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13 May, 09:12

Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, the first having a mass of 150,000 kg and a velocity of 0.300 m/s, and the second having a mass of 95,000 kg and a velocity of - 0.120 m/s. (The minus indicates direction of motion.) What is their final velocity?

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  1. 13 May, 10:50
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    Answer: 0.137 m/s

    Explanation:

    from the question we are given the following

    mass of train A (Ma) = 150,000 kg

    velocity of train A (Va) = 0.3 m/s

    mass of train B (Mb) = 95,000 kg

    velocity of train B (Vb) = - 0.12 m/s

    final velocity (V) = ?

    mass of both trains = 245,000 kg

    to solve this question we apply the conservation of momentum

    MaVa + MbVb = (Ma + Mb) x V

    V = (MaVa + MbVb) / (Ma + Mb)

    V = ((150,000 x 0.3) + (95,000 x (-0.12))) / (245,000)

    V = - 33600 / 245,000

    V = 0.137 m/s
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