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college physics

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A car travels around a circle with a diameter of 500 m at a constant speed of 25 m/s. The static friction coefficient is 0.3 and the kinetic friction coefficient is 0.2. Will the car skid?

  • college physics -

    Use the static coefficien, mus, to determine if it will skid. The centripetal force needed to keep from skidding is
    M V^2/R. The maximum friction force available is

    Compare V^2/R to g*mus

    V^2/R = 25^2/250 = 2.5 m/s^2
    g*mus = 9.8*0.3 = 2.94 m/s^2

    So it won't skid.

  • college physics -

    Thank you very much!

  • college physics -

    no the car will not skid.

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