Finding Work From Impulse: Calculating Impact on a Ball by a Bat

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SUMMARY

The discussion focuses on calculating the impulse exerted on a ball by a bat in two scenarios involving different velocities. In scenario (A), where the pitcher throws the ball at -55 m/s and the batter swings at 25 m/s, the impulse calculated is 25 Ns. In scenario (B), with the pitcher throwing at -25 m/s and the batter swinging at 55 m/s, the impulse is 55 Ns. The coefficient of restitution is 0.5, and the impact duration is 0.3 seconds, which are critical for understanding the dynamics of the collision.

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  • Understanding of impulse and momentum principles
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  • Basic knowledge of work-energy concepts
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Homework Statement



Consider the following two scenarios.
(A) A pitcher throws a ball at -55m/s and the batter swims at 25m/s.
(B) A pitcher throws a ball at -25m/s and the batter swings at 55m/s.
The ball has a mass of 0.15kg and the bat has a mass of 1kg. Assume that the impact between the ball and the bat lasted for 0.3s, the coefficient of restitution was 0.5 and that the force of impact maintained a constant value throughout impact.

Question a) For both scenarios: what impulse was exerted on the ball by the bat?
Question b) For both scenarios: how much work was done on the ball by the bat?

Homework Equations



ΣFΔt=mΔv
W=FΔd

The Attempt at a Solution



I thiiiink that I got question a)

(A)
ΣFΔt=mΔv
ΣFΔt=(1)(25)
ΣFΔt=25Ns

(B)
ΣFΔt=mΔv
ΣFΔt=(1)(55)
ΣFΔt=55Ns

I am unsure of how to go from impulse to calculate work in question b).
 
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Never mind, I think I got it! Realized I did part a) wrong and was able to get b).
 

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