Question

Two bodies A and B having masses m_A and m_B respectively have equal kinetic energies. If p_A and p_B be their respective momenta, then prove that the ratio of momentia is equal to the square root of the ratio of respective masses.

Answer 1

Let v_A and v_B the velocities of A and B respectively.

Since their kinetic energies are equal

From equation (i), we get

From equation (ii), we get