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

Question

A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the right at 40.0 m/s , and it leaves the bat traveling to the left at an angle of 30 above horizontal with a speed of 65.0 m/s . The ball and bat are in contact for 1.75 ms

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.

Express your answer using two significant figures.

Explanation / Answer

left x axis is directed along right and y axis is directed along upward direction

let i be the unit vector along x axis and j be the unit vector along y axis

then initial veloicty=40 i m/s

final veloicty=65*(-cos(30) i + sin(30) j)

=-56.3 i + 32.5 j m/s

as we know, impulse applied=change in momentum

==>impulse applied=mass*(final veloicty-initial veloicty)

==>force applied*duration of contact=0.145*(-56.3 i +32.5 j -40 i)

==>force applied*1.75*0.001=0.145*(-96.3 i +32.5 j)

==>force applied=82.857*(-96.3 i + 32.5 j )

part A:

horizontal componet of average force=-82.857*96.3=-7979.13 N

part B:

vertical component of average force=82.857*32.5=2692.85 N

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