# 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
M*g*mus

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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