Question

A car is moving at a speed of 25 m/sec around a level curve of radius 100 m. What is the minimum value of the coefficient of static friction between the tires and the road required to prevent the car from skidding?

Answer 1

The car will move without skidding when

$$F=\frac{mv^2}{R}\leq\mu_s mg$$

Hence, the minimum value of the coefficient of static friction between the tires and the road

$$\mu_s=\frac{v^2}{gR}=\frac{25^2}{9.8*100}=0.64$$