University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 14, Problem 74P
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?
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
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[2 marks]
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[3 marks]
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2
k
8πG
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+
a²
(p+3p).
3
a
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[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
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A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
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[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Page 2
SECTION A
Answer ALL questions in Section A
[Expect to use one single-sided A4 page for each Section-A sub question.]
Question A1
SPA6308 (2024)
Consider Minkowski spacetime in Cartesian coordinates th
=
(t, x, y, z), such that
ds² = dt² + dx² + dy² + dz².
(a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V.
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u =t-x,
v=t+x.
[2 marks]
Write down the line element, the metric, the Christoffel symbols and the Riemann curvature
tensor in the new coordinates. [See the Appendix of this document.]
[5 marks]
(c) Determine V", that is, write the object in question A1.a in the coordinate system x'. Verify
explicitly that V. V is invariant under the coordinate transformation.
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Suppose that A, is a covector field, and consider the object
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Chapter 14 Solutions
University Physics Volume 1
Ch. 14 - Check Your Understanding If the reservoir in...Ch. 14 - Check Your Understanding Mercury is a hazardous...Ch. 14 - Check Your Understanding Would a hydraulic press...Ch. 14 - Which of the following substances are fluids at...Ch. 14 - Why are gases easier to compress tan liquids and...Ch. 14 - Explain how the density of air varies with...Ch. 14 - The images show a glass of ice water filled to the...Ch. 14 - How is pressure related to sharpness of a knife...Ch. 14 - Why is a force exerted by a static fluid on a...Ch. 14 - Imagine a remote location near the Nott Pole, a...
Ch. 14 - In ballet, dancing en pointe (on the tips of the...Ch. 14 - Atmospheric pressure exerts a large force (equal...Ch. 14 - Why does atmospheric pressure decrease more...Ch. 14 - The image shows how sandbags placed around a leak...Ch. 14 - Is there a net force on a dam due to atmospheric...Ch. 14 - Does atmospheric pressure add to the gas pressure...Ch. 14 - You can break a strong wine bottle by pounding a...Ch. 14 - Explain why the fluid reaches equal levels on...Ch. 14 - Suppose the master cylinder in a hydraulic system...Ch. 14 - More force is required to pull the plug in a full...Ch. 14 - Do fluids exert buoyant forces in a “weightless"...Ch. 14 - Will the same ship float higher in salt water than...Ch. 14 - Marbles dropped into a partially filled bathtub...Ch. 14 - Mary figures in the show streamlines. Explain why...Ch. 14 - You can squirt water from a garden hose a...Ch. 14 - Water is shot nearly vertically upward in a...Ch. 14 - Look back to figure 14.29. Answer the following...Ch. 14 - A tube with a narrow segment designed to enhance...Ch. 14 - Some chimney pipes have a T-shape, with a...Ch. 14 - Is there a limit to the height to which an...Ch. 14 - Why is it preferable for airplanes to take off...Ch. 14 - Roofs are sometimes pushed off vertically a...Ch. 14 - It is dangerous to stud close to railroad tracks...Ch. 14 - Water pressure inside a hose nozzle can be less...Ch. 14 - David rolled down the window on his car while...Ch. 14 - Based on Bernoulli’s equation, what are three...Ch. 14 - The old rubber boot below has leaks. To what...Ch. 14 - Water pressure inside a hose nozzle can be less...Ch. 14 - Explain why the viscosity of a liquid decreases...Ch. 14 - When paddling a canoe upstream, it is wisest to...Ch. 14 - Plumbing usually includes air-filled tubes tear...Ch. 14 - Doppler ultrasound can be used to measure the...Ch. 14 - Sink drains often have a device such as that shown...Ch. 14 - Gold is sold by the troy ounce (31.103 g). What is...Ch. 14 - Mercury is commonly supplied in flasks containing...Ch. 14 - What is the mass deep breath of air having a...Ch. 14 - A straightforward method of finding the density of...Ch. 14 - Suppose you have a coffee with a circular...Ch. 14 - A rectangular gasoline tank bold 30.0 kg of...Ch. 14 - A trash compactor can compress its contents to...Ch. 14 - A 2.50-kg steel gasoline can holds 20.0 L of...Ch. 14 - What is the density of 18.0-karat gold that is a...Ch. 14 - The tip of a nail exerts tremendous pressure when...Ch. 14 - A glass tube mercury. What would be the