Two particles, P and Q, of masses 2m and 3m, respectively, are resting on a smooth, horizontal

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Two particles, P and Q, of masses 2m and 3m, respectively, are resting on a smooth, horizontal surface. Particle P is projected towards Q with speed u. It strikes Q directly and the coefficient of restitution between the particles is e.

a. Find the velocity of P and Q after the collision, in terms of e and u.

b. Find the range of values of e such that P's direction does not change due to the collision.

c. Find the loss in kinetic energy due to the collision, giving your answer in terms of e, m and u.

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