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Friction on Inclined Plane

  1. Nov 5, 2011 #1
    1. The problem statement, all variables and given/known data
    On Mountain roads, ramps of gravel are constructed to allow trucks that have lost their brakes to come to a stop. Suppose a 15,000kg truck hits one of these ramps at 35m/s. The incline of the ramp is 6 degrees and the coeffiecent of friction is 0.40.
    By using work and energy it is asked to find the distance the truck travels along a ramp.


    2. Relevant equations
    U=m*g*h
    K= 1/2 m*v2
    W=F*d


    3. The attempt at a solution

    I calculated K to be -9187500 and U to be 147150*h
    W= ΔK + ΔU
    Then tired to use W=F*d cos6
    But got stuck with that height.
    I can't use trig fuctions to find my h because the distance is what im trying to find....
     
  2. jcsd
  3. Nov 5, 2011 #2
    You can use trigonometry to solve for the distance. Recall that [itex] d^{2} = x^{2} + h^{2} [/itex] and that [itex] x = d cos \theta[/itex] [itex]h = d sin \theta [/itex] . Once you find either x or h you can solve for d.
     
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