second.</p>
</div>
<br><hr><br><div class="specification">
<p>The Sun has a radius of 7.0×10<sup>8</sup>m and is a distance 1.5×10<sup>11</sup> m from Earth. The surface temperature of the Sun is 5800 K.</p>
</div>
<div class="question">
<p>The average surface temperature of the Earth is actually 288 K.</p>
<p>Suggest how the greenhouse effect helps explain the difference between the temperature estimated in (c) and the actual temperature of the Earth.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<div class="page" title="Page 16">
<div class="section">
<div class="layoutArea">
<div class="column">
<p>the emitted radiation is in the infrared/IR/long wavelength/low frequency region</p>
<p>«greenhouse» gases in the atmosphere absorb «infrared» radiation</p>
<p>radiated in all directions «including back down to Earth» warming the Earth</p>
<div class="page" title="Page 16">
<div class="section">
<div class="layoutArea">
<div class="column">
<p><em>Do not allow “traps the heat”.</em></p>
<div class="page" title="Page 16">
<div class="section">
<div class="layoutArea">
<div class="column">
<p><em>Must see clear implication somewhere in response that gases are in the atmosphere for MP2.</em></p>
<div class="page" title="Page 16">
<div class="section">
<div class="layoutArea">
<div class="column">
<p><em>Must see sense that Earth temperature is raised for MP3.</em></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>This question is about electrical generation using nuclear power.</p>
<p>Exposure to radiation is a safety risk both to miners of uranium ore and to workers in nuclear power plants.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why uranium ore needs to be enriched before it can be used successfully in a nuclear reactor.</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) One possible waste product of a nuclear reactor is the nuclide caesium-137 \(\left( {{}_{55}^{137}{\rm{Cs}}} \right)\) which decays by the emission of a beta-minus (β– ) particle to form a nuclide of barium (Ba).</p>
<p>State the nuclear reaction for this decay.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) The half-life of caesium-137 is 30 years. Determine the fraction of caesium-137 remaining in the waste after 100 years.</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>Some waste products in nuclear reactors are good absorbers of neutrons. Suggest why the formation of such waste products requires the removal of the uranium fuel rods well before the uranium is completely used up.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>U-238 is much more common than U-235 in ore;<br>U-235 is more likely to undergo fission / critical amount of U-235 required to ensure fission / <em>OWTTE</em>;<br>U-238 absorbs neutrons;<br>U-238 reduces reaction rate in reactor;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \({}_{56}^{137}{\rm{Ba}}\);<br>\({}_{ - 1}^0{\beta ^ - }\);<br>anti-neutrino / \(\bar v\);</p>
<p>(ii) \(\lambda = \left( {\frac{{\ln 2}}{{30}} = } \right)0.0231{\rm{yea}}{{\rm{r}}^{ - 1}}\);<br>\(\left( {N = {N_0}} \right){{\rm{e}}^{ - 0.0231 \times 100}}\);<br>0.099 <em><strong>or</strong></em> 9.9%;</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>proportion of waste builds up in fuel rod as uranium is consumed;<br>increasing numbers of neutrons will be absorbed;<br>this reduces the number available to sustain the chain reaction;<br>build up of waste deforms fuel rod (which can then be difficult to remove);</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<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>
<br><hr><br><div class="specification">
<p>The radioactive nuclide beryllium-10 (Be-10) undergoes beta minus (<em>β–</em>) decay to form a stable boron (B) nuclide.</p>
</div>
<div class="specification">
<p>The initial number of nuclei in a pure sample of beryllium-10 is N<sub>0</sub>. The graph shows how the number of remaining <strong>beryllium </strong>nuclei in the sample varies with time.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxUAAAEsCAYAAAC1955GAAAgAElEQVR4AeydC3hVxbn3/4mKl8boQavugDfkSyifVDRAW6ElIE30VAonFLStgI03KuDtkEQQRRBQCAcrREH5SOVy2qM95EPtOZJoUjiFHqVJweJRkg+tSkysipVLQWmT9T2zs2dnZbLWngmZnWTt/NfzxDWXd973P7/ZkT1Za2aSHMdxwIsESIAESIAESIAESIAESIAETpBA8gm2YzMSIAESIAESIAESIAESIAESCBPgpIIfBBIgARIgARIgARIgARIggQ4R4KSiQ/jYmARIgARIgARIgARIgARI4GQVQVJSklrEPAmQAAmQAAmQAAmQAAmQAAlECajLsttMKoSlahRtzQQJkAAJkAAJkAAJkAAJkECPJuD1EIKvP/XojwQ7TwIkQAIkQAIkQAIkQAIdJ8BJRccZ0gMJkAAJkAAJkAAJkAAJ9GgCnFT06OFn50mABEiABEiABEiABEig4wQ4qeg4Q3ogARIgARIgARIgARIggR5NgJOKHj387DwJkAAJkAAJkAAJkAAJdJwAJxUdZ0gPJEACJEACJEACJEACJNCjCXBS0aOHn50nARIgARIgARIgARIggY4T4KSi4wzpgQRIgARIgARIgARIgAR6NAFOKnr08LPzJEACJEACJEACJEACJNBxApxUdJwhPZAACZAACZAACZAACZBAjybASUWPHv6gd/4L1JZMQlJOCWqbultfmnCkthSFo9IgjrLvco1Ne1GS0x85JXthjirCN20OKg+Zt+puI0E9JEACJEACJEAC8SdwcvxDMAIJ9EACTbV4fuYMbOhXjLqKXPQJ5PT9NKTnPQ8nrweOH7tMAiRAAiRAAiTQLgKB/KrTrh7SmAS6ksC5Z+NM/pZ15QgwNgmQAAmQAAmQQCcQ4NedToCcmCGacKhyDtKSJmFN5VasK8xpfs0naRCmLitD7ZHI6zKHKlGYloS0wkocioKQbYegsPJTAJ+isnAIknIeQ2nZ45ialtTsa1Qh1lV/iEO1ZVg2dVBzWdpUPL6zQXmF52O8+UpLu7Spj+OV2pZo4bBNDaheV4hR4lUk8TOqECWVtTgiNYV1pmFU4YporNaapaG4i1ebKlES7bNoV4LKSMym2hLknPQ13FLegIal1+CsJNlPtw8AkZg5a17BTpe21vojbNRXkLy4Kn1s7UeJHc4eR0P1hpZXtJJyUFhS2TJ24OtPXtRYRgIkQAIkQAIk0JYAJxVtmbCkXQR+hdsfKceZt/wKjuOgsX45+vzHdNyxuqrlC7upv/IVWFl5MR6obYTTWIeKb+3GzUP6YsCiffjOY9VwnIN4e+HJKBq/CJs/PN7itXw2ZvyiF6ZXfxm22TruEyzO+BGWVX/ebNP0Pkpvy8bYyouwpF7YNOLwqoHYdtME3F36vmuC0oCtG95A79k74DT+GVtvH4LUliiRVBOO7N2A6Vl3Y9sFD6G+0YHTWI0lF2zDTZGYyel5KGt8G2uzQwgVVOCgU4Ulo89t46m5oAHlty/DpjN/gpcc4asOG/tsQfYda1EtJ2Y+LVsVR/o45NmTMLPmYJhD5cg3MTVrDkrdrKKNjuPD0vuQOfZVXLCkGo0i9uF/Qca2u5F192Z8yCUUUVJMkAAJkAAJkAAJ6AlwUqFnRIuYBDJR8OB9yE1v/vqdHLoSY4adja2vvIn69n4xDd2MBx8Yj/SUZCA5hCFjMhHCRCx84BYMC/UCkIr0EcMxqOE1vF7jehIRmo7ixbe12OTehwcLPsLy5/+AQ2jCoa1PY0bJ11x+kpEyYDJWbhyLl2c8ja2uRcihyT/GDwakAsnnIf2ytlMK4DPs/PlKvHLdfCy+ezhC4jcoOYRh9/4LNhZ8hPw5pe1eNB4qKMQDuQOQIjjLfm/9b7xR75o4xRwDoGlfBZ4uOdU1FqkY8IMfYzJK8XTZu66JU8TRoe1YMaMUgxbOxt3DQgj/jyDlcuStfAKTX16MFVvFEyReJEACJEACJEACJGBGgJMKM060MiaQgr4Z/YA9+1DXnr+0G/v3MBx0FS4PTzpkXbOGhg2vourQp6gqK0dDqD8uuUBMTOSVjJS+/TGooRxlVZ/JQv390B9RtqEeg4YPbJ5QRFvY6ndEF95FTV305axoFO/EF9i3fQvK0Q8ZfcNTk2az1NFYUl+PsrwBzZOGaOMmHKp6FRsa0jD4knNb16WkIWNQPTaU/dH1ulq0IRMkQAIkQAIkQAIk4EmAuz95YmFhlxAY1B99xVOKeFwNj+Kasx718JyJwR6lfkVNH72H3Q1+tQAa9uG9j44D/WPYdJuqaiy95qtY6qEn1B4oHu1ZRAIkQAIkQAIk0LMIxOkbXM+CyN4GgED2WtSI9Q9i7UCrn1jrHdr2K/mCSzA41LY8WtLmiUi0phsmJmJtzTGFRzOf+iWjPdaTdMMuUBIJkAAJkAAJkEC3IMBJRbcYhgQWEX6dJta3cAt9b/Oq1RHU1byL0OQxGJJ6LobkZCO05w94s8G9RqEJR6ofx6ikSSip/cJcROrXkTM5DXt2vIWGVmtGmmPC+tOWyGtVMRWehv4jrkW2+spU+MC7NI+D95KROmQMJofexo43/9x6vcWRnVg2qr2H5MUUx0oSIAESIAESIIEeQICTih4wyF3axeRLMOKGEWjY8K/4971icbXYjnUzFj3yLGK9RdQuzQ3P4pFFmyNboR7C3pJC3LThmyi+awRSkYzUrDtQfN02zJizBjvDE4tmDY/MehIomoVJ6ae1I1xvDPvJTHz35XmY88SOyMQiEnPpBShanIt0q79VkQlDw0tY9+9vNe+odWQvShctwVIXwOT+OSicfQ6WPvIkKsN9PI6Grc9hQ/lV3ppSR+Cu4pF4ecZDeEJu0Sv8PvIg8jEdiyelt15r0Q5CNCUBEiABEiABEuh5BKx+/el5+NhjPYHTkD5pIcrv+zvmfu0sJCX1xdi1f8WEBx9Atr6xmUX2XZg5+n0sSj8JSUlnYfS2y7Fu62Lk9okszE6+GLlPbMLGkR+gMO1UJCWdhDOzXsBXZz6HX9w3rHnXJbNIYnum8M5RT259AiM/WoC0k8S5FwPw05rh2FjzC8zKPNvYk6lhcvoPsLI8D5g7CGeKMzbG/hyHJ8zCM9muJ0DJfTB64bOouvkoHgn38VSkPXIUN1etwX2emnqhT+5ibN04Eh8VZuIk4ffMiXjhq3eg6hfTkRmvtS2mnaYdCZAACZAACZBAoAgkOeIFc9clDgZTily1TJIACZAACZAACZAACZAACfRkAl7zBT6p6MmfCPadBEiABEiABEiABEiABCwQ4KTCAkS6IAESIAESIAESIAESIIGeTICTip48+uw7CZAACZAACZAACZAACVggwEmFBYh0QQIkQAIkQAIkQAIkQAI9mQAnFT159Nl3EiABEiABEiABEiABErBAgJMKCxDpggRIgARIgARIgARIgAR6MgFOKnry6LPvJEACJEACJEACJEACJGCBACcVFiDSBQmQAAmQAAmQAAmQAAn0ZAKcVPTk0WffSYAESIAESIAESIAESMACAU4qLECkCxIgARIgARIgARIgARLoyQQ4qejJo8++kwAJkAAJkAAJkAAJkIAFApxUWIBIFyRAAiRAAiRAAiRAAiTQkwlwUtGTR599JwESIAESIAESIAESIAELBDipsACRLkiABEiABEiABEiABEigJxM4uSd3nn0ngZ5EICkpKWZ3HccJ18+bNy9qN3/+fIh8KBRCQ0NDtNydUG1k3m0j09KPaiPzsl7au+/SRpapeVku7tKPaiPzst7dRqZVG5mX9e679KPaqHl3G5mWNn4+pJ24+9moPtxtZFq1kXlZ73VXbWRe6ojVRtrINl62fjayjaz3aittZJ2al+XiLv2oNjIv691tZFq1kXlZ775LP6qNmne3kWlp4+dD2om7n43qw91GplUbmZf1XnfVRualjlhtpI1s42XrZyPbyHqvttJG1ql5WS7u0o9qI/Oy3t1GplUbmZf17rv0E8tG2It6XiSQkAQc5QKglDBLAiSQ6AR0v/erVq3SIrBhY+LjoYce6rAWkzg2bGxoFZ3VadHVm/gQNjq9tuLo/OjqTbSa9Nkkjg0bHVcTrSY2NrSasLUVR+dHV2+itTO56fSafA6EXl4kEAQCXt8bkoRw92xJ/DVTKXJXM00CJJCABPh7n4CDyi6RAAmQAAmQQJwIeH1v4JqKOMGmWxJIJAKrV6/WdseGjYkP9+tZfqJ0fnT1wq8NGxtaTbTY0Cri6PTaiqPzo