I figured out the first part of the question. Need help with the second question

Question

1. A 9.0 kg bowling ball races down the lane at 15 m/s before striking a bowling pin (at rest) with a mass of 0.85 kg. If the pin flies off with a velocity of 45 m/s, what is the velocity of the bowling ball after the collision?

2. If the ball and pin in the above problem are in contact for 0.01 seconds, calculate the force exerted on the pin by the ball.

Answer 1

Find the impulse I imparted to the pin, divide it by the time over which the force acted (i.e. the contact time), and that will give the force.

 

I = p_f - p_i = (0.85 kg)(45 m/s) - (0.85 kg)(0 m/s) = 38.25 kg·m/s

 

F = I/t = (p_f - p_i)/t = (38.25 kg·m/s)/(0.01 s) = 3825 N