The Physical Universe
15th Edition
ISBN: 9780073513928
Author: Konrad Krauskopf, Arthur Beiser
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 5, Problem 41MC
To determine
The new volume of air.
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Question 3 of 17
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In the figure above, three uniform thin rods, each of length L, form
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
xcom
L
2
(b) What is the y coordinate of the system's center of mass?
Ycom
45
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Chapter 5 Solutions
The Physical Universe
Ch. 5 - Prob. 1MCCh. 5 - One gram of steam at 100C causes a more serious...Ch. 5 - Prob. 3MCCh. 5 - Heat transfer in a vacuum can occur by a....Ch. 5 - The fluid at the bottom of a container is a. under...Ch. 5 - The pressure of the earths atmosphere at sea level...Ch. 5 - Prob. 7MCCh. 5 - The density of freshwater is 1.00 g/cm3 and that...Ch. 5 - Prob. 9MCCh. 5 - Prob. 10MC
Ch. 5 - Prob. 11MCCh. 5 - Prob. 12MCCh. 5 - Prob. 13MCCh. 5 - Absolute zero may be regarded as that temperature...Ch. 5 - Prob. 15MCCh. 5 - Prob. 16MCCh. 5 - Prob. 17MCCh. 5 - Prob. 18MCCh. 5 - Prob. 19MCCh. 5 - When a vapor condenses into a liquid, a. its...Ch. 5 - Prob. 21MCCh. 5 - Prob. 22MCCh. 5 - Prob. 23MCCh. 5 - Prob. 24MCCh. 5 - Prob. 25MCCh. 5 - The physics of a refrigerator most closely...Ch. 5 - Prob. 27MCCh. 5 - Prob. 28MCCh. 5 - Prob. 29MCCh. 5 - The second law of thermodynamics does not lead to...Ch. 5 - Prob. 31MCCh. 5 - Prob. 32MCCh. 5 - Prob. 33MCCh. 5 - Prob. 34MCCh. 5 - Prob. 35MCCh. 5 - Prob. 36MCCh. 5 - Prob. 37MCCh. 5 - Prob. 38MCCh. 5 - Prob. 39MCCh. 5 - A wooden plank 200 cm long, 30 cm wide, and 40 mm...Ch. 5 - Prob. 41MCCh. 5 - Prob. 42MCCh. 5 - Prob. 43MCCh. 5 - Prob. 44MCCh. 5 - Prob. 45MCCh. 5 - Running hot water over the metal lid of a glass...Ch. 5 - When a mercury-in-glass thermometer is heated, its...Ch. 5 - Three iron bars are heated in a furnace to...Ch. 5 - Why do you think the Celsius temperature scale is...Ch. 5 - Normal room temperature is about 20C. What is this...Ch. 5 - What is the Celsius equivalent of a temperature of...Ch. 5 - Prob. 7ECh. 5 - You have a Fahrenheit thermometer in your left...Ch. 5 - Why is a piece of ice at 0C more effective in...Ch. 5 - Would it be more efficient to warm your bed on a...Ch. 5 - A cup of hot coffee can be cooled by placing a...Ch. 5 - A 150-L water heater is rated at 8 kW. If 20...Ch. 5 - Prob. 13ECh. 5 - Prob. 14ECh. 5 - Prob. 15ECh. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - An essential part of a home solar heating system...Ch. 5 - A 10-kg stone is dropped into a pool of water from...Ch. 5 - Why do tables of densities always include the...Ch. 5 - A room is 5 m long, 4 m wide, and 3 m high. What...Ch. 5 - A 156-kg coil of sheet steel is 0.80 mm thick and...Ch. 5 - A 50-g bracelet is suspected of being gold-plated...Ch. 5 - Prob. 24ECh. 5 - Mammals have approximately the same density as...Ch. 5 - Prob. 26ECh. 5 - Prob. 27ECh. 5 - Some water is boiled briefly in an open metal can....Ch. 5 - When a person drinks a soda through a straw, where...Ch. 5 - Prob. 30ECh. 5 - The three containers shown in Fig. 5-55 are filled...Ch. 5 - A 60-kg swami lies on a bed of nails with his body...Ch. 5 - A tire pump has a piston whose cross-sectional...Ch. 5 - Prob. 34ECh. 5 - A 1200-lb car is equally supported by its four...Ch. 5 - The smallest bone in the index finger of a 75-kg...Ch. 5 - A hypodermic syringe whose cylinder has a...Ch. 5 - Prob. 38ECh. 5 - Why does buoyancy occur? Under what circumstances...Ch. 5 - Two balls of the same size but of different mass...Ch. 5 - A wooden block is submerged in a tank of water and...Ch. 5 - Prob. 42ECh. 5 - Prob. 43ECh. 5 - Prob. 44ECh. 5 - Prob. 45ECh. 5 - Prob. 46ECh. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - Prob. 49ECh. 5 - Prob. 50ECh. 5 - Prob. 51ECh. 5 - Prob. 52ECh. 5 - A 200-L iron tank has a mass of 36 kg. (a) Will it...Ch. 5 - What are the equivalents of 0 K, 0C, and 0F in the...Ch. 5 - A certain quantity of hydrogen occupies a volume...Ch. 5 - A tire contains air at a pressure of 2.8 bar at...Ch. 5 - Prob. 57ECh. 5 - A weather balloon carries instruments that measure...Ch. 5 - To what Celsius temperature must a gas sample...Ch. 5 - Prob. 60ECh. 5 - Prob. 61ECh. 5 - Prob. 62ECh. 5 - Is it meaningful to say that an object at a...Ch. 5 - Prob. 64ECh. 5 - Prob. 65ECh. 5 - The pressure on a sample of hydrogen is doubled,...Ch. 5 - Prob. 67ECh. 5 - Prob. 68ECh. 5 - Prob. 69ECh. 5 - Prob. 70ECh. 5 - To what temperature must a gas sample initially at...Ch. 5 - Prob. 72ECh. 5 - Prob. 73ECh. 5 - You can safely put your hand inside a hot oven for...Ch. 5 - Prob. 75ECh. 5 - Prob. 76ECh. 5 - What is the advantage of installing the heating...Ch. 5 - Why does evaporation cool a liquid?Ch. 5 - Prob. 79ECh. 5 - Prob. 80ECh. 5 - Give as many methods as you can think of that will...Ch. 5 - How much heat is given off when 1 kg of steam at...Ch. 5 - Prob. 83ECh. 5 - Prob. 84ECh. 5 - Prob. 85ECh. 5 - Prob. 86ECh. 5 - Water at 50C can be obtained by mixing together...Ch. 5 - Prob. 88ECh. 5 - Prob. 89ECh. 5 - Prob. 90ECh. 5 - Prob. 91ECh. 5 - Is it correct to say that a refrigerator produces...Ch. 5 - Prob. 93ECh. 5 - Prob. 94ECh. 5 - An engine that operates between 2000 K and 700 K...Ch. 5 - Prob. 96ECh. 5 - Prob. 97ECh. 5 - Prob. 98ECh. 5 - Prob. 99ECh. 5 - Prob. 100E
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