Physics (10th Edition)

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

Chapter 6 - Work and Energy - Focus On Concepts - Page 164: 1

Answer

e) is correct.

Work Step by Step

The work done by force $\vec{F}$ on the box can be calculated by $$W=(F\cos\theta)s$$ In case A, the angle $\vec{F}$ makes with $\vec{v}$ is $\theta$ $(0\lt\theta\lt90^o)$, so $W_A=(F\cos\theta)s$ In case B, the angle $\vec{F}$ makes with $\vec{v}$ is $0$, so $W_B=(F\cos0)s=Fs$ In case C, the angle $\vec{F}$ makes with $\vec{v}$ is $90^o$, so $W_C=(F\cos90)s=0$ Obviously, $W_C$ is the smallest. Since $F\cos\theta\lt F\cos0$, $W_A\lt W_B$ To rank the work done in ascending order: C, A, B.
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