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.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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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