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 $$=$$ $$2s$$.

Question

Infinity Learn · Accepted Answer

As no extemal force are acting on the system. The velocity of centre of mass will be constant.initial position of CM is $$Xcm=1$$×$$0+1$$×$$101+1=5$$ mvcm $$=$$ $$1$$×$$5-1$$×$$31+1$$ $$=$$ $$1$$ $$m/sDisplacement$$ of centre of mass ∆$$xcm=$$ $$1$$×$$2$$ $$=$$ $$2$$ mHence position of centre of mass ∆xcm $$=$$ $$5+2$$ $$=$$ $$7$$ m

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.

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