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: 16

Answer

The tension in the cable car's cable is 9800 N.

Work Step by Step

Let $T_c$ be the tension in the cable car's cable. Let $T_b$ be the tension in the cable attached to the 2000-kg block. Then $T_b$ is equal to the weight of the 2000-kg block. From the diagram, we can see that the horizontal forces exerted on the cart are in equilibrium. We can use this fact to find the tension in the cable car's cable. Therefore; $2~T_c = T_b$ $2~T_c = (2000~kg)(9.80~m/s^2)$ $T_c = \frac{(2000~kg)(9.80~m/s^2)}{2}$ $T_c = 9800~N$ The tension in the cable car's cable is 9800 N.
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