A person is diving in a lake in the depth of h = 5.5 m. The density of the water is rho = 1.0 x10^3 kg/m^3. The pressure of the atmosphere is P0 = 1.0 x 10^5 Pa. The surface area of the top of the person's head is A = 0.046 m^2.
(a) Express the absolute pressure at the depth of h, P, in terms of P0, rho, and h.
(b) Calculate the numerical value of P in Pa.
(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.
(d) Calculate the numerical value of F in N.