fundamentals

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Calculate the total constant force needed to accelerate a vehicle with mass 1400kg and tractive resistance of 320N from 19km/h to 95km/h over a distance of 0.8km on a horizontal plane.show working?

  • fundamentals -

    ah...DANNY..we meet again...
    not sure if this is right but i'll take a shot at it...

    1. convert all the info into MKS units (MKS = meters, kilograms, seconds)

    19 km/hr = 5.277 m/s
    95 km/hr = 26.388 m/s
    0.8 km = 800 m

    2. start with this equation:

    vf^2 = vi^2 + 2ad

    then, solve for "a"

    a = (vf^2 - vi^2)/(2d)

    plug in the numbers...

    ((26.388 m/s)^2 - (5.277 m/s)^2)/(2 x 800 m) = 0.4178 m/s^2

    3. then we take care of those vectors...

    Fo - Fe = Fc

    ma - Fe = Fc

    (1400 kg)(0.4178 m/s^2) - (320 N) = 264.92 N
    -----
    remember DANNY.....HERP THE DERP!!!

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