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

ID: 1373435 • Letter: A

Question

A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the right at 50.0m/s , and it leaves the bat traveling to the left at an angle of 35? above horizontal with a speed of 55.0m/s . The ball and bat are in contact for 1.85ms .

Part 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.

Part B

Find the vertical component of the average force on the ball.

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
(50 +55cos50)/.00185 =a
a= -46136.928 m/s/s
F=ma
F = (0.145)(-46136.925)
Fhorizontal average = 6689 N to the left

v1=0
v2v =55sin50
v=at
a=v/t
F=ma
F=mv/t
F = ((0.145)(55sin50))/(0.00185)
Fvertical average = 3302.27 N upward

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