A special electronic sensor is embedded in the seat of a car thattakes riders ar

Question

A special electronic sensor is embedded in the seat of a car thattakes riders around a circular loop-the-loop ride at an amusementpark. The sensor measures the magnitude of the normal force thatthe seat exerts on a rider. The loop-the-loop ride is in thevertical plane and its radius is 16 m. Sitting on the seat before the ridestarts, a rider is level and stationary, and the electronic sensorreads 740 N. At the top of theloop, the rider is upside down and moving, and the sensorreads 420 N. What is the speed(in m/s) of the rider at the top of the loop?

Explanation / Answer

the 740 newtons is the weight of the rider. . At the top of the loop... .           normal force + weight = m v2 /r .           n   + W = (W/g) v2 / r .           n +W = W v2 / g r .           420 +740   =   740 * v2 / 9.80 * 16 . solve     v =   15.68m/s

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