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Question

A heavy trolley is moving horizontally with a velocity of v m/s w.r.t. earth. A man starts running from one end of the trolley with a velocity 1.5v m/s w.r.t. the trolley. After reaching the opposite end, the man turns back and continues running with a velocity of 1.5v m/s w.r.t. trolley in the backward direction. If the length of trolley is L then the maximum displacement of the man with respect to earth will be

A
2.5 L
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B
1.5 L
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C
5L3
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D
2L
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Solution

The correct option is C 5L3
VmG=2.5v
VTG=v
Time to reach opposite end =L1.5v
Maximum displacement w.r.t. ground =L1.5v×2.5v=53L

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