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 50.0 m/s ,and it leaves the bat traveling to the left at an angle of 40 above horizontal with a speed of 55.0 m/s . The ball and bat are in contact for 1.85 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

Lets consider the right side dirction as +x -axis (i) and upper direction as +y-axis (j).

initial velocity of ball = 50 i m/s

final velocity = 55 (-cos40i + sin40j) m/s

using impulse = change in momentum = force x time

0.145 [ -55cos40i + 55sin40j - (50i)] = F x 1.85 x 10^-3

F = - 7221.19i + 2770.94j N

A) Horizontal compomemt = - 7221.19 N

B) Vertical component = 2770.94 N

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