College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 11, Problem 23PE
To determine
To prove:
The force on the rectangular dam by fluid increases as the square of the water depth and mathematically it is given as
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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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- Review. 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_forwardA 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_forwardThe small piston of a hydraulic lift (Fig. P15.6) has a cross-sectional area of 3.00 cm2, and its large piston has a cross-sectional area of 200 cm2. What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load whose weight is Fg = 15.0 kN? Figure P15.6arrow_forward
- Fluid originally flows through a tube at a rate of 100 cm3/s. To illustrate the sensitivity of flow rate to various factors, calculate be new flow rate for following changes with all other factors remaining the same as in original conditions. (a) Pressure difference increases by a factor of 1.50. (b) A new fluid wit 3.00 times greater viscosity is substituted. (c) The tube is replaced by one having 4.00 times the length. (d) Another tube used with a 0.100 times the original. (e) Yet another tube is substituted with a radius 0.100 times the original and half length, and pressure difference is increased by factor of 1.50.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_forwardA 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_forward
- 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_forwardFigure P15.47 shows a stream of water in steady flow from a kitchen faucet. At the faucet, the diameter of the stream is 0.960 cm. The stream fills a 125-cm3 container in 16.3 s. Find the diameter of the stream 13.0 cm below the opening of the faucet. Figure P15.47arrow_forwardReview. The tank in Figure P15.13 is filled with water of depth d. At the bottom of one sidewall is a rectangular hatch of height h and width w 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 die water about die hinges.arrow_forward
- Figure 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_forwardTwo thin-walled drinking glasses having equal base areas but different shapes, with very different cross-sectional areas above the base, are filled to the same level with water. According to the expression P = P0 + gh, the pressure is the same at the bottom of both glasses. In view of this equality, why does one weigh more than the other?arrow_forwardWater is moving at a velocity of 2.00 m/s through a hose with internal diameter of 1.60 cm. (a) What is the flow rate in liters per second? (b) The fluid velocity in this hose's nozzle is 15.0 m/s. What is the nozzle's inside diameter?arrow_forward
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