Two bodies of masses $1 \mathrm{~kg}$ and $2 \mathrm{~kg}$ have equal momentum, then the ratio of their…
Two bodies of masses $1 \mathrm{~kg}$ and $2 \mathrm{~kg}$ have equal momentum, then the ratio of their kinetic energies is
$2: 1$
$3: 1$
$1: 3$
$1: 1$
Solution
Given, $m_{1}=1 \mathrm{~kg}, m_{2}=2 \mathrm{~kg}$
The kinetic energy is related to momentum of body by the formula given as $K=\frac{p^{2}}{2 m}$
$\frac{K_{1}}{K_{2}}=\frac{m_{2}}{m_{1}}=\frac{2}{1} \quad(\because \text { momentum is same) }$