Physics for Scientists and Engineers: Foundations and Connections
15th Edition
ISBN: 9781305289963
Author: Debora M. Katz
Publisher: Cengage Custom Learning
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Chapter 15, Problem 71PQ
The density of air in the Earth’s atmosphere decreases according to the function
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A 1800 N balloon is filled with 2800m^3 of hydrogen having a specific weight of 1.5 N/m^3
A. What lift does the balloon exert at the earth surface? Unit weight of air is 12.50 N/m^3.
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C. What lift does the balloon exert at an elevation of 16km, assuming that the volume has increased 10%? Unit weight of Air is 2.50 N/m^3.
A person is diving in a lake in the depth of h = 9.5 m. The density of the water is rho = 1.0 x10^3 kg/m3. 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 = 0.0385 m^2. (a) Express the absolute pressure at the depth of h, P, in terms of P0, ?, and h.(b) Calculate the numerical value of P in Pa. (c) Express the magnitude of the force exerted by water on the person's head F at the depth h in terms of P and A.
(d) Calculate the numerical value of F in N.
What is the pressure of the seawater (density=ρ=1.03 EXP3 kg/m3 read: kilogram per cubic meter) on a scuba diver when she is 15 m below the surface of the sea?
A. 1.10 EXP 3 Pa
B. 1.51 EXP 5 Pa
C. 3.20 EXP 6 Pa
D. 3.72 EXP 7 Pa
Chapter 15 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 15.1 - Imagine an airplane flying at constant velocity....Ch. 15.3 - Prob. 15.2CECh. 15.3 - Prob. 15.3CECh. 15.3 - Prob. 15.4CECh. 15.4 - Prob. 15.5CECh. 15.4 - Prob. 15.6CECh. 15 - Prob. 1PQCh. 15 - Prob. 2PQCh. 15 - Dry air is primarily composed of nitrogen. In a...Ch. 15 - Why is the Earths atmosphere denser near sea level...
Ch. 15 - Crater Lake in Oregon is the deepest lake in the...Ch. 15 - Prob. 6PQCh. 15 - Prob. 7PQCh. 15 - One study found that the dives of emperor penguins...Ch. 15 - Prob. 9PQCh. 15 - Prob. 10PQCh. 15 - Suppose you are at the top of Mount Everest and...Ch. 15 - Prob. 12PQCh. 15 - Prob. 13PQCh. 15 - Prob. 14PQCh. 15 - A 20.0-kg child sits on a four-legged stool. The...Ch. 15 - Prob. 16PQCh. 15 - The dolphin tank at an amusement park is...Ch. 15 - Prob. 18PQCh. 15 - A block of an unknown material floats in water...Ch. 15 - Prob. 20PQCh. 15 - Prob. 21PQCh. 15 - A spherical submersible 2.00 m in radius, armed...Ch. 15 - What fraction of an iceberg floating in the ocean...Ch. 15 - Prob. 24PQCh. 15 - A hollow copper (Cu = 8.92 103 kg/m3) spherical...Ch. 15 - Prob. 26PQCh. 15 - You have probably noticed that carrying a person...Ch. 15 - A straw is in a glass of juice. Peter puts his...Ch. 15 - Prob. 29PQCh. 15 - Prob. 30PQCh. 15 - Prob. 31PQCh. 15 - Prob. 32PQCh. 15 - A rectangular block of Styrofoam 25.0 cm in...Ch. 15 - Prob. 34PQCh. 15 - Prob. 35PQCh. 15 - A manometer is shown in Figure P15.36. Rank the...Ch. 15 - The gauge pressure measured on a cars tire is 35...Ch. 15 - Prob. 38PQCh. 15 - Prob. 39PQCh. 15 - To allow a car to slow down or stop, hydraulic...Ch. 15 - Prob. 41PQCh. 15 - Prob. 42PQCh. 15 - Prob. 43PQCh. 15 - Water enters a smooth, horizontal tube with a...Ch. 15 - Prob. 45PQCh. 15 - Prob. 46PQCh. 15 - Prob. 47PQCh. 15 - A fluid flows through a horizontal pipe that...Ch. 15 - Water is flowing through a pipe that has a...Ch. 15 - Prob. 50PQCh. 15 - Prob. 51PQCh. 15 - Figure P15.52 shows a Venturi meter, which may be...Ch. 15 - At a fraternity party, drinking straws have been...Ch. 15 - Liquid toxic waste with a density of 1752 kg/m3 is...Ch. 15 - Water is flowing in the pipe shown in Figure...Ch. 15 - Prob. 56PQCh. 15 - Water flows through a pipe that gradually descends...Ch. 15 - Air flows horizontally with a speed of 108 km/h...Ch. 15 - Prob. 59PQCh. 15 - Prob. 60PQCh. 15 - Prob. 61PQCh. 15 - Prob. 62PQCh. 15 - Prob. 63PQCh. 15 - Prob. 64PQCh. 15 - Prob. 65PQCh. 15 - Prob. 66PQCh. 15 - Prob. 67PQCh. 15 - Prob. 68PQCh. 15 - Prob. 69PQCh. 15 - Prob. 70PQCh. 15 - The density of air in the Earths atmosphere...Ch. 15 - A manometer containing water with one end...Ch. 15 - Prob. 73PQCh. 15 - Prob. 74PQCh. 15 - Prob. 75PQCh. 15 - Prob. 76PQCh. 15 - Prob. 77PQCh. 15 - Case Study Shannon uses the example of a helium...Ch. 15 - Prob. 79PQCh. 15 - Prob. 80PQCh. 15 - A uniform wooden board of length L and mass M is...
