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Question: Two girls of equal mass m jump off from the border line of a stationery carriage of mass M with same...

Two girls of equal mass m jump off from the border line of a stationery carriage of mass M with same horizontal velocity u relative to the carnage. Neglecting the effect of friction

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 greater velocity to the carriage in whatever manner they jump off.

D

Insufficient data to reply.

Answer

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

Explanation

Solution

Which boys 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)

Ucar = u (1M+2m+1M+m)\left( \frac { 1 } { M + 2 m } + \frac { 1 } { M + m } \right)

Instead of mu (1M+2m+1M+2m)\left( \frac { 1 } { M + 2 m } + \frac { 1 } { M + 2 m } \right)

When they jump simultaneously.