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 9 - Impulse and Momentum - Exercises and Problems: 20

Answer

The recoil speed of the archer is 0.20 m/s

Work Step by Step

Since the initial momentum of the system (archer and arrow) is zero, the magnitude of the archer's final momentum $p_a$ should be equal to the magnitude of the arrow's final momentum $p_w$. We can equate the magnitudes of the momenta to find the recoil speed $v$ of the archer. $p_a = p_w$ $(50~kg)~v = (0.10~kg)(100~m/s)$ $v = 0.20~m/s$ The recoil speed of the archer is 0.20 m/s.
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