A roller-coaster car (m=60 kg) is released from rest at a height h= equals 75 m above the ground in slides down a frictionless track. The car encounters a loop of radius R= 25.0 m.    A) Find the kinetic energy for the car at the top of the loop.   B) In your written work, draw a free body diagram for the car when it is at the top of the loop (note that the car travels on the inside of the loop and it’s upside down at the top). Determine the normal force on the car at this point.   C) What is the minimum height, h, from which the car can be released and still maintain contact with the track at the top of the loop?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 82P: A roller-coaster car shown in Figure P7.82 is released from rest from a height h and then moves...
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A roller-coaster car (m=60 kg) is released from rest at a height h= equals 75 m above the ground in slides down a frictionless track. The car encounters a loop of radius R= 25.0 m. 

 

A) Find the kinetic energy for the car at the top of the loop.

 

B) In your written work, draw a free body diagram for the car when it is at the top of the loop (note that the car travels on the inside of the loop and it’s upside down at the top). Determine the normal force on the car at this point.

 

C) What is the minimum height, h, from which the car can be released and still maintain contact with the track at the top of the loop?

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