If the kinetic energy of a body moving with a velocity of $(2 \hat{i} + 3 \hat{j} - 4 \hat{k}) \text{ m/s}$ is $87 \text{ J}$, then the mass of the body is: (in $\text{ kg}$)

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

$A$ toy car of mass $100 \,g$ is moving with a velocity of $(\hat{i}+2 \hat{j}-3 \hat{k}) \,m/s$. The kinetic energy of the car is: (in $\,J$)

Three bodies $A, B$ and $C$ have equal kinetic energies and their masses are $400 \,g, 1.2 \,kg$ and $1.6 \,kg$ respectively. The ratio of their linear momenta is:

$A$ ball of mass $2\,kg$ and another of mass $4\,kg$ are dropped together from a $60\,ft$ tall building. After a fall of $30\,ft$ each towards the earth,their respective kinetic energies will be in the ratio of:

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