A ball of mass 1000g moving with 7m/s impinges another ball of twice its own mass and moving with 1/6th of its own velocity and moves in the opposite direction. If the coefficient of restitution is 0.75, calculate the velocities of the two balls after impact
initial momentum = 1 kg * 7 m/s - 2 kg * 7/6 m/s =
= 14/3 kg m/s
final momentum is the same
14/3 = 1 * V1 + 2 * V2
so
V1 = 14/3 - 2 V2
initial Ke = (1/2)(1)(49) + (1/2)(2)(49/36)
final Ke = .75*initial Ke
= (1/2)(1)V1^2 + (1/2)(2)V2^2