Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 6 - Work and Energy - Problems - Page 170: 74

Answer

a) $W=3J$ b) $W=0J$ c) $W=-9J$

Work Step by Step

The work done in each case is the area of the red shape as portrayed in the force-displacement graph. a) The work done by the force from $s=0$ to $1m$: $$W=\frac{1}{2}\times6N\times1m=3J$$ b) The work done by the force from $s=1$ to $2m$ is $0$ because the area beneath the line in the graph is $0$. c) The work done by the force from $s=2$ to $4m$: $$W=\frac{1}{2}\times(1m+2m)\times(-6N)=-9J$$
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