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Two girls of equal mass m jump off from ...

Two girls of equal mass `m` jump off from the border line of a stationary carriage of mass `M` with same horizontal velocity `u` relative to the carriage in same direction. Neglect the effect of friction. Mark correct options.

A

They will impart greater velocity to the carriage by jumping of simultaneously

B

They will impart greater velocity to the carriage by jumping one after the other

C

They will impart same velocity to the carriage in whatever manner they jump off.

D

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The correct Answer is:
B

Ans.(2)
When girls jump one by one total velocity of the system will be more (because from conservation of momentum, velocity of car in this case will be
`u_(car)=u((1)/(M+2m)+(1)/(M+m))m` instead of
`m u((1)/(M+2m)+(1)/(M+2m))` when they jump simultaneously.
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