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

ID: 1376000 • Letter: A

Question

A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the right at 60.0m/s , and it leaves the bat traveling to the left at an angle of 35? above horizontal with a speed of 65.0m/s . The ball and bat are in contact for 1.65ms .

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.

Fx = ?? N

Explanation / Answer

Solution:

Given :

mass = m = 0.145 kg

initial velocity = vix = 60m/s

Final velocity vf= 65 m/s , theta = 35 degrees

Time = t = 1.65 s

Force= F

F t = m ( vf - vi )

X component =Fx = m(vfx - vix) / t

                                = 0.145 ( 65 cos 35 - 60 ) / 1.65

                                = - 0.59 N

                                = - 5.9 x10^-1 N ( 2 significant figures)

Y component of force = Fy = m(vfy -viy)

                                            = 0.145(65 sin 35-0) /1.65

                                            = 3.28 N

                                            = 3.3 N

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