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42.) A special electronic sensor is embedded in the seat of a car that takes rid

ID: 1688881 • Letter: 4

Question

42.) A special electronic sensor is embedded in the seat of a car that takes riders around a circular loop-the-loop 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 22 m. Sitting on the seat before the ride starts, a rider is level and stationary, and the electronic sensor reads 810 N. At the top of the loop, the rider is upside-down and moving, and the sensor reads 350 N. What is the speed of the rider at the top of the loop?

Explanation / Answer

fn =fc+fg


380 =mv^2/r -710


m*9.81 =710

m=72.38kg


72.38 8 v^2/25 = 380+710


v^2 = 376.485


v= 19.4 m/s

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