EBK PHYSICAL SCIENCE
12th Edition
ISBN: 9781260411393
Author: Tillery
Publisher: MCG COURSE
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Chapter 3, Problem 20PEA
(a)
To determine
Power of hoist motor in kW.
(b)
To determine
Power of hoist motor in hp.
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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 3 Solutions
EBK PHYSICAL SCIENCE
Ch. 3 - According to the definition of mechanical work,...Ch. 3 -
2. The metric unit of a joule (J) is a unit of...Ch. 3 -
3. A N m/s is a unit of...Ch. 3 - Prob. 4ACCh. 3 - Prob. 5ACCh. 3 -
6. A power rating of 1 joule per s is known as a...Ch. 3 -
7. According to PE = mgh, gravitational potential...Ch. 3 -
8. Two cars have the same mass, but one is moving...Ch. 3 - Prob. 9ACCh. 3 -
10. Potential energy and kinetic energy are...
Ch. 3 -
11. Many forms of energy in use today can be...Ch. 3 -
12. In all of our energy uses, we find that...Ch. 3 - Prob. 13ACCh. 3 - Prob. 14ACCh. 3 - Prob. 15ACCh. 3 -
16. The amount of energy generated by...Ch. 3 - Prob. 17ACCh. 3 - Prob. 18ACCh. 3 -
19. A renewable energy source is...Ch. 3 - Prob. 20ACCh. 3 - Prob. 21ACCh. 3 -
22. Which quantity has the greatest influence on...Ch. 3 - Prob. 23ACCh. 3 -
24. Most all energy comes to and leaves Earth in...Ch. 3 -
25. A spring-loaded paper clamp exerts a force of...Ch. 3 -
26. The force exerted when doing work by lifting...Ch. 3 -
27. The work accomplished by lifting an object...Ch. 3 -
28. An iron cannonball and a bowling ball are...Ch. 3 -
29. Two students are poised to dive off...Ch. 3 -
30. A car is moving straight down a highway. What...Ch. 3 - 31. Two identical cars are moving straight down a...Ch. 3 - Prob. 32ACCh. 3 - Prob. 33ACCh. 3 -
34. Today, the basic problem with using solar...Ch. 3 - Prob. 35ACCh. 3 -
36. Petroleum is believed to have formed over...Ch. 3 -
1. How is work related to energy?
Ch. 3 -
2. What is the relationship between the work done...Ch. 3 - Does a person standing motionless in the aisle of...Ch. 3 - Prob. 4QFTCh. 3 -
5. Is a kWh a unit of work, energy, power, or...Ch. 3 -
6. If energy cannot be destroyed, why do some...Ch. 3 -
7. A spring damp exerts a force on a stack of...Ch. 3 -
8. Why are petroleum, natural gas, and coal...Ch. 3 -
9. From time to time, people claim to have...Ch. 3 -
10. Define a joule. What is the difference...Ch. 3 -
11. Compare the energy needed to raise a mass 10...Ch. 3 -
12. What happens to the kinetic energy of a...Ch. 3 -
l. Evaluate the requirement that something must...Ch. 3 -
2. What are the significant similarities and...Ch. 3 -
3. Whenever you do work on something, you give it...Ch. 3 -
4. Simple machines are useful because they are...Ch. 3 -
5. Use the equation for kinetic energy to prove...Ch. 3 -
6. Describe at least several examples of negative...Ch. 3 -
7. The forms of energy are the result of...Ch. 3 -
8. Most technological devices convert one of the...Ch. 3 -
9. Are there any contradictions to the law of...Ch. 3 - A force of 200 N is needed to push a table across...Ch. 3 - Prob. 2PEACh. 3 - How much work is done in raising a 10.0 kg...Ch. 3 - Prob. 4PEACh. 3 - Prob. 5PEACh. 3 - Prob. 6PEACh. 3 - Prob. 7PEACh. 3 - Prob. 8PEACh. 3 - Prob. 9PEACh. 3 - Prob. 10PEACh. 3 - Prob. 11PEACh. 3 - Prob. 12PEACh. 3 - Prob. 13PEACh. 3 - Prob. 14PEACh. 3 - Prob. 15PEACh. 3 - Prob. 16PEACh. 3 - Prob. 17PEACh. 3 - Prob. 18PEACh. 3 - Prob. 19PEACh. 3 - Prob. 20PEACh. 3 -
