Question

Tom is playing billiards on a table set up as shown. He wants to hit the red ball into a corner pocket at an angle of = 60 deg with the Y-axis. Both the red ball and the cue ball have mass m=0.16 kg and e = 0.9. Y 0 Vr2 I Val 13. Where should he aim the cue ball? 14. First Tom hits the cue ball with the stick for a time period of 0.1 s, sending it rolling at 11 m/s along the Y-axis. Find the force with which he hit the ball. 15. The cue ball hits the red ball, sending it toward the pocket. What is conserved during the collision? Select all that apply. Mass, momentum, energy.work 16. What is the velocity vc2 of the cue ball after collision? 17. What is the velocity vr2 of the red ball after collision?

Answer 1

cue Force = change in momentum maci time ball is aimed along yaanis from conservation of momentum along X-Axis F: 0.16*!! = 17.6 N = -ms, sino & meling During indlastic Collision, Vgg sino = vez sinß mass, momentum are conserved, VegSenß = 20.9x Six60°=18.1 B from Conservation of momentum from Dota² along y- anis, mye m vez cosß & mycos ve2 (cos B+ Sint 3}= 0.55 + 18.12 Vei = Veg Cosß & Vracoso to Ver = 18.01 mis & Cosa-Viß coefficient of restitution e: 12 velocity ap red ball coso - cosß= ever 0 after collision is 1-e) Vi 2ų, cosß = 2009 mis Vec cosB = 11-e) v = (1-609)"0.55 2 from 11 = 0.55+ Voz Cosbo Vo= 20,9mis) Vai V 2