A particle of mass $m$ moving horizontally with $v_0$ strikes $a$ smooth wedge of mass $M$, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to $a$ height $h$. Choose the correct statement related to the wedge $M$
A particle of mass $m$ moving horizontally with $v_0$ strikes $a$ smooth wedge of mass $M$, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to $a$ height $h$. Choose the correct statement related to the wedge $M$
- A
Its kinetic energy is $K_f \left( {\frac{{4{m^2}}}{{m + M}}} \right)gh$
- B
$v_2 = \left( {\frac{{2m}}{{m + M}}} \right){v_0}$
- C
Its gain in kinetic energy is $\Delta K =$ $\left( {\frac{{4mM}}{{{{(m + M)}^2}}}} \right)\left( {\frac{1}{2}mv_0^2} \right)$
- D
All of the above
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