Calculating Minimum Speed at Top of Vertical Loop

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SUMMARY

The discussion focuses on calculating the maximum energy loss due to friction for a 330 kg roller coaster car traversing a vertical loop with a radius of 6.85 m and an initial speed of 23.4 m/s. To determine the minimum speed required at the top of the loop, participants emphasize the importance of the normal force exerted by the track. The work-energy theorem is highlighted as a crucial concept for solving the problem, providing a framework to analyze energy transformations and frictional losses.

PREREQUISITES
  • Understanding of the work-energy theorem
  • Knowledge of normal force dynamics in circular motion
  • Familiarity with basic physics concepts such as mass, speed, and energy
  • Ability to apply equations of motion in a vertical loop context
NEXT STEPS
  • Study the work-energy theorem in detail
  • Learn about the dynamics of circular motion and normal force calculations
  • Explore energy loss due to friction in mechanical systems
  • Practice problems involving roller coaster physics and energy conservation
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of roller coasters and energy dynamics in circular motion.

SamLing2000
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Homework Statement


A 330 kg roller coaster car sits on a horizontal track. Ahead of it is a vertical loop with radius of 6.85 m. The car is given an initial speed of 23.4 m/s and the car successfully traverses the loop. What is the maximum amount of energy taken away from the car by friction so that the car successfully travels through the loop? (Hint: think about the normal force that the track exerts on the car at the top of the loop, this should give you a minimum speed at the top of the loop.)

m=330
vo = 23.4
r=6.85

Homework Equations


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The Attempt at a Solution


??
I am sorry but I have no clue as to how to approach this problem. Please point me in the right direction, hints and suggestions are extremely welcome.
I also find a Hint for the problem but i wasn't able to make as much use of this one as I thought.
(Hint: think about the normal force that the track exerts on the car at the top of the loop, this should give you a minimum speed at the top of the loop
 
Last edited:
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Any help is appreicated.
 
Have you learned about work-energy theorem?
 

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