# Problem: A person diving in a lake in the depth of h= 9.5 m. The density of the water is q = 1.0 x 103 kg/m3. The pressure of the atmosphere is P0 = 1.0 x 105 Pa. The surface area of the top of the person's head is A = 0.036 m2.Part (a) Express the absolute pressure at the depth of h , P, in terms of Po, Q, and h Part (b) Calculate the numerical value of P in PaPart (c) Express the magnitude of the force exerted by water on the top of the person's head F at the depth h in terms of P and APart (d) Calculate the numerical value of F in N

###### FREE Expert Solution

Pressure in fluids:

$\overline{){\mathbf{P}}{\mathbf{=}}{\mathbf{h}}{\mathbf{\rho }}{\mathbf{g}}}$

Where h is the height of the fluid, ρ is the density of the fluid and g is the acceleration due to gravity.

Pressure:

$\overline{){\mathbf{P}}{\mathbf{=}}\frac{\mathbf{F}}{\mathbf{A}}}$ ###### Problem Details

A person diving in a lake in the depth of h= 9.5 m. The density of the water is q = 1.0 x 103 kg/m3. The pressure of the atmosphere is P= 1.0 x 105 Pa. The surface area of the top of the person's head is A = 0.036 m2.

Part (a) Express the absolute pressure at the depth of h , P, in terms of Po, Q, and h

Part (b) Calculate the numerical value of P in Pa
Part (c) Express the magnitude of the force exerted by water on the top of the person's head F at the depth h in terms of P and A
Part (d) Calculate the numerical value of F in N