n a game of pool, the cue ball strikes the black 8 ball and sends it into the corner pocket. The cue ball initially travels at v = 1 m/s in the x direction. After the collision, the 8 ball makes an angle of θ = 45◦ with the x axis and is traveling at a speed v2. The cue ball is now moving at an unknown angle θ1 with respect to the x axis at a speed v1. You may assume that the balls have the same mass and that the collision is elastic. (a) Write the expression for energy conservation. (b) Write equations for momentum conservation. (c) Find the final speed of the 8 ball

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