6s30dqZ3HR6dVxNtJrY6HSY+BA2Or224uj86OpNtJr02SSODRsdV6GVFwkEmQAnFUEePWonARIgARIgARIgARIggW5AgJOKbjAIlEACJEACJEACJEACJEACQSbANRVBHj1qJwFLBLzejbTkmm5IgARIgARIgAQSjIDX9wY+qUiwQWZ3SCAeBGy8Tyx06fzo6oUPk/eSdX509SZaTWxsaDWJY6s/Or224uj86Or5ORAE2l4m3Exs+DmID1sd17ZRWUICwSLAJxXBGi+qJYG4EBB/cVi1ahWmTZum/eKv2ujyQrDORq2P1UaclyH2g29PGwnNVhvpT95VvzIvtUo7913ayDI1L8vdd9VGzbttZVq1UfPSTtylXtVGzbvbyLRqo+alnfuu2qh5t61MSxs/rdLOfZdtZJmal+Xuu2qj5t22Mq3ayLzUKu3cd2kjy9S8LHffVRs177aVadVGzUs7cZd6VRs1724j06qNmpd27rtqo+bdtjItbfy0Sjv3XbaRZWpelrvvqo2ad9v6pWUboZVnVPhRYnnQCHg9qWhzKIXXvrNB2C+XGkmABE6cgO73Xrf/uohsw8bEh8le7zo/unpb/bGh1USLrf7o9NqKo/OjqxdMdFo7k5tOrw2tndkfnV5df020mtiYxNFptRXHRIvOxkSr0MuLBIJAwOt7A19/CtrUkHpJgARIgARIgARIgARIoJsR4KSimw0I5ZAACZAACZAACZAACZBA0AhwUhG0EaNeEiABEiABEiABEiABEuhmBDip6GYDQjkkQAIkQAIkQAIkQAIkEDQCnFQEbcSolwRIgARIgARIgARIgAS6GQFuKdvNBoRySKArCHhuDdcVQgxiir3eg7ItY5C0CvRB0kutBr8sJ2hCticIjs1IoAcR8PrewCcVPegDwK6SwIkSMDkwy4aNiQ+TPuj86OpFDFs2Or024tjwodNpk4lOr67eRKuJXpM4tmx0mm3EseFDp9OEqy0bk/7Y0GsSx4aNmKzxIoFEJsAnFYk8uuwbCRgS4OF3q6Ok5EFVskDNy3L3XbWReXkwl9tWpqWNX16Wu+/xbiP1xjuO7FNH4vhplb7d947EkX5UH7LcfVdtZF5qddvKtLTxy8ty9z3ebaTeeMeRfepIHD+t0rf73pE40o/qQ5bHuss2QmtQnrLG6g/rSEAQ8HpSwcPvgnDCCDWSQJwJeB1i4w6pO9RJ2NqwMfFhcoCUzo+u3lZ/bGg10WKrPzq9tuLo/OjqBROd1s7kptNrQ2tn9kenV9dfE60mNiZxdFptxTHRorMx0Sr08iKBIBDw+t7AJxWccJIACXj/xaGbcuH73vEbGLKND9sgcRUEgqQ3SFrj8+miVxLoGgJeTyq4pqJrxoJRSSBQBGy8Tyw6rPOjqzeFpvOjqzfRamqj02xDiw0fOp2m/bWhxcSHDb0mcWzZ6PTaiGPDh04nPwf+hHT8xQSIFwkkMgFOKhJ5dNk3EiABEiABEiABEiABEugEApxUdAJkhiABEiABEiABEiABEiCBRCbASUUijy77RgIkQAIkQAIkQAIkQAKdQICTik6AzBAkQAIkQAIkQAIkQAIkkMgEOKlI5NFl30iABEiABEiABEiABEigEwhwS9lOgMwQJNDdCfDwOx5+Jz6jfgeJycO7Yn2OVRs179VWtVHzsdr4aY3VRta1J46NNlKr9OW+q1rUvNtWplUbNS/t3HfVRs27baVe1UbNu9vItGqj5qWd+67aqHm3rUxLGz+t0s59l21kmZqX5e67aqPm3bZ+adlGaOXhd36UWB40Al5byvLwuyCcMEKNJBBnAl6H2LhD6g51ErY2bEx8mBwgpfOjq7fVHxtaTbTY6o9Or604Oj+6esFEp7Uzuen02tDamf3R6dX110SriY1JHJ1WW3FMtOhsTLQKvbxIIAgEvL438ElF0KaG1EsCcSDg+ReHOMShSxIgARIgARIggeAT8PrewDUVwR9X9oAE4k5Ad6iTEGDDxsSHyQFSOj+6elv9saHVRIut/uj02oqj86OrF0x0WjuTm06vDa2d2R+dXl1/TbSa2JjE0Wm1FcdEi87GRKvQy4sEgkqAk4qgjhx1kwAJkAAJkAAJkAAJkEA3IcBJRTcZCMogARIgARIgARIgARIggaAS4JqKoI4cdZOARQJe70ZadN/tXTXVluC6jC24oWY98tJP6156j+xF6SN3Y8LScgATsbY7avQk9gVqS6YgY25/VOxdiNGpZn/Dah6LpzC4YguWjD7X0zMLSYAESIAEupaA1/cGs//Ld61uRieBHkCgCYcq5yAtKQ2jlu3EkTY9lvWTUFL7RZvaeBfo3hUW8W3YmPgweS9Z50dXb6s/Hdf6BWqffwgTnv4Sm+q+hOM87znpsdUfnd72xTkN6XnPw6lf3GZCEctPcnoe/mnVrdoJhU6ryRjG0iF/p2zY2NDamf3R6bXBxFZ/dFptxbHRZxOt8nPHOwkEkQCfVARx1Kg5AQmIScNcDLjmUTTgeyiq2ohZmWe7+inr92FhHP5SLf7isGrVKsj91F2B2yRVG11eONDZqPWx2sTal171o8vLOKsWTEHxvP9B5vybsf6hma0mSKqPNkBi9E9qbU+b1rZ/w8e/exbzXjwP9zz8fTx+z0+taWsdpzkn9ap9VvNebVUbNW+7jZ9W23Gkv470R2qVvtx31a+ad9vKtGqj5qWd+67aqHm3rdSr2qh5dxuZVm3UvLRz31UbNe+2lWlp46dV2rnvso0sU/Oy3H1XbdS829YvLdsIrTynwo8Sy4NGwOtJBc+pCMJmwNTYAwg0OgcrZjshZDpZWZc5yFruVB1udPVb1k901tYcc5XbSXrtN+32rNt/XdiesM3BCqcgFHKynyl3CqdmO1mAI/SEpix3ymsORmR84lQUZDoIzXYmFz7YIi3cFk6ooMI56EhG453cO+5wiqZcHvYDZDsFz77u1B+sccqLpjihsP80Z8ry7U59BHFjzVonG+Odok2bWtqd9Q2nqLzGOdwSzXGcL536qvVOQVYo4nugU7C2wqmJjlVEZ1aB80zRFOdMESs026k46B5Ll8PDNc49k1v6jKwCZ21FJGbj287abBknwiTcT1f7cPIT557sixzRVsQM90/GbKx3qp4tiDJt5V+0leyLfuVskXoRcrIK1jtV9Z84NeXLnSkhOR7FTuFjK1uCC9+biqL1CLdb69wz//GIzTGnZu1EV/8jbLKLnXsKb25hGJrSirMYi4G4yCmo+MRxnJY2Fa+7uIemOGNumt56bA67x/dyZ0rRemdy9kBX/BbpMnXCn1npIHLX+TE5n0DnQ4TS2ejqTXwIG51eW3F0fnT1JlpN+mwSx4aNjqvQyosEgkLA63sDX38K2tSQehOcQD/8aM485NUUYdbqKo/XoBK1+w0ov30Zdp32LbzkOHAa67CxzxZk37EW1Uea2tnpzSj9zfvo98AOOM6XqK+4Gjtv/gbSBizCm995DHVOI34277tA0TTM3fw+WrxvRv6MF3DS9HI0Cpv7BuOTxf+IsdHX0Y7jw9L7kDn2VVywpBqNjoNVP5uAjG13I+vuzfiwxRGw9T+xvXc+pj/0AOq33oFhXusJjryJkukT8PPa3lhSL15t+hL1Sy7CtpuymmMmD0Be2buoWTsROOtaVBxsRP2S0Uj1oxGJWSv8iJgp+1F6WzbGVl4U9r9q1VM4vGogtt00AXeXuvvdgPL8NajsNxvTH3oIjfXr8K2dhRiSNgqL3hyGx+ocOIf3YCFWY/WLb0b6+Tmql9+GsS+cjunVQrsYs9/jwZOew8/+dUfsMStfhP/cdSpueamuuc8b++E/su/D6urP/XoGlC/CI5u+0qrN/9tY3tKm6X2U3j0BU/eMRuXhRjjODszuvRUvlr/l75M1JEACJEACVglwUmEVJ52RQMcJnHTxOCwozkVN/oKWL00dd9vtPYQKCnHd4AuQIpQmhzBkTCZCW/8bb9Qfb6f2TGT/4zXITRdfv3shNOTbGBYKIXvhbNw9LIRkJOPU8y/ByEEH8PLr77gmbpcjr3hBi815V+CBByehZvlm7DzUBBzajhUzSjEo6gfAqWnIW/kEJr+8GCu2ftqiMzQWU38wEL1wEkLpFzf3qaUWQBMO7fwF5r4yEjeOH45hoV7NWof9FCs33oya/GV4vr1rZyIxU0Sf0y9E09anMaPka1j4wC0R/0lIGTAZKzeOxcsznsZW0afIJdg/kDsAQkVy6EqMGZYGZN+LB+4ejpD4VyKlP0aM/BoO/s/7qBGTvEN/wPPLP8LkqTdEfIuGfZB18w0YWPtu7DEL3Yx/vO4KpKcIx3J8/oBX3vjINcGTyqTAm/HgA+Nbtelz5keRNk04JPr68kgUL/4hBoT9pmJA3hL8JPsixRGzJEACJEAC8SLASUW8yNIvCZwwgV7oMz4fxXnvI3/Wz2P/1feEY3T3hslI6dsfg/AuauraLluPj/qvYfjl56Plf4pJzRoaylFW9SkOVb2KDQ1pGHzJuS4b8YU7DRmD6rGh7I84ZCzsM1SVlaNh0FVIO+tkVytb/Y74D/XHJReIqYK8Iv7DffpMFrb/njoaS+qrsGTYZ6gsLUWp+CkpxDUZt6DdzwbC/IA9NfWuCZ5GUkoazjlPtmlheXl4cibbpuAfzufuUZIG7yRAAiQQbwIt/37GOxL9kwAJmBNIvhjjF8zvga9BmSPyt+yH8//hVP/qDtVUY+k1X4VYoCZ+fvrTnyLppK/hlvKG9nlt+hTv7a6P0aYeu9/71P8v9zFatqpqeBTXnHVSi9akJJyUcQvE5rQtVwiDMtI8nqa0WLRNHcLekluQdmYGrln5OsIvLp19HVZVPYOB+LQTJ4JtlbGEBEiABEigawhwUtE13BmVBLQEkvtc3yNfg9KC6VIDcU7EseY1BGJNxapV0XTM9Q6q5uRzccngNLXUlfd4IuKqNU5mr0VNoxPW6NbqOFXaLVtjxWiq/XfcfctOXLfpPTT+ZgnycnORm/sdpB38Ez6M1ZB1JEACJEACCUuAk4qEHVp2LPgE3K9BleD1zxuD36UT7kEK+mb0O+HWZg3VV60cHKnbhz2hbOQMORepQ8Zgcuht7Hjzz62fIBzZiWWj+iOnZG/r8phBe2NITjZCe/6A+oN/d1k2NcdEP2T0Da8ucdW1J9ni/80G95qUJhypfhyjkjpy3onUqL4u9ncc/tz8BbD29Ca2rezrPtS1WtR/BH/5s2udS2wnrCWBuBPgdrJxR8wAXUyAk4ouHgCGJ4GYBKKvQS3Hwyu3xzRN7MrT0H/EtchueAlvvPVJ87v34qTpRUuwtJ1vHvlzqsbSR5ajtFZ8MW7Clx+9jpk3vYTriu9Alti9KXUE7ioeiZdnPIQndjY0TyC+/AiljzyIfEzH4knprdda+AcSq5qROuxHWPjdbfi3zTuwM/zFvwlH9m7AzJueRUbRLEzq0MneyUjNugPF123DjDlrIv4dHKndjEdmPQl0yH9yZIK1HRue/S0awuu9j6Nh5xrMmfEkDsbsdzwqZV/L8ciizagNTywOobZ0Of6z/IN4BKRPEjghAjz87oSwsVGACPDwuwANFqUmMoFYh9s1b2U6dMKTaIB4/Wa956nKOjpiDUCs6yc/+QkuvPDCWCaedeKvb+5/LNW8V6NWNl/+CV+s34BVl07GnWMuhVwN4RzYhV88WYXzJ/8YYy49A/Pn/zNmTJ6I375Qjj8eBpBVgHGX1aNx6wvYdv543DnmEuBPv8FTGz5D1vTxuPKck8MHTc27fwpefWoz/pw1GbUvPon58+YBzqfY9YsN2Bpudyl6hWP9P1w66evIOe0t5K9/Ezjz6xgz7tv4vxuKUSTahK8vceBPb2HXf23F794XIs7D18dkoWT9Bry4ehGAo/jTq/+KDX+6GZOnnIxLT/VnHmYwewb+9D+78F8v/Q7vC/8XX42x37kS//vSc8I7MQF/x4Fdm/Hk1t6YfOcorH9sgQfr/OaYey4L27SKefwARv6vryDvlqXN/s/8OoqeLUHD7heRIqR9+acomx9deS6a1R7FyC9+g2s2pWH6j67EOUnA/PmzMeP7mVEdl57ahCMN/4PXyiuiHKYUrYCz99/xzvM7gPE/xo71jyhtjrXRGWbw0PToWNTtWI9lM77vGncYtfkXMT7HD+Ddqt/ihVf/iMORcRmAP+L5189FRd02bPuX+ZExFP1p/ZmNVrgSqo2ad5lGk6qNmo8auhKqjZp3mUaTqo2ajxq6EqqNmneZRpOqjZqPGroSqo2ad5lGk6qNmo8auhKqjZp3mUaTqo2ajxq6EqqNmneZ+ibdbUSaFwkkAgEefheUE0WoswcSkAe3+Rxu1/iesylPHOYm67906isedh1qNtvZFD0orv34xCE24mf79u2ejW0c/CQc6/zo6oUPkwOkdH509SZaTWxsaDWJY6s/Or224uj86OrNPgfHnPmTr4ocjChatL1M4tiw0XEVymzEseFDaNHptRVH50dXb6LVhK1JHBs2Oq5CKy8SCAoBHn6XCFND9iFBCSQjdfRi1DvPez+FSL4YuWv3wInW/xn/va4c/cRCWecvqPre23h6e3073ulvi3HlypUYMWIEduzY0baSJSTQbQmIp3xzkJZ2C0r2yjUd4nWstfjPF4/jvklX+R8Y2G37RGGJSIBPKRJxVNknNwGuqXDTYCI3jIYAACAASURBVJoEgkLg7x/j3R2D8L1v9RFv5+N/XfU17Nn2Fv7cAf0zZswAJxYdAMimXURArKmYiZeKv4Zto8+KbPd7KjKfPIbBd96E+zLP7iJdDEsCrQm4XxNtXcMcCSQGAU4qEmMc2YseTSAZZ5zVG2dYYMCJhQWIdNH5BJJDyMydhXX1zdvnOo6D+nWzMPiis9qxeL7zZTMiCZAACSQSAU4qEmk02RcSsEBATCzKysr4KpQFlnRBAiRAAiRAAj2FACcVPWWk2c/EInDyeeg3vAavvy3OMv4cb/xmBy4bORDnW+pldnY2tm/fHp5YrF+/3pJXuiEBEiABEiABEkhUApxUJOrIsl8JTuB8fGPc/8aGa76KpKR/wJDlfXBHTj+rr3oMHz48PLGYOnUqtm7dmuA82T0SIAESIAESIIGOEDi5I43ZlgRIoKsI9EKf3GLUO8VxFSAnFmJXKPEjXo3iRQIkQAIkQAIkQAIqAR5+pxJhngR6IAFxiM2qVaswbdo0rF69ug2Bd955B8uWLcMNN9yAf/u3f2tlo7ZR88KZWtYq73yEXps34l/Ovwkzrr4gcgCbf5uGhgaEQqE2PrVxPHTINqsWTEHxvP9B5vybsf6h27BgynDMq/7fmD/jajx0RxamDPomXuz7Ezz8Txk4rQ0dvVaPJm30t2Li1SCqfxW+/KASTz11BKs++A/U/uKZFmvnID54vRKb1pWjNlw6EAVrl+CkT97DRWc1/w0pVhw/trHayOCqjZoP2zkf4XfFT6E6887wWP9U+bx5tsHf8PHvnsW8F8/DPQ9/H4/f89Pw589Pq9Tjvqt+1bzbVqZVGzUv7dx31UbmpVa3rUxLG7+8LHff491G6o13HNmnjsTx0yp9u+8diSP9qD5keay7bCO0clvZWKRYFyQCPPwuKCeKUCcJdDIBr0Ns3BLEwU/79+93hg4d6uTn5ztHjx51V4fTJ3w4VOPbztrsy5zstW87T61a1cavWmBygJROi1rfWLPWyY4eLHjMqVk70cHAyU5Noxq9dV7107pWf4iYsNf5aG3T6Bx++1+dguxMB6HZTsXBZoHNPr506jZNd0JZBc6zVfWOqGms3+4sn3J5+AC4xy2wbZ9WlYYQ1DzWAyfPC+vzsAgXmcSJx+fAS4+JFp2NDa1Cmy6Ort7Eh7DR6bUVR+dHV2+i1aTPJnFs2Oi4Cq28SCAoBLy+N/BJRZCmhdRKAnEi4PkXB49YdXV1yM3NxRVXXIEVK1bg9NNP97BqZ1HTXpRcdz2eu+HXeDlvgNV1IaZKmmpLcF3GFtxQsx556UBtyRRkPHctal7OQ3p3WXnW1IDqDSux4pNs3NX7KQyZ2x8VexdidGpEoA/HcN+y9qHQbWsKxradj0bbYeiPBEiABEggvgS8vjd0l38u49tzeicBEugQAflKVN++fVFaWoo33ngDd911F44dOxb1K22iBR6JmDafvYl7JnwTaUlJSEoahKnLylB7pKmVl6aGnRg/vH/kgLM0jCosQWWtPEU5crJyUg5ybvonTE0Tfpp/0gorIa2Ew9WrV0VOYZ6DykOtY0QD1kUWp4svwjlpaPYhYwxBYeWnrtfAPkVl4RAkpUX8HapEYVoa+n93IsqWTY30SejdgOqGT1H7yuNRfWd/84fY2XA8GtYrsXr1StQ+Owuzakbhsfu+iTMVozDXI/Wo2XM2Bl9ybquJWfIFl2AwyrFk3nKlVSQb0Zqz5hXcOn44RklmUx/HK1G2kf6dfV1rXuG2SRE2zf5Wr1qC6nWFPn6abeq2/ptLy3E0VG9A4ai0yHjlIGfKva6x/wK1JZNa2EZamhwkFvPzFv4ctH3VzyUsnNT5EEY6GxtaTeLodJj4EDY6vbbi6Pzo6k20mvTZJI4NGx1XoZUXCQSZACcVQR49aieBLiAgJhZbtmwJR/7hD38I8fSi49dRlOfPx87kb6O60YFz+FcY98lyZIx9AtWRiUXTh6W4LfMW/CnlO6gXNs5erMrYgZuy5qD0Q/eX8nK8vu8szK5tRGN9DapK84ENpXi1lc1fUVVWDkwegyHyL/0d74TioQHvvLoLlf1mo9Zx0Fi/Dt/aWYghaaOw6M1heKxO9HMPvo//wvi5v8aHPnObZqcnI+26x/HS4u8i5PN/7aaP3sPuBkVCNFuPugNH4B+iAeW3L8Pbpw7GS44Dp7EOG/tsQfYda6P8o65iJZrex+6NKzDk2ZMws+YgHOcgKke+ialtxkg6OY4PS+9D5thXccGSajSK2If/BefXPo+suzdrmEgfvJMACZAACXQHAj7/PHUHadRAAiTQXQn07t07/PrTV7/61fDrUDYmFqG8+Rg/+rLmL80pA5D7QCEKav4Vz+/8DMCn2LpiMUoG3Ytvf+PCyBfrVAzIW4KNk1/DjBXbXU8iMvGNb12OASnJSA6lI/O7P8B9GVvwdNm7LV+qv/gQZRuAyTlfR2ocIZ959dV4IHcAUgAkh67EmGFpQPa9eODu4ZF+9kf/9AvQ8HIVapSnMq1lJSEldF7YT+tymXNwpG4f9sjsCdxDBYX49oBzm2MkhzBkTCZCW/8bb9S7J2yxHTftq8Bvf3cyCh68D7npgmwqBvzgx5iM0tb8pZtD27FiRikGLZyNu4eFmp+wpFyOq2+chMkvL8aKrZ9KS95JgARIgAS6OQFOKrr5AFEeCXQHAmL3EvUS6ynEuoqsrKzwxGL06NGqSZu8l59mozMwaPhAFPzUFSclDRmD6rGh7I84dOiPKNtQjdDgS7B4wXyX3xT0zeiHhg2vosr1GtPgsTe32KR8Hd+ffBXKn/sd9oX/VN+EH339dGxANnKG9G6xU1N9s9SSNnn//jSbpoxw6WjTurngxqzLfGpainVxpk27o8XYJ9U360afmpbiOfMl22Sk9O2PQXgXNXVHWgzOuLIl3Sb1BfZt34K38A1k9BXTqMiVOhpL6utR5lov06ylCYeqXsWGhrQ2r2xNu+uOlrGXfpS7yS46em6uz5viX2Z1PoSdzsaGVpM4Oh0mPoSNTq+tODo/unoTrSZ9Noljw0bHVWjlRQJBJsBJRZBHj9pJoJMI+L1PLCYWS5cuxZQpU5CRkYEdO3bEVOTnRzZ62mM7W1kn7g1Lr8FZkXf+m9dLnI6MW37lNgmnd7/0rKvsNPTPuRF5e57C2vBfvj/DvCXPI+O+8RgW69UnuabC5UlNxu5PCGe8vSnG04Vmb/+29Z2I28jagVb9m4SS2i+07+yvXv1MZBKgKmzJt17H0FLuTi2eN8+dbZs+uqttWZsS2Z82FdGC1lqqsTR8iGPLGpikk76GW8p93+UK+zF5Pz32+OjXQohAOh8mNja0msSxoVXE0em1FUfnR1dvorUzuen06rgKrbxIIMgEuPtTkEeP2knAEgHxBT3WORXuMOIvdu5/PGVenLr93HPPoaysDO+++667SewzGfzOqbjddT7EdWJC8Rx+PeZ2TLjUQZrnORUOfpS+Hxdd86/4xj0z8U8ZKa64R1Dzf1fiucE/R0HoJbz88H/h/PtuxtXnnRK2MT+nIh2oeREP/+ytaAzR0WnTfoB7czLxs9cHNp+lkJeBnIty8c53fox//sdBkbM3mjX8rG5k8/kXPxUcV0bPYKhQz5xoRbA508zap80XNfi/D5cCP2nuu2w+7UfpyLnoJ9FyOV6yHuF2P8Pr37gH076ZiksibJuZbEPfe2ai7PGbW/Uv47Sk5uauth+UPYqfifM9xGtl4fM+Zrb6nIQbtDqn4nz8ODxeZfj+/JaxcH+2moPwnIroWEUS6hiqedVe5FUbNe9u43f2Q6w2sr1qo+alnfuu2qh5t61MSxs/rdLOfZdtZJmal+Xuu2qj5t22fmnZhudU+BFieRAJeO3+BHU/XK99Z1Ub5kmABBKLgO733nSP9u3btzvC18qVKz0BefoJn10QanuWwsEKpyCU6RRUfOI4zidORUGmE8rb5Nz74EMu339xqoq+5yB7rVPT2OgcrJjthJDpZN9T5LIRyUbncNVyJyt0h/PMM3c7ZylnUMQ8p8Kl76DwFD7TollXS3+a9UXPjghrDzmXjb3TdR5DxCasVco75syffFWrMydkjfveEkeURs7RUM+pcJ334T5eQ/Zt8vwVbpct6bBWhPkXPtTC1t3PaMyzro2ejRF24Gor2QzERZExi4SI8AuP0d+UcyrC7S938ja95+LkOKt+VugUZTWfXdLo0V/h2WTP/9bcWrosU7p6YWfDxoZWEy02tIo4Or224uj86OpNtHYmN51eHVehlRcJBIWA1/cGvv4UxOkhNZNANyUwfPhwbN++HTNnzsTixYtbbTmrk9ywdAle3v0Rwm/wH3kTJTPvxobr5uCurHMBnIusu+bgupfnoeL1/WgIr404hNrSpZiVDxQtztWcJ5GMlCuvw+RBL+L2259Hn8x+6H+C//dL7n81bsiux4Z1/4GPvhRzKKFjOR5ZWq3rYnzrk/sh545rsWduEZ7d27yBblPDDjyx6HHsKZiGq847pQPxT0P/Eddi4ME/Yt2/vxUZo70oXbQES11vKSX3z0H2tSlY+siTqAxvk3scDVufw4byq7zHKHUE7ioeiZdnPIQndjY0L6Q/she7//Ml5GM6Fk9Kb7U9bgc6wKYkQAIkQAJxJnCC/6zGWRXdkwAJBJaAmFjs378fmzdvbnOWhX+nzkB20W3I+GQL0sWagjN/iG2DlmHrE+PRJ/J/qeQ+4/HE1idw8ZH/QtpJ4v37s5D1Qm/MrFqD+zLP9ncta8JfunMRwghk9j/nxL+sJqdj0sqf4z4sw/x77kRS0kSsPZyNB5+ZKCN10b0X+mTfhY0Lz8WGr50VPvPhpLRp2D1oPl66ZwRO66Cq5PQf4Ia7rgbmDsKZYozG/hyHJ8zCM9mhFs/JfZDx/SmouvkoHkk7FUlJpyLtkaO42XeMeqFP7mJs3TgSHxVm4qTw2E/E7pRvo+oX05GZwn+iWuAyRQIkQALdm8DJ3Vse1ZEACQSRgDwkb8aMGRBnWRQXF0OUeV7JA5BXtg954UWxn6J+02ueZkAyUtJH48oxP8aLO+QuRW7TZKSOXox6Z3Hbd/nDZk346+cfA3k3YuBXP3Y3RHJ6HsocoaD5Ss97HquOr448/RD66sP6mmuFjhzMWpeDlG+tDr+r3lyeBee2iAM073h02rx5rsnLuRi9pAri2UbLdRrOu/o2OOv1uxC52wh9LrktVSnpGJ23JPzTUtic+r1aIPPh3ZkcLAkv0N0mS9swEdvDnve1a/BQ/a+wLmoFoKwe0W6L8qSzkDm1EL+ZKjwqV2Ssj69e7eKSivTReVgifiLmYl1FZqhXJHcafPuruGeWBEiABEig6wjwz0Bdx56RSSChCYhJxC9/+UvIsyxqa2u7tL9NDb/Fsxv+hvvuHI2zI+uMu1QQg5MACZAACZBAAhHgpCKBBpNdIYHuRkCeZSG3nH3nHf12o9b70LQXJTlpOCltGRpnPoppJq9KWRdBhyRAAiRAAiSQ4ATUVeZeq7lVG+ZJgAQSi0Bn/N6vW7cuvDOUuHfkCtIOKkHSKsYkSHqptSO/RbHbkm1sPqwlARJwwv+eqxz4pCLBJ43sHgnYIND27IC2XnU24mnFrFmzMHXqVN+doXQ+2kb1LtH50dULr7ZsvBW2lNqIY8NHiyL/lK04Oj+6en+FrWt0fnT1wpstm9bK2uZsxLHho62ytiW24uj86OrbKvMu0fnR1QuvNmx4+J33+LA0cQjw8LvEGUv2hAROmICNw+9kcHnQk8yLu7vs448/xq9//Wv06tULN9xwA045pfkAOvUfbXcbt49Yh135tZFa1Hq3Xz8brzbSVt5VG5mXWqWd+y5tZJmal+Xuu2qj5t22Mq3aqHlpJ+5Sr2qj5t1tZFq1UfPSzn1XbdS821ampY2fVmnnvss2skzNy3L3XbVR825bmVZtZF5qlXbuu7SRZWpelrvvqo2ad9vKtGqj5qWduEu9qo2ad7eRadVGzUs79121UfNuW5mWNn5apZ37LtvIMjUvy9131UbNu2390rKN0Dp/vtcmE34tWU4C3ZcAD79Tn9MwTwIkECage/1Jd6iTcNIem/379zu33nqrM3ToUEek5WXiw+TVDJ0fXX17+yP1q3cbWk202OqPTq+tODo/unrBRKe1M7np9NrQ2pn90enV9ddEq4mNSRydVltxTLTobEy0Cr28SCAIBLy+N/BE7SCMHDWSQJwJeP3PIc4hnaNHjzr5+fnh9zLFSdymV5D+YQ6SVsE/SHqp1fQ3pv12ZNt+ZmxBAj2NgNf3Bq6p6L5PlqiMBLoNAfXVJC9h7bURO0MtXboU69atw4gRI7B+/Xqj95a9YqtlOi26euHPlo2qTc3biGPDh6rLK28rjs6Prt5Lm1eZzo+uXvi0ZeOlz11mI44NH25NfmlbcXR+dPV++tRynR9dvfBnw4ZrKtSRYT7RCHBSkWgjyv6QQMAIiAXc27dvDy/g3rJlC44dOxawHlAuCZAACZAACZAAJxX8DJAACXQ5geHDh2P//v3YvXs37rrrLtTV1XW5JgogARIgARIgARIwJ8BJhTkrWpIACcSRgDiB+5//+Z/DEXJzc8MTDK9wQdo9JUhaBesg6aVWr98OO2Vka4cjvZBATyPASUVPG3H2t5lAUwOq1xViVFISxLZoSUk5KCz5NaobjvsQasKhyjlIi9rLdi33tMJKHAq3/gK1JZMiflvqk5LSkFOyF02eEaT/NIxathNH2tjI+kkoqf2iTW2iFIjtZVesWAHxStSVV16J0tLSNl0L0nvJQdIqQAdJL7W2+dWwVkC21lDSEQn0KAKcVPSo4WZnmwkcx4ebF2Hss8DNVfVodBw01j+EC7bNxtifbY9MDFRWyUgdvRj1jiN2THP9/AVVRd8DspbjpQezkBpudgR1NR8ie+3bYd8t9vUoyxuA2L90DdiavwCrqz9XBfSYvFjAPWPGDJSVlWHChAm+B+X1GCDsKAmQAAmQAAkEgAAPvwvAIFGiZQJNe1Fy3fV47oZf42XXl/ym2hJcl7UPhXsXYnRq7K/+zYqacKT6CYwdUoHvVW3ErMyzm4sPVaJwQAGwcQuWjD7XULx4EjEXA64pR0bW59iK6ah66W5kpkgdsn4fFtasR176aYZ+zcw68/A7oUgeBiXVqXlp8+ijj+Lpp5/G2WefHT4wTxyaF+uwK9WPLi/juHd2MWkjdcu7XxupVdq5735t3DZqOt5tpN54x5H96kgcP63St/vekTjSj+pDlrvvqo3MS61uW5mWNn55We6+x7uN1BvvOLJPHYnjp1X6dt87Ekf6UX3I8lh32UZoDdKrZbH6xDoS4OF3PW0TYfbXm8DBCqcglOkUVHzSut6vvLVVS+7w605RVsgJFVQ4B1tKncaatU42Jjpra465SnXJRudgxWwnhInOM+XrnbxQyMkqet05HG3WUt8+v1EHMRNe+027G+gOdRK2Nmy8fIjzLORBeeI8C5M99L38dEV/bGg1Yavrr4kPYaPTayuOzo+u3kSrSZ9N4tiw0XE10WpiY0OrCVtbcXR+dPUmWjuTm06vyedA6OVFAkEg4PW9Qf4ZlFMuEugxBJo+eg+7G/y6W4/d733qs+7B3eY4Pixfj+U1uSi+a0TktSdR34QjdfuwJ3Q6Pi69I7oGI23qMpRWNxj4BU66eBwWFOeipoe/BiVpi9eh1qxZE34lSpxn8dWvflVWdft70P4qGSS91Bq/jz/ZxodtkLjGhwC9JjoBTioSfYTZP4VA5Eu/UtrubNO7KHu6FJicizF9ermaH8dH7+1DQ0Y/DJu6JrIGoxG1D/TD67PuxHKjtRK90Gd8Porz3kf+rJ+j+oj30m5X0B6RlOdZiFeibrvtNnz22Wfdvt9BWvAqYAZJL7XG7+NPtvFhGySu8SFAr4lOgJOKRB9h9i8uBJr2/Q7PlV+F+yZd5XpKIUKdhvS85+H8Zh5Gh+RkIxkp6d9BzrD9yJ9TilqTOULyxRi/YD7yaoowa3WVx25QcelWt3cqzrOYNGlSWOe1117ru+1st+8IBZIACZAACZBAghHgpCLBBpTd0RFIRkrf/hikM4tZ/wX2bd+C8uxcfP/KyOLsmPaiMgV9M/oBe/ahzvDJQ3Kf6/kalAfX1NRU7bazHs1YRAIkQAIkQAIkEEcC3P0pjnDpupsS8Nudya9c7UZ496jRmDt4I/YuGa08qVCNZV6cXTEFGXP7o8Jzdymf3Z2a3kfpbddjwrtTUT7zE0yd8Ke47f4ktr4N2rVjxw6IdRb5+fnhXVXE+gteJEACJEACJEAC8SXgtfsTn1TElzm9d0cCKWnIGPR5mwXZzQu4+yGjb0pM1c2vPqVhcs7X204oxIQjJw0tB+FJV+LsincRmjwGQ4y2q420i74GtRwPr9wunXX63b3lql9wGzYmPtzvJYvXofbv34/a2lqMHDky+jqUzo+uXvTRho1ba1dzM+mPTq+JDxs2Jj50Wk3G0CSODRsbWjuzPzq9NpjY6o9Oq604NvpsolXo5UUCQSXAJxVBHTnq7gCB4/iw9D4MnXEMCysfR96AVDQ17MAT909D0QVPaJ4++DxRiKqJnF0x9k1MjvgO7wi1dwOmX/97jNu2HLmtFnbLhrH8RvROeBINmIi1J3hOhfirQqzroYceilXtWyd2NHH/Y6nmvRqqNmq+vW3+/ve/47XXXkNlZSXGjRuHK664IuxC9avm2xvHy16UqX7VvFc71UbNs40XAbLm5635c6H+vqh5r0+PaqPmbbVR/bjjiDQvEkgEAl5PKsTJwK0ur31nWxkwQwKJQOBwjVOxtsDJAsQ7Pw5wuTOlaJNTVf9ltHfN501AOYfC5LyIL536qk1O0ZTLI75DTlbBWqeixn2aRTRMJKHx2/iesylP+JPnX3zp1Fc83KI/a7azKaZ/NV7rvO73Xrf/uvBmw8bER6y93sU5FkOHDnWGDx/uHDhwoHUnXTmTODZsYmmVcmzEseFD6NHptRVH50dXb6JV2Oj86OpNfJjY6Lia+DCxsdUfnV5bcXR+dPWCiU5rZ3LT6TXRKvTyIoEgEPD63nByIsyW2AcSaDeBlHSMzlsS/vFrm5yehzInT6lORuroxaiPufygF0KZuZi1TvwozX2zGr/JFyN37R44a6WD/fjvdeXot+k9VOSehV3LfoI52+sxPj0VPfmdRvE6VGlpKW688UaI3aGeeeYZDB48WELjnQRIgARIgARIIF4E1NmQ18xDtWGeBEigiwn8rcopuuwOZ1P93xzHiTzlmLLJqT9BWUH6vTf5a584hXvdunXhJ0UrV650RL4rLhOtXaHLL2aQ9FKr3yh2vJxsO87Qy0OQuHrpZxkJuAl4fW/oyX/UjNc8jX5JoJMJJOOMs3rjjDhGtbFIUcjT+dHVm3Zx3bp1EIfl7dq1C+vXr8cPf/hD1NXVRZubxLFlEw3qk7ARx4YPH3mtim3F0fnR1bcSFSOj86OrF65t2cSQGa6yEceGD51Om0x0enX1JlpN9JrEsWVjqpl2JBBEApxUBHHUqJkESMCIgHj1acuWLUhPT8eFF14YfjXKqCGNSIAESIAESIAE2kWAk4p24aIxCXQTAiefh37Da/D6258D+Bxv/GYHLhs5EOd3E3ndSUbv3r2xdOlSbNq0CRMmTEBBQQH++te/dieJ1EICJEACJEACwSfgfj9KpL3ekVJtmCcBEuhqAl86dZumOyG5e1VourOprmXnqvaqC9LvfUfeS96/f78zbty48A5Ru3btai+mdtt3RGu7g1loECS91GphwH1ckK0PGBaTAAlECXh9b+CTiuDPC9mDHkmgF/rkFqPeccS20HDqi33Ov7ADx9b7xDo/unrT3vj56du3L375y19i4MCBuPLKK7F48WIcO3bM062fD7exiY3b3itt4kNno6sXcU1svPS5y0x82LAx8eHW5ZfW+dHVC7+2bPw0ynIbcWz4kHpi3W3F0fnR1cfS6K7T+dHVC182bNzn+bj1MU0CiUKAh98lykiyHyTQAQLiEJtVq1Zh2rRp2n88VRtdXsjS2aj1sdo0NDQgFAq18RmrjUTjjiMWbm/cuBHnnXcerr/++vDdxIf05b67/bp9SK1uW5n2ayPrve7xbiP1xjuO7FtH4vhplb7d947EkX5UH7LcfVdtZF5qddvKtLTxy8ty9z3ebaTeeMeRfepIHD+t0rf73pE40o/qQ5bHuss2QisPv4tFinVBIsDD76IPbZggARJwE/B6jOmu1x3qJGxt2Jj4MHk1Q+dH1outZhctWhR+7VNsQeveelbauDmoaZ2NDa0mbHU6THwIG51eW3F0fnT1JlpN+mwSx4aNjquJVhMbG1pN2NqKo/OjqzfR2pncdHpNPgdCLy8SCAIBr+8NfFIRpGkhtZJAnAh4/sUhTrE66la8QmD7r327d+/G7bffjrS0tPCibrFblI0rHlpt6PLzESS91Oo3ih0vJ9uOM6QHEkh0Al7fG7imItFHnf0jAQsEbLxPLGTo/OjqTbui86PWu7eezcjICJ9tsXLlSm041Y+2gYeBiQ+dja5ehDWx8ZDXqsjEhw0bEx+thPlkdH509cKtLRsfidFiG3Fs+IgKipGwFUfnR1cfQ2KrKp0fXb1wZsNGTNZ4kUAiEzg5kTvHvpEACZCAKQG59eyYMWMwd+5cHD9+HDk5OeEzLkx90I4ESIAESIAEeioBPqnoqSPPfpMACXgSyM7ODh+YJxZwy6cWfjtEeTpgIQmQAAmQAAn0QAKcVPTAQWeXSSDIBGyvp/BiIZ5a5ObmoqysDMXFxfjhD3+I2tpaL9OYZZ2hNaaAdlYGSS+1tnNw22FOtu2ARVMSIIEoAU4qoiiYIAESCAKBznwvWT61EAu3T+SpRWdqtTF2QdJLrTZG3NsH2XpzYSkJkEBsApxUxObDWhIggR5OQK612LVrV/SpaLB5lgAAIABJREFUhdgtihcJkAAJkAAJkEALAW4p28KCKRLosQR64uF3crDlwVQm+b/97W+oqKjACy+8gHHjxuGaa67BKaec0uYgPulTHswlfbvv0kaWqXlZ7r6rNmrebSvTqo2al3biLvWqNmre3UamVRs1L+3cd9VGzbttZVra+GmVdu67bCPL1Lwsd99VGzXvtpVp1UbmpVZp575LG1mm5mW5+67aqHm3rUyrNmpe2om71KvaqHl3G5lWbdS8tHPfVRs177aVaWnjp1Xaue+yjSxT87LcfVdt1Lzb1i8t2witQXq1zK8/LCcBQcBrS1moB2x4HWah2jBPAiSQWAR0v/e6Q50EDRs2Jj5MDpDS+dHV6/qza9cuZ9y4cc7FF1/slJWV+X4YbGjVaTGpN7XR6e0oNwlK50dXL/zotJr02SSODRsbWjuzPzq9NpjY6o9Oq604NvpsolXo5UUCQSDg9b2BTyo44SQBEvD+iwO5xCQgdoT61a9+halTpyI/Px/3338/xKtSvEiABEiABEgg0Ql4PangmopEH3X2jwQsELBx8JOQofOjqxc+TBaR6vzo6k20nn766Th69Cj279+Pv/zlLzjnnHNQWlrairYNrSZabPTHhK2tODo/unoTrZ3JTaeXnwMxGm0vHTddvfBog61JHBs2JlrbUmIJCQSHACcVwRkrKiUBEuiGBPr27Ys1a9aEt5997LHHMH78+BPafrYbdo2SSIAESIAESMCYACcVxqhoSAIkQAL+BOT2s8OGDQtvP7t48WLw0Dx/XqwhARIgARJILAJcU5FY48nekMAJEfB6N/KEHLFRmIDYcvbhhx9GfX09Fi5cCDHh4EUCJEACJEACiULA63sDn1QkyuiyHyQQRwI23icW8nR+dPXCh8l7yTo/unoTrbFsBg8ejF/+8pe49NJLkZOTg9tuu833lSgbWmz4MGFrK47Oj67eRGus8RF14jKJY8PGxmfWRK8NrSKOTq+tODo/unoTrZ3JTadXx1Vo5UUCQSbAJxVBHj1qJwFLBMRfHFatWtXmvAUv93LPdVmnyws7nY1aH6tNrH3pVT+6fKw4fv2T5e67XxyhNTU1Nbze4pVXXsENN9yAoUOH4itf+YqWidu/TPvFkfVe9/a08WOr+uhoHNle9avmpZ37Lm38tLptZVq28cvLcvfdZhup1e1fpm3GkT697u2JI/W2p42M2dlt/LRKPe57Z2lzxxRpGVdo5TkVKh3mg0rA60kFz6kIwmbA1EgCcSbgtd+0O6SNPdqFP50fXb3wYbLXu86Prt5Eq4mNW6s822Lo0KHOpk2bRPPwZUOLDR9CjFtvRF6rm604Oj+6ehOtwkbnR1dv4sPERsfVxIeJja3+6PTaiqPzo6sXTHRaO5ObTq+JVqGXFwkEgYDX9wa+/hTUKSJ1kwAJBIqAfCVKnGfBXaICNXQUSwIkQAIkYECAkwoDSDQhARIgARsExNkWubm52LJlC+QuUeJsi88++8yGe/ogARIgARIggS4jwElFl6FnYBIggZ5KQJy8PWfOHNTU1IQP0BMH561fv55b0PbUDwT7TQIkQAIJQICTigQYRHaBBEggmATS09Nx0003hRdyFxcXY+TIkSgvLw9mZ6iaBEiABEigRxPgpKJHDz87TwIk0B0IiHMstm3bBrHeQmxBy1O5u8OoUAMJkAAJkEC7CKgrzL1Wc6s2zJMACSQWgSD93gdpB5UT0XrgwAFn0aJFjhiT/Px8Z//+/Z32YTsRvZ0mTglErQoQi1mytQiTrkggQQl4fW/gk4p2TcFonDAEmhpQva4Qo5KSIPZaTkrKQWHJr1HdcDx2F5v2oiQnLdJGthX3SSip/SLS9jgaqjegcJS0S8OowjV4oboBTb7em3Cocg7SktIwatlOHGljJ+vdcdoYxa1Ad6iTCGzDxsSHSSd1fnT1tvpzIlrd6y1E+wsvvBA33nhjzMXctvqj02srjs6Prl6nU9br/OjqhR9bNlKT391GHBs+/PS5y23F0fnR1bs1xUrr/OjqhW8bNjz8LtYosS4RCPDwu0QYRfahnQSO48PS+zB05Vfw6LJ7MDkzBDTswBP3T0PRBU9g75LRSPXzeKgShQNWI2PreuSln+Zp1fRhKW4b+jTOffQR3DN5GEJowM4n7sf4oj7YuHchRqd6zeXFpGEuBlzzKBrwPRRVbcSszLNd/mX9Piys8Y/tatCuJA+/Wx3lJQ+qkgVqXpa776qNzMuDudy2Mi1t/PKy/J133oE4OO+NN97Apk2b8OGHH+KUU04JV6s+ZBv3XbVR825bqVe1UfPuNjKt2qh5aee+qzZq3m0r09LGT6u0c99lG1mm5mW5+67aqHm3rUyrNjIvtUo7913ayDI1L8vdd9VGzbttZVq1UfPSTtylXtVGzbvbyLRqo+alnfuu2qh5t61MSxs/rdLOfZdtZJmal+Xuu2qj5t22fmnZRmjl4Xd+lFgeNAI8/C5BH0GxW+0k0Pi2szb7Mid77dtOo6tpY81aJzs026k46C51GTiNzsGK2U4ops0xp2btRAfZa50at5twzKudgopP3A5d6YhvZDpZWZc5yFruVB1u5aA5NiY6a2uOudrZSXo9xnR71h3qJGxt2Jj4MHk1Q+dHV2+rPza0Si3iwDxxcJ56eJ6sF/dYl0mfdXpNfNiwMfGh0ypY6Pzo6k18mNjY0GoSx1Z/dHptxdH50dULJjqtnclNp9dEq9DLiwSCQMDrewNP1A7CyFGjXQIHK5yCUGbbL/h+5dHoPhOGaL1IfOJUFGQ6oYIK56BRuTSSk4qJzjPl6528UMjJKnrdOSyr5YSmiyYVURndIBGkf5htaz169Gj4NG4xsRg3bpyzfft2qyNiW69VcYozalWAWMySrUWYdEUCCUrAa1Lh9R5G0J7AUC8JtItA00fvYXeDX5N67H7vU5+1D0dQV/MuQhfsR+lPBkXWVQzC1GWlLWsxmj7Fe7vr/ZyjYfd7+Mh/YUW43UkXj8OC4lzU5C/A6urPfX11ZoWN94mFXp0fXb1pn3V+dPUmWk1tdJrbo8V9eN6YMWMwYsSI8E5Rc+fO1YXRstc6MBg/Uya6PuvqTbSaaDGJY8tGp9lGHBs+dDpNuNqyMemPDb0mcWzYcE2FyWjRJsgEOKkI8uhR+wkQaMKRun3YcwItEZ4wfI6MPldj6s/3iKd8cJwdeKBfFWb96ElUH2kCjtSjZo/vjMUwai/0GZ+P4rz3kT/r581+DVvSrGcQEIu5Z8yYgQMHDkBMLhYtWoSCggLU1tb2DADsJQmQAAmQQLcjwElFtxsSCuq2BJIHIK9sH36z+LsIRX9zUpE+ZgyG1RRhzvO1Pk84TqBHyRdj/IL5yKspwqzVVR67QZ2ATzZJOAJycrF48eJw3zIyMji5SLhRZodIgARIICAE1Fe9vN6RUm2YJ4EgEwgvyIbfmopQmwXc2r6GF2GHmtdRuNOtGjavtWizgDtq07KmomUh9pdO3abpTgjfc4qqDnTpQu2oTCa6NYGamprw2Rbi/+PijAuR50UCJNA9CARprUr3IEYV3ZmA13wh+vfWgMyBKJMEOkwg+YJLMDjk5yYNgy85Fyf8i5F8Li4ZnObnHKHBl+ACY+fu16BK8Prnjb5+411h431ioVHnR1cvfJi8l6zzo6s30WpiY0OrSRzZn/T0dCxduhQ1NTWiGdxPLqRNuMLnPzq9Jj5s2Jj40GkVXdT50dWb+DCxsaHVJI6t/uj02oqj86OrF0x0WjuTm4leoYcXCSQqAeOvN4kKgP3qgQRS0pAx6PM2C7KbF3D3Q0bfFE8oTbUlyEkagsLKT1vXh9dRpGFyzteRihT0zejXdkF2ZD3GoIw0eHtv7TKai74GtRwPr9weLWaCBGIR8JpclJaWcs1FLGisIwESIAES6BABHn7XIXxsHEwCkcPvZhzDwsrHkTcgFU1Gh999juplN2HsnomofHIyBqSIOfkh7C25F9fv+B62rclFn2Sg+fC7efj7wl/iybzLkdLUnsPvvA63i+id8CQaMBFrw4ffJaOh8lH86JqHsVUMQtZsbHr6fuSm+x7bF96tKtZ4PfTQQ7GqfevEYU7uvxaqea+Gqo2aZxsvAggfnHUirMWi7l27duF3v/sd8vPzcfToUZxzzjneQXDicU5EG9vw90f9/VfzXh9U1UbNd2UbNbZbm0jzIoFEIMDD77rzy2nU1rkEDtc4FWsLnCzAEe8FApc7U4o2OVX1X0Z1NK+9QOszJxrrnapNRc6UkGyX7RSsrXBqWh1Ud9CpqVjrFGSFIr7hhKYUOZuq6lsdthcNFE54ralwWTS+52zKu9xB9JyKD5xNU6528ja95zQ6f3Gqisa3fy2Iy73Xu5Guau0hYsJWd/CTiY2JD5P3knV+dPUmWk1sbGg1iWPaH92aC51e0zhCc6xL50dXL3zrtAobnR9dvYkPExsbWk3i2OqPTq+tODo/unrBRKe1M7np9JpoFXp5kUAQCHh9b+CTikSYLrIPPY/A36uxbMAa9PttMXJDyThUORcD1g1B9bpc+C4XiUHJ8y8OMexZFWwCYuvZ//N//g+KiorCTy5uvfVWiFemeJEACZAACZCACQGv7w1cU2FCjjYk0K0JJOOMs3rjjDhqNFmAaMPGxIf7dRm/Luv86OqFXxs2NrSaaGmvVq81F+KcC/GaVKyrvXH8fOn86OqFXxtsTeLYsLGhVfRZp0VXb+LDhK2tODo/unoTrSZ9Noljw8bkcyD08iKBoBLgpCKoI0fdJEACJNBBAurk4sknnwyf0L1jx44OemZzEiABEiCBnkaAk4qeNuLsb2IQOPk89Bteg9ff/hzA53jjNztw2ciBOD8xesdedDIBObkQi7jFCd0jRozg5KKTx4DhSIAESCDoBLimIugjSP09lIB7RygAoenY9PvlyO3T64R4eL0beUKO2CghCHz22Wf4xS9+gZkzZ2Lo0KG4//77cd111+H0009PiP6xEyRAAiRAAh0j4PW9gU8qOsaUrUmgiwj0Qp/cYtQ7DhzxU198whMKkw7YeJ9YxNH50dULHybvJev86OpNtJrY2NBqEsdWf6Te3r17h9dXiK1nxYTisccew8iRI3HjjTdCTDhiXTa0mPiQWjuixSSODRsbWrvic+DH1gYTW/2xwbaz+mOi1Y85y0kgCAT4pCIIo0SNJBBnAuIvDqtWrcK0adO0X/xVG11eSNfZqPWx2jQ0NCAUCrXxGauNxNeeOLHayDp5V/3KvNQq7dx3aSPL1Lwsd99VGzXvtpVp1UbNSztxl3pVm6lTp4YnF9u2bcMbb7yBG264AQMHDsR5550Xba62UfNRQ1dCtVHzLtNoUtr4aY0auhKyjSxS87LcfVdt1LzbVqZVG5mXWqWd+y5tZJmal+Xuu2qj5t22Mq3aqHlpJ+5Sr2qj5t1tZFq1UfPSzn1XbdS821ampY2fVmnnvss2skzNy3L3XbVR825bv7RsI7TynAo/SiwPGgGvJxXir5ytLq99Z1sZMEMCJJBwBHS/97r91wUQGzYmPkz2etf50dXb6o8NrSZabPVHp1fE2b59u3PrrbeGz2DJz88P592/EDa0mPjQae1Mbjq9NrR2Zn90enX9NdFqYmMSR6fVVhwTLTobE61CLy8SCAIBr+8NfP0paFND6iUBEiCBLiQwfPhwrFmzBjU1NTj77LOji7rLy8tx7NixLlTG0CRAAiRAAl1JgJOKrqTP2CRAAiQQUAJix6g5c+bgwIED4R2j5s6dG1538dprr2nXXQS0y5RNAiRAAiQQgwAnFTHgsIoESIAESCA2AbmoW6y3WLhwIXbv3o1zzjkHixcvhji5mxcJkAAJkEDPIMBJRc8YZ/aSBEiABOJKQGw3m52dHV5Av2vXLnz++efIyMgIn3fBV6Piip7OSYAESKBbEOCkolsMA0WQAAmQQOIQGDx4MJYuXdrm1aji4mK+GpU4w8yekAAJkEBrAuoKc6/V3KoN8yRAAolFIEi/90HaQSVIWsUnOl56jx496pSVlTnjxo3z3TWqvb9R8dLaXh0m9kHSGs/PgQmr9toEjW17+0d7EuiuBLy+N/BJRes5FnMkQAIeBDrrcCiTOB7y2hTp/OjqhUNbNm3EKQU24tjwocjyzJ5oHPlq1ObNm8O7Rn3wwQfhXaOGDRuG9evXt3l6YRLHU6BSqPOjqxfubNko0tpkbcSx4aONMI8CW3F0fnT1HtI8i3R+dPXCqQ0bHn7nOTwsTCACPPwugQaTXSGBEyXAw+9WR9HJg6pkgZqX5e67aiPz8mAut61MSxu/vCx33+PdRuqNdxzRp7/+9a+49NJLsWDBgvCBet/97nfDp6Xv2bPH3eU2aanNT2ubBgaHL8a7jdQa7zhe/mWZ5OaXl+XiLvW2p41s39lt/LRKPe57Z2lzxxRpGVdo5eF3Kh3mg0qAh99112dI1EUCXUzA6zGmW5LuUCdha8PGxIfJ6w46P7p6W/2xodVEi63+6PTaiqP62bVrl7No0aLwq1FDhw51pk6d6hw4cMD9EWyT1mntTG5qf1SxNrR2Zn90enX9NdFqYmMSR6fVVhwTLTobE61CLy8SCAIBr+8NfFIR1CkidZOARQKef3Gw6J+uSMCEwGeffYatW7eGX4l64YUXkJ+fj3HjxuGqq66CeIWKFwmQAAmQQPcg4PW9gWsqusfYUAUJdGsCNt4nFh3U+dHVCx8m7yXr/OjqTbSa2NjQahLHVn90em3F8fMjzrzIzc3FtddeC7Et7UUXXRReezFy5EiInaPq6uoEjvCl0yqM/OJEXGjrTXyY2NjQahJH118TH8JGp9dWHJ0fXb2JVpM+m8SxYaPjKrTyIoEgE+CkIsijR+0kQAIkkKAExLa0M2bMwNGjR8OH6r3xxhu48MILee5Fgo43u0UCJBB8AicHvwvsAQmQAAmQQKISkDtHiYP1xF96xQ5Sc+fOxe9//3ucffbZEE8xhg8fnqjdZ79IgARIIDAE+KQiMENFoSRAAoJAkHZPCZLWILDt27dv+OnFzp07sX379vAvxIgRIyC2phWvR9XW1nbLXxJ+DuI3LEFjGz8S9EwCXU+Ak4quHwMqIAESaAeBIL2XHCStYgiCpLe8vBxz5sxp9XpURkZG+PUor7Mv2vERs24aJK5B+xwEja31DxcdkkA3IsBJRTcaDEohARIgARJoHwH5etSaNWtw4MCB8ELv0tJSnHPOOdi4cSPE5EPsKsWLBEiABEggvgS4pWx8+dI7CQSCAA+/4+F34oPqd5CYPLwr1odZtVHzXm1VGzUfq42fVtnm448/xltvvYXXXnsN77//PsTheldccUV4R6mZM2dqd35Stah5Gcd9V21kXmp128q0tPHLy3L3Pd5tpN54x5F96kgcP63St/vekTjSj+pDlse6yzZCK1/XikWKdUEi4LWlLNQDNrwOs1BtmCcBEkgsArrfe92hToKGDRsTHyYHSOn86Opt9ceGVhMttvqj02srjs6Prl4w0Wl1cxOH661cudIRB+uJz7o4aG/79u3OihUrhFnMy0SLzqY9WmOJ0cXR1QvfJjY6vSY+bNiY+NBpNemzSRwbNiZaY40/60igOxHw+t7AJxVBmhZSKwnEiYDnXxziFItuSaArCezYsQPbtm3DAw88EJaxaNGi8A5SPGCvK0eFsUmABIJGwOt7A9dUBG0UqZcEuoCAjYOfhGydH1298GGyMFPnR1dvotXExoZWkzi2+qPTayuOzo+uviOfA7H9rFzgPWvWLOEqfMDeGWecgcWLF0NMOo4dOxYuF/8x0aKz0XG1FUenwzSOTq+tODo/unrRH51Wkz6bxLFhY6JV6OVFAkElwElFUEeOukmABEiABE6YgFjgfdlll0UnGO4tat0TjL/97W8nHIMNSYAESKAnEeDhdz1ptNlXEiABEiCBNgTEBEM8wRA/9957L/7whz+EX5ESZ2CI6/DhwxgyZEj4p3fv3m3as4AESIAESADgmgp+CkiABOD1biSxkAAJALt37w4ftCfOvhCneN96662YOHEiBg4cCHEYHy8SIAES6IkEvL438PWnnvhJYJ+BpgZUryvEqKSk8BfqpKQcFJb8GtUNx2PTOVKLyhJ3u0GYuqwMtUeaXO2+QG3JpIhf6V/c05BTshduy5ZGTThUOQdpSWkYtWwnjrRURFKyfhJKar9oUxvvAhvvEwuNOj+6euHD5L1knR9dvYlWExsbWk3i2OqPTq+tODo/uvrO/ByILWlnzJgBcYr3rl278O1vfxtPPfUULrzwwuhBewsWLBCSfC8dV9HQpM86G129aRydXltxdH509aI/Oq0mfTaJY8PGRKvQy4sEgkqATyqCOnLU3QECx/Fh6X0YuvIreHTZPZicGQIaduCJ+6eh6IInsHfJaKR6eW96H6W3XY8Zf5+GzY/dhmGhXmiS7U6ej9+vyUWf8DT9U1QWjsOSjLV4OW8AzGbuYtIwFwOueRQN+B6KqjZiVubZLhWyfh8W1qxHXvpprrqOJ8VfHFatWgW5n3osj6qNLi986WzU+lhtYu1Lr/rR5WPFkQxUH7LcfVdtZF5qddvKtLTxy8ty9z3ebaTeeMeRfepIHD+t0rf73pE40o/q4y9/+Qtqamqwb9++8OLuiy++GGLhtzgT46KLLsIpp5wS/dxLrdKX+676VfNuW5lWbdS8tHPfVRs177aVelUbNe9uI9OqjZqXdu67aqPm3bYyLW38tEo79122kWVqXpa776qNmnfb+qVlG6GV51T4UWJ50Ah4PangORXdadNfaukcAo1vO2uzL3Oy177tNLoiNtasdbJDs52Kg+7SFoNwPTKdgopPWgodx2lTfrDCKQi1tWvVqE2m0TlYMdsJIdPJyrrMQdZyp+qwW4esn+isrTnWpnVHC7z2m3b7tLFHu/Cn86OrFz5M9nrX+dHVm2g1sbGh1SSOrf7o9NqKo/Ojq+9un4Nly5Y5ZWVl4fMvxO+S+MnPzw+X7d+/38pnlp8DQaDtpfvMiha6z5Ou3sSHiY2J1rY9ZAkJdE8CXt8bOKnonmNFVfEk4Pel369co6V5UhGKTlKa8+398t8yaXimfL2TFwo5WUWvO4ejsVvqu2JSEZXRDRJB+oc5SFrF0AZJb3fVevToUUcetjdu3LjwBCMjIyN8+J4oF/Xd/equbL24UasXFZaRQPwJeE0qzN7MCNozGeolgRgEmj56D7sb/Azqsfu9T33WPfi1EeUjcMOIS5CMJhyp24c9odPxcekdSIus2Uibugyl1Q1Gfk+6eBwWFOeiJn8BVld/Hitop9XZeJ9YiNX50dWbdljnR1dvotXURqfZhhYbPnQ6TftrQ4uJDxt6TeK010bsJDV48ODwOozNmzdj//79uOKKK/DGG2/gyiuvhNiutqCgAOXl5airq4t2o71xog1dCRs+XO58k7bi6Pzo6n0FKhU6P7p64c6WjSKNWRJIKAKcVCTUcLIzegKRL/16QzOLpvexecnj2JN3I3L6i3UOx/HRe/vQkNEPw6auQb3jwHEaUftAP7w+604sN5ok9EKf8fkoznsf+bN+jupWi8DNZNGKBEigexAQO0QNGDAAa9aswdGjR8M7SYk1F+7F3sXFxXjnnXdaHbrXPdRTBQmQAAmYE+CkwpwVLUlAIXAIe59dgBnv/gAbF14fWaR9GtLznofzm3kYHeoVsU9GSvp3kDNsP/LnlKLWe/un1r6TL8b4BfORV1OEWaurPHaDam3OHAmQQPcnIM/DELtJyacYd955Jz744AMsW7Ys/BTjtttug9i+tra2tvt3iApJgARIwEWAh9+5YDDZEwgkI6VvfwxCeQc7ewh7S+7F6LnAwsp7XRMIP7cp6JvRD9iwD3VHmpCeqp/PJ/e5HguKKzF0wgKsHrUet/u5ZjkJkEAgCYinGOInOzsb/fr1wze/+U388Y9/xG9/+1tMnTo13Kf8/HyMGTMmfC5GIDtJ0SRAAj2GACcVPWao2VFJIPmCSzA4JHPqPQ2DLzk39jawTQ3Y+cT9GF90MhZWPo68AZ4b0KqOTyAvX4O6HhNmleCKmY0n4INNSIAEgkJArMUQP1OmTMGKFSvCJ3uLszHEq1IvvPACxLa1n332Wfhkbx6+F5RRbdHJ7WRbWDCVmAT0fy5NzH6zVz2ZQEoaMgZ93mZBdvMC7n7I6JviS6ep4RXMuSYT33ixD4q3ekwomvaiJCcNaYWVONTKyxHU1byL0OQxGGLwlCLaNPoa1HI8vHJ7tJgJEiCBxCagvip14MCB8EneqampmDt3bvjwvWHDhmHx4sVtFn0nNpng9o6H3wV37KjcjAAPvzPjRKuEIhA5/G7GseiThughdrEOvzuyE8vGjkd+TS42/X45cvvINRNuOE04Uv0Exo59E5OjTzGacGTvBvz/9u4/xorrOuD42TWiCabYwT/CW+PGwnSXqGBVBVJFVM4GKkhUq0GL/F9sp4sju+lPW3RRgLpVBXbAVlNTV3ZULwqliuRGICr/QbBYYktBxTYoaWwFL0IRVvGuXbAcY6wGFHaq85azGe6bt/cu787bN/O+T0LzZubMued+5q395s2P+2f3vC5feaX+duOD32UNbnel3nX/IqNyrwxe4+B3OlDNZK/HHntsstV11+mvb+n/WbrzWRu6Me4822QJSHXgLKz5vOnfyyOPPCJnz54VHVDto48+ktdff126urqqN4VXKhW55ZZbRA9A7OX+jbnzFpeeujHufDrW3rsx7rzFpadujDufjrX3bow7b3HpqRvjzqdj7b0b485b3GTT9Db6nhcCZRBg8Lv8H9tLC0UR+Gg4GRocSHqvDFQlsji5/8m9ybGRixM9GB9vQpLKwFDyYfJ/yfDgvdVnztvgVu50PE43v5iMHNubPHn/4ivxlaR3YDAZGv5wInftG884FJdPJ3v7NZ+Nf3ExGRn6+1/X3/vNZO9QWAHPAAAS2ElEQVSk+WtbTC/Jet50en2zBocKaSfkufS+PL712vcYMTFqDaklRq3ajq/eWO348vjWh9TaTDdfvT7XkFp9MTrI3oYNG6rjYdj4GPp3rYPw7d27NxkeHtYUQZ9rX72+/oa248vjW6/t+GoNqSWknRgxIbVqvbwQKIJA1vcG7qkow+EifZi6wOxuWdm/vfqv3sad3f1yMOmfWD1Hn+r069mJ5bVvZkplaZ9s2K3/atdmL+mUOSsflxE9DMl6dX5G+gbfkGTQVv6P/Nful2TB3tMy1HeD/PipP5FNPxqRtd1zJr8fxDZnigACpRLQG77vvPNOefjhh6tjZOi9FydOnBC9J+PAgQOybt26an9XrFhRfcrUXXfdJfpo27lz55bKoZU7w1mKVt471BZDgHsqYiiSA4FmC/zqf+XnR5bIH33+NumUOfLbv/dZeeOVn8l7za6D9hBAoCUF9GBBDyD08bU2RoYeYCxevFjefPPN6kB8N910k6xdu3bivgweY5vvrkxfuphvS2RHYHoEOKiYHndaRSCiQKfMumGuzIqYkVQIIFAuARvpW58utWPHDkmSRIaHh0XHydCXPmGqp6dH9DrpQ4cOVcfKOHLkSPVpU+WSoDcIIJCXAJc/5SVLXgQQQAABBFpYoLu7W/SfjpOhL71kSgfie+KJJ6pnM2ysjOXLl0tvb291HA0dT+Pjjz9u4V5RGgIITJcABxXTJU+7CDQiMONWWbBiWF498Qvpq8yQ//7hEbnzC/fIpxvJWZBti3RdcpFq1d1fpHqpNf4frF4ypf9eeOGFanI9o3HmzBl5++23J+7NeP7556vrdIA+faTtokWLqpdU3X777aJnQ5r9KtLnoNk2tIdAswW4/KnZ4rSHQBSBT8vvf+V3ZM+qW6Sj41Oy7B9vk4fWLGiLm7SLdF1ykWrVj2WR6qXWKP8hyUySttUbwNP3ZuhlU/pFXi+b0kfW6k3getnUrFmzqvdnDAwMyL59+6oHI3rmI+9Xuta82yI/AghMLsCZisl9WItAiwrMlNv6npGR5JkWrY+yEECgrAK33npr9ZIpu2xKbwTXm7xPnz5dneqBhp7R2LZtm9ilU3qDuD6dSkcF1wMVXgggUD4BBr8r3z6lRwhMWUBvznz22Werj6N87rnnJt1eH1mZjvHNazJfjLt+sm10sC8d3Gsq21iHYm1j+Wzq5rV5q9Xi0lOLsWXuvC1PT90Ydz4da+/dGHfe4nRq9box7nx6G3vvxrjzFpeeujHufDrW3ltMvVotLj21bWyZO2/L01M3xp1Px9p7N8bmrVaLS08txpa587Y8PXVj3Pl0rL13Y9x5i9Op1evGuPPpbex9OuaDDz6Qu+++u/r0qZGRkeoBh15KpS89+6EHFzfeeKM8+uij8uKLL8r1119fXZfOYXndqcXUq9WN13nbxta587Y8PXVj3Pl0bL33to3WyuVa9ZRYXjQBBr8rwmgi1IjANAhkDWKTLiPGwE+az5fHt15zhAwg5cvjWx9Sa0hMjFpD2onVH1+9sdrx5fGt53OgArWvELeQmDw/B++//351ID4dkE8H6XvwwQcnBhVdvnx5dbC+3bt3JwcPHkx27txZ20lnia9WDff12bc+JEdITEitTveYRaBlBbK+N3CmomiHhtSLQA4Cmb845NAOKRFAAIEsAb186uzZs/Lee+/J0aNHq2c19u/fnxXKMgQQaAGBrO8N3KjdAjuGEhBodYH05U71ao0RE5Ij5MZMXx7feu1jjJgYtYbUEqNWbcdXb6x2fHl860Nqbaabr16fa0itITG+OkJyaIyv3ljtpPPoo231kqi+vr7qOBp6QJFer3VlvXy16ja+PL71ITlCYkJqzeojyxAoigAHFUXZU9SJAAIIIIAAAggggECLCnBQ0aI7hrIQQAABBBBAAAEEECiKAPdUFGVPUScCOQpkXRuZY3OkRgABBBBAAIECC2R9b+BMRYF3KKUj0CyBZl1zHNJOyHXJvjy+9eoaIyZGrSG1xKhV2/HVG6sdXx7f+pBam+nmq9fnGlJrSIyvjpAcGuOrN1Y7vjy+9SG1hvQ5pJ0YMT5XrZUXAkUW4ExFkfcetSMQSUB/cWCcinFMe6a80brztjw9dWNs3p6hn4619xZTb96Wp6d5b2P15t2O9amRdurVarnT00basTxuDluenroxNm+1pmPtvcXUm7fl6Wne21i9ebdjfWqknXq1Wu70tJF2LI+bw5ZPNrVttFbGqZhMinVFEsg6UyHuA3CznjvrxjCPAALlEvD93TfrOe4h7YQ8692Xx7de926MmBi1htQSo1Ztx1dvrHZ8eXzrQ2ptppuvXp9rSK0hMb46QnJojK/eWO348vjWh9Qa0ueQdmLE+Fy1Vl4IFEUg63sDZyqKdFhIrQjkJJD5i0NObTWaVi8hKMqvfUWqVfdLkeql1kb/kupvj219m0bWFMm1kX6ybXsIZH1v4J6K9tj39BKBhgRiXE+sBfjy+NaHdsKXx7c+pNbQGF/NMWqJkcNXZ2h/Y9QSkiNGvSHtxIrx1RujnRg5fHXyOagvFOJff2vWIFB8AQ4qir8P6QECCCCAAAIIIIAAAtMqwEHFtPLTOAIIIIAAAggggAACxRfgoKL4+5AeIIAAAggggAACCCAwrQLcqD2t/DSOQGsIZN1w1RqV1VZRpJsdi1SrShepXmqt/duItQTbWJLkQaC8AlnfGzhTUd79Tc8QiCYQcgNijJiQHCGd8uXxrdc2YsX46o3RTowcvjpjmvjq9a0PqTWk3pB2YsX4ao7RTowcvjpDXGPFhPQnRr0h7cSI0YM1XgiUWYAzFWXeu/QNgUAB/cWBwe/GsWygKqNz5215eurG2LwNzJWOtfcWU2/elqeneW9j9ebdjvWpkXbq1Wq509NG2rE8bg5bnp66MTZvtaZj7b3F1Ju35elp3ttYvXm3Y31qpJ16tVru9LSRdiyPm8OWTza1bbTWojwOe7L+sA4BFcg6U8Hgd0UZZYQ6EchRIGsQm3RzMQZ+0ny+PL71miNkAClfHt/6kFpDYmLUGtJOrP746o3Vji+Pbz2fAxWofYW4hcTwOcjH1uda2ypLEGhdgazvDZyp4IATAQSyf3HABQEEEEAAAQQQyBDIOlPBPRUZUCxCAIGrBWJcT6wZfXl86zVHyHXJvjy+9SG1hsTEqDWknVj98dUbqx1fHt96PgcqUPsKcQuJ4XOQj63PtbZVliBQLAEOKoq1v6gWAQQQQAABBBBAAIGWE+CgouV2CQUhgAACCCCAAAIIIFAsAe6pKNb+oloEchHIujYyl4ZIigACCLSpgF7+xNOf2nTnl7DbWd8bOFNRwh1NlxCILRByHXaMmJAcIdcl+/L41qtfjJgYtYbUEqNWbcdXb6x2fHl860Nqbaabr16fa0itITG+OkJyaIyv3ljt+PL41ofUGtLnkHZixWg9vBAoqwAHFWXds/QLAQQQQAABBBBAAIEmCXD5U5OgaQaBVhbQ05gMfje+h2ygKttf7rwtT0/dGJu3gbnSsfbeYurN2/L0NO9trN6827E+NdJOvVotd3raSDuWx81hy9NTN8bmrdZ0rL23mHrztjw9zXsbqzfvdqxPjbRTr1bLnZ420o7lcXPY8smmto3WyuVPk0mxrkgCWZc/Mfhd644rQmUI1AhcHnk1+e7A6kQHnan+6x1IBvcfS0Yu14ROaUHWIDbpBCEDZsWICckRMoCUL49vvfY9RkyMWkNqiVGrtuOrN1Y7vjy+9SG1NtPNV6/PNaTWkBhfHSE5NMZXb6x2fHl860NqDelzSDsxYnyuWisvBIoikPW9gcufinRYSK3tLTD2tuzf8g35rnxVjo1clCS5KCPbf0te+dOH5J9ePtc2NkX6pa9IteoHqEj1Umt+f/LY5mdLZgTKLMBBRZn3Ln0rlcDYqSH5zq4Fct/6e2VpZaaIzJTK59bL5q0LZM/Bn8r5UvW2fmd8N5HW37L5a4pUq+oUqV5qze/zjG1+tmRGoMwCHFSUee/StxIJjMmFM6fkjcpCuWOeHlDYa6bMu2OhyJ5Dcuz8mC1kigACCCCAAAIINFWAg4qmctMYAtcqcEnePX1KRuttPnpKTr97qd5aliOAAAIIIIAAArkK8PSnXHlJjkAsgXNyeOOXZNWe1TL01lZZOcd+DxiT84e3yKJVp2Tr8L9Jf/cnrqnBzKc4XFMmNkIAAQQQyBLQy8qKdL9KVh9YhoAJZH1vsG8mFsMUAQQQqBGINfCTL49vvRYWcr23L49vvbYTIyZGrSG1xKg1xDZWO748vvUhtTbTzVcvnwPdG7Uvn5tvvWaMYRvSTqyYWgWWIFAeAc5UlGdf0pNSC/xSTu66X3q2LLzmMxX6qwIvBBBAAIHpE0gSfRo4LwSKL5B1pmJG8btFDxBoB4HxG7Ir9bpacwN3beBk/zPL+o9DbYbWWEKt+e0HbPOxLZKrChSp3qLVms8njKwItIYAlz+1xn6gCgQ8Ap0ye/5CWVJzQ/aVG7iXLJT5s/lz9iCyGgEEEEAAAQRyEuBbSE6wpEUgtkDnwlXyUP8J2bLtBXnrgj4+9pKMvjYo27b8XAY2/rF089ccm5x8CCCAAAIIIBAowNeQQCjCEJh2gc7bZfXGp2XrvO/JZ3/zOuno+A3pWvuaLHnmO/LXvTdPe3kUgAACCCCAAALtK8CN2u277+k5AhMCRbsuebL7QyY61QJviuSqXEWql1rz+4Bjm49tkVzzESBrmQSyPs+cqSjTHqYvCCCAAAIIIIAAAghMgwAHFdOATpMIIIAAAggggAACCJRJgMufyrQ36QsCCCCAAAIIIIAAAjkLcPlTzsCkRwABBBBAAAEEEECgHQW4/Kkd9zp9RgABBBBAAAEEEEAgogAHFRExSYUAAggggAACCCCAQDsKcFDRjnudPiOAAAIIIIAAAgggEFGAg4qImKRCAAEEEEAAAQQQQKAdBTioaMe9Tp8RQAABBBBAoEkCY3Lh5EF5atP35OTYeJNjJ3fJmo5lsvHwuSbVQDMI5C/AI2XzN6YFBBBAAAEEEGhbgXNyeOOXZNVPviHDB/qlm59z2/aTUKaO80jZMu1N+oIAAggggAACCCCAQIsIcLzcIjuCMhBAAAEEEECgbAJXzlLsOC7y0nrpuW78kqerL3/SmGXSseZbsu/gt+WBrg7RX4E7vrhRdh9/R87rpVMPLBlf1vWAfPu1UblyFVUVa2z0Ndm9cc34+o4u+eLGXXL45PmyQdKfAghwUFGAnUSJCCCAAAIIIFBEgZtl5fYfyNDAUpHVgzJ8+ZhsX3lzdkde2in/fPgzsvnkZUkun5Ghz/9EvrZsvizadkru/tZxSZIP5cTWGfLk2m2y/51L1Rxj7+yTry9dL4fnPSYjlxNJkrfk2Z4j8tXeTbLvSkx2YyxFIL4ABxXxTcmIAAIIIIAAAghMTaDyNfnbzWule3anSGdFlv3hUqnIvbJ183r5XGWmiMyR7j9YIUtGj8qrw3om4py8vPNx2bXkEdn8VyukUv1GN0cW9W+Xf7/vqPz5zh8J5yumtguIbkyAg4rG/NgaAQQQQAABBBBovsD5n8rBPcel8rt3yLyrvs3Nlvk9C2R0zyE5dj59oVTzS6TF9hK46mPYXl2ntwgggAACCCCAQIsILFko8/UsxRRfoztWyQ16D8bEv09Kz/rvTzEL4Qg0LjCj8RRkQAABBBBAAAEEEGi+QEVWDx6WA/2LZOqHI82vlhbLLcBnsNz7l94hgAACCCCAQBkF5twla+7rkjeO/ExGr7rK6Rdy/Kl7pGPNronB9srYffrUegIcVLTePqEiBBBAAAEEECiNwPg9DuPd+aVcuPCrSD27WXr/cpN8+cDfyaanj1w5sDgvJ/ftkA1/I/Lk430MtBdJmjRhAhxUhDkRhQACCCCAAAIIXIPAJ2Thl78u37y0RXquWyDr/uPUVeNMXEPCiU06b1srT7/8tHzh3X+Qruv0voobpPc/58pfHPtXeXTpjRNxvEGgGQIdSZIk6Yayht1Or+c9AggggAACCCCAAAIItK9A1vECZyra9/NAzxFAAAEEEEAAAQQQiCLAQUUURpIggAACCCCAAAIIINC+AhxUtO++p+cIIIAAAggggAACCEQR4KAiCiNJEEAAAQQQQAABBBBoXwEOKtp339NzBBBAAAEEEEAAAQSiCHBQEYWRJAgggAACCCCAAAIItK8ABxXtu+/pOQIIIIAAAggggAACUQQ4qIjCSBIEEEAAAQQQQAABBNpXgIOK9t339BwBBBBAAAEEEEAAgSgCHFREYSQJAggggAACCCCAAALtK8BBRfvue3qOAAIIIIAAAggggEAUgRlZWTo6OrIWswwBBBBAAAEEEEAAAQQQqBGoOahIkqQmiAUIIIAAAggggAACCCCAQD0BLn+qJ8NyBBBAAAEEEEAAAQQQCBL4f/VtEHoxbCIpAAAAAElFTkSuQmCC"></p>
</div>
<div class="specification">
<p>An ice sample is moved to a laboratory for analysis. The temperature of the sample is –20 °C.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the missing information for this decay.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxAAAABtCAYAAAAxrYd/AAASaUlEQVR4Ae3dD2yU9R3H8c+VDlnSMiWSeIf/gk2LC41mJZjNGgtoi9tIXOu/6GhZG6eLOA2h7VR0ZpQZSocaZIimnZTEOLUXIhqlWOwSjJH0MjOM0qYSUOiRoa5CM5HRe5Zr79q73p1c7+557u65d5Om1989z+/3+75+T+7ue8/z/H4OwzAM8YMAAggggAACCCCAAAIIxCGQ79/G4XDEsSmbIIAAAggggAACCCCAQK4KBM87jCUQfoRgQa6CEDcCCCCAAAIIIIAAAghEFwg94ZAXfRNKEUAAAQQQQAABBBBAAIFIARKISBNKEEAAAQQQQAABBBBAIIYACUQMGIoRQAABBBBAAAEEEEAgUoAEItKEEgQQQAABBBBAAAEEEIghQAIRA4ZiBBBAAAEEEEAAAQQQiBQggYg0oQQBBBBAAAEEEEAAAQRiCJBAxIChGAEEEEAAAQQQQAABBCIFSCAiTShBAAEEEEAAAQQQQACBGAIkEDFgKEYAAQQQQAABBBBAAIFIARKISBNKEEAAAQQQQAABBBBAIIYACUQMGIoRQAABBBBAAAEEEEAgUoAEItKEEgQQQAABBBBAAAEEEIghQAIRA4ZiBBBAAAEEEEAAAQQQiBQggYg0oQQBBBBAAAEEEEAAAQRiCJBAxIChGAEEEEAAAQQQQAABBCIFSCAiTShBAAEEEEAAAQQQQACBGAIkEDFgKEYAAQQQQAABBBBAAIFIgfzIIkoQQAABBMwUcDgcZlYfUbdhGBFlVhVYHas/rnTGa5Ur7SCAAALpFCCBSKc+bSOAQM4KWPUhNx0f4KcOqlWx+tvNhHinxs//CCCAgN0EuITJbiNKPAgggAACCCCAAAIImChAAmEiLlUjgAACCCCAAAIIIGA3ARIIu40o8SCAAAIIIIAAAgggYKIACYSJuFSNAAIIIIAAAggggIDdBEgg7DaixIMAAggggAACCCCAgIkCJBAm4lI1AggggAACCCCAAAJ2EyCBsNuIEg8CCCCAAAIIIIAAAiYKkECYiEvVCCCAAAIIIIAAAgjYTYAEwm4jSjwIIIAAAggggAACCJgoQAJhIi5VI4AAAggggAACCCBgNwESCLuNKPEggAACCCCAAAIIIGCiAAmEibhUjQACCCCAAAIIIICA3QRIIOw2osSDAAIIIIAAAggggICJAiQQJuJSNQIIIIAAAggggAACdhMggbDbiBIPAggggAACCCCAAAImCpBAmIhL1QgggAACCCCAAAII2E2ABMJuI0o8CNhYwOfdq0eXVKnNMxIS5SkN7H1adS6HHA7/b6nq2tzyeM+GbMNDBFIpEP8xN35MBo9N8/+mMkrqQgABBGIJkEDEkqEcAQQySsDnfV/P/mGNnuoNTwx8A6/rwcoOqXG/hkYNjQ5t1ry3VmvFM/t1KqMioDN2EZjuMWcYhqz4tYsvcSCAQOYLkEBk/hjRQwRyXGD8297f3PCCRst/roowjTMa3P+Ouq+q0+8fvF7OPCnPeYNWrSyXd+e76jvlC9uafxBIXoBjLnlDakAAgWwXIIHI9hGk/wjYXuAbffzKZ7rxzS1a+8vrdHlYvCM61n9Yun6+XPnBJ2Zp/jWLdZV3UEdOhJ+tCG7BXwQSF+CYS9yOPRFAwC4CE2+5dgmIOBBAwG4Cl6m6/bnxoLxTY/tWwyeGpxYG/j+pr0+fi/EcxQgkKsAxl6gc+yGAgH0EOANhn7EkEgQQQAABBBBAAAEETBcggTCdmAYQQAABBBBAAAEEELCPAAmEfcaSSBDIQYGLdEXpZTHinqs5hVylGQOH4oQFOOYSpmNHBBCwjQAJhG2GkkAQyEWBfBXOmSvt7dOnEzMundPJo4P6zFmkKy+ZmYsoxGyqAMecqbxUjgACWSFAApEVw0QnEUAgusAsFZUvV6V3t3a8/on8y8v5vO9py5Y35Fx5kxbNzpN8h9RR5QosMjd1Ia8qNXfs08CI9dO9WrXAmN/NN9ChqrFF9qbG75BjSbM69g2M2UU3Tr7Uqlj97Zj/E8cxZ34naAEBBBBIqwAJRFr5aRwBBJIVyCu+TVu6VujzhlIVOhya4arTB4s3avfD5Zp93sq71dqwTBUP7dJxC3MIKxYVC23jexl6W9WwrEYPuY/KDILQflj1+HvjTcGTyR1zKegAVSCAAAJpFnAYhmH4v7Xxv7DzgwACCNhOwH8G4palalCL+t+uV3Ho1yYjh+Re/5BqWr9SU8872rj0YtuF7w/IfwbilpJ1Uvs+vV2/QJMEPo0M7NL6+1artX+Veg61aKn/rA0/KROw8v3VyrZSBkRFCCCQNQKhrzG8U2TNsNFRBBBIuUDBAlU/1qwmp0c79/xLp1LeQKZXmKeC4lv12OOr5PR2a0/f15neYfqHAAIIIJABAiQQGTAIdAEBBNIt4FRpiUsFod3weeVxt6nOFbxvoErNOw7Ia8Z1PqHtpu3xfJVcGiaQtp4k3vBZeT1utdWVBu55cWlJ8055vKxInrgpeyKAAAKRAiQQkSaUIIBArgj4L2HasFGt3nLdWX7l5KU9vqNy31upRTWN6pxY/bpbrauuU9m97iTulxiWp+1XWvLo3gxJRMYvYdqw/iV5K5ervGhWikb+C7nrFqnO/UWK6ounmrM67l6jskU1auz8OLCDV72ttVpUtkbu49NMIrxu1Tnul9vLaubx6LMNAgjklgAJRG6NN9EikLsC3Q0qmRE8mxD4W3i1alqlpq4/6Y7i4Ifnszq+a5NWd3yliqYu9Z8eHbtHzBgdUt9LTSrp+KOe2JXoDccXquy3D2rxS3W6+xG3xbM/edXdcLVmhM3GNEOFJTVq1Sp1bbkt/P6QLDtSfMff1BOrt8pb8Yi6+r8ZHzPjOw31daqpxK3VT7yZROKXZRh0FwEEEDBZgATCZGCqRwCBTBc4qAMffqKh4FSuvsPas90tb2WLtj9VreKCwMtknlNldY16vOkCdWzv0WCilzLNrtDjuxul1hpVPLBNBzLh8ppejz78eMjUqVzNPQrOaHDPK+rw3q727U+oujg4/9ZMOcvuGbvHQx2vaM/gGXO7Qe0IIIBAjgiQQOTIQBMmAjkvUNmu/lEj8M108O836u9u1OU7a1Sxvnf8JuqRIfUf9ErRzlg45mpZq0c6OKhjwYRj2rB5Kih7QC/3PKmSztW6zrVCze5DFnx4d6qy/VONGsHYA39P96t70yXaWfNrrd/35bSjyYwdRnSs/7Ck19RQ8sMpa37M0I+WPSWvDqv/mH+lEH4QQAABBJIVIIFIVpD9EUAgiwVmq/jm3+mxltvl3fmu+iZWsz5PSN5BHTkRuKb+nEdtRVMujQq7TCjacxfItexJ9Y41063Wmqt1bZtHabnavqBYN695RC2VQ4nPRDV2v0BonJerptOjzprLwz/M17k1cUvJeYhT//SQPjryZYy1Ls7J674/vK+uGnVqu2pcPwgpL7L4vo7UK1AjAgggkAoBEohUKFIHAghkv0AwKShwqaTUKUU9YxH89v5V1Qfvmcgv09rBYHm8f7/TUM+TqvCrOWu1qbtfH60tU36aFb0fHdGJRC7NclZrR9iZjc/VVVum2q7Pw8/47KiW05QYC3RpyXxJt6u9/9vwNif6NaQ9YWtghHYkX87q58P3G+pSre5T19D/QsoHtaP6stAdeYwAAgjkpAAJRE4OO0EjgMC4wCkN7N2mDetek4KzEOXNV9V91XJ2P60Nm/eE3OjsnyJ0p5qXuOSo6tBAIh+0xxr1acSzVXcve1L9tc/pQ8+LWntzcfgUstManhF52paEfEseOBNQ1CZPPKc0Rga0d/NTWtctVd75MxVl5bvCLBVV3aV652tat2Gb9g5Mrujh8x7QjuYqORx3qGOAeyCmdWixMQIIIBBDIN1feMXoFsUIIGAnAf/qlVb/GIYR3uTYPQ0N4WUT//1Cm3ZXB2Yhmql5lferpfYfamhcrs7GiY3GHzjr1b4viRmLRvr0/Nqt0iPd8rTcLGfSH9j/o6MHv5CzqUeHNi5V8PbhKb2WFJiFKRZBxWbtvqN4cirbyAoyuiRv3k1qbKnX2w1rVNm5ZkpfF6q2/S8hM21NeZp/EUAAAQSmJZD0W9e0WmNjBBDIWQH/B3qrfuNHdqqi6QXt6ntRa8ounNytYKHq/9atvq5Nqp245sa/bbt6ep9W/YLYH9MnK4n26IwGXn1Wb/10m15OSfIg6dy/dfj9/0YuhBet+ahllWpq362+lx9QWXDGqajbZXrhbC2o3yZPX5c21S6c7GxFk9p7urS1fmESZ3kmq+MRAggggIDkMAzD8H87GPFtHToIIIBAigSsfo2xur0UMSVUjW+gQ7eU/FXX9ryjjUsvTqgOdjJPwMpj0cq2zBOjZgQQyFSB0NcYzkBk6ijRLwQQQOC8Aj6NHBvUQQ3rwPrlgfsgXFrSvFOeTFhf4rz9z9YN/PfOPK06V3DmqVLVtbkxz9bhpN8IIDBtARKIaZOxAwIIIJApAmd14sigvFqgX7S9G7hE7JC2lfRqxd1b5Ul4rYpMiS8z++EbeF0PVnZIjfs1NGpodGiz5r21Wiue2T++lkhmdpteIYAAAikT4BKmlFFSEQIIxBIIPe0Za5tUllvdXir7noq6uKwpFYqx6jijgY5alfx5sfoOrVXZ2FQkgbJ1Reo51KKlsye/m7PyWLSyrVg6lCOAgH0FQl9jJl/l7BsvkSGAAAI5JZBXeKEu0bBODH+b9rj9bzhW/5obdGDV6+vnyzUxj+Eszb9msa4KriVibgeoHQEEEEi7AAlE2oeADiCAAAKJCnypfc2LItal8J0e1gn9RDcunJtoxSndz6rZt6yZDORbDZ8YjuFzUl+fjmfxjRi7U4wAAghkiQAJRJYMFN1EAAEEIgXmaPEd96ii2603/hn4UOs7rt6X/q6D9XepqmhW5C6UIIAAAgggkKQACUSSgOyOAAIIpE8gTwVlD+jlvjt1cu2Pxy8VmrFcO+asUe+zt2oer/DpGxpaRgABBGwsMHEFp41jJDQEEEDAxgIz5SxbqY3vrdRGG0eZOaFdpCtKL5MORuvRXM0p5G01mgxlCCBgLwG+n7LXeBINAggggICpAvkqnDNX2tunT0/5Ai2d08mjg/rMWaQrL5lpautUjgACCGSCAAlEJowCfUAAAQQQyBKBWSoqX65K727teP0TjUjyed/Tli1vyLnyJi0KmcI1SwKimwgggMC0BUggpk3GDggggAACuSyQV3ybtnSt0OcNpSp0ODTDVacPFm/U7ofLNTsKjFXT2EZpmiIEEEDAFAEWkjOFlUoRQCBUIHTxmdBysx5b3Z5ZcdihXqvHwur27DBGxIAAAgjEIxD6+soZiHjE2AYBBBBAAAEEEEAAAQTGBEggOBAQQAABBBBAAAEEEEAgbgESiLip2BABBBBAAAEEEEAAAQRIIDgGEEAAAQQQQAABBBBAIG4BEoi4qdgQAQQQQAABBBBAAAEESCA4BhBAAAEEEEAAAQQQQCBuARKIuKnYEAEEEEAAAQQQQAABBEggOAYQQAABBBBAAAEEEEAgbgESiLip2BABBBBAAAEEEEAAAQRIIDgGEEAAAQQQQAABBBBAIG4BEoi4qdgQAQQQQAABBBBAAAEESCA4BhBAAAEEEEAAAQQQQCBugfy4t2RDBBBAIAkBh8ORxN7sigACCCCAAAKZIkACkSkjQT8QsLGAYRg2jo7QEEAAAQQQyC0BLmHKrfEmWgQQQAABBBBAAAEEkhIggUiKj50RQAABBBBAAAEEEMgtARKI3BpvokUAAQQQQAABBBBAICkBEoik+NgZAQQQQAABBBBAAIHcEuAm6twab6JFAAEELBdgBi7LyWkQAQQQMFWABMJUXipHAAEEcluAGbhye/yJHgEE7CnAJUz2HFeiQgABBBBAAAEEEEDAFAESCFNYqRQBBBBAAAEEEEAAAXsKkEDYc1yJCgEEEEAAAQQQQAABUwRIIExhpVIEEEAAAQQQQAABBOwpQAJhz3ElKgQQQAABBBBAAAEETBEggTCFlUoRQAABBBBAAAEEELCnAAmEPceVqBBAAAEEEEAAAQQQMEWABMIUVipFAAEEEEAAAQQQQMCeAiQQ9hxXokIAAQQQQAABBBBAwBQBEghTWKkUAQQQQAABBBBAAAF7CpBA2HNciQoBBBBAAAEEEEAAAVMESCBMYaVSBBBAAAEEEEAAAQTsKUACYc9xJSoEEEAAAQQQQAABBEwRyA/W6nA4gg/5iwACCCCAAAIIIIAAAghEFRhLIAzDiPokhQgggAACCCCAAAIIIIBAqMD/AZms2klHLgpbAAAAAElFTkSuQmCC"></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>Beryllium-10 is used to investigate ice samples from Antarctica. A sample of ice initially contains 7.6 × 10<sup>11</sup> atoms of beryllium-10. The present activity of the sample is 8.0 × 10<sup>−3</sup> Bq.</p>
