- #1

- 10

- 0

## Homework Statement

Pressure(water)~density(water)xg(grav. accel.)xz(depth)

## Homework Equations

## The Attempt at a Solution

basically i'm doing a fermi problem regarding the pressure of water on Jupiter's moon Europa.

Now i tried coming up with the equation for pressure my self by pressure ~ densityxgxmxz because i had figured the mass of the water would matter. so

[M]^1[L]^(-1)[T]^(-1)=[MxL^(-3)]^x [LxT^(-2)]^y [M]^w [L]^z

and so we get that y = 1 and the equations we are left with are -2=-3x+z and 1=x+w. And so i need to get another approach to pressure that would include density and mass so i could get a relationship between x and w; or maybe a different relationship so i could get a value for z. At this point im stuck, from the Dim. analysis that i wrote in criteria 1(from the book) it seems i need to show that pressure is not dependent on mass.

Thanks in advance