Two spheres \( A \) and \( B \) move on a smooth horizontal surface with the same velocity \( V ...

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Two spheres \( A \) and \( B \) move on a smooth horizontal surface with the same velocity \( V \) and have some separation between them. A third sphere \( C \) is moving in opposite direction on the same surface with same speed. All the spheres are of equal mass. The collisions are elastic. \( V_{\mathrm{CM}} \) represents the centre of mass velocity of all the three spheres. Column II represents the values after all the possible impacts have occurred.
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