A body of mass $n_{1}$ 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 5ms –1 respectively along the direction of motion of $n_{1}$ The ratio $m_{1} / m_{2}$ is
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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 $v_{2} = \frac{2 m_{1} u_{1}}{m_{1} + m_{2}}$ …(ii)
From (i) and (ii) $\frac{v_1}{v_2} = \frac{m_1 - m_2}{2m_1} = \frac{2}{5}$ ⇒ ⇒ $\frac{m_1}{m_2} = 5$
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