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Question

A man of mass 50 kg jumps on a car from a tower as shown in the figure.

Find the final velocity of the car if the weight of the car is 150 kg and is initially moving with a velocity of 60 m/s.

A
45 m/s
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B
150 m/s
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C
90 m/s
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D
30 m/s
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Solution

The correct option is A 45 m/s
Given:
Mass of man Mm=50 kg
Mass of car, Mc=150 kg
Initial velocity of car, vi=60 m/s
Initial velocity of man in horizontal direction is 0 m/s
Let final velocity of (car+man) is vf
As there are no external forces in horizontal direction, therefore applying conservation of linear momentum in horizontal direction.
Mcvi=(Mc+Mm)vf
vf=McviMc+Mm
=150×60200=45 m/s

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