University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 12, Problem 12.67P
The densities of air, helium, and hydrogen (at ρ = 1.0 atm and T = 20°C) are 1.20kg/m3, 0.166 kg/m3, and 0.0899 kg/m3 respectively, (a) What is the volume in cubic meters displaced by a hydrogen-filled airship that has a total “lift” of 90.0 kN? (The “lift” is the amount by which the buoyant force exceeds the weight of the gas that fills the airship.) (b) What would be the “lift” if helium were used instead of hydrogen? In view of your answer, why is helium used in modern airships like advertising blimps?
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Students have asked these similar questions
A light balloon is filled with 402 m3 of helium at atmospheric pressure.
(a) At 0°C, the balloon can lift a payload of what mass?
kg
(b) In the table below, observe that the density of hydrogen is nearly half the density of helium. What load can the balloon lift if filled with hydrogen?
kg
Densities of Some Common Substances at Standard
Temperature (0°C) and Pressure (Atmospheric)
Substance
p(kg/m³)
Substance
p(kg/m³)
Air
1.29
Ice
0.917 X 103
Aluminum
2.70 X 103
Iron
7.86 X 103
Benzene
0.879 X 103
Lead
11.3 X 10
8.92 X 10
0.806 X 103
Copper
Mercury
13.6 X 103
Ethyl alcohol
Oak
0.710 X 10
Fresh water
1.00 X 103
Oxygen gas
1.43
Glycerin
1.26 X 103
Pine
0.373 X 103
Gold
19.3 X 103
Platinum
21.4 X 103
Helium gas
1.79 X 10-1
Seawater
1.03 X 103
Hydrogen gas
8.99 X 10-2
Silver
10.5 X 103
Archimedes established his principle while investigating a suspected fraud in the construction of a crown. The crown was made from an alloy of gold and silver instead of pure gold. Assume that the volume of the alloy was the combined volumes of components (the density of gold is 19.3g/cm3 ), (the density of silver is 10.5g/cm3). If the crown had a weight of 9.81 N in air and 9.10 N in pure water, what percentage of gold (by weight) was it?
A. 53.1%
B. 67.4%
C. 81.2%
D. 91.3%
Need Help:
It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70 103 kg/m3.
Given Tip: How is the volume of the cubical object related to the volume of aluminum in the object and the volume of the cubical cavity? How is the mass of the cubical object related to the mass of aluminum in the object? Recall how the volume of a cube is related to the length of each side of the cube.
Chapter 12 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 12.1 - Rank the following objects in order from highest...Ch. 12.2 - Mercury is less dense at high temperatures than at...Ch. 12.3 - You place a container of seawater on a scale and...Ch. 12.4 - A maintenance crew is working on a section of a...Ch. 12.5 - Which is the most accurate statement of Bernoullis...Ch. 12.6 - How much more thumb pressure must a nurse use to...Ch. 12 - A cube of oak wood with very smooth faces normally...Ch. 12 - A rubber hose is attached to a funnel, and the...Ch. 12 - Comparing Example 12.1 (Section 12.1) and Example...Ch. 12 - Prob. 12.4DQ
Ch. 12 - You have probably noticed that the lower the tire...Ch. 12 - In hot-air ballooning, a large balloon is filled...Ch. 12 - In describing the size of a large ship, one uses...Ch. 12 - You drop a solid sphere of aluminum in a bucket of...Ch. 12 - A rigid, lighter-than-air dirigible filled with...Ch. 12 - Which has a greater buoyant force on it: a 25-cm3...Ch. 12 - The purity of gold can be tested by weighing it in...Ch. 12 - During the Great Mississippi Flood of 1993, the...Ch. 12 - A cargo ship travels from the Atlantic Ocean (salt...Ch. 12 - You push a piece of wood under the surface of a...Ch. 12 - An old question is Which weighs more, a pound of...Ch. 12 - Suppose the door of a room makes an airtight but...Ch. 12 - At a certain depth in an incompressible liquid,...Ch. 12 - A piece of iron is glued to the top of a block of...Ch. 12 - You take an empty glass jar and push it into a...Ch. 12 - You are floating in a canoe in the middle of a...Ch. 12 - You are floating in a canoe in the middle of a...Ch. 12 - Two identical buckets are filled to the brim with...Ch. 12 - An ice cube floats in a glass of water. When the...Ch. 12 - A helium-filled balloon is tied to a light string...Ch. 12 - If the velocity at each point in space in...Ch. 12 - In a store-window vacuum cleaner display, a...Ch. 12 - A tornado consists of a rapidly whirling air...Ch. 12 - Airports at high elevations have longer runways...Ch. 12 - When a smooth-flowing stream of water comes out of...Ch. 12 - Prob. 12.30DQCh. 12 - Prob. 12.1ECh. 12 - A cube 5.0 cm on each side is made of a metal...Ch. 12 - Prob. 12.3ECh. 12 - Gold Brick. You win the lottery and decide to...Ch. 12 - A uniform lead sphere and a uniform aluminum...Ch. 