Two bodies of masses $m$ and $2m$ have the same momentum. Their respective kinetic energies $E_1$ and $E_2$ are in the ratio:

The kinetic energy of a body of mass $4 \,kg$ and momentum $6 \,Ns$ will be (in $\,J$)

$2$ particles of mass $1\,kg$ and $5\,kg$ have the same momentum. Calculate the ratio of their kinetic energies $(K.E.)$.

If the linear momentum is increased by $5\%$,the kinetic energy will increase by.......$\%$

The kinetic energy of a body moving along a straight line varies with time as shown in the figure. The force acting on the body is:

$A$ body of mass $2 \ kg$ is projected vertically upwards with a velocity of $2 \ m \ s^{-1}$. What will be its kinetic energy in $J$ just before it hits the ground?