Centre of Mass
The centre of mass of a body or a system of bodies is the point which moves as though all of the mass were concentrated there and all external forces were applied to it. Hence, a point at which the entire mass of the body or system of bodies is supposed to be concentrated is known as the centre of mass.
If a system consists of more than one particles (or bodies) and net external force on the system in a particular direction is zero with centre of mass at rest. Then, the centre of mass will not move along that direction. Even though some particles of the system may move along that direction.
Two particles `A and B` initially at rest move towards each other under a mutual force of attraction. At the instant, when the speed of A is `v` and the speed of B is `2v`;, the speed of centre of mass of the system is
Options:
(a) zero
(b) `v`
(c) `1.5 v`
(d) `3v`