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 $2 ms^{-1} \,and \, 5ms^{-1}$ respectively along the direction of motion of ${m_1}$ The ratio $ \frac{m_1}{m_2}= $
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 $2 ms^{-1} \,and \, 5ms^{-1}$ respectively along the direction of motion of ${m_1}$ The ratio $ \frac{m_1}{m_2}= $
$\frac{5}{{12}}$
$5$
$0.2$
$2.4$
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 $2 ms^{-1} \,and \, 5ms^{-1}$ respectively along the direction of motion of ${m_1}$ The ratio $ \frac{m_1}{m_2}= $
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}}}{{2{m_1}}} = \frac{2}{5}$$⇒$ $\frac{{{m_1}}}{{{m_2}}} = 5$
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