Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 14, Problem 14.74AP
Review. A long, cylindrical rod of radius r is weighted on one end so that it floats upright in a fluid having a density ρ. It is pushed down a distance x from its equilibrium position and released. Show that the rod will execute
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
An rectangular prism (density p) floats on the boundary between fluids. The upper fluid has density 0.5p, while the lower fluid has density 2.5p.
A) Find the percentage of the volume submerged in the heavy fluid.
B) If the prism is displaced slightly in the vertical direction, find the oscillation frequency.
A cube of side length l and density ?c is immersed in a fluid of density ?fl. Let ℎ be the height of the cube that is immersed in the fluid. Then, a slight downward push is applied on the cube, making it oscillate up and down the fluid.A. Determine the period for small oscillations of the cube in terms of the given quantities.B. Is the period for small oscillations explicitly dependent on the densities of the fluid and the cube?
The differential change in pressure p close to the surface of a static fluid is given by the following expression: dp/dy = -3Ap2,where A is a constant, with units of 1/(atm•m), and p is the pressure in atm. The pressure at the surface of the fluid is p(0) = 1 atm, and the coordinate y here is positive upwards with origin at the surface.
Write an expression for the absolute pressure as a function of y.
Chapter 14 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 14 - Suppose you are standing directly behind someone...Ch. 14 - The pressure at the bottom of a filled glass of...Ch. 14 - Several common barometers are built, with a...Ch. 14 - You are shipwrecked and floating in the middle of...Ch. 14 - You observe two helium balloons floating next to...Ch. 14 - Figure OQ14.1 shows aerial views from directly...Ch. 14 - Prob. 14.2OQCh. 14 - A wooden block floats in water, and a steel object...Ch. 14 - An apple is held completely submerged just below...Ch. 14 - A beach ball is made of thin plastic. It has been...
Ch. 14 - A solid iron sphere and a solid lead sphere of the...Ch. 14 - Prob. 14.7OQCh. 14 - One of the predicted problems due to global...Ch. 14 - A boat develops a leak and, after its passengers...Ch. 14 - A small piece of steel is tied to a block of wood....Ch. 14 - A piece of unpainted porous wood barely floats in...Ch. 14 - A person in a boat floating in a small pond throws...Ch. 14 - Rank the buoyant forces exerted on the following...Ch. 14 - A water supply maintains a constant rate of flow...Ch. 14 - A glass of water contains floating ice cubes. When...Ch. 14 - An ideal fluid flows through a horizontal pipe...Ch. 14 - When an object is immersed in a liquid at rest,...Ch. 14 - Two thin-walled drinking glasses having equal base...Ch. 14 - Because atmospheric pressure is about 105 N/m2 and...Ch. 14 - A fish rests on the bottom of a bucket of water...Ch. 14 - You are a passenger on a spacecraft. For your...Ch. 14 - Prob. 14.6CQCh. 14 - Prob. 14.7CQCh. 14 - If you release a ball while inside a freely...Ch. 14 - (a) Is the buoyant force a conservative force? (b)...Ch. 14 - All empty metal soap dish barely floats in water....Ch. 14 - Prob. 14.11CQCh. 14 - Prob. 14.12CQCh. 14 - Prob. 14.13CQCh. 14 - Does a ship float higher in the water of an inland...Ch. 14 - Prob. 14.15CQCh. 14 - Prob. 14.16CQCh. 14 - Prairie dogs ventilate their burrows by building a...Ch. 14 - Prob. 14.18CQCh. 14 - Prob. 14.19CQCh. 14 - A large man sits on a four-legged chair with his...Ch. 14 - Prob. 14.2PCh. 14 - A 50.0-kg woman wearing high-heeled shoes is...Ch. 14 - Estimate the total mass of the Earths atmosphere....Ch. 14 - Calculate the mass of a solid gold rectangular bar...Ch. 14 - (a) A wry powerful vacuum cleaner has a hose 2.86...Ch. 14 - The spring of the pressure gauge shown in Figure...Ch. 14 - The small piston of a hydraulic