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Three particles A, B, and C with masses mA=2mB=mC are arranged (in that order) in a...

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Physics

Three particles A, B, and C with masses mA=2mB=mC are arranged(in that order) in a straight line. Initially, B and C are at resta distance L apart, and A is projected towards B with speed vA. Theparticles then undergo elastic head‐on collisions.

SHOW THAT:

a)for any elastic head‐on collision, the relative speed of thetwo objects after the collision has the same magnitude (butopposite direction) as before the collision: ?vA-vB=-(vfA-vfB) ... (f for final/aftercollision)

b)A and B collide twice and that the time interval between thesetwo collisions is ∆?t=12L/7vA

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