If $p$ is the linear momentum of an object and $v$ is its velocity,write the formula for its kinetic energy.

An object of $1 \, kg$ mass has a momentum of $10 \, kg \cdot m/s$. Then,the kinetic energy of the object will be .............. $J$.

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

$A$ man increases his speed by $2 \ m/s$, and as a result, his kinetic energy doubles. What was his initial speed?

Two particles having masses $4\, g$ and $16\, g$ respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is $n : 2$. The value of $n$ will be ...... .

The masses of two substances are $4 \text{ g}$ and $9 \text{ g}$ respectively. If their kinetic energies are the same,then the ratio of their momenta will be