**Part (a)**

Pressure increases with depth.

The pressure is directly proportional to depth, h.

The gauge pressure, P_{g} = hρg

A person is diving in a lake in the depth of h = 9.5 m. The density of the water is ρ = 1.0×10^{3} kg/m^{3}. The pressure of the atmosphere is P_{0} = 1.0×10^{5} Pa. The surface area of the top of the person’s head is A = 0.0335 m^{2}.

Part (a) Express the absolute pressure at the depth of h, P, in terms of P_{0}, p 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

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Pressure concept. You can view video lessons to learn Intro to Pressure. Or if you need more Intro to Pressure practice, you can also practice Intro to Pressure practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Gabryszewska-Kukawa's class at CNM.