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23 April, 06:19

A child is riding a bike at a speed of 0.6m/s with a total kinetic energy of 12.4J. If the mass of the child is 30kg, what is the mass of the bike?

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Answers (2)
  1. 23 April, 06:36
    0
    Ek=kinetic energy (J)

    m=mass of object (Kg)

    v=speed of object (m/s)

    We have the following formula:

    Ek = (1/2) mv² ⇒ m=2 (Ek) / v²

    In this case:

    m = mass of the child + mass of the bike

    m=30 kg + m₁ (m₁=mass of the bike).

    We would have to modify our formula like this:

    m=2 (Ek) / v²

    m=30 kg + m₁

    30 kg + m₁=2 (Ek) / v²

    m₁=2 (Ek) / v²-30 kg

    We have the following dа ta:

    v=0.6 m/s

    Ek=12.4J

    m=30 Kg + m₁

    Therefore:

    m₁=2 (Ek) / v² - 30 kg

    m₁=2 (12.4 J) / (0.6 m/s) ² - 30 kg

    m₁=24.8 J / (0.36 m²/s²) - 30 kg

    m₁=68.89 Kg - 30 kg

    m₁=38.89 Kg

    Answer: the mass of the bike is 38.89 Kg.
  2. 23 April, 06:46
    0
    The mass of the bike is 38.89 Kg.
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