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Motion rectiliniar coord

  1. Apr 8, 2009 #1
    1. The problem statement, all variables and given/known data
    A 400kg mine car is hoisted up the incline (8,15,17 Triangle which i calculated the angle to be 28.0724 degrees)using a cable and motor. For a short time, the force in the cable is F=3200t^2 N, where t is in seconds. If the car has an initial velocity v=2 m/s @ t=0, determine its velocity @ t=2.


    2. Relevant equations

    F=ma

    3. The attempt at a solution

    Since there is no friction i belive that the Y forces dont matter nore does the Normal.
    So I sumed the forces in the x direction which is parallel to the slope of the hill.

    E F(x)=F-mgsin(theta)=ma i got a=8t^2 - 4.616...

    i then integrated a to get v=8/3 t^3 - 4.616t+c c= 2. pluged in t=2 and got v=14.10 m/s


    is this correct
     
  2. jcsd
  3. Apr 8, 2009 #2
    looks correct....
     
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