College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 11, Problem 46PE
(a) What is the density of a woman who floats in freshwater with 4.00% of her volume above the surface? This could be measured by placing her in a tank with marks on the side to measure how much water she displaces when floating and when held under water (briefly). (b) What percent of her volume is above the surface when she floats in seawater?
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Chapter 11 Solutions
College Physics
Ch. 11 - What physical characteristic distinguishes a fluid...Ch. 11 - Which of the following substances are fluids at...Ch. 11 - Why are gases easier to compress than liquids and...Ch. 11 - How do gases differ from liquids?Ch. 11 - Approximately how does the density of air vary...Ch. 11 - Give an example in which density is used to...Ch. 11 - Prob. 7CQCh. 11 - How is pressure related to the sharpness of a...Ch. 11 - Why does a dull hypodermic needle hurt more than a...Ch. 11 - The outward force on one end of an air tank was...
Ch. 11 - Why is force exerted by static fluids always...Ch. 11 - In a remote location near the North Pole, an...Ch. 11 - How do jogging on soft ground and wearing padded...Ch. 11 - Toe dancing (as in ballet) is much harder on toes...Ch. 11 - How do you convert pressure units like millimeters...Ch. 11 - Atmospheric pressure exerts a large force (equal...Ch. 11 - Why does atmospheric pressure decrease more...Ch. 11 - What are two reasons why mercury rather than water...Ch. 11 - Prob. 19CQCh. 11 - Why is it difficult to swim under water in the...Ch. 11 - Is there a net force on a due to atmospheric...Ch. 11 - Does atmospheric pressure add to the gas pressure...Ch. 11 - You can break a strong wine bottle by pounding a...Ch. 11 - Suppose the master cylinder in a hydraulic system...Ch. 11 - Explain why the fluid reaches equal levels on...Ch. 11 - Prob. 26CQCh. 11 - Considering the magnitude of typical arterial...Ch. 11 - More force is required to pull the plug in a full...Ch. 11 - Do fluids exert buoyant forces in a "weightless"...Ch. 11 - Will the same ship float higher in salt water than...Ch. 11 - Marbles dropped into a partially filled bathtub...Ch. 11 - The density of oil is less than that of water, yet...Ch. 11 - Is surface tension due to cohesive or adhesive...Ch. 11 - Is capillary action due to cohesive or adhesive...Ch. 11 - Birds such as ducks, geese, and swans have greater...Ch. 11 - Water beads up on an oily sunbather, but not on...Ch. 11 - Could capillary action be used to move fluids in a...Ch. 11 - What effect does capillary action have on the...Ch. 11 - Pressure between the inside chest wall and the...Ch. 11 - Gold is sold by the troy ounce (31.103 g). What is...Ch. 11 - Mercury is commonly supplied in flasks containing...Ch. 11 - (a) What is the mass of a deep breath of air...Ch. 11 - A straightforward method of finding the density of...Ch. 11 - Suppose you have a coffee mug with a circular...Ch. 11 - (a) A rectangular gasoline tank can hold 50.0 kg...Ch. 11 - A trash compactor can reduce the volume of its...Ch. 11 - A 2.50-kg steel gasoline can holds 20.0 L of...Ch. 11 - What is the density of 18.0-karat gold that is a...Ch. 11 - There is relatively little empty space between...Ch. 11 - As a woman walks, her entire weight is momentarily...Ch. 11 - The pressure exerted by a phonograph needle on a...Ch. 11 - Nail tips exert tremendous pressures when they are...Ch. 11 - What depth of mercury creates a pressure of 1.00...Ch. 11 - The greatest ocean depths on the Earth are found...Ch. 11 - Verify that the SI unit of hpg is N/m2.Ch. 11 - Water towers store water above the level of...Ch. 11 - The aqueous humor in a person's eye is exerting a...Ch. 11 - How much force is exerted on one side of an 8.50...Ch. 11 - What pressure is exerted on the bottom of a...Ch. 11 - Calculate the