## College Physics (4th Edition)

Published by McGraw-Hill Education

# Chapter 7 - Problems - Page 268: 88

#### Answer

The ball exerts an average force of $5054~N$ on the inexperienced catcher's gloved hand. The ball exerts an average force of $505.4~N$ on the experienced catcher's gloved hand.

#### Work Step by Step

We can convert the ball's speed from units of km/h to units of m/s: $130~km/h \times \frac{1000~m}{1~km} \times \frac{1~hr}{3600~s} = 36.1~m/s$ The impulse exerted by the glove is equal to the ball's change in momentum. We can find the average force that an inexperienced catcher's gloved hand exerts on the ball: $F~t = mv$ $F = \frac{mv}{t}$ $F = \frac{(0.140~kg)(36.1~m/s)}{0.0010~s}$ $F = 5054~N$ During the catch, the inexperienced catcher's gloved hand exerts an average force of $5054~N$ on the ball. By Newton's third law, the ball exerts an average force of $5054~N$ on the inexperienced catcher's gloved hand. We can find the average force that an experienced catcher's gloved hand exerts on the ball: $F~t = mv$ $F = \frac{mv}{t}$ $F = \frac{(0.140~kg)(36.1~m/s)}{0.010~s}$ $F = 505.4~N$ During the catch, the experienced catcher's gloved hand exerts an average force of $505.4~N$ on the ball. By Newton's third law, the ball exerts an average force of $505.4~N$ on the experienced catcher's gloved hand.

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