A car travels at a speed of 30 m/s around a horizontal banked curve of radius 71 m. The acceleration due to gravity is 9.8 m/s2.
(a) If there were no friction between the car's tires and the road.
(i) At what angle should the road be banked for the car to travel without slipping up or down the road?
(ii) What would be the normal force exerted by the banked road on the car.