Question

The velocity of centre of mass of the system remains constant, if the total external force acting on the system is

Answer 1

$M$ for mass

And $V$ for velocity$.$

When there is not external force the acceleration of body is zero$.$

The velocity of the body will be ${}^{\prime }{v}^{\prime }$

Force$=$ rate of change of momentum

$\Rightarrow F=d\left(mv\right)/dt$

$\Rightarrow m\left(dv/dt\right)=F$

The external force $F=0$

$M\left(dv/dt\right)=0$

$dv/dt=0$

$M$ is not zero

So this proves that velocity will always be constant in such scenario$.$