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 23 m. Sitting on the seat before the ride starts, a rider is level and stationary, and the electronic sensor reads 760 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

Answer 1

18.15 m/s

Step-by-step explanation:

Radius of the loop, R = 23 m.

Weight of the rider, w= 760 N.

Mass of the rider, m = w/g = 77.5 kg

Apparent weight at the top of the loop is 350 N.

At the top:

`w+F_n=\frac {mv^2}{R}`

`760+350=(77.5v^2)/(23)\\v^2=329.4\\v=18.15 m/s`