A particle of mass $m$ moving with velocity $v_0$ collides head-on inelastically $(e=0)$ with anothe

Question

A particle of mass $m$ moving with velocity $v_0$ collides head-on inelastically $(e=0)$ with another particle of mass $M$. The fractional energy $\left(\frac{K_f}{K_l}\right)$ remaining with the system after collision is

Professor PC Thomas Classes · Answer

$ \begin{aligned} & K_i=\frac{1}{2} m v_0^2 \ & K_f=\frac{1}{2}(m+M)\left(\frac{m v_0}{m+M}ight)^2=\frac{1}{2} \frac{m^2 v_0^2}{m+M} \ & 	herefore \frac{K_f}{K_i}=\frac{m}{m+M} \end{aligned} $ $\stackrel{m}{O}$