Pressure increases with depth.
The pressure is directly proportional to depth, h.
The gauge pressure, Pg = hρg
A person is diving in a lake in the depth of h = 9.5 m. The density of the water is ρ = 1.0×103 kg/m3. The pressure of the atmosphere is P0 = 1.0×105 Pa. The surface area of the top of the person’s head is A = 0.0335 m2.
Part (a) Express the absolute pressure at the depth of h, P, in terms of P0, 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
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