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Two smooth spheres A and B, of equal radius but of masses m and M, are free to move on a horizontal table. A is projected with speed u towards B which is at rest. On impact, the line joining their centres is inclined at an angle θ to the velocity of A before impact. If e is the coefficient of restitution between the spheres, find the speed with which B begins to move. If A’s path after impact is perpendicular to its path before impact tan 2 θ= eM- m/M- m

Two smooth spheres A and B, of equal radius but of
masses m and M, are free to move on a horizontal table. A
is projected with speed u towards B which is at rest. On
impact, the line joining their centres is inclined at an
angle θ to the velocity of A before impact. If e is the
coefficient of restitution between the spheres, find the
speed with which B begins to move. If A’s path after
impact is perpendicular to its path before impact 
 
tan2θ= eM- m/M- m

Grade:12th pass

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