College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 13, Problem 2P
To determine
The height of the atmosphere, assuming it has a uniform density, by using the data for normal pressure and density of air near earth’s surface and whether the final answer is on the lower or higher side of the actual numbers.
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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?
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(b) What is the y coordinate of the system's center of mass?
Ycom
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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 13 Solutions
College Physics
Ch. 13 - Review Question 13.1 How would you determine the...Ch. 13 - Prob. 2RQCh. 13 - Prob. 3RQCh. 13 - Prob. 4RQCh. 13 - Review Question 13.5 Why does a fluid exert an...Ch. 13 - Review Question 13.6 Two objects have the same...Ch. 13 - Rank in increasing order the pressure that the...Ch. 13 - 2. Choose a device that reduces the pressure...Ch. 13 - Prob. 3MCQCh. 13 - Prob. 4MCQ
Ch. 13 - Prob. 5MCQCh. 13 - How do we know that a fluid exerts an upward force...Ch. 13 - Prob. 7MCQCh. 13 - Prob. 8MCQCh. 13 - Prob. 9MCQCh. 13 - 10. A wooden cube is floating in a fish tank that...Ch. 13 - 11. Two identical beakers with the same amount of...Ch. 13 - A piece of steel and a bag of feathers are...Ch. 13 - A metal boat floats in a pool. What happens to the...Ch. 13 - When a boat sails from seawater to fresh water,...Ch. 13 - Three blocks are floating in oil as shown in...Ch. 13 - Prob. 16MCQCh. 13 - 17. Describe a method to measure the density of a...Ch. 13 - 18. How can you determine the density of air?
Ch. 13 - 20. Does air exert a net upward force or a net...Ch. 13 - 21. What causes the pressure that air exerts on a...Ch. 13 - 22. Why. when you fill a teapot with water, is the...Ch. 13 - What experimental evidence supports Pascals first...Ch. 13 - Fill a plastic cup to the very top with water. Put...Ch. 13 - 25. Why does a fluid exert a net upward force on...Ch. 13 - Describe how you could predict whether an object...Ch. 13 - 27. Why can you lift objects while in water that...Ch. 13 - 28. When placed in a lake, a solid object either...Ch. 13 - 30. Ice floats in water in a beaker. Will the...Ch. 13 - Prob. 31CQCh. 13 - Why do people sink in fresh water and in most...Ch. 13 - 34. A bucket filled to the top with water has a...Ch. 13 - Marjory thinks that the mass of a fluid above a...Ch. 13 - Prob. 36CQCh. 13 - A bucket filled with water has a piece of ice...Ch. 13 - Prob. 39CQCh. 13 - Determine the average density of Earth. What data...Ch. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - * BIO A diet decreases a persons mass by 5%....Ch. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - 7. Imagine that you have gelatin cut into three...Ch. 13 - An object made of material A has a mass of 90 kg...Ch. 13 - You have a steel ball that has a mass of 6.0 kg...Ch. 13 - * A material is made of molecules of mass 2.0 x...Ch. 13 - 11. You compress all the molecules described in...Ch. 13 - Prob. 13PCh. 13 - * Anita holds her physics textbook and complains...Ch. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Hydraulic car lift You are designing a hydraulic...Ch. 13 - EST Force of air on forehead Estimate the force...Ch. 13 - You have a rubber pad with a handle attached to it...Ch. 13 - * EST Toy bow and arrow A child's toy arrow has a...Ch. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Water reservoir and faucet The pressure at the top...Ch. 13 - Prob. 25PCh. 13 - 26. BIOEST Blood pressure Estimate the pressure of...Ch. 13 - Prob. 27PCh. 13 - 28. * Mountain climbing Determine the change in...Ch. 13 - Prob. 29PCh. 13 - 30. * A truck transporting chemicals has crashed,...Ch. 13 - 31. Drinking through a straw You are drinking...Ch. 13 - * More straw drinking While you are drinking...Ch. 13 - Prob. 33PCh. 13 - 34. * BIO EST Eardrum Estimate the net force on...Ch. 13 - 35. BIO Eardrum again You now go snorkeling. What...Ch. 13 - 36. Water and oil are poured into opposite sides...Ch. 13 - 37. * Examine the vertical cross section of the...Ch. 13 - 38. * A test tube of length L and cross-sectional...Ch. 13 - 39. Half of a 20-cm-tall beaker is filled with...Ch. 13 - Blaise Pascal found a seemingly paradoxical...Ch. 13 - 41. Four containers are filled with different...Ch. 13 - Prob. 42PCh. 13 - The reading of a barometer in your room in 780 mm...Ch. 13 - How long would Torricellis barometer have had to...Ch. 13 - Prob. 45PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Draw a force diagram for an object that is...Ch. 13 - 50. Draw a cubic object that is completely...Ch. 13 - Prob. 51PCh. 13 - * Four cubes of the same volume are made of...Ch. 13 - 53. * You place four identical cubes made of oak ...Ch. 13 - kg/m3) reaches the 10-cm mark. You place an oak...Ch. 13 - 55. * A 30-g ball with volume is attached to the...Ch. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 13 - 59. * You have four objects at rest, each of the...Ch. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - 62. * A pin through a hole in the middle supports...Ch. 13 - 63. * A meter stick is supported by a pin through...Ch. 13 - Goose on a lake A 3.6-kg goose floats on a lake...Ch. 13 - 1 floats in seawater of density 2. What fraction...Ch. 13 - 66 * Floating in seawater A person of average...Ch. 13 - kg/m3 when it is fully submerged in water of...Ch. 13 - 68. * Snorkeling A 60-kg snorkeler (including...Ch. 13 - 69. * A helium balloon of volume has a total mass...Ch. 13 - Prob. 70PCh. 13 - Prob. 71PCh. 13 - * Crown composition A crown is made of gold and...Ch. 13 - Prob. 73PCh. 13 - Prob. 74PCh. 13 - 75. * You hang a steel ball on a string above a...Ch. 13 - * One end of a light spring is attached to a...Ch. 13 - Prob. 77PCh. 13 - Prob. 78PCh. 13 - Prob. 79PCh. 13 - EST Iceberg Icebergs are large pieces of...Ch. 13 - Prob. 81PCh. 13 - 82 ** To increase the effect of the buoyant force...Ch. 13 - Prob. 83GPCh. 13 - Prob. 84GPCh. 13 - Prob. 85GPCh. 13 - 86. * EST Bursting a wine barrel Pascal placed a...Ch. 13 - Prob. 87GPCh. 13 - Prob. 88GPCh. 13 - 90. ** You have an empty water bottle. Predict how...Ch. 13 - ** BIO Flexible bladder helps fish sink or rise A...Ch. 13 - * Plane lands on Nimitz aircraft carrier When a...Ch. 13 - Derive an equation for determining the unknown...Ch. 13 - Prob. 94RPPCh. 13 - Prob. 95RPPCh. 13 - 96. As Musimu descends, the buoyant force that the...Ch. 13 - Prob. 97RPPCh. 13 - Lakes freeze from top down we all know that ice...Ch. 13 - Lakes freeze from top down we all know that ice...Ch. 13 - Lakes freeze from top down we all know that ice...Ch. 13 - Lakes freeze from top down we all know that ice...Ch. 13 - Lakes freeze from top down we all know that ice...
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