
College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 13, Problem 9MCP
To determine
The density of the spherical object after it compressed to half of its diameter.
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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
Sketch the harmonic.
For number 11 please sketch the harmonic on graphing paper.
Chapter 13 Solutions
College Physics (10th Edition)
Ch. 13 - A clear plastic hose is attached to the narrow end...Ch. 13 - Equation 13.5 shows that an area ratio of 100 to 1...Ch. 13 - Suppose the door of a room makes an airtight, but...Ch. 13 - When a smooth-flowing stream of water comes out of...Ch. 13 - You push an empty glass jar into a tank of water...Ch. 13 - A very smooth wooden block is pressed against the...Ch. 13 - A marble is in a little box that is floating in a...Ch. 13 - If a rocketship traveling through the vacuum of...Ch. 13 - There is a great deal of ice floating on the...Ch. 13 - Submarines can remain at equilibrium at various...
Ch. 13 - You are told, Bernoullis equation tells us that...Ch. 13 - A helium-filled balloon is tied to a light string...Ch. 13 - Which has a greater buoyant force on it, a 25 cm3...Ch. 13 - A mass of sunken lead is resting against the...Ch. 13 - Two equal-mass pieces of metal are sitting side by...Ch. 13 - Prob. 4MCPCh. 13 - A horizontal cylindrical pipe has a part with a...Ch. 13 - If the absolute pressure at a depth d in a lake is...Ch. 13 - Prob. 7MCPCh. 13 - A rigid metal object is dropped into a lake and...Ch. 13 - Prob. 9MCPCh. 13 - Identical-size cubes of lead and aluminum are...Ch. 13 - Two small holes are drilled in the side of a...Ch. 13 - Prob. 12MCPCh. 13 - You purchase a rectangular piece of metal that has...Ch. 13 - A kidnapper demands a 40.0 kg cube of platinum as...Ch. 13 - Calculate the weight of air at 20C in a room that...Ch. 13 - By how many newtons do you increase the weight of...Ch. 13 - How big is a million dollars? At the time this...Ch. 13 - A cube 5.0 cm on each side is made of a metal...Ch. 13 - A cube of compressible material (such as Styrofoam...Ch. 13 - A hollow cylindrical copper pipe is 1.50 m long...Ch. 13 - A uniform lead sphere and a uniform aluminum...Ch. 13 - Prob. 10PCh. 13 - Blood, (a) Mass of blood. The human body typically...Ch. 13 - Landing on Venus. One of the great difficulties in...Ch. 13 - You are designing a manned submersible to...Ch. 13 - Glaucoma. Under normal circumstances, the vitreous...Ch. 13 - A 1-m-tall glass tube is placed on the moon and...Ch. 13 - What gauge pressure must a pump produce to pump...Ch. 13 - Intravenous feeding. A hospital patient is being...Ch. 13 - A 975-kg car has its tires each inflated to 32.0...Ch. 13 - An electrical short cuts off all power to a...Ch. 13 - Standing on your head. (a) When you stand on your...Ch. 13 - You are designing a machine for a space...Ch. 13 - Ear damage from diving. If the force on the...Ch. 13 - A barrel contains a 0.120 m layer of oil of...Ch. 13 - Blood pressure. Systemic blood pressure is...Ch. 13 - The piston of a hydraulic automobile lift is 0.30...Ch. 13 - Prob. 27PCh. 13 - There is a maximum depth at which a diver can...Ch. 13 - A solid aluminum ingot weighs 89 N in air. (a)...Ch. 13 - A block of wood has a density of 700 kg/m3. It is...Ch. 13 - When an open-faced boat has a mass of 5750 kg,...Ch. 13 - An ore sample weighs 17.50 N in air. When the...Ch. 13 - A slab of ice floats on a freshwater lake. What...Ch. 13 - Using data from Appendix E, calculate the average...Ch. 13 - A hollow plastic sphere is held below the surface...Ch. 13 - (a) Calculate the buoyant force of air (density...Ch. 13 - The tip of the iceberg. Icebergs consist of...Ch. 13 - At 20C, the surface tension of water is 0.073 N/m....Ch. 13 - Find the gauge pressure in pascals inside a soap...Ch. 13 - What radius must a water drop have for the...Ch. 13 - At 20C, the surface tension of water is 0.0728 N/m...Ch. 13 - An irrigation canal has a rectangular cross...Ch. 13 - Water is flowing in a pipe with a varying...Ch. 13 - Water is flowing in a cylindrical pipe of varying...Ch. 13 - A shower head has 20 circular openings, each with...Ch. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - A sealed tank containing seawater to a height of...Ch. 13 - What gauge pressure is required in the city water...Ch. 13 - At one point in a pipeline, the waters speed is...Ch. 13 - Lift on an airplane. Air streams horizontally past...Ch. 13 - A golf course sprinkler system discharges water...Ch. 13 - Water discharges from a horizontal cylindrical...Ch. 13 - Prob. 54PCh. 13 - At a certain point in a horizontal pipeline, the...Ch. 13 - Advertisements for a certain small car claim that...Ch. 13 - A U-shaped tube open to the air at both ends...Ch. 13 - A swimming pool is 3 m wide and 6 m long. The...Ch. 13 - A piece of wood is 0.600 m long. 0.250 m wide, and...Ch. 13 - A hot-air balloon has a volume of 2200 m3. The...Ch. 13 - In seawater, a life preserver with a volume of...Ch. 13 - Block A in Figure 13.43 hangs by a cord from...Ch. 13 - A hunk of aluminum is completely covered with a...Ch. 13 - An industrial waste tank contains a layer of...Ch. 13 - An open cylindrical tank of acid rests at the edge...Ch. 13 - Water stands at a depth H in a large, open tank...Ch. 13 - Prob. 67GPCh. 13 - The horizontal pipe shown in Figure 13.45 has a...Ch. 13 - Venturi meter. The Venturi meter is a device used...Ch. 13 - Elephants under pressure. An elephant can swim or...Ch. 13 - Prob. 71PPCh. 13 - Elephants under pressure. An elephant can swim or...Ch. 13 - Prob. 73PP
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