A man of 50 kg is standing at one end on a boat of length 25 m and mass 200 kg . If he starts running and when he reaches the other end, he has a speed 2 m s - 1 with respect to the boat. The final speed of the boat is ( in m s - 1 )

Question

A man of 50 kg is standing at one end on a boat of length 25 m and mass 200 kg . If he starts running and when he reaches the other end, he has a speed 2 m s - 1 with respect to the boat. The final speed of the boat is ( in m s - 1 ), 2 5, 2 3, 8 5, 8 3

MARKS App · Accepted Answer

Let v be the speed of the boat with respect to the water, then from conservation of linear momentum. - 200 + 50 v + 50 × 2 = 50 × 0 + 200 × 0 250 v = - 100 v = - 100 250 = - 2 5 m s - 1

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