First slide
Motion of centre of mass
Question

Two particles having masses m and 2m are travelling along x-axis on a smooth surface with velocities u1 and u2, collide. If their velocities after collision are v1 and v2, then the ratio of velocities of their centre of mass before and after impact is

Easy
Solution

During the course of collision, forces acting on the system are internal forces and no net external force acts on the system. Hence acceleration is non zero and therefore velocity of COM does not change due to the impact. so option (3) is right.

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