Question

A body moving towards a finite body at rest collides with it. It is possible that
(a) both the bodies come to rest
(b) both the bodies move after collision
(c) the moving body comes to rest and the stationary body starts moving
(d) the stationary body remains stationary, the moving body changes its velocity.

Answer 1

(b) both the bodies move after collision
(c) the moving body comes to rest and the stationary body starts moving

By using the law of conservation of linear momentum we can write:
Initial momentum of the two bodies = Final momentum of the two bodies
$$\begin{gathered} \Rightarrow p_i=p_f \\ \Rightarrow m_{1}u=m_1{v}_1+m_2{v}_2 \\ \Rightarrow v_1=v_2\ne 0 \\ \mathrm{However},\mathrm{it}\mathrm{may}\mathrm{be}\mathrm{possible}\mathrm{that}{\mathrm{v}}_1\mathrm{becomes}0\mathrm{and}{\mathrm{v}}_2\mathrm{becomes}\frac{{\mathrm{m}}_1\mathrm{u}}{{\mathrm{m}}_2}. \end{gathered}$$