A 3200 kg coaster car rolls along the frictionless track shown. To safely make it through the loop there is a minimum speed the coaster must have at the top of the loop. At this speed the normal force of the track pushing downward on the coaster is zero. The radius of the circular loop is 14.1 meters. At the top of the loop of radius 14.0 m the force of gravity is the only force acting on the coaster. What is the magnitude of the coaster's acceleration at the top of the loop?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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A 3200 kg coaster car rolls along the frictionless track shown. To safely make it through the loop there is a minimum speed the coaster must have at the top of the loop. At this speed the normal force of the track pushing downward on the coaster is zero. The radius of the circular loop is 14.1 meters.

At the top of the loop of radius 14.0 m the force of gravity is the only force acting on the coaster. What is the magnitude of the coaster's acceleration at the top of the loop?

 
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