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Homework Help: Finding force vector fields for 3 dimensional potential energy fields

  1. Oct 16, 2011 #1
    1. The problem statement, all variables and given/known data
    Find the force vector fields (in terms of x, y, z, and any constants) for each of the following 3-dimensional potential energy fields

    Question B:
    Assume SI units for force, energy, and lengths x, y, z: What must be the units of each of the constants?

    2. Relevant equations
    a) V(x,y,z) = a(xyz) + C
    b) V(x,y,z) = αx² + βy² + ɣz² + D
    c) V(x,y,z) = b e –( σx +ϑy + ρz)

    3. The attempt at a solution
    I honestly don't even know where to begin with this. I can't find anything about it in my book, nor does google give me any tips. Could someone describe how to treat such a question?
     
  2. jcsd
  3. Oct 16, 2011 #2

    SammyS

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    [itex]\vec{F}(x,y,z)=-\vec{\nabla}V(x,y,z)[/itex]
     
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