A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick together and continue to move together with velocity
Select the correct option:
A
v
B
v/2
C
v/3
D
v/4
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Applying conservation of linear momentum
$$
\begin{aligned}
& \Rightarrow \vec{P}_i=\vec{P}_f \\
& m v+2 m \times 0=(3 m) v^{\prime} \\
& \therefore m v=3 m v^{\prime} \\
& v^{\prime}=\frac{v}{3}
\end{aligned}
$$
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Applying conservation of linear momentum
$$
\begin{aligned}
& \Rightarrow \vec{P}_i=\vec{P}_f \\
& m v+2 m \times 0=(3 m) v^{\prime} \\
& \therefore m v=3 m v^{\prime} \\
& v^{\prime}=\frac{v}{3}
\end{aligned}
$$