A thin uniform bar lies on a frictionless horizontal surface and is free to move in any way on the surface. Its mass is 0.16 kg

Question

A thin uniform bar lies on a frictionless horizontal surface and is free to move in any way on the surface. Its mass is 0.16 kg and length is 1.7 m .Two particles each of mass 0.08 kg are moving on the surface and towards the bar in the direction perpendicular to the bar, one with a velocity of 10 m/s and other with velocity 6 m/s. If collision between particles and bar is completely inelastic, both particle strike with the bar simultaneously. The velocity of centre of mass after collision is:

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