a 50.0kg bicyclist on a 10.0kg bicycle speeds up from a 5.00m/s to 10.0m/s

Question

a 50.0kg bicyclist on a 10.0kg bicycle speeds up from a 5.00m/s to 10.0m/s

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Maris 1 month 2021-08-31T12:20:51+00:00 1 Answers 0 views 0

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    2021-08-31T12:21:53+00:00

    Answer:

    1. The total kinetic energy before accelerating = 750 J
    2. The total kinetic energy after accelerating = 3,000 J
    3. Total work done = 2,250 J

    Explanation:

    Given:

    Mass of bicyclist = 50 kg

    Mass of bicycle = 10 kg

    Initial velocity (u) = 5 m/s

    Final velocity (v) = 10 m/s

    Find:

    (a) What was the total kinetic energy before accelerating = ?

    (b) What was the total kinetic energy after accelerating = ?

    (c) How much work was done to increase the kinetic energy of the bicyclist = ?

    Computation:

    Total mass (M) = 50 kg + 10 kg = 60 kg

    1. The total kinetic energy before accelerating = 1/2[Mu²]

    The total kinetic energy before accelerating = 0.5[(60)(5)²]

    The total kinetic energy before accelerating = 750 J

    2. The total kinetic energy after accelerating = 1/2[Mv²]

    The total kinetic energy after accelerating = 0.5[(60)(10)²]

    The total kinetic energy after accelerating = 3,000 J

    3. Total work done = Δ K.E

    Total work done = 3,000 J – 750 J

    Total work done = 2,250 J

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