lift (Fig. P14.8)...Ch. 14 - What must be the contact area between a suction...Ch. 14 - A swimming pool has dimensions 30.0 m 10.0 m and...Ch. 14 - (a) Calculate the absolute pressure at the bottom...Ch. 14 - Prob. 14.12PCh. 14 - Prob. 14.13PCh. 14 - A container is filled to a depth of 20.0 cm with...Ch. 14 - Review. The lank in Figure P14.15 is filled with...Ch. 14 - Prob. 14.16PCh. 14 - Prob. 14.17PCh. 14 - Review. A solid sphere of brass (bulk modulus of...Ch. 14 - Normal atmospheric pressure is 1.013 103 Pa. The...Ch. 14 - The human brain and spinal cord are immersed in...Ch. 14 - Blaise Pascal duplicated Torricellis barometer...Ch. 14 - Prob. 14.22PCh. 14 - A backyard swimming pool with a circular base of...Ch. 14 - A tank with a flat bottom of area A and vertical...Ch. 14 - A table-tennis ball has a diameter of 3.80 cm and...Ch. 14 - Prob. 14.26PCh. 14 - A 10.0-kg block of metal measuring 12.0 cm by 10.0...Ch. 14 - A light balloon is filled with 400 m3 of helium at...Ch. 14 - A cube of wood having an edge dimension of 20.0 cm...Ch. 14 - The United States possesses the ten largest...Ch. 14 - A plastic sphere floats in water with 50.0% of its...Ch. 14 - A spherical vessel used for deep-sea exploration...Ch. 14 - A wooden block of volume 5.24 104 m3 floats in...Ch. 14 - The weight of a rectangular block of low-density...Ch. 14 - A large weather balloon whose mass is 226 kg is...Ch. 14 - A hydrometer is an instrument used to determine...Ch. 14 - Refer to Problem 16 and Figure P14.16. A...Ch. 14 - On October 21, 2001, Ian Ashpole of the United...Ch. 14 - How many cubic meters of helium are required to...Ch. 14 - Water flowing through a garden hose of diameter...Ch. 14 - A large storage tank, open at the top and filled...Ch. 14 - Prob. 14.42PCh. 14 - Prob. 14.43PCh. 14 - A village maintains a large tank with ail open...Ch. 14 - A legendary Dutch boy saved Holland by plugging a...Ch. 14 - Water falls over a dam of height h with a mass...Ch. 14 - Water is pumped up from the Colorado River to...Ch. 14 - In ideal flow, a liquid of density 850 kg/m3 moves...Ch. 14 - The Venturi tube discussed in Example 14.8 and...Ch. 14 - Review. Old Faithful Geyser in Yellowstone...Ch. 14 - An airplane is cruising al altitude 10 km. The...Ch. 14 - An airplane has a mass of 1.60 104 kg, and each...Ch. 14 - Prob. 14.53PCh. 14 - The Bernoulli effect can have important...Ch. 14 - Prob. 14.55PCh. 14 - Decades ago, it was thought that huge herbivorous...Ch. 14 - (a) Calculate the absolute pressure at an ocean...Ch. 14 - Prob. 14.58APCh. 14 - A spherical aluminum ball of mass 1.26 kg contains...Ch. 14 - Prob. 14.60APCh. 14 - Review. Figure P14.61 shows a valve separating a...Ch. 14 - The true weight of an object can be measured in a...Ch. 14 - Water is forced out of a fire extinguisher by air...Ch. 14 - Review. Assume a certain liquid, with density 1...Ch. 14 - Prob. 14.65APCh. 14 - Prob. 14.66APCh. 14 - Prob. 14.67APCh. 14 - A common parameter that can be used to predict...Ch. 14 - Evangelista Torricelli was the first person to...Ch. 14 - Review. With reference to the dam studied in...Ch. 14 - A 1.00-kg beaker containing 2.00 kg of oil...Ch. 14 - A beaker of mass mb containing oil of mass mu and...Ch. 14 - In 1983, the United States began coining the...Ch. 14 - Review. A long, cylindrical rod of radius r is...Ch. 14 - Prob. 14.75APCh. 14 - The spirit-in-glass thermometer, invented in...Ch. 14 - Prob. 14.77APCh. 14 - Review. In a water pistol, a piston drives water...Ch. 14 - Prob. 14.79APCh. 14 - The water supply of a building is fed through a...Ch. 14 - A U-tube open at both ends is partially filled...Ch. 14 - A woman is draining her fish tank by siphoning the...Ch. 14 - The hull of an experimental boat is to be lifted...Ch. 14 - Prob. 14.84APCh. 14 - An ice cube whose edges measure 20.0 mm is...Ch. 14 - Why is the following situation impossible? A barge...Ch. 14 - Show that the variation of atmospheric pressure...