height of...Ch. 14 - The greatest ocean depths on Earth are found in...Ch. 14 - Verigy that the SI of hpg is N/m2.Ch. 14 - What pressure is exerted the bottom of a gas tank...Ch. 14 - A dam is used to hold back a river. The dam has a...Ch. 14 - Find ae gauge and absolute pressures in be balloon...Ch. 14 - How tall must be to measure blood pressure as high...Ch. 14 - Assuming bicycle tires are perfectly flexible and...Ch. 14 - Pascal’s Principle and Hydraulics 59. How much...Ch. 14 - What force must exerted on the master cylinder of...Ch. 14 - A host pours the remnants of several of wine into...Ch. 14 - A certain hydraulic system is designed to exert a...Ch. 14 - Verify that work input equals work output for a...Ch. 14 - What fraction of ice is submerged when it floats...Ch. 14 - If a person's body has a density of 995 kg/m3,...Ch. 14 - A rock with a mass of 540 g in air is found to...Ch. 14 - Archimedes' principle can be used to calculate the...Ch. 14 - Calculate the buoyant force a 200-L helium...Ch. 14 - What is density of a woman floats in fresh water...Ch. 14 - A man has a mass of 80 kg and a density of...Ch. 14 - A simple compass cute made by placing a small bar...Ch. 14 - What percentage of an iron anchor’s weight will be...Ch. 14 - Referring to Figure 14.20, prove that the buoyant...Ch. 14 - A 75.0-kg floats in freshwater 3.00% of his volume...Ch. 14 - What is the average flow rate in cm3/s of gasoline...Ch. 14 - The heart of a resting adult pumps blood at a rate...Ch. 14 - The Huka Falls on the Waikato River is one of New...Ch. 14 - (a) Estimate the time it would take to a private...Ch. 14 - What is the fluid speed a hose a 9.00-cm diameter...Ch. 14 - Water is moving at a velocity of 2.00 m/s through...Ch. 14 - Prove the sped of an incompressible fluid through...Ch. 14 - Water emerges straight down from a faucet with a...Ch. 14 - Verify that pressure has units of enery per unit...Ch. 14 - Suppose you have a wind speed gauge like the pitot...Ch. 14 - If be pressure reading of your pitot tube is 15.0...Ch. 14 - Every few years, winds in Boulder, Colorado,...Ch. 14 - What is the pressure drop due to the Bernoulli...Ch. 14 - (a) Using Bernoulli's equation, show that be...Ch. 14 - A container of water has a cross-sectional area of...Ch. 14 - A fluid of a constant density flows through a...Ch. 14 - (a) Calculate the retarding force due to viscosity...Ch. 14 - The arterioles (small arteries) leading to organ...Ch. 14 - A spherical particle falling at a terminal speed...Ch. 14 - Using the equation of the previous problem, find...Ch. 14 - A skydiver will reach a terminal velocity when the...Ch. 14 - (a) Verify that a 19.0% decrease in laminar flow...Ch. 14 - When physicians diagnose arterial blockages, they...Ch. 14 - An oil gusher shoots crude 25.0 m the through a...Ch. 14 - Concrete is pumped from a cement mixer to the...Ch. 14 - Verify that flow of oil is laminar for an oil...Ch. 14 - Calculate Reynolds numbers for flow of trough (a)...Ch. 14 - A fire hose has an inside diameter of 6.40 cm....Ch. 14 - At what rate might turbulence begin to develop in...Ch. 14 - Before digital storage devices, such as the memory...Ch. 14 - Water towers store water above the level of...Ch. 14 - The aqueous humor in a person's eye is exerting a...Ch. 14 - (a) Convert normal blood pressure readings of 120...Ch. 14 - Pressure cookers have been around for more than...Ch. 14 - Bird bones have air pockets to reduce their...Ch. 14 - In an immersion measurement of a woman's density,...Ch. 14 - Some have a density slightly less than that of...Ch. 14 - The human circulation system has approximately...Ch. 14 - The flow of blood through a 2.00106 m -radius...Ch. 14 - The left ventricle of a resting adult's heart...Ch. 14 - A sump pump (used to drain water from be basement...Ch. 14 - A glucose solution being administered with an IV...Ch. 14 - A small artery has a length of 1.1103m and a...Ch. 14 - Angioplasty is a technique in which arteries...Ch. 14 - Suppose a blood vessel's radius is decreased to...Ch. 14 - The pressure dam early in problems section...Ch. 14 - The temperature of atmosphere is not always...Ch. 14 - A submarine is stranded on the bottom of the ocean...Ch. 14 - Logs sometimes float vertically a lake because one...Ch. 14 - Scurrilous con artists have been known to...Ch. 14 - The inside volume of a house is equivalent to that...Ch. 14 - A garden hose with a diameter of 2.0 cm is used to...Ch. 14 - A frequency quoted rule of thumb aircraft design...Ch. 14 - Two pipes of equal and constant diameter leave a...Ch. 14 - Fluid originally flows through a tube at a rate of...Ch. 14 - During a marathon race, a runner's blood flow...Ch. 14 - Water supplied to a house by a water main has a...Ch. 14 - Gasoline is piped underground from refineries to...
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