Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 7 - Newton's Third Law - Exercises and Problems: 17

Answer

The tension at the midpoint of the rope is 9.8 N

Work Step by Step

Let $T$ be the tension at the midpoint of the rope. Note that this tension holds up the bottom half of the rope. Therefore, this tension is equal in magnitude to the weight of the bottom half of the rope. $T = \frac{mg}{2}$ $T = \frac{(2.0~kg)(9.80~m/s^2)}{2}$ $T = 9.8~N$ The tension at the midpoint of the rope is 9.8 N.
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