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Conservative Force

  1. Apr 3, 2015 #1
    1. The problem statement, all variables and given/known data
    A force F=(xy)i+(2*y^2)j,an object (mass=m) is move from (0,0) to (1,3) along y=3x , how much work does F do? Is F a conservative force?

    2. Relevant equations

    3. The attempt at a solution

    Can I do it on the two axes?I mean ∫Fdx+∫Fdy , and because the work differ from the different road I take , F isn't a conservative force.
    ∫x*ydx=∫x*(3x)dx=1/3
    ∫2*y^2dy=36
     
  2. jcsd
  3. Apr 3, 2015 #2
    If F be a conservative force yo can get work ∫Fdx+∫Fdy
     
  4. Apr 3, 2015 #3
    Do I have to do ∫F⋅dr , where r=(1,3)/√10 ?
     
  5. Apr 3, 2015 #4
    You can calculate curl of F if it will be zero F is conservative otherwise it isn't.

    Path is clear and work is ∫F.dr, dr=dTI+3dtj and 0<t<1 whatever F be a conservative force or not.
     
  6. Apr 3, 2015 #5
    Correction: 'dr=dti+3dtj'
     
  7. Apr 3, 2015 #6
    I forgot tell you which x=t and y= 3t in above integral.
     
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