First slide
Motion of centre of mass
Question

A raft of mass 30 kg and length 5m is floating on water. A man of mass 60 kg is standing on the raft at one end. If the man starts walking towards the other end of the raft with a velocity of 2 m/s relative to the raft, what will be the velocity of the man relative to the shore? There is no friction between the raft and water.

Moderate
Solution

If V be the velocity of the raft relative to the shore, then conserving momentum.

60×2V+30×V=0V=43m/s

 Velocity of the man relative to the shore 243m/s=23m/s

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