Question

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?

Answers

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.
Thank you very much!
no the car will not skid.

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