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  4. A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then. the trolly car starts moving with velocity 2 ms -1. The velocity of the running man was ms -1. when he jumps into the car.

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Q. A man of $60\, kg$ is running on the road and suddenly jumps into a stationary trolly car of mass $120 \,kg$. Then. the trolly car starts moving with velocity $2 \,ms ^{-1}$. The velocity of the running man was _________$ms ^{-1}$. when he jumps into the car.

JEE MainJEE Main 2022Motion in a Straight Line

Solution:

Taking the system as man and trolley and using conservation of linear momentum.
$60 \times v=(60+120) \times 2$
$\Rightarrow v=6 \,m / s$