You are a civil engineer designing a road that has a speed limit of 100 kilometer per hour. There is curve on road with a radius of 150 meter.
(a) Find what should be the minimum value of the coefficient of static friction between the road and the tires that allows cars to turn safely at the speed limit?
(b) Find what is the proper banking angle so that cars, moving at the speed limit, can turn the curve safely even in extreme weather conditions where the road is practically frictionless?