A special electronic sensor is embedded in the seat of a car that takes riders a

Question

A special electronic sensor is embedded in the seat of a car that takes riders around a circular loop-the-loop ride at an amusement park.  The sensor measures the magnitude of the normal force that the seat exerts on a rider.  The loop-the-loop ride is in the vertical plane and its radius is 21m.  Sitting on the seat before the ride starts, a rider is level and stationary, and the electronic sensor reads 770N.  At the top of the loop, the rider is upside down and moving, and the sensor reads 350N.  What s the speed of the rider at the top of the loop?

Explanation / Answer

r = 21 m, weight w = 770 N, normal force N = 350 N, find v w - N = mv2/r m = w/g w - N = wv2/(gr) v = [gr(1 - N/w)] = 10.6 m/s

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