A road safety problem. A corner in a flat road has a constant radius of r = 25 \text{ m}r=25 m. Air resistance and rolling resistance are zero. (Hey, I want a car like that!), and the car is travelling at constant speed.

What is the maximum speed our car can go round this corner without skidding? For a reasonably clean, dry road, take the coefficients of static and kinetic friction to be mu{s} = 1.0μs=1.0 and mu{k} = 0.80μk=0.80.