Find the potential of a fluid with varying density

AI Thread Summary
The discussion revolves around calculating the potential of a fluid with a density that varies with height, defined by the equation ρ = a(H-z²) + 1.5 kg/m³, within a specified cylinder. Participants express confusion about the term "Find the potential," questioning whether it refers to gravitational potential energy or another form of potential. The applicability of the Bernoulli equation is also debated, as it typically pertains to flowing fluids. The original poster admits to struggling with fluid dynamics problems and seeks clarification on the concept. Overall, the thread highlights the complexities of fluid potential calculations and the need for clearer definitions in physics problems.
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Homework Statement



Find the potential of a fluid whose density varies with height according to this relation: ρ = a (H-z2) + 1.5 kg/m3 being H=20m, 15m <= z <= 20m, Mtotal= 200kg. The fluid is inside a cylinder of radius = 2m and height = 5m.


Homework Equations


Bernoulli equation?

The Attempt at a Solution


I seriously have no idea how to solve it since the density varies, I'm not good with fluids problems :D

I've attached the image of the problem.
 

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I'm sorry, I might not be able to help, but I'm just curious... What do you mean by "Find the potential"? Are you talking about Gravitational Potential Energy? Or some other potential energy? Or something else?
 
The Bernoulli equation will apply only to fluids which are flowing.
 
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