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Roller Coaster Friction Problem

  • Thread starter alexcc17
  • Start date
  • #1
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Homework Statement




A roller coaster begins with a 90m hill followed by a 40m diameter loop. Unfortunately, the coaster hits a 20m long rough patch between the bottom of the hill and the loop. If the friction on the rough patch is .8, then can a roller coaster make it through the loop?


Homework Equations





The Attempt at a Solution


I found that the centripetal acceleration is 9G's and that the weight a person would feel would be 10G's, but I don't know the equation I would use and how to factor in friction.
 

Answers and Replies

  • #2
1,065
10
The concept of the problem is about conservation of energy.
Taking ground as zero reference of PE.
PE at 90m surely can make a loop of height 90m.
You have to calculate if the extra energy going for 40m loop is exceeding the energy use by frictional force for the given distance.
 
  • #3
48
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Do you know the equation?
 
  • #4
PhanthomJay
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That's quite a coaster you got there with 10 g's at the bottom of the loop....without friction. Are you familiar with work-energy methods and minimum speed required at the top of the loop to make it through the loop?
 
  • #5
48
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Afraid not
 

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