Answer to Question #232462 in Physics for Gian

Question #232462

A 50 kg swimmer dives from a 100 kg boat initially at rest. If the swimmer leaves the boat with a horizontal speed of 2 m/s, find the recoil speed of the boat, neglecting the transfer of momentum to the water.

1
Expert's answer
2021-09-03T08:25:10-0400

When they were both at rest, the total momentum of the system was 0. According to momentum conservation, the final total momentum must be 0 as well:


pi=pf,0=mv+Mu,mv=Mu,502=100u,u=1 m/s.p_i=p_f,\\ 0=mv+Mu,\\ mv=-Mu ,\\ 50·2=-100·u,\\ u=-1\text{ m/s}.

The minus sign means that the boat moves in the opposite direction.


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