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 50.0m/s , and it leaves the bat traveling to the left at an angle of 30? above horizontal with a speed of 65.0m/s . The ball and bat are in contact for 1.85ms .

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

breaking up velocotoes into two components

Vox =   50 m/s

Voy = - 65 cos 30 = -56.29 m/s

now use force F = ma

F along x ais = Fx     = max

use Vx = Vox + at

so

ax = vx-vox)/t

ax = -56.29 -50/(0.00185)

ax = 27083 m/s^2

sp

Fx = 0.145 * 27083

Fx = 3.927 kN
------------------

ay = 56.29/0.00185

ay = 30427 m/s^2

Fy = 0.185 * 30427

Fy = 5.629 kN

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