Added Luis's English solution of 7.1.3

Luisito правка от 28 июн. 2024 г., 17:02

правка #1733 GitHub d93692e позже →

en/7.1.3.md +82 −0

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		+	<html lang="en">
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		+	});
		+	</script>
		+	</head>
		+	<body style="">
		+	<header style="text-align:center;">
		+	<h2>Solutions of Savchenko Physics Textbook</h2>
		+	<p class="author">
		+	Aliaksandr Melnichenka <br/>
		+	October 2023
		+	</p>
		+	</header>
		+
		+	<h3 id="back-link"><a href="../">$\leftarrow$Back</a></h3>
		+
		+	<h3> Statement </h3>
		+
		+	<p>
		+	$7.1.3$
		+	A particle with a charge $q$ and a mass $m$ passes through a region of a uniform electric field of length $d$ in time $t$. The velocity $v$ of a particle entering the field is directed along the field. Determine the electric field intensity.
		+	</p>
		+
		+	<h3>Solution</h3>
		+	<p>
		+	The motion of particle is accelerated by electric field, so
		+	$$d = vt-\frac{at^2}{2} \;(1)$$
		+	Applying Newton Second Law
		+	$$F = qE = ma$$
		+	then,
		+	$$a = \frac{qE}{m} \;(2)$$
		+	Putting $(2)$ into $(1)$
		+	$$\boxed{E = 2m\frac{d-vt}{qt^2}}$$
		+	</p>
		+	<p style="text-align: right; font-style: italic; font-size: 14;">
		+	BSc. Luis Daniel Fernández Quintana<br>
		+	Physics Department (FCNE)<br>
		+	Universidad de Oriente, Cuba<br>
		+	</p>
		+
		+
		+
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		+	<br>
		+	<p>
		+	<small> © <strong>Savchenko Solutions</strong>, 2023-2024 <br></small>
		+	</p>
		+	<p>
		+	<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small>
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	@@ -0,0 +1,82 @@
			<!DOCTYPE html>
			<html lang="en">

			<head>
			<meta charset="utf-8">
			<meta name="viewport" content="width=device-width, initial-scale=1.0">
			<meta http-equiv="content-language" content="en">
			<meta name="keywords" content="solutions, savchenko, physics problems, olympiad physics, physics book">
			<meta name="description" content="A website with solutions to physics problems from Savchenko Textbook">
			<meta property="og:title" content="Savchenko Solutions">
			<meta property="og:image" content="img/logo.png">
			<meta property="og:description" content="A website with solutions to physics problems from Savchenko Textbook">
			<meta name="yandex-verification" content="6cfda41f74038368">
			<title>Savchenko Solutions</title>
			<link rel="stylesheet" href="https://savchenko-physics.github.io/css/css-latex/style.css">
			<link rel="icon" href="https://savchenko-physics.github.io/img/logo.png" type="image/png">
			<script src="https://savchenko-physics.github.io/js/jquery-1.10.1.min.js"></script>
			<script async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML"></script>
			<script type="text/x-mathjax-config">
			MathJax.Hub.Config({
			extensions: ['tex2jax.js'],
			jax: ['input/TeX', 'output/HTML-CSS'],
			tex2jax: {
			inlineMath: [['$', '$'], ['$', '$']],
			processEscapes: true,
			processClass: 'tex2jax',
			ignoreClass: 'html'
			},
			showProcessingMessages: false,
			messageStyle: 'none'
			});
			</script>
			</head>
			<body style="">
			<header style="text-align:center;">
			<h2>Solutions of Savchenko Physics Textbook</h2>
			<p class="author">
			Aliaksandr Melnichenka <br/>
			October 2023
			</p>
			</header>

			<h3 id="back-link"><a href="../">$\leftarrow$Back</a></h3>

			<h3> Statement </h3>

			<p>
			$7.1.3$
			A particle with a charge $q$ and a mass $m$ passes through a region of a uniform electric field of length $d$ in time $t$. The velocity $v$ of a particle entering the field is directed along the field. Determine the electric field intensity.
			</p>

			<h3>Solution</h3>
			<p>
			The motion of particle is accelerated by electric field, so
			$$d = vt-\frac{at^2}{2} \;(1)$$
			Applying Newton Second Law
			$$F = qE = ma$$
			then,
			$$a = \frac{qE}{m} \;(2)$$
			Putting $(2)$ into $(1)$
			$$\boxed{E = 2m\frac{d-vt}{qt^2}}$$
			</p>
			<p style="text-align: right; font-style: italic; font-size: 14;">
			BSc. Luis Daniel Fernández Quintana<br>
			Physics Department (FCNE)<br>
			Universidad de Oriente, Cuba<br>
			</p>



			<footer class="row container">
			<br>
			<p>
			<small> © <strong>Savchenko Solutions</strong>, 2023-2024 <br></small>
			</p>
			<p>
			<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small>
			</p>
			</footer>
			</body>

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