A lift of mass $M =500\,kg$ is descending with speed of $2\,ms ^{-1}$. Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of $2\,ms ^{-2}$. The kinetic energy of the lift at the end of fall through to a distance of $6 m$ will be $………..kJ.$

A cricket ball is hit at ${30^o}$ with the horizontal with kinetic energy $K$. The kinetic energy at the highest point is

Sand is deposited at a uniform rate of $20\ kg/s$ and with negligible kinetic energy on an empty conveyor belt moving horizontally at a constant speed of $10$ meters per minute. Find the force required to maintain constant velocity of the conveyor belt.

A body of mass $(4m)$ is lying in $x-y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass $(m)$ move perpendicular to each other with equal speeds $(v).$ The total kinetic energy generated due to explosion is…………….. $mv^2$

A block of mass $0.50\ kg$ is moving with a speedof $2.00$ $ms^{-1}$ on a smooth surface. It strikes another mass of $1.00\ kg$ and then they move together as a single body. The energy loss during the collision is …………. $\mathrm{J}$