MCQ
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 urel with respect to the trolley, then the velocity of the trolley is
  • $\frac{{|{m_1} - {m_2}|{u_{rel}}}}{{{m_1} + {m_2} + M}}$
  • B
    $\frac{{|{m_1} - {m_2}|{u_{rel}}}}{M}$
  • C
    $\left| {\frac{{{m_1}{u_{rel}}}}{{{m_2} + M}} - \frac{{{m_2}{u_{rel}}}}{{{m_1} + M}}} \right|$
  • D
    none of these

Answer

Correct option: A.
$\frac{{|{m_1} - {m_2}|{u_{rel}}}}{{{m_1} + {m_2} + M}}$
a

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