College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Review & Synthesis: Chapters 1-5 - Review Exercises - Page 193: 27

Answer

We need to pull down on the rope with a minimum force of $480~N$

Work Step by Step

Let $T$ be the tension in the rope. From the diagram of the lower pulley, we can see that at constant velocity, $2T = mg$, where $mg$ is the weight of the box. Then: $~T = \frac{mg}{2}$ To keep the box moving with a constant velocity, we need to pull on the rope with a minimum force of $T$: $T = \frac{mg}{2}$ $T = \frac{(98.0~kg)(9.80~m/s^2)}{2}$ $T = 480~N$ We need to pull down on the rope with a minimum force of $480~N$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.