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 60.0 m/s , and it leaves the bat traveling to the left at an angle of 40 above horizontal with a speed of 60.0 m/s . The ball and bat are in contact for 1.85 ms .

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

here,

mass , m = 0.145 kg

initial velocity of ball , u = 60 m/s i

final velocity of ball , v = 60 * ( - cos(40) i + sin(40) j)

v = (- 46 i + 38.6 j ) m/s

the impulse delivered , I = m * ( v - u)

force , F = I /t

F = m * ( v - u) /t

F = 0.145 * ( - 46 i + 38.6 j - 60 m/s i) /0.00185 N

F = - 8308.1 i N + 3025 j N

a)

the horizontal component of the average force on the ball is - 8308.1 N

b)

the vertical component of the average force on the ball is 3025 N

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