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Circular track problem

  1. Dec 3, 2008 #1
    1. The problem statement, all variables and given/known data

    roller coaster traverses a vertical circular track.
    a)what speed must car have to make it over the top w/o leaving the track? assume it is not attached to track.
    b)what will speed be at bottom?
    c)what will normal force on passenger be at the bottom of loop if radius is 14.5m?
    d)at the top?

    2. Relevant equations
    a) EF=ma
    n=0 at top

    3. The attempt at a solution
    a) v=square root of (rg)
    b)1/2mrg+mg(2*3.14) =2.5mgr
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Dec 3, 2008 #2


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    Homework Helper

    Hi dr2112,

    The first term (1/2 mrg) looks right for the kinetic energy at the high point. What do the other two terms represent, and how did you get those numeric values?

    Do the same thing for part c that you did in part a--use newton's law for the forces.

    You've already answered this in the working for part a.
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