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

Option 1)

\nu

Option 2)

\nu /3

Option 3)

\nu /2

Option 4)

zero

Answers (1)
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}}

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


Option 1)

\nu

It is an incorrect option.

Option 2)

\nu /3

It is an incorrect option.

Option 3)

\nu /2

It is the correct option.

Option 4)

zero

It is an incorrect option.

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