average pressure exerted on the palm...Ch. 11 - The left side of the heart creates a pressure of...Ch. 11 - Prob. 23PECh. 11 - How much pressure is transmitted in the hydraulic...Ch. 11 - What force must be exerted on the master cylinder...Ch. 11 - A crass host pours the remnants of several bottles...Ch. 11 - A certain hydraulic system is designed to exert a...Ch. 11 - (a) Verify that work input equals work output for...Ch. 11 - Prob. 29PECh. 11 - (a) Convert normal blood pressure readings of 120...Ch. 11 - How tall must a water-filled manometer be to...Ch. 11 - Pressure cookers have been around for more than...Ch. 11 - Suppose you measure a standing person's blood...Ch. 11 - A submarine is stranded on the bottom of the ocean...Ch. 11 - Assuming bicycle tires are perfectly flexible and...Ch. 11 - What fraction of ice is submerged when it floats...Ch. 11 - Logs sometimes float vertically in a lake because...Ch. 11 - Find the density of a fluid in which a hydrometer...Ch. 11 - If your body has a density of 995 kg/m3, what...Ch. 11 - Bird bones have air pockets in them to reduce...Ch. 11 - A rock with a mass of 540 g in air is found to...Ch. 11 - Archimedes' principle can be used to calculate the...Ch. 11 - In an immersion measurement of a woman's density,...Ch. 11 - Some fish have a density slightly less than that...Ch. 11 - (a) Calculate the buoyant force on a 2.00-L helium...Ch. 11 - (a) What is the density of a woman who floats in...Ch. 11 - A certain man has a mass of 80 kg and a density of...Ch. 11 - A simple compass can be made by placing a small...Ch. 11 - What fraction of an iron anchor's weight will be...Ch. 11 - Scurrilous con artists have been known to...Ch. 11 - A twin-sized air mattress used for camping has...Ch. 11 - Prob. 52PECh. 11 - (a) A 75.0-kg man floats in freshwater with 3.00%...Ch. 11 - What is the pressure inside an alveolus having a...Ch. 11 - (a) The pressure inside an alveolus with a 2.00104...Ch. 11 - What is the gauge pressure in millimeters of...Ch. 11 - Prob. 57PECh. 11 - Prob. 58PECh. 11 - Prob. 59PECh. 11 - Prob. 60PECh. 11 - If the gauge pressure inside a rubber balloon with...Ch. 11 - Calculate the gauge pressures inside...Ch. 11 - Suppose water is raised by capillary action to a...Ch. 11 - Calculate the contact angle for olive oil if...Ch. 11 - When two soap bubbles touch, the larger is...Ch. 11 - Calculate the ratio of the heights to which water...Ch. 11 - What is the ratio of heights to which ethyl...Ch. 11 - During forced exhalation, such as when blowing up...Ch. 11 - You can chew through very tough objects with your...Ch. 11 - One way to force air into an unconscious person's...Ch. 11 - Heroes in movies hide beneath water and breathe...Ch. 11 - Gauge pressure in the fluid surrounding an...Ch. 11 - A full-term fetus typically has a mass of 3.50 kg....Ch. 11 - If the pressure in the esophagus is -2.00 mm Hg...Ch. 11 - Prob. 75PECh. 11 - Calculate the maximum force in newtons exerted by...Ch. 11 - During heavy lifting, a disk between spinal...Ch. 11 - When a person sits erect, increasing the vertical...Ch. 11 - (a) How high will water rise in a glass capillary...Ch. 11 - Prob. 80PECh. 11 - Suppose you hit a steel nail with a 0.500-kg...Ch. 11 - Calculate the pressure due to the ocean at the...Ch. 11 - Prob. 83PECh. 11 - Some miners wish to remove water from a mine...Ch. 11 - You are pumping up a bicycle tire with a hand...Ch. 11 - Consider a group of people trying to stay afloat...Ch. 11 - The alveoli in emphysema victims are damaged and...Ch. 11 - Prob. 1TPCh. 11 - Prob. 2TPCh. 11 - Prob. 3TPCh. 11 - Prob. 4TPCh. 11 - Prob. 5TP
