   Chapter 6, Problem 20P

Chapter
Section
Textbook Problem

A pitcher throws a 0.14-kg baseball toward the batter so that it crosses home plate horizontally and has a speed of 42 m/s just before it makes contact with the hat. The batter then hits the ball straight back at the pitcher with a speed of 48 m/s. Assume the ball travels along the same line leaving the bat as it followed before contacting the bat. (a) What is the magnitude of the impulse delivered by the bat to the baseball? (b) If the ball is in contact with the bat for 0.005 0 s, what is the magnitude of the average force exerted by the bat on the ball? (c) How does your answer to part (b) compare to the weight of the ball?

(a)

To determine
Magnitude of the impulse delivered by bat

Explanation

Given Info: Mass of the ball is m=0.14kg , the ball towards the pitcher is in ‘positive direction’, the velocity of the ball just before contact with the bat is vi=42m/s and the velocity just as it leaves the bat is vf=+48m/s

The expression for impulse is

I=Δp

Rewrite the above expression in terms of mass and velocity

I=m(vfvi)

• I is the impulse delivered by the bat
• m is the mass of the ball
• vf is the final velocity
• vi is the Initial velocity

Substitute 0

(b)

To determine
The magnitude of the average force exerted by the bat

(c)

To determine
To compare the weight of the ball with average force exerted by the bat.

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