Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

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Short Answer

Derive an expression for the work required to move an Earth satellite of mass m from a circular orbit of radius to one of radius

The derivation will be $Δ E = \frac{G M_{E} m}{12 R_{E}}$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given

$Mass of the satellite = m circular orbit radius from {2R}_{E} to 3 R_{E}$

Step 2: Concept

Earth is a planet that revolves around the sun, and the moon is the natural satellite of Earth. Apart from this, the artificial satellite of the earth can be set in orbit around the earth.

For placing any kind of satellite in the earth’s orbit, the earth satellite energy requirement is as follows:

$E = - \frac{G M_{E}}{2 r}$

Step 3: Derive an expression

When the circular orbit radius changes from the radius $r = 2 R_{E} t o r = 3 R_{E}$ required to work, W will be required to follow.

$W = Δ E Δ E = \frac{G M_{E} m}{2 r_{f}} + \frac{G M_{E} m}{2 r_{i}} Δ E = G M_{E} m [\frac{1}{4 R_{E}} - \frac{1}{6 R_{E}}] Δ E = \frac{G M_{E} m}{12 R_{E}}$

Here,

$W = workdone Δ E = Energy M_{E} = mass of the earth G = gravitational constant r_{f} = final radius r_{i} = initial radius m = mass of the satellite$

Hence, the derivation will be $Δ E = \frac{G M_{E} m}{12 R_{E}}$ .

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Physics For Scientists & Engineers

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Short Answer

Derive an expression for the work required to move an Earth satellite of mass m from a circular orbit of radius to one of radius

Step by Step Solution

Step 1: Given

Step 2: Concept

Step 3: Derive an expression

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Physics For Scientists & Engineers

Answers without the blur.

Short Answer

Derive an expression for the work required to move an Earth satellite of mass m from a circular orbit of radius to one of radius

Step by Step Solution

Step 1: Given

Step 2: Concept

Step 3: Derive an expression

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