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- The gravitational force exerted on a solid object is 5.00 N. When the object is suspended from a spring scale and submerged in water, the scale reads 3.50 N (Fig. P15.24). Find the density of the object. Figure P15.24 Problems 24 and 25.arrow_forwardWhat fraction of ice is submerged when it floats in freshwater, given the density of water 0°C is very close to 1000 kg/m3?arrow_forwardIn an immersion measurement of a woman's density, she is found to have a mass of 62.0 kg in air an apparent mass of 0.0850 kg completely submerged with lungs empty. (a) What of water does she displace? (b) What is her volume? (c) Calculate her density. (d) If her lung capacity is 1.7S L, is she able to that without treading water with her lungs filled air?arrow_forward
- A large storage tank with an open top is filled to a height h0. The tank is punctured at a height h above the bottom of the tank (Fig. P15.39). Find an expression for how far from the tank the exiting stream lands. Figure P15.39arrow_forwardBird bones have air pockets to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone air and in water and finds its mass is 45.0 g ad its apparent mass when submerged is 3.60 g (assume the bone is watertight.)(a) What mass of is displaced? (b) What is the volume of the bone? (c) What is its average density?arrow_forwardReview. The tank in Figure P15.13 is filled with water of depth d = 2.00 m. At the bottom of one sidewall is a rectangular hatch of height h = 1.00 m and width w = 2.00 m that is hinged at the top of the hatch. (a) Determine the magnitude of the force the water exerts on the hatch. (b) Find the magnitude of the torque exerted by the water about the hinges.arrow_forward
- A table-tennis ball has a diameter of 3.80 cm and average density of 0.084 0 g/cm3. What force is required to hold it completely submerged under water?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_forwardFigure P15.52 shows a Venturi meter, which may be used to measure the speed of a fluid. It consists of a Venturi tube through which the fluid moves and a manometer used to measure the pressure difference between regions 1 and 2. The fluid of density tube moves from left to right in the Venturi tube. Its speed in region 1 is v1, and its speed in region 2 is v2. The necks cross-sectional area is A2, and the cross-sectional area of the rest of the tube is A1. The manometer contains a fluid of density mano. a. Do you expect the fluid to be higher on the left side or the right side of the manometer? b. The speed v2 of the fluid in the neck comes from measuring the difference between the heights (yR yL) of the fluid on the two sides of manometer. Derive an expression for v2 in terms of (yR yL), A1, A2, tube, and mano. FIGURE P15.52arrow_forward
- A U-tube open at both ends is partially filled with water (Fig. P15.67a). Oil having a density 750 kg/m3 is then poured into the right arm and forms a column L = 5.00 cm high (Fig. P15.67b). (a) Determine the difference h in the heights of the two liquid surfaces. (b) The right arm is then shielded from any air motion while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height (Fig. P15.67c). Determine the speed of the air being blown across the left arm. Take the density of air as constant at 1.20 kg/m3.arrow_forwardA hot-air balloon consists of a basket banging beneath a large envelope filled with hot air. A topical hot-air balloon has a total mass of 545 kg. including passengers in its basket, and holds 2.55 103 m3 of hot air in its envelope. If the ambient air density is 1.25 kg/m3, determine the density of hot air inside the envelope when the balloon is neutrally buoyant. Neglect the volume of air displaced by the basket and | passengers.arrow_forwardA beaker of mass mb containing oil of mass mo and density o rests on a scale. A block of iron of mass mFe suspended from a spring scale is completely submerged in the oil as shown in Figure P15.63. Determine the equilibrium readings of both scales. Figure P15.63 Problems 63 and 64.arrow_forward
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