Answer
They will have the same kinetic energy only when the masses are equal.
Work Step by Step
the kinetic energy(KE) is given by
E= $\frac{1}{2} m v^2$
Thus we can write
E=$ \frac{m^2 v^2}{2m} = \frac{p^2}{2m} $
Or,
The momentum are the same i.e. $p_1= p_2p $
$E_1/E-2=m_2/m_1$.So we can say that for two objects of the same momentum, the kinetic energy will be inversely proportional to their masses. They will have the same kinetic energy only when the masses are equal.
