Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

The only force acting on a particle is conservative force $\vec{F}$ . If the particle is at point A, the potential energy of the system associated with $\vec{F}$ and the particle is 40 J. If the particle moves from point A to point B, the work done on the particle $\vec{F}$ by is +25 J . What is the potential energy of the system with the particle at B?

The potential energy of the particle at B is 15 J.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given data:

Work done, W = 25 J

Potential energy at point A, $U_{A} = 40 J$

Step 2: To understand the concept:

When conservative force works on an object, the change in potential energy is negative of work done.

Formula:

The work done is equal to the change in potential energy.

Workdone = - Change in PE

Step 3: Calculate the potential energy of the system with the particle at B:

As work done is as same as the change in potential energy. Therefore,

$W o r k d o n e = - C h a n g e i n P E W = - (U_{B} - U_{A}) 25 J = - (U_{B} - 40 J) 25 J = - U_{B} + 40 J U_{B} - (40 - 25) J = 15 J$

Hence, the potential energy of the system with the particle at B is 15 J .

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