Physics - Center of Mass Question with Solution | TestHub

Statement-1 : Two particles of mass 1 kg and 3 kg move towards each other under their mutual force of attraction. No other force acts on them. When the relative velocity of approach of the two particles is 2 m/s, their centre of mass has a velocity of 0.5 m/s. When the relative velocity of approach becomes 3 m/s, the velocity of the centre of mass is 0.75 m/s.

Statement-2 : The total kinetic energy as seen from ground is $\frac{1}{2}\mu v_{rel}^2+\frac{1}{2}m{v}_c^2$ and in absence of external force, total energy remains conserved.