<p>Determine, in years, the age of the sample.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The temperature in the laboratory is higher than the temperature of the ice sample. Describe <strong>one </strong>other energy transfer that occurs between the ice sample and the laboratory.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iv.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(_{{\mkern 1mu} {\mkern 1mu} 4}^{10}{\text{Be}} \to _{{\mkern 1mu} {\mkern 1mu} 5}^{10}{\text{B}} + _{ - 1}^{\,\,\,0}{\text{e}} + {\overline {\text{V}} _{\text{e}}}\)</p>
<p>antineutrino <em><strong>AND</strong> </em>charge <em><strong>AND</strong> </em>mass number of electron \(_{ - 1}^{\,\,\,0}{\text{e}}\), \(\overline {\text{V}} \)</p>
<p>conservation of mass number <strong><em>AND </em></strong>charge \(_{\,\,5}^{10}{\text{B}}\), \(_{{\mkern 1mu} {\mkern 1mu} 4}^{10}{\text{Be}}\)</p>
<p> </p>
<p><em>Do not accept V.</em></p>
<p><em>Accept </em>\({\bar V}\)<em> without subscript e.</em></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>λ</em> <strong>«</strong><span class="Apple-converted-space">= \(\frac{{\ln 2}}{{1.4 \times {{10}^6}}}\)</span><strong>»</strong> = 4.95 × 10<sup>–7</sup> <strong>«</strong><span class="Apple-converted-space">y<sup>–1</sup></span><strong>»</strong></p>
<p>rearranging of <em>A</em> = <em>λN</em><sub>0</sub>e<sup>–<em>λt</em></sup> to give –<em>λt</em> = ln \(\frac{{8.0 \times {{10}^{-3}} \times 365 \times 24 \times 60 \times 60}}{{4.95 \times {{10}^{-7}} \times 7.6 \times {{10}^{11}}}}\) <strong>«</strong><span class="Apple-converted-space">= –0.400</span><strong>»</strong></p>
<p><em>t</em> = \(\frac{{ - 0.400}}{{ - 4.95 \times {{10}^{ - 7}}}} = 8.1 \times {10^5}\) <strong>«</strong><span class="Apple-converted-space">y</span><strong>»</strong></p>
<p> </p>
<p> </p>
<p><em>Allow ECF from MP1</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>from the laboratory to the sample</p>
<p>conduction – contact between ice and lab surface.</p>
<p><strong><em>OR</em></strong></p>
<p>convection – movement of air currents</p>
<p> </p>
<p><em>Must clearly see direction of energy transfer for MP1.</em></p>
<p><em>Must see more than just words “conduction” or “convection” for MP2.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.iv.</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.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iv.</div>
</div>
<br><hr><br><div class="specification">
<p>A buoy, floating in a vertical tube, generates energy from the movement of water waves on the surface of the sea. When the buoy moves up, a cable turns a generator on the sea bed producing power. When the buoy moves down, the cable is wound in by a mechanism in the generator and no power is produced.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>The motion of the buoy can be assumed to be simple harmonic.</p>
</div>
<div class="specification">
<p>Water can be used in other ways to generate energy.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline the conditions necessary for simple harmonic motion (SHM) to occur.</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 wave of amplitude 4.3 m and wavelength 35 m, moves with a speed of 3.4 m s<sup>–1</sup>. Calculate the maximum vertical speed of the buoy.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch a graph to show the variation with time of the generator output power. Label the time axis with a suitable scale.</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>Outline, with reference to energy changes, the operation of a pumped storage hydroelectric system.</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>The water in a particular pumped storage hydroelectric system falls a vertical distance of 270 m to the turbines. Calculate the speed at which water arrives at the turbines. Assume that there is no energy loss in the system.</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>The hydroelectric system has four 250 MW generators. Determine the maximum time for which the hydroelectric system can maintain full output when a mass of 1.5 x 10<sup>10</sup> kg of water passes through the turbines.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Not all the stored energy can be retrieved because of energy losses in the system. Explain <strong>two</strong> such losses.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iv.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>force/acceleration proportional to displacement «from equilibrium position»</p>
<p>and directed towards equilibrium position/point<br><em><strong>OR</strong></em><br>and directed in opposite direction to the displacement from equilibrium position/point</p>
<p> </p>
<p><em>Do not award marks for stating the defining equation for SHM.</em><br><em>Award <strong>[1 max]</strong> for a ω–=<sup>2</sup>x with a and x defined.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>frequency of buoy movement \( = \frac{{3.4}}{{35}}\) <em><strong>or</strong></em> 0.097 «Hz»</p>
<p><em><strong>OR</strong></em></p>
<p>time period of buoy \( = \frac{{35}}{{3.4}}\) <em><strong>or</strong></em> 10.3 «s» <em><strong>or</strong></em> 10 «s»</p>
<p><em>v</em> = «\(\frac{{2\pi {x_0}}}{T}\) <em><strong>or </strong></em>\(2\pi f{x_0}\)» \(\ = \frac{{2 \times \pi \times 4.3}}{{10.3}}\) <em><strong>or</strong></em> \(2 \times \pi \times 0.097 \times 4.3\)</p>
<p>2.6 «m s<sup>–1</sup>»</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>peaks separated by gaps equal to width of each pulse «shape of peak roughly as shown»</p>
<p>one cycle taking 10 s shown on graph</p>
<p><img src="data:image/png;base64,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"></p>
<p><em>Judge by eye.</em><br><em>Do not accept cos<sub>2</sub> or sin<sub>2</sub> graph</em><br><em>At least two peaks needed.</em><br><em>Do not allow square waves or asymmetrical shapes.</em><br><em>Allow ECF from (b)(i) value of period if calculated.</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>PE of water is converted to KE of moving water/turbine to electrical energy «in generator/turbine/dynamo»</p>
<p>idea of pumped storage, <em>ie:</em> pump water back during night/when energy cheap to buy/when energy not in demand/when there is a surplus of energy</p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>specific energy available = «<em>gh</em> =» 9.81 x 270 «= 2650J kg<sup>–1</sup>»</p>
<p><em><strong>OR</strong></em></p>
<p><em>mgh</em> \( = \frac{1}{2}\)<em>mv</em><sup>2</sup></p>
<p><em><strong>OR</strong></em></p>
<p><em>v</em><sup>2</sup> = 2gh</p>
<p><em>v</em> = 73 «ms<sup>–1</sup>»</p>
<p> </p>
<p><em>Do not allow 72 as round from 72.8</em></p>
<p> </p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>total energy = «<em>mgh</em> = 1.5 x 10<sup>10</sup> x 9.81 x 270=» 4.0 x 10<sup>13</sup> «J»</p>
<p><em><strong>OR</strong></em></p>
<p>total energy = «\(\frac{1}{2}m{v^2} = \frac{1}{2} \times 1.5 \times {10^{10}} \times \) (answer (c)(ii))<sup>2</sup> =» 4.0 x 10<sup>13</sup> «J»</p>
<p>time = «\(\frac{{4.0 \times {{10}^{13}}}}{{4 \times 2.5 \times {{10}^8}}}\)» 11.1h <em><strong>or</strong> </em>4.0 x 10<sup>4</sup> s</p>
<p> </p>
<p><em>Use of 3.97 x 10<sup>13</sup> «J» gives 11 h.</em></p>
<p><em>For MP2 the unit <strong>must</strong> be present.</em></p>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>friction/resistive losses in pipe/fluid resistance/turbulence/turbine or generator «bearings»<br><em><strong>OR</strong></em><br>sound energy losses from turbine/water in pipe </p>
<p>thermal energy/heat losses in wires/components<br><br>water requires kinetic energy to leave system so not all can be transferred</p>
<p> </p>
<p><em>Must see “seat of friction” to award the mark.</em></p>
<p><em>Do not allow “friction” bald.</em></p>
