Two particles $$P1$$ and $$P2$$ of equal masses situated at (0$$ , $$0) and (10$$, $$0) respectively at t $$=$$ $$0$$ moving with constant velocities collided head on at point (4$$ ,$$0) after time $$t0$$. If the coefficient o f restitution is $$1$$ then what is the $$x-co-ordinate$$ of centre of mass of the two particles at t $$=$$ $$2t0$$.

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Let $$u1$$ & $$u2$$ are the velocities of $$P1$$ & $$P2$$ respectively at $$t=0$$, $$thenu1=4t0$$ and $$u2=6t0At$$ t $$=$$ $$t0$$, $$x-coordinate$$ of centre of mass is $$4$$ . As velocity of C OM is remaining constant, so after further $$t0$$ time,$$Xcm=4+vcmt0=4+4t0$$−$$6t0$$⋅$$t02=3$$

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