A system of particles is free from external force. Let v→ and a→ be the velocity and acceleration of CM then

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A system of particles is free from external force. Let $\vec{v}$ and $\vec{a}$ be the velocity and acceleration of CM then

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\vec{v} = 0, \vec{a} = 0

\vec{v} \neq 0, \vec{a} = 0

\vec{v} \neq 0, \vec{a} \neq 0

\vec{a} \neq 0, \vec{v} = 0

answer is B.

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Detailed Solution

It is given that the net external force acting on a system of particles is zero

i.e. ${\vec{F}}_{e x t} = 0$

then C.M of the system will remain in the same state of motion as it is

$∴$ (i) if $\vec{v} = 0$ then $\vec{a} = 0$

(ii) if $\vec{v} \neq 0$ then $\vec{a} = 0$

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