In the figure, a car is driven at constant speed over a circular hill and then i

Question

In the figure, a car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the hill, the normal force on the driver from the car seat is 0. The driver's mass is 93.0 kg. What is the magnitude of the normal force on the driver from the seat when the car passes through the bottom of the valley?

In the figure, a car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the hill, the normal force on the driver from the car seat is 0. The driver's mass is 93.0 kg. What is the magnitude of the normal force on the driver from the seat when the car passes through the bottom of the valley?

Explanation / Answer

mg=(mv^2)/r
v^2=gr

At the bottom of the valley
N-mg=(mv^2)/r
N-mg=(m(gr))/r
N=2mg
N=2*93*9.81
N= 1824.66 N

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