EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 13, Problem 76P
(III) Show that inside a soap bubble, there must be a pressure ΔP in excess of that outside equal to ΔP = 4γ/r, where r is the radius of the bubble and γ is the surface tension. [Hint: Think of the bubble as two hemispheres in contact with each other: and remember that there are two surfaces to the bubble. Note that this result applies to any kind of membrane, where 2γ is the tension per unit length in that membrane.]
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Consider the air and the bell jar. After the syringe has been pumped, the volume of air in the jar (increase,decrease or remains the same) the pressure (increase, decrease or remains the same) and the density (increase, decrease or remains the same).
(a) Calculate the retarding force (in N) due to the viscosity of the air layer between a cart and a level air track given the following information-air temperature is 20°C, the cart is moving at 0.350 m/s, its surface area is
2.50 x 10-2 m2, and the thickness of the air layer is 6.00 × 10¬5 m.
N
(b) What is the ratio of this force to the weight of the 0.300 kg cart?
The Navier-Stokes equation is the fundamental equation of fluid dynamics. In one of its many forms
(incompressible and viscous flow) the equation is p
Ət + (V. V)V
= -Vp + µ(V V)V. In the
notation, V = is the three-dimensional velocity field, p is the (scalar) pressure, p is the
constant density of the fluid, and u is the constant viscosity.
(i) Take the dot product of V and the nabla V operator, then apply the result to u to show that
(V.V)u = (1
ди
+ v
he
+ v
+ w-
+ w
dz
u-
u = u
dz
(ii) Assume u = xy2z and find (V V)u at (1, 1, 1) where V =.
(iii) Write out the 1st component equation of the Navier-Stokes vector equation.
Chapter 13 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 13.3 - Prob. 1AECh. 13.3 - A dam holds hack a lake that is 85 m deep at the...Ch. 13.7 - On the hydrometer of Example 1311, will the marks...Ch. 13.7 - Prob. 1DECh. 13.7 - Prob. 1EECh. 13.9 - As water in a level pipe passes from a narrow...Ch. 13.10 - Return to Chapter-Opening Question 2, page 339,...Ch. 13 - If one material has a higher density than another,...Ch. 13 - Airplane travelers sometimes note that their...Ch. 13 - The three containers in Fig. 1343 are filled with...
Ch. 13 - Consider what happens when you push both a pin and...Ch. 13 - A small amount of water is boiled in a 1-gallon...Ch. 13 - Prob. 6QCh. 13 - An ice cube floats in a glass of water filled to...Ch. 13 - Will an ice cube float in a glass of alcohol? Why...Ch. 13 - A submerged can of Coke will sink, but a can of...Ch. 13 - Prob. 10QCh. 13 - Explain how the tube in Fig. 1344, known as a...Ch. 13 - A barge filled high with sand approaches a low...Ch. 13 - Explain why helium weather balloons, which are...Ch. 13 - A row boat floats in a swimming pool, and the...Ch. 13 - Will an empty balloon have precisely the same...Ch. 13 - Why do you float higher in salt water than in...Ch. 13 - If you dangle two pieces of paper vertically, a...Ch. 13 - Why does the stream of water from a faucet...Ch. 13 - Prob. 19QCh. 13 - Prob. 20QCh. 13 - A tall Styrofoam cup is filled with water. Two...Ch. 13 - Why do airplanes normally lake off into the wind?Ch. 13 - Two ships moving in parallel paths close to one...Ch. 13 - Prob. 24QCh. 13 - Prob. 25QCh. 13 - Prob. 1MCQCh. 13 - Prob. 2MCQCh. 13 - Prob. 3MCQCh. 13 - Prob. 4MCQCh. 13 - Prob. 5MCQCh. 13 - Prob. 6MCQCh. 13 - Prob. 7MCQCh. 13 - Prob. 8MCQCh. 13 - Prob. 9MCQCh. 13 - Prob. 10MCQCh. 13 - Prob. 11MCQCh. 13 - Prob. 12MCQCh. 13 - Prob. 13MCQCh. 13 - Prob. 14MCQCh. 13 - (I) The approximate volume of the granite monolith...Ch. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - (II) How high would the level be in an alcohol...Ch. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - (II) Water anti then oil (which dont mix) are...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - (III) A beaker of liquid accelerates from rest, on...Ch. 13 - (III) Water stands at a height h behind a vertical...Ch. 13 - (III) Estimate the density of the water 5.4 km...Ch. 13 - (III) A cylindrical bucket of liquid (density ) is...Ch. 13 - (I) What fraction of a piece of iron will he...Ch. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - (II) The specific gravity of ice is 0.917, whereas...Ch. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - (II) A cube of side length 10.0 cm and made of...Ch. 13 - Prob. 41PCh. 13 - (III) If an object floats in water, its density...Ch. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Prob. 45PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - (II) A 180-km/h wind blowing over the flat roof of...Ch. 13 - Prob. 50PCh. 13 - (II) Estimate the air pressure inside a category 5...Ch. 13 - Prob. 52PCh. 13 - (II) Show that the power needed to drive a fluid...Ch. 13 - Prob. 54PCh. 13 - Prob. 55PCh. 13 - (II) In Fig. 1355, take into account the speed of...Ch. 13 - (II) Suppose the top surface of the vessel in Fig....Ch. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - Prob. 63PCh. 13 - Prob. 64PCh. 13 - Prob. 65PCh. 13 - Prob. 66PCh. 13 - Prob. 67PCh. 13 - Prob. 68PCh. 13 - Prob. 69PCh. 13 - Prob. 70PCh. 13 - (III) A patient is to be given a blood...Ch. 13 - Prob. 72PCh. 13 - Prob. 73PCh. 13 - Prob. 74PCh. 13 - (III) Estimate the diameter of a steel needle that...Ch. 13 - (III) Show that inside a soap bubble, there must...Ch. 13 - (III) A common effect of surface tension is the...Ch. 13 - Prob. 78PCh. 13 - Prob. 79GPCh. 13 - Prob. 80GPCh. 13 - Estimate the difference in air pressure between...Ch. 13 - Prob. 82GPCh. 13 - Prob. 83GPCh. 13 - Prob. 84GPCh. 13 - Prob. 85GPCh. 13 - Airlines are allowed to maintain a minimum air...Ch. 13 - Prob. 87GPCh. 13 - Prob. 88GPCh. 13 - Prob. 89GPCh. 13 - Prob. 90GPCh. 13 - A simple model (Fig. 13-57) considers a continent...Ch. 13 - Prob. 92GPCh. 13 - Prob. 93GPCh. 13 - Prob. 94GPCh. 13 - The stream of water from a faucet decreases in...Ch. 13 - Prob. 96GPCh. 13 - Prob. 97GPCh. 13 - Prob. 98GPCh. 13 - Prob. 99GPCh. 13 - Prob. 100GPCh. 13 - Prob. 101GPCh. 13 - Prob. 102GPCh. 13 - Prob. 103GPCh. 13 - Prob. 104GP
Additional Science Textbook Solutions
Find more solutions based on key concepts
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
Problems 49 through 61 describe a situation. For each problem, draw a motion diagram, a force identification di...
College Physics: A Strategic Approach (4th Edition)
Maxwells equations in a dielectric resemble those in vacuum (Equations 29.6-29.9) but with 0 replaced by 0, whe...
Essential University Physics: Volume 2 (3rd Edition)
31. * Equation Jeopardy 4 The equation below describes one or more physical situations. Solve the equation for ...
College Physics
Explain all answers clearly, with complete sentences and proper essay structure, if needed. An asterisk (*) des...
Cosmic Perspective Fundamentals
38. The basic unit for electric current is _______.
Applied Physics (11th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take He = 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 air = 0ez/8, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.arrow_forwardA garden hose with a diameter of 2.0 cm is used to fill a bucket, which has a volume of 0.10 cubic meters. It takes 1.2 minutes to fill. An adjustable nozzle is attached to the hose to decrease the diameter of the opening, which increases the speed of the water. The hose is held level to the ground at a height of 1.0 meters and the diameter is decreased until a flower bed 3.0 meters away is reached. (a) What is the volume flow rate of the through the nozzle when the diameter 2.0 cm? (b) What does is the speed of coming out of the hose? (c) What does the speed of the water coming out of the hose need to be to reach the flower bed 3.0 meters away? (d) What is be diameter of nozzle needed to reach be flower bed?arrow_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_forward
- A 75.0-kg floats in freshwater 3.00% of his volume above water when his are empty, and 5.00% of his volume above water when his lungs are full. Calculate the volume of air inhales—called his lung capacity—in liters. (b) Does lung volume seem reasonable?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_forwardHow 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_forward
- Normal forces are applied uniformly over the surface of a spherical volume of water whose radius is 20.0cm . If the pressure on the surface is increased by 200MPa , by how much does the radius of the sphere decrease?arrow_forwardIn about 1657. Otto von Guericke, inventor of the air pump, evacuated a sphere made of two brass hemispheres (Fig. P9.89). Two teams of eight horses each could pull the hemispheres apart only on some trials and then with greatest difficulty, with the resulting sound likened to a cannon firing. Find the force F required to pull the thin-walled evacuated hemispheres apart in terms of R, the radius of the hemispheres, P the pressure inside the hemispheres, and atmospheric pressure P0. Figure P9.89arrow_forwardAn ideal fluid flows through a horizontal pipe whose diameter varies along its length. Measurements would indicate that the sum of the kinetic energy per unit volume and pressure at different sections of the pipe would (a) decrease as the pipe diameter increases, (b) increase as the pipe diameter increases, (c) increase as the pipe diameter decreases, (d) decrease as the pipe diameter decreases, or (e) remain the same as the pipe diameter changes.arrow_forward
- Verigy that the SI of hpg is N/m2.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_forwardThe left ventricle of a resting adult's heart pumps blood at a flow rate of 83.0 cm3/s , increasing its pressure by 110 mm Hg, its speed from zero to 30.0 cm/s, and its height by 5.00 cm. (All cumbers are averaged over the entire heartbeat) Calculate the total power output of left ventricle. Note that most of the power is used to increase blood pressure.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Gas density and PV=nRT, the ideal gas law; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=RFF1MIQDdds;License: Standard YouTube License, CC-BY
Weight, Force, Mass & Gravity | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=U78NOo-oxOY;License: Standard Youtube License