Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

Find the (a) $x$ , (b) $y$ , and (c) $z$ components of the sum of the displacements and whose components in meters are $c_{x} = 7.4, c_{y} = ‐ 3.8, c_{z} = ‐ 6.1; d_{x} = 4.4, d_{y} = ‐ 2.0, d_{z} = 3.3$

a) x component of is $c + d is 12 m$

b) y component of is $c + d is ‐ 5.8 m$

c) z component of is $c + d is ‐ 2.8 m$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: To calculate x component in meters

c and d are the displacement vectors. The sum of these vectors gives a resultant. Here the components of the resultant are to be found.

Given are the x, y z, components of the displacements c and d respectively.

$c_{x} = 7.4, c_{y} = - 3.8, c_{z} = - 6.1, d_{x} = 4.4, d_{y} = - 2.0, d_{y} = 3.3,$

The resultant of sum of displacements is given by

$R = c + d R_{x} = c_{x} + d_{x} (i) R_{y} = c_{y} + d_{y} (ii) R_{z} = c_{z} + d_{z} (iii)$

Substituting the above components in equation (i), the x component of R can be written as

$R_{x} = 7.4 + 4.4 R_{x} = 12 m$

Step 2: To calculate y component in meters

$R_{y} = - 3.8 - 2.0 R_{y} = - 5.8 m$

Step 3: To calculate z component in meters

$R_{z} = - 6.1 + 3.3 R_{z} = - 2.8 m$

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Fundamentals Of Physics

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Short Answer

Find the (a) $x$ , (b) $y$ , and (c) $z$ components of the sum of the displacements and whose components in meters are $c_{x} = 7.4, c_{y} = ‐ 3.8, c_{z} = ‐ 6.1; d_{x} = 4.4, d_{y} = ‐ 2.0, d_{z} = 3.3$

Step by Step Solution

Step 1: To calculate x component in meters

Step 2: To calculate y component in meters

Step 3: To calculate z component in meters

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Fundamentals Of Physics

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Find the (a)x, (b)y, and (c) zcomponents of the sum of the displacements and whose components in meters are cx=7.4, cy=‐3.8, cz=‐6.1; dx=4.4 , dy=‐2.0, dz=3.3

Step by Step Solution

Step 1: To calculate x component in meters

Step 2: To calculate y component in meters

Step 3: To calculate z component in meters

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