Question

The masses of 1 g and 4 g are moving with equal kinetic energies. Calculate the ratio of the magnitudes of their linear momenta

Answer 1

$K.E=\frac{p^2}{2m}\frac{K.E_1}{K.E_2}=\frac{p_1^2}{m_1{p}_2^2}{m}_{2}1=(\frac{p_1}{p_2}{)}^2\left[\frac{4}{1}\right]\frac{p_1}{p_2}=\frac{1}{2}$