Solution:
As Centre of mass was initially at rest and no external force act on it, Center of mass will remain at rest.
Note: Gravitational force here is internal force acting between two objects.
Two bodies of masses 2 kg and 4 kg, initially at rest, start moving towards each other due to mutual gravitational attraction. At a certain instant their speeds are 2 m/s and 1 m/s respectively. The speed of their centre of mass at that instant is
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