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: 4

Answer

a) is correct.

Work Step by Step

Let's call the holding force from our hand $F$. Because $F$ opposes the suitcase's weight from making it fall down, $\vec{F}$ points upward. The work done by $F$ is $$W=(F\cos\theta)s$$ When the elevator rides up, $\vec{s}$ points upward as $\vec{F}$, so $\cos\theta=\cos0=1$, meaning $W_u\gt0$ When the elevator rides down, $\vec{s}$ points downward opposed to $\vec{F}$, so $\cos\theta=\cos180=-1$, meaning $W_d\lt0$ Therefore, a) is correct.
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