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Two small smooth sphere A and B have equal radius. the mass of A is 4m...

Two small smooth sphere A and B have equal radius. the mass of A is 4m kg and the mass of B is m kg. The spheres are moving on a smooth horizontal plane and they collide. Immediately before the collision the velocity of A is (2i + 3j) ms-1 and the velocity of B is (3i - j) ms-1. Immediately after the collision the velocity of A is (3i + 2j) ms-1. Find

a. the velocity of B immediately after the collision

b. a unit vector parallel to the line of centers of the spheres at the instant of the collision.

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