Consider a small car of mass 1200 kg and a large sport utility vehicle (SUV) of mass 4000 kg. The SUV is traveling at the speed limit (v ???

Question

Consider a small car of mass 1200 kg and a large sport utility vehicle (SUV) of mass 4000 kg. The SUV is traveling at the speed limit (v ???? 35 m/s). The driver of the small car travels so as to have the same kinetic energy as the SUV. Find the speed of the small car.

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Adela 2 months 2021-07-28T08:41:44+00:00 1 Answers 2 views 0

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    2021-07-28T08:43:08+00:00

    Answer:

    63.9 m/s

    Explanation:

    Parameters given:

    Mass of small car, m = 1200 kg

    Mass of SUV, M = 4000 kg

    Speed of SUV, V = 35 m/s

    Their kinetic energy of the small car is equal to the kinetic energy of the SUV, hence:

    0.5 * m * v² = 0.5 * M * V²

    => 0.5 * 1200 * v² = 0.5 * 4000 * 35²

    600 * v² = 2450000

    v² = 2450000/600

    v² = 4083.3

    => v = 63.9 m/s

    The speed of the small car is 63.9 m/s.

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