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 $h$. The maximum height h attained by the particle is
$\left( {\frac{m}{{m + M}}} \right)\frac{{v_0^2}}{{2g}}$
$\left( {\frac{m}{M}} \right)\frac{{v_0^2}}{{2g}}$
$\left( {\frac{M}{{m + M}}} \right)\frac{{v_0^2}}{{2g}}$
none of these
A bomb is projected upwards. At topmost point it explodes in three identical fragments. First fragment comes to ground in $10\ sec$. and others in $20\ sec$ each. Then the height reached by the original bomb is.........$m$
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 $h$. Identify the correct statement $(s)$ related to the situation when the particle starts moving downward.
A projectile moving vertically upwards with a velocity of $200\, ms^{-1}$ breaks into two equal parts at a height of $490\, m$. One part starts moving vertically upwards with a velocity of $400\, ms^{-1}$. How much time it will take, after the break up with the other part to hit the ground? .............. $\mathrm{s}$
Write the principle of conservation of mechanical energy for conservative force.
A ball is allowed to fall from a height of $10 \,m$. If there is $40 \%$ loss of energy due to impact, then after one impact ball will go up by ........ $m$