This physics video tutorial explains how to calculate the normal force at the bottom and at the top of the hill given the speed and radius of the circular hill. This video provides the free body diagram needed to derive the formulas to calculate the normal force at those positions. In addition, this tutorial discusses how to find the minimum speed that a roller coaster must have so passengers don’t fall out and the maximum speed an object can travel on top of a hill without losing contact with the surface. The normal force provides the centripetal force in these problems. This video contains plenty of examples and vertical circular motion practice problems.
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