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Writer's picturekeshprad

PhysicsBowl 2017 Q10


10) The car travels over a hill which we can approximate as a circle. Now, all we need to do is solve for the normal force. First, we can draw a force diagram to visualize this situation.

Where F[g] is gravitational force, and N is normal force

Since the problem specifies that the hill can be approximated as a circle, the net force towards the center of the circular hill is equal to the centripetal force. If we take the direction towards the center of the circular hill as positive, we can set up a series of equations to solve the problem.

Where F[net] is the net force acting on the car, F[g] is gravitational force, N is normal force, F[c] is centripetal force, m is mass, g is acceleration due to gravity, v is velocity, and r is radius of hill

Answer: B

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