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Q.

Three particles A,B and C of equal masses move with equal speeds v along the medians of an equilateral triangle. They collide at the centroid O of the triangle. After collision A comes to rest while B retraces its path with speed v. The velocity of C is then

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a

v, direction OA

b

2v, direction OA

c

2v, OB

d

v, direction BO

answer is D.

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Detailed Solution

Initial momentum of system is zero. So, final momentum should also be zero. Finally A comes to rest after collision, so to have final momentum zero, B and C should move in opposite directions.
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Three particles A,B and C of equal masses move with equal speeds v along the medians of an equilateral triangle. They collide at the centroid O of the triangle. After collision A comes to rest while B retraces its path with speed v. The velocity of C is then