Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, the first hav

Question

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 138000 kg and a velocity of 0.288 m/s, and the second having a mass of 123000 kg and a velocity of -0.131 m/s. (The minus indicates direction of motion.) What is their final velocity

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Ladonna 5 years 2021-07-30T20:18:56+00:00 1 Answers 18 views 0

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  1. Orla
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    2021-07-30T20:20:41+00:00
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    Answer:

    their final velocity is 0.091 m/s

    Explanation:

    Given;

    mass of the first train, m₁ = 138,000 kg

    mass of the second train, m₂ = 123,000 kg

    initial velocity of the first train, u₁ = 0.288 m/s

    initial velocity of the seocnd train, u₂ = -0.131 m/s (opposite direction to the first)

    Let their common final velocity after been coupled = v

    Apply the principle of conservation of linear momentum;

    m₁u₁  +  m₂u₂ = v(m₁  +  m₂)

    (138,000 x 0.288)    +    (-0.131 x 123,000)   =   v(138,000 + 123,000)

    39,744   –   16,113   =  v(261,000)

    23,631 = v(261,000)

    v = 23,631 / 261,000

    v = 0.091 m/s

    Therefore, their final velocity is 0.091 m/s

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