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

Options

A. `(abs(m_(1)-m_(2))u_("rel"))/(m_(1)+m_(2)+M)`
B. `(abs(m_(1)-m_(2))u_("rel"))/M`
C. `abs((m_(1)u_("rel"))/(m_(2)+M)-(m_(2)u_("rel"))/(m_(1)+M))`
D. none of these

Answer

A