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Question: Answered & Verified by Expert
Two bodies $A$ and $B$ of same mass undergo completely inelastic one dimensional collision. The body $A$ moves with velocity $v_1$ while body $B$ is at rest before collision. The velocity of the system after collision is $v_2$. The ratio $v_1: v_2$ is
PhysicsCenter of Mass Momentum and CollisionNEETNEET 2024
Options:
  • A 2:1
  • B 4:1
  • C 1:4
  • D 1:2
Solution:
1698 Upvotes Verified Answer
The correct answer is: 2:1


It undergoes completely inelastic collision
Using conservation of linear momentum
Initial momentum = Final momentum
$\begin{aligned}
& \Rightarrow m v_1=m v_2+m v_2 \\
& \Rightarrow m v_1=2 m v_2 \\
& \Rightarrow \frac{v_1}{v_2}=\frac{2}{1}
\end{aligned}$

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