Two smooth, identical spheres, P and Q, are resting on a smooth, horizontal surface. The masses of

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Two smooth, identical spheres, P and Q, are resting on a smooth, horizontal surface. The masses of the spheres are 3m and m, respectively. P is projected towards Q with velocity u.

a. Given that the coefficient of restitution between P and Q is e, show that, no matter the value of e, P will travel in the same direction as Q after the collision.

b. Given that e = 2/5, find the loss in kinetic energy due to the collision.

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