Q170 / 225 · JEE Main 2002 · Physics

Two identical particles move towards each other with velocity $2 v$ and $v$ respectively. The velocity of centre of mass is

A
v
B
v/3
Correct answer
C
v/2
D
zero

Solution

Conserving Linear Momentum $$ 2 \mathrm{Mv}_{\mathrm{c}}=2 \mathrm{Mv}-\mathrm{Mv} \Rightarrow \mathrm{v}_{\mathrm{c}}=\mathrm{v} / 2 $$

Hence, the correct answer is option: 'C'.

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