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Homework Help: Potential energy of a fluid

  1. May 11, 2014 #1
    I got a quick question regarding the potential energy of a fluid (see picture). If I want to express the potential energy of a fluid (with a given volume) above the reference line x, using nothing but the given variables/constants, would this be the correct way to do so?

    picture
     
  2. jcsd
  3. May 11, 2014 #2
    Without doing any calculus, the gravitational potential energy of a mass from a distance from x to it's center of mass= h is:
    U = mgh
    = (ρAs)(g)(s/2)
    = 1/2ρAgs2
    = 1/2ρAg(y-h)2

    Which gives the same answer.
     
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