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Displacement from velocity and time dependent force

  1. Sep 30, 2009 #1
    1. The problem statement, all variables and given/known data

    The Force is F(x)=Av2/x. find x(t) if x(0)=0 and vx(0)=0

    2. Relevant equations



    3. The attempt at a solution
    My issue is that i set this up as mdv/dt=F but when i try to separate the variables i don't know what to do about the v since it depends on x. any suggestions?
     
  2. jcsd
  3. Sep 30, 2009 #2

    tiny-tim

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    Hi briteliner! :smile:

    Standard trick …

    dv/dt = dv/dx dx/dt (chain rule) = v dv/dx :wink:
     
  4. Sep 30, 2009 #3
    okay, so i do that.. and i get that (mv)dv/dx-kx(dv/dx)=0. can i cancel the dv/dx?
     
  5. Sep 30, 2009 #4

    tiny-tim

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    uhh? :redface: have you changed the question? :confused:
     
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