A body of mass $5\,kg$ is moving with a momentum of $10\,kg\,ms ^{-1}$. Now a force of $2\,N$ acts on the body in the direction of its motion for $5\,s$. The increase in the Kinetic energy of the body is $...........J$.

Two bodies of masses $2m$ and $m$ have their K.E. in the ratio $8 : 1$, then their ratio of momenta is

A force of $5\,N$ acts on a body of mass $5\, kg$ for $1\, second$ and gives it a momentum $p$ and kinetic energy $E$. If the same force accelerates the same body through $1\,m$, the momentum and energy attained by the body are $p’$ and $E’$ respectively. Which of the following relations is correct?

The kinetic energy $K$ of a particle moving along $x$-axis varies with its position $(x)$ as shown in figure The magnitude of force acting on particle at $x=9 \,m$ is ............ $N$

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.

Two bodies are having kinetic energies in the ratio $16: 9$. If they have same linear momentum, the ratio of their masses respectively is