A car travels with a speed v on a horizontal circular highway turn of radius is R = 100. Suppose the height of the car’s center of mass above the ground is h = 1 m, and the separation among its inner and outer wheels (that is, car's width) is w = 2 m. The car doesn’t skid (static friction works among tires and road surface).
Determine with what maximum speed (in mph) can the car negotiate the turn with devoid of losing equilibrium and beginning to overturn? Use g = 10 m/s^2.