A car of mass m is rolling over the top of a hill, allowing you to determine the magnitude of the normal force N on the car. The car is moving at a constant speed v as shown. The gravitational acceleration is represented by g and R is the radius of the hill. Draw a free-body diagram and apply Newton's second law to determine the magnitude of N. All symbols represent magnitudes only. (Hint: Pay attention to the directions of individual forces.)
N + mg = mv^2/R
N = mv^2/R
N - mg = -mv^2/R
N = mg
N - mg = mv^2/R
N - mg = -mv^2/R