Bundle: Physics for Scientists and Engineers, Volume 2, Loose-leaf Version, 10th + WebAssign Printed Access Card, Single-Term
10th Edition
ISBN: 9781337888745
Author: SERWAY, Raymond A., Jewett, John W.
Publisher: Cengage Learning
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Chapter 18, Problem 24P
You have scored a great internship with NASA, working on planning for an upcoming mission to Mars. The transfer orbit to Mars will last for several months and will require reclamation of the oxygen in the carbon dioxide exhaled by the crew. In one method of reclamation, 1.00 mol of carbon dioxide produces 1.00 mol of oxygen and 1.00 mol of methane as a byproduct. The methane is stored in a tank under pressure and is available to control the orientation of the spacecraft by controlled venting. A single astronaut exhales 1.09 kg of carbon dioxide each day. If the methane generated in the respiration recycling of three astronauts during one week of flight is stored in an originally empty 150-L tank at −45.0°C, what is the final pressure in the tank?
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A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
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A sphere and cylinder of the same mass and radius start from ret at the same point and more
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Which body gets the bottom first and what is its acceleration
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i)
Define the angular velocity of a rotating body and give its SI unit
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Question 04
in 20
Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[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)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
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,
a) Determine the components of the metric and of the inverse metric.
[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]
Chapter 18 Solutions
Bundle: Physics for Scientists and Engineers, Volume 2, Loose-leaf Version, 10th + WebAssign Printed Access Card, Single-Term
Ch. 18.1 - Prob. 18.1QQCh. 18.3 - Consider the following pairs of materials. Which...Ch. 18.4 - If you are asked to make a very sensitive glass...Ch. 18.4 - Two spheres are made of the same metal and have...Ch. 18.5 - A common material for cushioning objects in...Ch. 18.5 - On a winter day, you turn on your furnace and the...Ch. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Liquid nitrogen has a boiling point of 195.81C at...
Ch. 18 - Death Valley holds the record for the highest...Ch. 18 - Prob. 6PCh. 18 - A copper telephone wire has essentially no sag...Ch. 18 - A pair of eyeglass frames is made of epoxy...Ch. 18 - The Trans-Alaska pipeline is 1 300 km long,...Ch. 18 - A square hole 8.00 cm along each side is cut in a...Ch. 18 - You are watching a new bridge being built near...Ch. 18 - You are watching a new bridge being built near...Ch. 18 - At 20.0C, an aluminum ring has an inner diameter...Ch. 18 - Why is the following situation impossible? A thin...Ch. 18 - A volumetric flask made of Pyrex is calibrated at...Ch. 18 - Review. On a day that the temperature is 20.0C, a...Ch. 18 - Review. The Golden Gate Bridge in San Francisco...Ch. 18 - Your father and your younger brother are...Ch. 18 - An auditorium has dimensions 10.0 m 20.0 m 30.0...Ch. 18 - A container in the shape of a cube 10.0 cm on each...Ch. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - In state-of-the-art vacuum systems, pressures as...Ch. 18 - You have scored a great internship with NASA,...Ch. 18 - Review. The mass of a hot-air balloon and its...Ch. 18 - A room of volume V contains air having equivalent...Ch. 18 - Prob. 27PCh. 18 - You are applying for a position with a sea rescue...Ch. 18 - The pressure gauge on a cylinder of gas registers...Ch. 18 - A steel beam being used in the construction of a...Ch. 18 - Two metal bars are made of invar and a third bar...Ch. 18 - Why is the following situation impossible? An...Ch. 18 - A student measures the length of a brass rod with...Ch. 18 - The density of gasoline is 730 kg/m3 at 0C. Its...Ch. 18 - A liquid has a density . (a) Show that the...Ch. 18 - Prob. 36APCh. 18 - The rectangular plate shown in Figure P18.37 has...Ch. 18 - A bimetallic strip of length L is made of two...Ch. 18 - Prob. 39APCh. 18 - A vertical cylinder of cross-sectional area A is...Ch. 18 - Review. Consider an object with any one of the...Ch. 18 - Prob. 42APCh. 18 - Starting with Equation 18.11, show that the total...Ch. 18 - Review. A house roof is a perfectly flat plane...Ch. 18 - A 1.00-km steel railroad rail is fastened securely...Ch. 18 - Prob. 46CP
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