A particle of mass ${m_1}$ is moving with a velocity ${v_1}$and another particle of mass ${m_2}$is moving with a velocity ${v_2}$. Both of them have the same momentum but their different kinetic energies are ${E_1}$and ${E_2}$respectively. If ${m_1} > {m_2}$ then

The bob of a simple pendulum (mass m and length $ l$) dropped from a horizontal position strikes a block of the same mass elastically placed on a horizontal frictionless table. The K.E. of the block will be

A body of mass $m$ moves in a circular path with uniform angular velocity. The motion of the body has constant

Two carts of masses $200\, kg$ and $300 \,kg$ on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the $200 \,kg$ cart travels a distance of $36 \,m$ and stops, then the distance travelled by the cart weighing $300 \,kg$ is …….. $m$

In the figure shown all the surfaces are frictionless, and mass of the block, $m = 1\, kg$. The block and wedge are held initially at rest. Now wedge is given a horizontal acceleration of $10\, m/s^2$ by applying a force on the wedge, so that the block does not slip on the wedge. Then work done by the normal force in ground frame on the block in $\sqrt 3 $ seconds is ……… $J$