The kinetic energy of a body of mass $4 \ kg$ moving with a velocity of $(2 \hat{i}-4 \hat{j}-\hat{k}) \ ms^{-1}$ is (in $J$)

If a light object (mass $M_1$ and velocity $V_1$) and a heavy object (mass $M_2$ and velocity $V_2$) have the same kinetic energy,then which of the following is true regarding their momenta ($P_1 = M_1 V_1$ and $P_2 = M_2 V_2$)?

Two masses of $1 \,g$ and $4 \,g$ are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

$A$ force of $10 \ N$ is applied on an object of mass $2 \ kg$ over a distance of $1 \ m$. What will be the kinetic energy gained by the object in $J$?

$A$ bullet of mass $200\,g$ having initial kinetic energy $90\,J$ is shot inside a long swimming pool as shown in the figure. If its kinetic energy reduces to $40\,J$ within $1\,s$,the minimum length of the pool the bullet has to travel so that it completely comes to rest is $.....m$.

Two particles have masses $m$ and $4m$, and their kinetic energies are in the ratio $2:1$. What is the ratio of their linear momenta?