Q 11-05-013NEETJEE MainEAMCET 2007 (Medical)Medium
A sphere of mass $m$ moving with constant velocity $u$ collides with another stationary sphere of the same mass. If $e$ is the coefficient of restitution, the ratio of the final velocities of the first and second sphere is
Answer: (B) $\dfrac{1 - e}{1 + e}$
Momentum: $v_1 + v_2 = u$. Restitution: $v_2 - v_1 = eu$.
$$v_1 = \frac{u(1 - e)}{2}, \qquad v_2 = \frac{u(1 + e)}{2}, \qquad \frac{v_1}{v_2} = \frac{1 - e}{1 + e}$$
Solution by Sreeraj P, M.Sc Physics