Multivariate Calculus: multivariate calculus – #27259


. (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. [10]

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