Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 15.4, Problem 15.6CE
To determine
The way in which C’s statement about the rise of helium balloon in air is correct and how the statement can be made more precise.
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A 6.5-cm-diameter ball has a terminal speed of 20 m/s.
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b) The specific volume (in m/kg) and density (in kg/m³) of the gas.
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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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- Suppose you are at the top of Mount Everest and you fill a water balloon. The air pressure at the top of Mount Everest is 58 kPa. a. What is the fractional change in the balloons volume V/Vi when you take it to sea level? b. If instead you take it 100 m below the surface of the ocean, what is the fractional change in its volume?arrow_forwardA light balloon is filled with 400 m3 of helium at atmospheric pressure. (a) At 0C, the balloon can lift a payload of what mass? (b) What If? In Table 15.1, observe that the density of hydrogen is nearly half the density of helium. What load can the balloon lift if filled with hydrogen?arrow_forwardCase Study Shannon uses the example of a helium balloon to explain the buoyant force. Large helium blimp balloons are sometimes used as an advertisement (Fig. P15.78). The blimp balloon has a volume of 42.8 m3, and the mass of the empty blimp is 13.6 kg. It is held down by either a large-link steel chain or a large-link aluminum chain. Each link of steel has a mass of 2.6 kg, and each link of aluminum has a mass of 0.87 kg. The chain rests on the ground but is not attached to it. The density of helium gas is 0.180 kg/m3. a. How many links hang from the blimp if the steel chain is used? b. Compare your answer with the number of links that would hang if the aluminum chain were used instead. FIGURE P15.78arrow_forward
- (a) The density of water at 0C is very nearly 1000kg/m3 (it is actually 999.84kg/m3 ), whereas the density of ice at 0C is 917kg/m3. Calculate the pressure necessary to keep ice from expanding when it freezes, neglecting the effect such a large pressure would have on the freezing temperature. (This problem gives you only an indication of how large the forces associated with freezing water might be.) (b) What are the implications of this result for biological cells that are frozen?arrow_forwardThe human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally continuous between the cranial and spinal cavities and exerts a pressure of 100 to 200 mm of H2O above the prevailing atmospheric pressure. In medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height lo which the fluid rises is observed, as shown in Figure P9.83. If the fluid ruses to a height of 160. mm, we write its gauge pressure as 160. mm H2O. (a) Express this pressure in pascals, in atmospheres, and in millimeters of mercury. (b) Sometimes it is necessary to determine whether an accident victim has suffered a crushed vertebra that is blocking the flow of cerebrospinal fluid in the spinal column. In other cases, a physician may suspect that a tumor or other growth is blocking the spinal column and inhibiting the flow of cerebrospinal fluid. Such conditions ran be investigated by means of the Queckensted test. In this procedure, the veins in the patients neck are compressed lo make the blood pressure rise in the brain. The increase in pressure in the blood vessels is transmitted to the cerebrospinal fluid. What should be the normal effect on the height of the fluid in the spinal tap? (c) Suppose compressing the veins had no effect on the level of the fluid. What might account for this phenomenon?arrow_forward(a) What is the mass of a deep breath of air having a volume of 2.00 L? (b) Discuss the effect taking such a breath has on your body's volume and density.arrow_forward
- During inhalation, the pressure in the lungs is slightly less than external pressure and the muscles controlling exhalation are relaxed. Under water, the body equalizes internal and external pressures. Discuss the condition of the muscles if a person under water is breathing through a snorkel. Would a snorkel work in deep water?arrow_forward. The volume of the Drop Tower "Bremen" (a 100-meter-tall tube used to study processes during free fall) is l,700 m3. (a) What is the mass of the air that must he removed from it to reduce the pressure inside to nearly zero (1 Pa compared to 100,000 Pa)? (b) What is the weight of the air in pounds?arrow_forward(a) Calculate the buoyant force on a 2.00-L helium balloon. (b) Given the mass of the rubber in the balloon is 1.50 g, what is the net vertical force on the balloon if it is let go? You can neglect the volume of the rubber.arrow_forward
- You are pumping up a bicycle tire with a hand pump, the piston of which has a 2.00-cm radius. (a) What force in newtons must you exert to create a pressure of 6.90105 Pa (b) What is unreasonable about this (a) result? (c) Which premises are unreasonable or inconsistent?arrow_forwardA manometer is shown in Figure P15.36. Rank the pressures at the five locations indicated from highest to lowest. Indicate equal pressures, if any. FIGURE P15.36arrow_forwardThe human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally continuous between the cranial and spinal cavities and exerts a pressure of 100 to 200 mm of H2O above the prevailing atmospheric pressure. In medical work, pressures are often measured in units of millimeters of H2O because body fluids, including the cerebrospinal fluid, typically have the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap as illustrated in Figure P14.8. A hollow tube is inserted into the spinal column, and the height to which the fluid rises is observed. If the fluid rises to a height of 160 mm, we write its gauge pressure as 160 mm H2O. (a) Express this pressure in pascals, in atmospheres, and in millimeters of mercury. (b) Some conditions that block or inhibit the flow of cerebrospinal fluid can be investigated by means of Queckenstedts test. In this procedure, the veins in the patients neck are compressed to make the blood pressure rise in the brain, which in turn should be transmitted to the cerebrospinal fluid. Explain how the level of fluid in the spinal tap can be used as a diagnostic tool for the condition of the patients spine. Figure P14.8arrow_forward
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