Accelerometer with Parabolic Track · CAP 2009 #5

Physics · mechanics

Problem

The figure shows an accelerometer: a device for measuring the horizontal acceleration of cars and airplanes. The device consists of a ball that is free to roll on a parabolic track. A scale along the bottom is used to measure the ball's horizontal position x. What is the acceleration of the car in m/s² when the displacement of the ball in the accelerometer equals 0.20 m? (a) 3.9 (b) 3.6 (c) 26.5 (d) 24.5 (e) 9.1

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