Question

Q ​A mass 'm' moves with a velocity 'v' and collides inelastically with another identical mass at rest.
After collision the first mass moves with velocity $\frac{v}{\sqrt{3}}$ in a direction perpendicular to the initial direction
of motion. Find the speed of the second mass after collision :$$\begin{gathered} 1.\frac{2v}{\sqrt{3}} \\ 2.\frac{{\displaystyle v}}{{\displaystyle \sqrt{3}}} \\ 3.v\sqrt{\frac{2}{3}} \\ 4.Thesituationoftheproblemisnotpossiblewithoutexternalimpulse \end{gathered}$$

Answer 1

Dear student

$$\begin{gathered} ApplyingconservationofmomentumalongXaxis \\ InitialmomentumalongXaxisis \\ {P}_i=mv \\ FinalmomentumalongXaxis \\ {P}_i=m{v}_x \\ m{v}_x=mv \\ {v}_x=v \\ ApplyingconservationofmomentumalongXaxis \\ 0=m\frac{v}{\sqrt{3}}-m{v}_y \\ m\frac{v}{\sqrt{3}}-m{v}_y=0 \\ {v}_Y=\frac{v}{\sqrt{3}} \\ netspeed \\ v=\sqrt{{v^2}_x+{v^2}_y}=\sqrt{v^2+\frac{v^2}{3}}=\frac{2v}{\sqrt{3}} \\ Regards \end{gathered}$$