In class, you have seen how to calculate the maximum speed for acar to go around a flat curve (with friction), and for a bankedcurve (without friction). Here, you will consider the general case.(For each question part below, include a free-body diagram.) a) (3points) Explain briefly why the car can go around the banked curvesafely even without friction, and why that is not the case for theflat curve. b) (5 points) Now consider a curve that is banked sothat a car can safely take it at a speed of 85 km/h, even if therewere no friction. Assuming the radius of the curve is 68 m,calculate the angle at which it has been built. c) (6 points) Forthe banked curve, calculate the maximum speed that a car can haveto safely go through it if the coefficient of static friction is0.3. What will happen if the car is faster? d) (6 points) For thesame curve, calculate the minimum speed the car must have to safelymake it through. What will happen if the car is slower?
