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

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AI Thread Summary
The discussion focuses on calculating the impulse exerted on a ball by a bat in two scenarios involving different speeds of the ball and the batter. In scenario A, with the ball thrown at -55 m/s and the batter swinging at 25 m/s, the impulse calculated is 25 Ns. In scenario B, where the ball is thrown at -25 m/s and the batter swings at 55 m/s, the impulse is 55 Ns. The participant initially struggled with the transition from impulse to work calculation but ultimately resolved their confusion. The conversation highlights the importance of understanding the relationship between impulse and work in physics.
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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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