Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 9 - Work and Kinetic Energy - Exercises and Problems: 23

Answer

The work done on the particle as it move from x = 0 to x = d is $\frac{qd^3}{3}$

Work Step by Step

$W = \int_{0}^{d}~F_x~dx$ $W = \int_{0}^{d}~qx^2~dx$ $W = \frac{qx^3}{3}~\Big\vert_{0}^{d}$ $W = \frac{qd^3}{3}$ Therefore, the work done on the particle as it move from x = 0 to x = d is $\frac{qd^3}{3}$.
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