A BALL A OF MASS m MOVING WITH A VELOCITY u1 collides HEAD ON WITH ANOTHER BALL B OF SIMILAR MASS MOVING WITH VELOCITY u2 . the COEFFICIENT OF RESTITUTION IS e . THE RATIO OF FINAL & INITIAL VELOCITIES OF THE BALL A IS
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Expert's answer
2012-08-28T10:15:08-0400
The coefficient of restitution is given by C = (Vb - Va) / (Ua - Ub) for two colliding objects, where Va is the final velocity of the first object after impact Vb is the final velocity of the second object after impact Ua is the initial velocity of the first object before impact Ub is the initial velocity of the second object before impact Let the ratio of final and initial velocities of the ball A is x. u1f = u1 * x e = (u2f - u1f) / (u1 - u2) = (u2f - u1 * x) / (u1 - u2) x = (u2f - e * (u1 - u2)) / u1.
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