A smooth sphere of mass $M$ moving with velocity $u$ directly collides elastically with another sphere of mass m at rest. After collision their final velocities are $V$ and $v$ respectively. The value of $v$ is
A smooth sphere of mass $M$ moving with velocity $u$ directly collides elastically with another sphere of mass m at rest. After collision their final velocities are $V$ and $v$ respectively. The value of $v$ is
$\frac{{2uM}}{m}$
$\frac{{2um}}{M}$
$\frac{{2u}}{{1 + \frac{m}{M}}}$
$\frac{{2u}}{{1 + \frac{M}{m}}}$
A smooth sphere of mass $M$ moving with velocity $u$ directly collides elastically with another sphere of mass m at rest. After collision their final velocities are $V$ and $v$ respectively. The value of $v$ is
${v_2} = \left( {\frac{{{m_2} - {m_1}}}{{{m_1} + {m_2}}}} \right)\;{u_2} + \frac{{2{m_1}{u_1}}}{{{m_1} + {m_2}}}$$ = \frac{{2Mu}}{{M + m}} = \frac{{2u}}{{1 + \frac{m}{M}}}$
Other Language