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117 lines
4.2 KiB
HTML
117 lines
4.2 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Advanced.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/physics/momentum-animation.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:50:01 GMT -->
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<head>
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Momentum Animation</title>
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<meta name="description" content="Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents.">
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<link rel="preload" href="../style4.css" as="style">
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<link rel="preload" href="../main4.js" as="script">
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</script>
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</head>
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="../index.html"><img src="../images/style/logo-adv.svg" alt="Math is Fun Advanced"></a></div>
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</nav>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Momentum Animation</h1>
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<p class="center"><i>Click, drag, release!</i></p>
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<div class="script" style="height: 205px;">
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images/momentum.js
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</div>
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<p> </p>
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<p> </p>
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<p>Collisions can be on a scale of 0 (Inelastic) to 1 (Elastic).</p>
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<p class="center"><img src="images/inelastic-elastic.svg" alt="inelastic dough vs elastic bouncy ball" height="112" width="327"></p>
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<ul class="larger">
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<li><b>Inelastic</b> collisions are mushy (like dough balls)</li>
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<li><b>Elastic</b> collisions are bouncy (like rubber balls)</li>
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</ul>
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<p>In the <a href="../numbers/gravity-freeplay.html">Gravity Animation</a>, the collisions are either inelastic (two objects smashing into each other) or elastic (the objects swing around each other and head off again).</p>
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<h2>Formula</h2>
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<p>The formulas used in this animation are:</p>
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<p class="center large"><b>new v<sub>a</sub></b> = <span class="intbl">
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<em>elast × m<sub>b</sub>(v<sub>b</sub> − v<sub>a</sub>) + m<sub>a</sub>v<sub>a</sub> + m<sub>b</sub>v<sub>b</sub></em>
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<strong>m<sub>a</sub> + m<sub>b</sub></strong></span></p>
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<p class="center large"><b>new v<sub>b</sub></b> = <span class="intbl">
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<em>elast × m<sub>a</sub>(v<sub>a</sub> − v<sub>b</sub>) + m<sub>a</sub>v<sub>a</sub> + m<sub>b</sub>v<sub>b</sub></em>
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<strong>m<sub>a</sub> + m<sub>b</sub></strong></span></p>
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<p>Where:</p>
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<ul>
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<li>elast = "Coefficient of Restitution", 0=inelastic, 1=elastic</li>
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<li>v<sub>a</sub> and m<sub>a</sub> are the velocity and mass of object a</li>
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<li>v<sub>b</sub> and m<sub>b</sub> are the velocity and mass of object b</li>
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</ul>
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<p> </p>
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<div class="related">
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<a href="momentum.html">Momentum</a>
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<a href="gravity-ball.html">Ball Physics Animation</a>
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<a href="index.html">Physics Index</a>
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</div>
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</article>
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<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
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