Two bodies $A$ and $B$ of same mass undergo completely inelastic one dimensional collision. The body $A$…

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
  1. 2:1
  2. 4:1
  3. 1:4
  4. 1:2

Solution


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

Asked in: NEET 2024

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