# Two identical particles move towards each other with velocity  and  respectively . The velocity of centre of mass is Option 1) Option 2) Option 3) Option 4) zero

P perimeter

As we learnt in

Velocity of centre of mass -

${\vec{v}_{CM}}=\frac{m_{1}\vec{v_{1}}+{m_{2}}\vec{v}_{2}........}{m_{1}+m_{2}........}$

- wherein

m1, m2 ------- are mass of all the particles $\vec{v_{1}},\vec{v}_{2}......$ are velocities of all the particles.

$v_{c}=\frac{m_{1}v_{1}+m_{2}v_{2}}{m_{1}+m_{2}}$

$\dpi{100} or\; \; \; v_{c}=\frac{m(2v)+m(-v)}{m+m}=\frac{v}{2}$

Option 1)

It is an incorrect option.

Option 2)

It is an incorrect option.

Option 3)

It is the correct option.

Option 4)

zero

It is an incorrect option.

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