What is the speed of a 200-kilogram car that is driving with 2000 joules of kinetic energy? (SHOW ALL WORK)

Question

What is the speed of a 200-kilogram car that is driving with 2000 joules of kinetic energy? (SHOW ALL WORK)

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Mít Mít 5 years 2021-09-02T20:24:32+00:00 1 Answers 7 views 0

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  1. quangkhai
    0
    2021-09-02T20:26:07+00:00
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    Answer:

    v ≈ 4.47

    Explanation:

    The Formula needed = KE = \frac{1}{2} m v²

    Substitute with numbers known:

    2000J = \frac{1}{2} × 200kg × v²

    Simplify:

    ÷100       ÷100      (Divide by 100 on both sides)

    2000J = 100 × v²

    \frac{2000J}{100} =  v²

    20 = v²

    √         √             (Square root on both sides)

    √20 = √v²

    4.472135955 = v (Round to whatever the question asks)

    v ≈ 4.47       (I rounded to 2 decimal places or 3 significant figures, as that is what it usually is)

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