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## Homework Statement

Consider a stationary fluid (u=0) with constant density and take F= (0,0,-g). Find P(z) which satisfies [tex] P=P_a [/tex] on [tex] z=h_0 [/tex], where z is measured positive upwards. What is the pressure on z=0?

## Homework Equations

Euler's equation: [tex] \frac{Du}{Dt}=-\frac{1}{\rho}\nabla P + F [/tex]

## The Attempt at a Solution

[tex]\frac{1}{\rho}\nabla P = (0,0,-g) [/tex] Gives the answer in the back of the book as:

then [tex] P = P_a + \rho g(h_0-z); P(0) = P_a + \rho g h_0 [/tex]. How did they get this? Thanks