Question: (a) A smooth sphere A of mass 6 kg, moving with speed 5 ms \[^{-1}\] on a smooth horizontal surface, collides with another smooth sphere B of mass 3 kg, moving with speed 8 ms \[^{-1}\] . The velocities of A and B are inclined at angles \[{{45}^{o}}\] and \[{{60}^{o}}\] , respectively, anticlockwise to the line joining their centres at the moment of impact. Let the coefficient of restitution be \[e=\frac{4}{5}\] . Calculate the magnitudes and directions of the velocities of the spheres after impact. Work to 4 decimal places.

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