A body of mass 8   kg and another of mass 2   kg are moving with equal kinetic energy. The ratio…

Given: The mass of the objects $m_1=8 \mathrm{kg}$ and $m_2=2 \mathrm{kg}$.

Let the momentum of the $8 \mathrm{kg}$ and $2 \mathrm{kg}$ masses is $p_1$ and $p_2$, respectively, then according to question, their kinetic energy are equal, i.e.,

$K_1=K_2$

$\frac{p_1^2}{2m_1}=\frac{p_2^2}{2m_2}$

$\frac{p_1}{p_2}=\sqrt{\frac{m_1}{m_2}}=\sqrt{\frac{4}{1}}=\frac{2}{1}$