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Loop the Looop Roller Coaster

  1. May 2, 2012 #1
    1. The problem statement, all variables and given/known data
    A roller coaster is moving past the top of a loop of diameter 14m. The Normal force (directed downwards) provided by the track at the top of the loop is equal to one-half the weight of the car. What is the speed of the coaster car at this point?


    2. Relevant equations

    Only the diameter is given.

    3. The attempt at a solution
    Fc = Fg+Fn
    → mv2/r = mg + .5(mg)

    and then minimum speed to go in a circle is sqrt(gr) but that wont work cause in order for that to happen Fn has to be 0 but here is half Fg. i believe the answer is 10.12m/s
     
    Last edited: May 2, 2012
  2. jcsd
  3. May 2, 2012 #2
    Help ASAP
     
  4. May 2, 2012 #3

    PhanthomJay

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    Your math is off a bit, and round it off to 10.1m/s
     
  5. May 3, 2012 #4
    thanks soo much
     
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