A person is diving in a lake in the depth of h = 10.5 m. The density of the water is ρ = 1.0 x103 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 = 0.0335 m2. a. Express the absolute pressure at the depth of h, P, in terms of P0, ρ, 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 and A. d. Calculate the numerical value of F in N.
A person is diving in a lake in the depth of h = 10.5 m. The density of the water is ρ = 1.0 x103 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 = 0.0335 m2. a. Express the absolute pressure at the depth of h, P, in terms of P0, ρ, 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 and A. d. Calculate the numerical value of F in N.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 51PQ
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A person is diving in a lake in the depth of h = 10.5 m. The density of the water is ρ = 1.0 x103 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 = 0.0335 m2.
a. Express the absolute pressure at the depth of h, P, in terms of P0, ρ, 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 and A.
d. Calculate the numerical value of F in N.
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