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Hilly road

  1. Sep 30, 2007 #1
    1. The problem statement, all variables and given/known data
    A car with a mass of 1190 kg is traveling in a mountainous area with a constant speed of 78.2 km/h. The road is horizontal and flat at point A, horizontal and curved at points B and C. The radii of curvatures at B and C are: rB = 155 m and rC = 120 m.

    Calculate the normal force exerted by the road on the car at point B.


    2. Relevant equations
    Forces...
    x = f = mv^2/r
    y = -mg + n = 0

    3. The attempt at a solution
    If n = mg then where does the radius come into play? I must have something set up wrong in the forces but I don't know what.
     
  2. jcsd
  3. Sep 30, 2007 #2

    learningphysics

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    Homework Helper

    I think the curves are supposed to be the tops of hills right?

    So N - mg = mv^2/r (during a valley because the center of curvature is towards the top)

    mg - N = mv^2/r (during a hill because the center of curvature is towards the bottom)
     
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