A car with a mass of 922 kg rounds the top of the hill at a speed of 10 m/s. The friction between the wheels and the road is negligible and the radius of curvature for the hill is 32 m. A. Draw the force diagram and write down a Newton’s 2nd law equation for the car when it is at the top of the hill. B. Find the magnitude of the normal force on the car when it rounds the hill at this speed. C. What is the maximum speed at which the car could round this hill without losing contact with the road?

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!