<div class="question_part_label">c.iv.</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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</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">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iv.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about solar radiation and the greenhouse effect. <strong>Part 2 </strong>is about orbital motion.</p>
<p><strong>Part 1</strong> Solar radiation and the greenhouse effect</p>
<p>The following data are available.</p>
<p><img src="data:image/png;base64,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" alt></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 src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the Stefan-Boltzmann law for a black body.</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>Deduce that the solar power incident per unit area at distance <em>d</em> from the Sun is given by</p>
<p>\(\frac{{\sigma {R^2}{T^4}}}{{{d^2}}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, using the data given, the solar power incident per unit area at distance <em>d</em> from the Sun.</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>State <strong>two</strong> reasons why the solar power incident per unit area at a point on the surface of the Earth is likely to be different from your answer in (c).</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 average power absorbed per unit area at the Earth’s surface is 240Wm<sup>–2</sup>. By treating the Earth’s surface as a black body, show that the average surface temperature of the Earth is approximately 250K.</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 why the actual surface temperature of the Earth is greater than the value in (e).</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>(i) Identify the force that causes the centripetal acceleration of the spaceship.</p>
<p>(ii) Explain why astronauts inside the spaceship would feel “weightless”, even though there is a force acting on them.</p>
<div class="marks">[4]</div>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce that the speed of the spaceship is \(v = \sqrt {\frac{{GM}}{r}} \).</p>
<div class="marks">[2]</div>
<div class="question_part_label">i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The table gives equations for the forms of energy of the orbiting spaceship.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The spaceship passes through a cloud of gas, so that a small frictional force acts on the spaceship.</p>
<p>(i) State and explain the effect that this force has on the total energy of the spaceship.</p>
<p>(ii) Outline the effect that this force has on the speed of the spaceship.</p>
<div class="marks">[4]</div>
<div class="question_part_label">j.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>power/energy per second emitted is proportional to surface area;<br>and proportional to fourth power of absolute temperature / temperature in K;<br><em>Accept equation with symbols defined.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>solar power given by \(4\pi {R^2}\sigma {T^4}\);<br>spreads out over sphere of surface area \(4\pi {d^2}\);<br><em>Hence equation given.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left( {\frac{{\sigma {R^2}{T^4}}}{{{d^2}}} = } \right)\frac{{5.7 \times {{10}^{ - 8}} \times {{\left[ {7.0 \times {{10}^8}} \right]}^2} \times {{\left[ {5.8 \times {{10}^3}} \right]}^4}}}{{{{\left[ {1.5 \times {{10}^{11}}} \right]}^2}}}\);</p>
<p>=1.4×10<sup>3</sup>(Wm<sup>-2</sup>);</p>
<p><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>some energy reflected;<br>some energy absorbed/scattered by atmosphere;<br>depends on latitude;<br>depends on time of day;<br>depends on time of year;<br>depends on weather (<em>eg</em> cloud cover) at location;<br>power output of Sun varies;<br>Earth-Sun distance varies;</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>power radiated=power absorbed;<br>\(T = {}^4\sqrt {\frac{{240}}{{5.7 \times {{10}^{ - 8}}}}} \left( { = 250{\rm{K}}} \right)\);</p>
<p><em>Accept answers given as 260 (K).</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>radiation from Sun is re-emitted from Earth at longer wavelengths;<br>greenhouse gases in the atmosphere absorb some of this energy;<br>and radiate some of it back to the surface of the Earth;</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) gravitational force / gravitational attraction / weight; <em>(do not accept gravity)</em></p>
<p>(ii) astronauts and spaceship have the same acceleration;<br>acceleration is towards (centre of) planet;<br>so no reaction force between astronauts and spaceship;</p>
<p><em><strong>or</strong></em></p>
<p>astronauts and spaceships are both falling towards the (centre of the) planet;<br>at the same rate;<br>so no reaction force between astronauts and spaceship;</p>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>gravitational force equated with centripetal force / \(\frac{{GmM}}{{{r^2}}} = \frac{{m{v^2}}}{r}\);</p>
<p>\( \Rightarrow {v^2} = \frac{{GM}}{r} \Rightarrow \left( {v = \sqrt {\frac{{GM}}{r}} } \right)\);</p>
<div class="question_part_label">i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) thermal energy is lost;<br>total energy decreases;</p>
<p>(ii) since <em>E</em> decreases, <em>r</em> also decreases;<br>as <em>r</em> decreases <em>v</em> increases / <em>E</em><sub>k</sub> increases so <em>v</em> increases;</p>
<div class="question_part_label">j.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">The Stefan-Boltzmann law was poorly understood with few candidates stating that the absolute temperature is raised to the fourth power. </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This question was poorly done with few candidates substituting the surface area of the sun or the </span><span style="font-size: 10.000000pt; font-family: 'Arial';">surface area of a sphere at the Earth’s radius of orbit. </span></p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Despite not being able to state or manipulate the Stefan-Boltzmann law most candidates could substitute values into the expression and calculate a result. </span></p>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This question was well answered at higher level. </span></p>
</div>
</div>
</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">To show the given value there is the requirement for an explanation of why the incident power </span><span style="font-size: 10.000000pt; font-family: 'Arial';">absorbed by the Earth’s surface is equal to the power radiated by the Earth, few candidates were </span><span style="font-size: 10.000000pt; font-family: 'Arial';">successful in this aspect. Although most could substitute into the Stefan-Boltzmann equation they needed to either show that the fourth root was used or to find the temperature to more significant figures than the value given. </span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">A surprising number of candidates could not explain the greenhouse effect. A common misunderstanding was that the Earth reflected radiation into the atmosphere and that the atmosphere reflected the radiation back to the Earth. </span></p>
</div>
</div>
</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">(i) Most were able to state gravitational force, however a significant number stated gravity and consequently did not get the mark. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">(ii) Many answers only discussed the astronauts and not the spaceship, missing points such as </span><span style="font-size: 10.000000pt; font-family: 'Arial';">‘falling at the same rate’ or ‘with the same acceleration’. </span></p>
</div>
</div>
</div>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This was well answered with candidates able to adequately show in their explanation where the expression comes from. </span></p>
</div>
</div>
</div>
<div class="question_part_label">i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 20">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ji) Most appreciated that the effect of the force would be to decrease the total energy. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">jii) Very few appreciated that they should use the equations above to answer this part of the question. As a consequence, the most common answer discussed a decrease in kinetic energy and a decrease in speed. </span></p>
</div>
</div>
</div>
<div class="question_part_label">j.</div>
</div>
<br><hr><br>