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Two persons of mass m(1) and m(2) are st...

Two persons of mass `m_(1)` and `m_(2)` are standing at the two ends A and B respectively, of a trolley of mass M as shown.

When both the persons jump simultaneously with `u_("rel")` with respect to the trolley, then the velocity of the trolley is

A

`(|m_(1)-m_(2)|u_("rel"))/(m_(1)+m_(2)+M)`

B

`(|m_(1)-m_(2)|u_("rel"))/(M)`

C

`(|(m_(1)u_("rel"))/(M+m)-(m_(2)u_("rel"))/(m_(1)+M)|`

D

none of these

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