A trolley of mass 200 kg moves with a uniform speed of
on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed
relative to the trolley in a direction opposite to its motion, and jumps out of the trolley. The final speed of the trolley is:
Text Solution
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: Here,
Mass of the trolley, M = 200 Kg
Mass of the child, m = 20 kg
Speed of the trolley, V = 36 km h -1
= 
Before the child starts running, momentum of the system


Let
is the final speed of the trolley.
When the child starts running with a speed of
in a direction opposite to the trolley,
speed of the child relative to ground = 
Momentum of the system when child is running

According to law of conservation of momentum,




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