Physics (10th Edition)

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

Chapter 4 - Forces and Newton's Laws of Motion - Problems - Page 116: 58

Answer

The tension in the cable is $929.3N$.

Work Step by Step

The tension in the cable $T$ is the force that pulls the stuntman and is directed in the direction of motion of the truck. Opposing this force is the kinetic frictional force $f_k$. The free-body diagram is drawn below. Since the stuntman is pulled at a constant velocity, these two forces cancel each other out. In other words, $$T=f_k=\mu_k F_N$$ The normal force $F_N$ can be calculated to be equal with $mg$, as the normal force and the weight cancel each other too. $$T=\mu_kmg=0.87\times109\times9.8=929.3N$$
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