Cue stick and a ball?

Question

A cue stick hits a cue ball with an average force of 23 N for a duration of 0.024 s. If the mass of the ball is 0.17 kg, how fast is it moving after being struck?

Answer 1

An impulse is defined as a change in momentum, and can be found my multiplying an applied force by its duration. In this case, that's 23 * 0.024 = .552 kg-m/s. Momentum is also mass times velocity, and your velocity is unknown. so 0.17v = 0.552 ==> v = 3.25 m/s.