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

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2 : 1

2 : 3

1 : 1

1 : 2

answer is C.

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Detailed Solution

There are no net external forces operating on the system during a collision; all forces acting on the system are internal forces.

As a result, acceleration is zero and the hit has no effect on COM's velocity.

The velocity of the centre of mass remains constant after a collision because there is no external force acting on the two mass systems.

The velocity ratio before and after the impact is therefore 1:1.

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