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Q.

A (trolley + child) of total mass 200 kg is moving with a uniform speed of 36 km/h on a frictionless track. The child of mass 40 kg starts running on the trolley from one end to the other (10 m away) with a speed of 10ms1   relative to the trolley in the direction of the trolley’s motion and jumps out of the trolley with 10m/s relative to trolley  at that moment.  What is the final speed of the trolley?(in m/s)

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answer is 8.

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Detailed Solution

Applying momentum conservation 
200×10=40(v+10)+160v
v=8m/s

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