You’re playing pool and you line up a shot on the 3 ball. You want the 3 ball to be deflected by anangle of theta(3 )= 25 degree at a velocity v3 = 1.3 m/s so that it will make it into a side pocket. What initial velocitymust you give the cue ball in order to make this shot and what will be the velocity and angle of the cueball following the collision? Recall that the mass of a cue ball is 0.17 kg, while the mass of a 3 ball is 0.16kg. Hint: it might be useful to express the mass of the 3 ball as a fraction of the mass of the cue ball.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 6OQ: A 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a...
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You’re playing pool and you line up a shot on the 3 ball. You want the 3 ball to be deflected by an
angle of theta(3 )= 25 degree at a velocity v3 = 1.3 m/s so that it will make it into a side pocket. What initial velocity
must you give the cue ball in order to make this shot and what will be the velocity and angle of the cue
ball following the collision? Recall that the mass of a cue ball is 0.17 kg, while the mass of a 3 ball is 0.16
kg. Hint: it might be useful to express the mass of the 3 ball as a fraction of the mass of the cue ball.

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