JEE MAIN - Physics (2002 - No. 65)
Two identical particles move towards each other with velocity $$2v$$ and $$v$$ respectively. The velocity of center of mass is
$$v$$
$$v/3$$
$$v/2$$
zero
Explanation
The velocity of center of mass of two particle system is
$${v_c} = {{{m_1}{v_1} + {m_2}{v_2}} \over {{m_1} + {m_2}}}$$
$$ = {{m\left( {2v} \right) + m\left( { - v} \right)} \over {m + m}}$$
$$= {v \over 2}$$
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