Pathfinder Impulse & Momentum BYU 35

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Two balls of unequal masses, moving in opposite directions with equal speeds collide elastically. Thereafter, the heavier particle is observed deviated from its original direction of motion by an angle alpha = 30 degree in laboratory frame and by an angle beta = 60 degree in centre of mass frame. How many times of the mass of lighter ball is the mass of heavier ball ?

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