Question

A mass m moving with horizontally along x-axis with velocity v collided with

Answer 1

Answer:

As discussed in

Perfectly Inelastic Collision -

v= frac{m_{1}v_{1}+m_{2}v_{2}}{m_{1}+m_{2}}

- wherein

Two bodies stick together after the collision ,so there will be a final common velocity (v)

m_{1},m_{2}= masses

v_{1}=: initial : velocity : mass: m_{1}

v_{2}=: initial : velocity : mass: m_{2}

\therefore mv\hat{i}+3m(2v)\hat{i} = 4 m\vec{v}

\vec{v} = \frac{v}{4}\hat{i}+\frac{6}{4}\hat{j}\Rightarrow \frac{v}{4}\hat{i}+\frac{3}{2}\hat{j}