12 - Prob. 12.6ECh. 12 - A hollow cylindrical copper pipe is 1.50 m long...Ch. 12 - Prob. 12.8ECh. 12 - Prob. 12.9ECh. 12 - BIO (a) Calculate the difference in blood pressure...Ch. 12 - BIO In intravenous feeding, a needle is inserted...Ch. 12 - A barrel contains a 0.120-m layer of oil floating...Ch. 12 - BIO Standing on Your Head. (a) What is the...Ch. 12 - You are designing a diving bell to withstand the...Ch. 12 - BIO Ear Damage from Diving. If the force on the...Ch. 12 - The liquid in the open-tube manometer in Fig....Ch. 12 - BIO There is a maximum depth at which a diver can...Ch. 12 - BIO The lower end of a long plastic straw is...Ch. 12 - An electrical short cuts off all power to a...Ch. 12 - A tall cylinder with a cross-sectional area 12.0...Ch. 12 - A cylindrical disk of wood weighing 45.0 N and...Ch. 12 - A closed container is partially filled with water....Ch. 12 - Hydraulic Lift I. For the hydraulic lift shown in...Ch. 12 - Hydraulic Lift II. The piston of a hydraulic...Ch. 12 - Exploring Venus. The surface pressure on Venus is...Ch. 12 - A rock has mass 1.80 kg. When the rock is...Ch. 12 - A 950-kg cylindrical can buoy floats vertically in...Ch. 12 - A slab of ice floats on a freshwater lake. What...Ch. 12 - An ore sample weighs 17.50 N in air. When the...Ch. 12 - You are preparing some apparatus for a visit to a...Ch. 12 - A rock with density 1200 kg/m3 is suspended from...Ch. 12 - A hollow plastic sphere is held below the surface...Ch. 12 - A cubical block of wood, 10.0 cm on a side, floats...Ch. 12 - A solid aluminum ingot weighs 89 N in air. (a)...Ch. 12 - A rock is suspended by a light string. When the...Ch. 12 - Water runs into a fountain, filling all the pipes,...Ch. 12 - A shower head has 20 circular openings, each with...Ch. 12 - Water is flowing in a pipe with a varying...Ch. 12 - Water is flowing in a pipe with a circular cross...Ch. 12 - Home Repair. You need to extend a...Ch. 12 - A sealed tank containing seawater to a height of...Ch. 12 - Prob. 12.42ECh. 12 - What gauge pressure is required in the city water...Ch. 12 - A small circular hole 6.00 mm in diameter is cut...Ch. 12 - At a certain point in a horizontal pipeline, the...Ch. 12 - At one point in a pipeline the waters speed is...Ch. 12 - A golf course sprinkler system discharges water...Ch. 12 - A soft drink (mostly water) flows in a pipe at a...Ch. 12 - Prob. 12.49ECh. 12 - A pressure difference of 6.00 104 Pa is required...Ch. 12 - In a lecture demonstration, a professor pulls...Ch. 12 - CP The deepest point known in any of the earths...Ch. 12 - CALC A swimming pool is 5.0 m long, 4.0 m wide,...Ch. 12 - BIO Fish Navigation. (a) As you can tell by...Ch. 12 - CP CALC The upper edge of a gate in a dam runs...Ch. 12 - Ballooning on Mars. It has been proposed that we...Ch. 12 - A 0.180-kg cube of ice (frozen water) is floating...Ch. 12 - A narrow. U-shaped glass tube with open ends is...Ch. 12 - A U-shaped tube open to the air at both ends...Ch. 12 - CALC The Great Molasses Flood. On the afternoon of...Ch. 12 - A large, 40.0-kg cubical block of wood with...Ch. 12 - A hot-air balloon has a volume of 2200 m3. The...Ch. 12 - Prob. 12.63PCh. 12 - A single ice cube with mass 16.4 g floats in a...Ch. 12 - Advertisements for a certain small car claim that...Ch. 12 - A piece of wood is 0.600 m long, 0.250 in wide,...Ch. 12 - The densities of air, helium, and hydrogen (at =...Ch. 12 - When an open-faced boat has a mass of 5750 kg,...Ch. 12 - Prob. 12.69PCh. 12 - In seawater, a life preserver with a volume of...Ch. 12 - CALC A closed and elevated vertical cylindrical...Ch. 12 - Prob. 12.72PCh. 12 - A plastic ball has radius 12.0 cm and floats in...Ch. 12 - Assume that crude oil from a supertanker has...Ch. 12 - Prob. 12.75PCh. 12 - A barge is in a rectangular lock on a freshwater...Ch. 12 - CP Water stands at a depth H in a large, open tank...Ch. 12 - Your uncle is in the below-deck galley of his boat...Ch. 12 - Prob. 12.79PCh. 12 - A cylindrical bucket, open at the top, is 25.0 cm...Ch. 12 - Prob. 12.81PCh. 12 - Prob. 12.82PCh. 12 - Two very large open tanks A and F (Fig. P12.83)...Ch. 12 - A liquid flowing from a vertical pipe has a...Ch. 12 - DATA The density values in Table 12.1 are listed...Ch. 12 - DATA You have a bucket containing; in unknown...Ch. 12 - DATA The Environmental Protection Agency is...Ch. 12 - A siphon (Fig. P12.88) is a convenient device for...Ch. 12 - For the situation shown, the tissues in the...Ch. 12 - The maximum force the muscles of the diaphragm can...Ch. 12 - How does the force the diaphragm experiences due...Ch. 12 - If the elephant were to snorkel in salt water,...
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