1. How much work is done when a force of 800.0 N...Ch. 3 -
2. A force of 400.0 N is exerted on a 1,250 N car...Ch. 3 -
3. A 5.0 kg textbook is raised a distance of 30.0...Ch. 3 -
4. An electric hoist does 196,000 J of work in...Ch. 3 -
5. What is the horsepower of a 1,500.0 kg car...Ch. 3 -
6. (a) How many horsepower is a 250 W lightbulb?...Ch. 3 -
7. What is the kinetic energy of a 30–gram bullet...Ch. 3 -
8. How much work will be done by a 30–gram bullet...Ch. 3 -
9. A force of 50.0 lb is used to push a box 10.0...Ch. 3 -
10. (a) How much work is done in raising a 50.0...Ch. 3 -
11. What is the kinetic energy in J of a 60.0 g...Ch. 3 -
12. (a) What is the kinetic energy of a 1,500.0...Ch. 3 -
13. The driver of an 800.0 kg car decides to...Ch. 3 -
14. Compare the kinetic energy of an 800.0 kg car...Ch. 3 -
15. A 175.0 lb hiker is able to ascend a 1,980.0...Ch. 3 -
16. (a) How many seconds will it take a 10.0 hp...Ch. 3 -
17. A ball is dropped from 20.0 ft above the...Ch. 3 -
18. What is the velocity of a 60.0 kg jogger with...Ch. 3 -
19. A small sports car and a pickup truck start...Ch. 3 -
20. A 70.0 kg student runs up the stairs of a...
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- Four capacitors are connected as shown in the figure below. (Let C = 12.0 μF.) a C 3.00 με Hh. 6.00 με 20.0 με HE (a) Find the equivalent capacitance between points a and b. 5.92 HF (b) Calculate the charge on each capacitor, taking AV ab = 16.0 V. 20.0 uF capacitor 94.7 6.00 uF capacitor 67.6 32.14 3.00 µF capacitor capacitor C ☑ με με The 3 µF and 12.0 uF capacitors are in series and that combination is in parallel with the 6 μF capacitor. What quantity is the same for capacitors in parallel? μC 32.14 ☑ You are correct that the charge on this capacitor will be the same as the charge on the 3 μF capacitor. μCarrow_forwardIn the pivot assignment, we observed waves moving on a string stretched by hanging weights. We noticed that certain frequencies produced standing waves. One such situation is shown below: 0 ст Direct Measurement ©2015 Peter Bohacek I. 20 0 cm 10 20 30 40 50 60 70 80 90 100 Which Harmonic is this? Do NOT include units! What is the wavelength of this wave in cm with only no decimal places? If the speed of this wave is 2500 cm/s, what is the frequency of this harmonic (in Hz, with NO decimal places)?arrow_forwardFour capacitors are connected as shown in the figure below. (Let C = 12.0 µF.) A circuit consists of four capacitors. It begins at point a before the wire splits in two directions. On the upper split, there is a capacitor C followed by a 3.00 µF capacitor. On the lower split, there is a 6.00 µF capacitor. The two splits reconnect and are followed by a 20.0 µF capacitor, which is then followed by point b. (a) Find the equivalent capacitance between points a and b. µF(b) Calculate the charge on each capacitor, taking ΔVab = 16.0 V. 20.0 µF capacitor µC 6.00 µF capacitor µC 3.00 µF capacitor µC capacitor C µCarrow_forward
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