Two particles of mass m each are attache...

Two particles of mass m each are attached to the end of a mass less spring. This dumb-bell is moving towards right on a smooth horizontal surface at speed V with the spring relaxed. Another identical dumb-bell is moving along the same line is opposite direction with the same speed. The two dumb-bells collide head on and collision is elastic. Assuming collisions to be instantaneous, how many collisions will take place ?

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