Physics (10th Edition)

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

Chapter 6 - Work and Energy - Check Your Understanding - Page 145: 1

Answer

b) is correct.

Work Step by Step

The work done by a force $F$ on the box is $$W=(F\cos\theta)s$$ As we can see here, $F_1$ acts directly on the box's rightward motion, so $\cos\theta=\cos0=1$, therefore, $W_1=F_1s$, while for $F_2$, $W_2=(F_2\cos\theta)s$ It can also be easily seen that $F_1\gt F_2\cos\theta$, because the vector is longer. Therefore, $W_1\gt W_2$, and b) is correct.
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