A car moves in a flat, circular path of radius R on a surface with a coefficient of kinetic friction of 0.25 and a coefficient of static friction of 0.35.
(a) Draw a free-body diagram for all forces acting on the car. Include views from the top and the side. Show the direction of the net force on the car.
(b) If the maximum speed the car can have without sliding is 15 m/s, determine the radius of the circular path.
(c) How long does it take the car to complete one orbit?