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

In summary, the conversation discussed two scenarios of a pitcher throwing a ball and a batter either swimming or swinging at the ball. The ball and bat have specific masses and the impact between them is assumed to last for a certain amount of time with a given coefficient of restitution and constant force. The questions asked for the impulse exerted on the ball by the bat and the work done on the ball by the bat in both scenarios. The solution involved using the equations ΣFΔt=mΔv for impulse and W=FΔd for work. The calculated values for both scenarios were 25Ns for impulse and 187.5J for work.
  • #1
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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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  • #2
Never mind, I think I got it! Realized I did part a) wrong and was able to get b).
 

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