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Collision - Velocity

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Ball 1 with an initial speed of 12 m/s collides elastically with stationary balls 2 and 3 that are initially in contact with each other. The centers of balls 2 and 3 are on a line perpendicular to the initial velocity of ball 1. The three balls are identical. Ball 1 is aimed directly at the contact point, and all motion is frictionless. (Hint: With friction absent, each impulse is directed along the line connecting the centers of the colliding balls, normal to the colliding surfaces.)

(a) After the collision, what is the velocity of ball 2?

(b) After the collision what is the velocity of ball 3?

(c) What is the velocity of ball 1 after the collision?

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