College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 7 - Problems - Page 268: 87

Answer

The water exerts a force of $408~N$ on a person in the crowd.

Work Step by Step

A person's chest exerts an impulse on the water which is equal in magnitude to the water's change in momentum. Each second, the person's chest exerts a force which stops 24 kg of water moving at a rate of 17 m/s. We can find the average force that the person's chest exerts on the water: $F~t = mv$ $F = \frac{mv}{t}$ $F = \frac{(24~kg)(17~m/s)}{1.0~s}$ $F = 408~N$ Since a person exerts this force on the water, by Newton's third law, the water exerts a force of $408~N$ on a person in the crowd.
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