A body of mass $m_{1}$, moving with a velocity $3\ ms^{- 1}$ collides with another body at rest of mass $m_{2}$. After collision the velocities of the two bodies are $2\ ms^{- 1}$ and $5\ ms^{- 1}$ respectively along the direction of motion of $m_{1}$ The ratio $m_{1}/m_{2}$ is

Question

Dr. Abubacker · Accepted Answer

(b) If target is at rest then final velocity of bodies are
$v_{1} = \left( \frac{m_{1} - m_{2}}{m_{1} + m_{2}} \right)u_{1}$ …(i) and $v_{2} = \frac{2m_{1}u_{1}}{m_{1} + m_{2}}$ …(ii)
From (i) and (ii) $\frac{v_{1}}{v_{2}} = \frac{m_{1} - m_{2}}{2m_{1}} = \frac{2}{5}\  \Rightarrow \frac{m_{1}}{m_{2}} = 5$

Q. A body of mass $m_{1}$, moving with a velocity $3\ ms^{- 1}$ collides with another body at rest of mass $m_{2}$. After collision the velocities of the two bodies are $2\ ms^{- 1}$ and $5\ ms^{- 1}$ respectively along the direction of motion of $m_{1}$ The ratio $m_{1}/m_{2}$ is

Explanation

Reviewed by Dr. Abubacker

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