Imagine that a 1200 kg vehicle speeds up from rest to 20.0 m/s in 80 m. How much work was done on the car? (Answer in 3 sig figs)

Question

Imagine that a 1200 kg vehicle speeds up from rest to 20.0 m/s in 80 m.
How much work was done on the car? (Answer in 3 sig figs)

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Thanh Thu 4 years 2021-08-15T16:24:11+00:00 1 Answers 12 views 0

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  1. minhkhoi
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    2021-08-15T16:25:45+00:00
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    Correct question:

    Imagine that a 1200 kg vehicle speeds up from rest to 20.0 m/s in 80 s.

    How much work was done on the car? (Answer in 3 sig figs)

    Answer:

    the work done on the vehicle is 2.40 x 10⁵ J

    Explanation:

    Given;

    mass of the vehicle, m = 1200 kg

    initial velocity of the vehicle, u = 0

    final velocity of the vehicle, v = 20 m/s

    time of motion of the vehicle, t = 80 s

    The distance moved by the vehicle is calculated as;

    s = (\frac{v + u}{2} )t\\\\s = (\frac{20+ 0}{2} )(80)\\\\s = 800 \ m

    The force applied to the vehicle is calculated as;

    F = ma = \frac{m v}{t} = \frac{1200 \times 20}{80} = 300 \ N\\\\

    The work done on the vehicle is calculated as;

    W = F x d

    W = 300 x 800

    W = 2.4 x 10⁵ J.

    Therefore, the work done on the vehicle is 2.40 x 10⁵ J

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