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A boat of mass 40kg is at rest. A dog of mass 4kg moves in the boat with a velocity of 10m/s. What is the velocity of boat(nearly)?

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4m/s

2m/s

8m/s

1 m/s

answer is D.

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Detailed Solution

Using momentum conservation

$m (v + v_{b}) + {Mv}_{b} = 0 \Rightarrow$ $v_{b} = - \frac{m \times v}{m + M} = - \frac{4 \times 10}{4 + 10} \approx 1 m / s$ (in opposite direction).

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