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
- A spherical submersible 2.00 m in radius, armed with multiple cameras, descends under water in a region of the Atlantic Ocean known for shipwrecks and finds its first shipwreck at a depth of 1.75 103 m. Seawater has density 1.03 103 kg/m3, and the air pressure at the oceans surface is 1.013 105 Pa. a. What is the absolute pressure at the depth of the shipwreck? b. What is the buoyant force on the submersible at the depth of the shipwreck?arrow_forwardIn about 1657, Otto von Guericke, inventor of the air pump, evacuated a sphere made of two brass hemispheres (Fig. P15.62). 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 P15.62arrow_forwardA tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The pressure is P0 at the top surface. (a) What is the absolute pressure at the bottom of the tank? (b) Suppose an object of mass M and density less than the density of water is placed into the tank and floats. No water overflows. What is the resulting increase in pressure at the bottom of the tank?arrow_forward
- The pressure at the bottom of a glass filled with water ( = 1 000 kg/m3) is P. The water is poured out and the glass is filled with ethyl alcohol ( = 806 kg/m3). The pressure at the bottom of the glass is now (a) smaller than P (b) equal to P (c) larger than P (d) indeterminate.arrow_forwardThe aircraft fuselage can be approximated as a circular cylinder for non-viscous aerodynamicanalysis. Given that the surface velocity of inviscid flow around a circular cylinder is:V = 2U∞sinθWhere q = 0 is a point on the axis of symmetry, show that the maximum dynamic pressure on thecylinder amounts to: 2 ρU∞2If P∞ at some distance upstream of the cylinder is 100kPa, and U∞ is 50m/s, determine the minimumstatic pressure on the cylinder surface for an air flow with density 1.225kg/m3arrow_forwardLuigi is attempting to fix some Mushroom Kingdom plumbing. At one point in the plumbing, a horizontal pipe is carrying an incompressible frictionless fluid of density 1.31*10^ 3 kg/m^ 3 . The pipe widens from d_{1} = 2.59 cm at left to d_{2} = 6.61 cm at right , as shown below. If the fluid enters the narrower left end of the pipe at a speed of 2.33 m/s , by how much must the pressure drop or rise (in Pa) at the wider right end of the pipe? Be sure to include the appropriate sign! Explain how you solved the problem involving a fluid passing through a pipe. Be sure to state what your known and unknown quantities are, what concepts were applied , and what equations were used!arrow_forward
- A 40 cm of honey (denisty = 1.36 g/m3) in one arm of an open U-tube manometer is found to balance a certain column height of vegetable oil (density = 0.91 g/m3). What is the measure of the height of oil?arrow_forwardA section of uniform pipe is bent into an upright U shape and partially filled with water, which can then oscillate back and forth in simple harmonic motion. The inner radius of the pipe is r = 0.024 m. The radius of curvature of the curved part of the U is R = 0.23 m. When the water is not oscillating, the depth of the water in the straight sections is d = 0.37 m. Enter an expression for the mass of water in the tube, in terms of the defined quantities and the density of water, ρ. Use the approximation r << R. Calculate the mass of the water, in kilograms. Take ρ = 1000 kg/m3. Enter an expression for the force constant of the U-shaped column of water when displaced from equilibrium, in terms of the defined quantities, ρ, and g. This constant is analogous to the spring constant in Hooke’s law. Find the value of the force constant, in newtons per meter. Take ρ = 1000 kg/m3 and g = 9.81 m/s2. Calculate the period of oscillation, in seconds.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, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher: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, Technology ...
Physics
ISBN:9781305116399
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
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
How to Calculate Density of Liquids - With Examples; Author: cleanairfilms;https://www.youtube.com/watch?v=DVQMWihs3wQ;License: Standard YouTube License, CC-BY