EBK STUDENT SOLUTIONS MANUAL WITH STUDY
10th Edition
ISBN: 9781337520379
Author: Vuille
Publisher: YUZU
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Chapter 9, Problem 32P
A 62.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m × 2.00 m × 0.090 0 m. The bottom 0.024 m of the raft is submerged. (a) Draw a force diagram of the system consisting of the survivor and raft. (b) Write Newton’s second law for the system in one dimension, using B for buoyancy, w for the weight of the survivor, and wr for the weight of the raft. (Set a = 0.) (c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1 025 kg/m3.) (d) Using the value of B and the weight w of the survivor, calculate the weight w, of the Styrofoam. (e) What is the density of the Styrofoam? (f) What is the maximum buoyant, force, corresponding to the raft being submerged up to its top surface? (g) What total mass of survivors can the raft support?
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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 9 Solutions
EBK STUDENT SOLUTIONS MANUAL WITH STUDY
Ch. 9.2 - Suppose you have one cubic meter of gold, two...Ch. 9.4 - The pressure at the bottom of a glass filled with...Ch. 9.5 - Several common barometers are built using a...Ch. 9.5 - Blood pressure is normally measured with the cuff...Ch. 9.6 - Atmospheric pressure varies from day to day. The...Ch. 9.6 - The density of lead is greater than iron, and both...Ch. 9.7 - You observe two helium balloons floating next to...Ch. 9 - Physics Review A soap bubble hovers motionlessly...Ch. 9 - Physics Review A team of huskies performs 7 440 J...Ch. 9 - Prob. 3WUE
Ch. 9 - Prob. 4WUECh. 9 - Humans can bite with a force of approximately 800...Ch. 9 - A hydraulic jack has an input piston of area 0.050...Ch. 9 - Prob. 7WUECh. 9 - Prob. 8WUECh. 9 - Prob. 9WUECh. 9 - A horizontal pipe narrows from a radius of 0.250 m...Ch. 9 - A large water tank is 3.00 m high and filled lo...Ch. 9 - Prob. 1CQCh. 9 - The density of air is 1.3 kg/m3 at sea level. From...Ch. 9 - Why do baseball home run hitters like to play in...Ch. 9 - Figure CQ9.4 shows aerial views from directly...Ch. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Suppose a damaged ship just barely floats in the...Ch. 9 - During inhalation, the pressure in the lungs is...Ch. 9 - The water supply for a city is often provided from...Ch. 9 - An ice cube is placed in a glass of water. What...Ch. 9 - Place two cans of soft drinks, one regular and one...Ch. 9 - Will an ice cube float higher in water or in an...Ch. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - A person in a boat floating in a small pond throws...Ch. 9 - One of the predicted problems due to global...Ch. 9 - Prob. 1PCh. 9 - Prob. 3PCh. 9 - Calculate the mass of a solid gold rectangular bar...Ch. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Suppose a distant world with surface gravity of...Ch. 9 - Evaluate Young's modulus for the material whose...Ch. 9 - The Deformation of Solids 65. A 200.-kg load is...Ch. 9 - Comic-book superheroes are sometimes able to punch...Ch. 9 - A plank 2.00 cm thick and 15.0 cm wide is firmly...Ch. 9 - Assume that if the shear stress in steel exceeds...Ch. 9 - For safety in climbing, a mountaineer uses a nylon...Ch. 9 - A stainless-steel orthodontic: wire is applied to...Ch. 9 - Bone has a Youngs modulus of 18 109 Pa. Under...Ch. 9 - A high-speed lifting mechanism supports an 800.-kg...Ch. 9 - Prob. 17PCh. 9 - The total cross-sectional area of the load-bearing...Ch. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - (a) Calculate the absolute pressure at the bottom...Ch. 9 - Mercury is poured into a U-tube as shown in Figure...Ch. 9 - A collapsible plastic bag (Fig. F9.11) contains a...Ch. 9 - Prob. 24PCh. 9 - A container is filled to a depth of 20.0 cm with...Ch. 9 - Blaise Pascal duplicated Torricellis barometer...Ch. 9 - Figure P9.27 shows the essential parts of a...Ch. 9 - Piston in Figure P9.16 has a diameter of 0.25...Ch. 9 - Buoyant Forces and Archimedes Principle A...Ch. 9 - The average human has a density of 945 kg/m3 after...Ch. 9 - A small ferryboat is 4.00 m wide and 6.00 m long....Ch. 9 - A 62.0-kg survivor of a cruise line disaster rests...Ch. 9 - A wooden block of volume 5.24 104 m3 floats in...Ch. 9 - A large balloon of mass 226 kg is filled with...Ch. 9 - A spherical weather balloon is filled with...Ch. 9 - A man of mass m = 70.0 kg and having a density of ...Ch. 9 - On October 21, 2001, Ian Ashpole of the United...Ch. 9 - The gravitational force exerted on a solid object...Ch. 9 - A cube of wood having an edge dimension of 20.0 cm...Ch. 9 - A light spring of force constant k = 160 N/m rests...Ch. 9 - A sample of an unknown material appears to weigh...Ch. 9 - An object weighing 300 N in air is immersed in...Ch. 9 - A 1.00-kg beaker containing 2.00 kg of oil...Ch. 9 - Wafer flowing through a garden hose of diameter...Ch. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - A hypodermic syringe contain a medicine with the...Ch. 9 - When a person inhales, air moves down the bronchus...Ch. 9 - A jet airplane in level flight has a mass of 8.66 ...Ch. 9 - An airplane has a mass M, and the two wings have a...Ch. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - A jet of water squirts out horizontally from a...Ch. 9 - A large storage tank, open to the atmosphere at...Ch. 9 - The inside diameters of the larger portions of the...Ch. 9 - Water is pumped through a pipe of diameter 15.0 cm...Ch. 9 - Old Faithful geyser in Yellowstone Park erupts at...Ch. 9 - The Venturi tube shown in Figure P9.48 may be used...Ch. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - A certain fluid has a density of 1.080 kg/m3 and...Ch. 9 - Whole blood has a surface tension of 0.058 N/m and...Ch. 9 - Prob. 63PCh. 9 - Prob. 64PCh. 9 - Prob. 65PCh. 9 - Prob. 66PCh. 9 - Spherical panicles of a protein of density 1.8...Ch. 9 - A hypodermic needle is 3.0 era in length and 0.30...Ch. 9 - Prob. 69PCh. 9 - Prob. 70PCh. 9 - The aorta in humans has a diameter of about 2.0...Ch. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Glycerin in water diffuses along a horizontal...Ch. 9 - Prob. 75PCh. 9 - Small spheres of diameter 1.00 mm fall through 20C...Ch. 9 - An iron block of volume 0.20 m5 is suspended from...Ch. 9 - The true weight of an object can be measured in a...Ch. 9 - As a first approximation. 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