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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.

a
32m/s
b
34m/s
c
23m/s
d
13m/s

detailed solution

Correct option is C

If V be the velocity of the raft relative to the shore, then conserving momentum.60×2−V+30×−V=0⇒V=43m/s ∴Velocity of the man relative to the shore 2−43m/s=23m/s

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