Abbey and Mia are in the basement playing pool. On Abbey’s recent shot, the cue ball was moving east at 82 cm/s when it struck the slower 5-

Question

Abbey and Mia are in the basement playing pool. On Abbey’s recent shot, the cue ball was moving east at 82 cm/s when it struck the slower 5-ball moving in the same direction at 24 cm/s. The 5-ball immediately speeds up to 52 cm/s. Determine the post-collision speed of the cue ball.

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Thành Đạt 4 years 2021-08-12T09:52:55+00:00 1 Answers 18 views 0

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  1. Philomena
    0
    2021-08-12T09:54:37+00:00
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    Answer:

    v₁ = 54 cm/s

    Explanation:

    This question can be solved using the law of conservation of momentum:

    m_1u_1+m_2u_2=m_1v_1+m_2v_2

    where,

    m₁ = m₂ = m = mass of both balls

    u₁ = pre-collision speed of cue ball = 82 cm/s

    u₂ = pre-collision speed of 5-ball = 24 cm/s

    v₁ = post-collision speed of cue ball = ?

    v₂ = post-collision speed of 5-ball = 52 cm/s

    Therefore,

    m(82\ cm/s)+m(24\ cm/s)=m(v_1)+m(52\ cm/s)\\v_1 = 82\ cm/s + 24\ cm/s - 52\ cm/s\\

    v₁ = 54 cm/s

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