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23 November, 18:59

A 3 billiard ball (mass = 0.16 kg) moving at 4.0 m/s collides elastically head-on with a cue ball (mass = 0.17 kg) that is initially at rest. Find the final velocities of both the cue ball and the 3 billiard ball after the collision.

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  1. 23 November, 19:25
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    Answer: 1.9394m/s

    Explanation: m1 (mass of 3 billiard ball) = 0.16kg

    U1 (initial velocity of the 3 billiard ball) = 4.0m/s

    M2 (mass of the cue ball) = 0.17kg

    U1 (initial velocity of the cue ball) = 0m/s

    Final velocities of both the cue ball and 3 billiard ball after collision = ?

    According to the principle of conservation of linear momentum, total momenta before collision = total momenta after collision:

    M1U1 + M2U2 = (M1+M2) V

    0.16*4.0 + 0.17 * 0 = (0.16 + 0.17) V

    0.64 + 0 = 0.33V

    V = 0.64/0.33 = 1.9394m/s
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