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Relative Velocity

The speed of ...

Question

The speed of the trolley when the man jumps off the trolley is

A

2

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B

4

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C

8

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D

16

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Solution

The correct option is B 8
Mass of trolley= $m = 40 k g$
Mass of the man= $M = 80 k g$
Since no external force acts in horizontal direction, the conservation of momentum along the direction holds.
Hence $(M + m) v_{0} = M v_{m a n} + m v_{t r o l l e y}$
$⟹ (80 + 40) 2 = (80) (- 1) + (40 v)$
$⟹ v = 8 m / s$

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