\begin{align} \v{p}_1' &= mv\v{n}_0+m_1(\v{p}_1+\v{p}_2)/(m_1+m_2), \\ \v{p}_2' &= -mv\v{n}_0+m_2(\v{p}_1+\v{p}_2)/(m_1+m_2), \end{align}