Respuesta :
Answer:
The answer is: Pressure increases linearly with the depth
Explanation:
In this case, the definition of pressure is:
[tex]P = \frac{F}{A}[/tex]
where F = mg is the weight of the fluid over the body, and A is the area of the surface to which the force is exerted. If we consider [tex]\rho = m/V[/tex], then
[tex]P = \frac{mg}{A} = \frac{\rho Vg}{A}[/tex].
Volume can be expressed as V = A*h, where A is the cross section of the column of the fluid over the body and h is the height of the column, in other words, the depth.
So
[tex]P = \frac{A\rho gh}{A}= \rho g h[/tex],
which means that pressure increases linearly with the depth in a factor of [tex]\rho g[/tex].
