Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 5 - Circular Motion; Gravitation - Problems - Page 133: 18

Answer

The maximum speed that Tarzan could tolerate is 4.8 m/s.

Work Step by Step

At the bottom part of the swing, the maximum possible net force which could keep Tarzan moving in circular motion is: $1150 ~N - (78 ~kg)(9.8 ~m/s^2) = 386 ~N$ With this maximum possible net force, we can find the maximum speed $v$. $m\frac{v^2}{r} = 386 ~N$ $v = \sqrt{\frac{(386 ~N)(4.7 ~m)}{(78 ~kg)}}$ $v = 4.8 ~m/s$ Therefore, the maximum speed that Tarzan could tolerate is 4.8 m/s.
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