1.

At `t = 0`, the positions and velocities of two particles are as shown in the figure. They are kept on a smooth surface and being mutually attracted by gravitational force. Find the position of centre of mass at `t = 2s`. .A. `X=5m`B. `X=7m`C. `X=3m`D. `X=2m`

Answer» Correct Answer - B
As no external force is acting on the system. The velocity of centre of the mass will be constant.
`v_(CM)=(1x5-1xx3)/(1+1)=1m//s`
Displacement of the centre of mass `/_x_(CM)=1xx2=2m`
Hence, position of the centre of mass `=5+2=7m`


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