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?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 73P: A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point...
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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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