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 final velocity of the wedge $v_2$ is

 

As per the given figure, two blocks each of mass $250\,g$ are connected to a spring of spring constant $2\,Nm ^{-1}$. If both are given velocity $V$ in opposite directions, then maximum elongation of the spring is:

A ball is dropped from height $10 \,m$. Ball is embedded in sand $1 \,m$ and stops, then

A shell in free space initially at rest explodes into two pieces, $A$ and $B$ , which then move in opposite directions. Piece $A$ has less mass than piece $B$ . Ignore all external forces. Identify correct statement

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 ........ $m$

A ball is projected from top of a tower with a velocity of $5\,\, m/s$ at an angle of $53^o$ to horizontal. Its speed when it is at a height of $0.45 \,\,m$ from the point of projection is  ........ $m/s$