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- How many cubic meters of helium are required to lift a light balloon with a 400-kg payload to a height of 8 000 m? Take Hc = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression pair = 0e-z/8 000, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.arrow_forwardA horizontal pipe 10.0 cm in diameter has a smooth reduction to a pipe 5.00 cm in diameter. If the pressure of the water in the larger pipe is 8.00 104 Pa and the pressure in the smaller pipe is 6.00 104 Pa, at what rate does water flow through the pipes?arrow_forwardA manometer containing water with one end connected to a container of gas has a column height difference of 0.60 m (Fig. P15.72). If the atmospheric pressure on the right column is 1.01 105 Pa, find the absolute pressure of the gas in the container. The density of water is 1.0 103 kg/m3. FIGURE P15.72arrow_forward
- The pressure at the bottom of a glass filled with water ( = 1 000 kg/m3) is P. The water is poured out and the glass is filled with ethyl alcohol ( = 806 kg/m3). The pressure at the bottom of the glass is now (a) smaller than P (b) equal to P (c) larger than P (d) indeterminate.arrow_forwardA rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its density increases steadily between its ends from 2.70 g/cm3 to 19.3 g/cm3. (a) Identify the constants B and C required in the expression = B + Cx to describe the variable density. (b) The mass of the rod is given by m=allmaterialdV=allxAdx=014.0cm(B+Cx)(9.00cm2)dx Carry out the integration to find the mass of the rod.arrow_forwardGiven: A person is diving in a lake in the depth of h = 8.5 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 = 0.0485 m2 Express the absolute pressure at the depth of h, P, in terms of P0, ρ, and h. Calculate the numerical value of P in Pa 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. Calculate the numerical value of F in N.arrow_forward
- A car is carrying a piece of plywood with dimensions 2.40 m by 1.15 m. If the mass of the plywood is 12.0 kg, what maximum speed can the car travel before the wood flies off? This is the speed of the air rushing above the plywood as the car moves along. (Density of the air is 1.29 kg/m3)arrow_forwardA person is diving in a lake in the depth of h = 15 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 = 0.0385 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.arrow_forwardWhat is the density of a substance if 0.071 kg of it occupies 70 X 10-6 m³? a. 1004.29 kg/m3 b. 1034.29 kg/m3 c. 1014.29 kg/m3 d. 1024.29 kg/m3 e. None of the abovearrow_forward
- (C) At which depth of an ocean the pressure is be 9.3x10' Pa, when the density of water is 1x10 kg/m³ and pa- 1.01x10 Pa.arrow_forwardA person is diving in a lake in the depth of h = 15 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 = 0.0385 m2. a) Express the absolute pressure at the depth of h, P, in terms of P0, ρ, and h. b) 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. c) Calculate the numerical value of F in N.arrow_forwardIn the central heating design of a house, if the speed of pumping hot water to the ground floor is equal to 0.5 m / s in a tube of 4 cm diameter at a pressure equal to 3.03 * 10 ^ 5 Pa, what is the speed of hot water flow and pressure on the first floor if you know that the diameter of the pipe connecting the floor is 2.6 cm, and the height of the first floor is 5 meters?arrow_forward
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