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A bat strikes a 0.145- baseball. Just before impact, the ball is traveling horiz

ID: 2090138 • Letter: A

Question

A bat strikes a 0.145- baseball. Just before impact, the ball is traveling horizontally to the right at a speed of 40.0 , and it leaves the bat traveling to the left at an angle of 40 above horizontal with a speed of 60.0 . The ball and bat are in contact for 1.85 . a) Find the horizontal component of the average force on the ball. Take the x-direction to be positive to the right. Express your answer using two significant figures. b) Find the vertical component of the average force on the ball. The positive y-axis points upwards. Express your answer using two significant figures.

Explanation / Answer

v1 is initial velocity horizontal
v2h is final velocity horizontal
at is acceleration-time velocity change
v1-at =-v2h
(v1+v2h)/t =a
40 +60cos40/.00185 =a
a= 46466 m/s/s
F=ma
F = (0.145)(46466)
Fhorizontal average = 6737 N to the left
v1=0
v2v =60sin40
v=at
a=v/t
F=ma
F=mv/t
F = (0.145)(60sin40)/(0.00185)
Fvertical average = 3022.8 N upward

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