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chimmy48
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Homework Statement
At a particular point in the Pacific Ocean, the density of sea water increases non-linearly with depth according to p = p_o + m*z^2
where p_o is the density at the surface, z is the depth below the surface, and m is a constant. Develop an algebraic equation for the relationship between pressure and depth.
p(represents density, not pressure), P represents pressure.
NB: ^ represents to the power of... (eg z^2 is z squared)
Homework Equations
p = p_o + m*z^z ...(1)
The Attempt at a Solution
P = p_o*gz;
p_o = P/gz;
then From (1):
p = (P/gz) + m*z^2
but p = m/v so
m/v = (P/gz) + m*z^2
mgz(1/v - z^2) = P
but F = mg
so
Fz(1/v - z^2) = P
I know this is wrong but i really need help!