Physical Science (12th Edition), Standalone Book
12th Edition
ISBN: 9781260150544
Author: Bill W. Tillery
Publisher: McGraw Hill Education
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Chapter 15, Problem 13PEB
Based on Kepler’s third law, what is the distance from the Sun to Mercury?
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
Chapter 15 Solutions
Physical Science (12th Edition), Standalone Book
Ch. 15 -
1. The mass of the Sun is how much larger than...Ch. 15 -
2. The distance from Earth to the Sun is called a...Ch. 15 -
3. What type of planets are Mercury, Venus,...Ch. 15 -
4. Which of the following is most likely found on...Ch. 15 -
5. What is the outermost...Ch. 15 -
6. The planet that was named after the mythical...Ch. 15 -
7. A day on which planet is longer than a year on...Ch. 15 -
8. The day on which planet is about the same time...Ch. 15 -
9. Mars has distinct surface feature-related...Ch. 15 -
10. How many moons orbit...
Ch. 15 -
11. What is the largest planet in our solar...Ch. 15 -
12. Callisto, Europa, Ganymede, and Io...Ch. 15 -
13. The density of Jupiter is
a. 50 percent...Ch. 15 -
14. The only moon in the solar system with a...Ch. 15 -
15. Saturn’s rings are thought to be
a. composed...Ch. 15 -
16. The planet with the lowest average density,...Ch. 15 -
17. The planet that is not a giant...Ch. 15 - Prob. 18ACCh. 15 -
19. Area of the solar system where long-period...Ch. 15 -
20. Short-period comets have orbital periods...Ch. 15 -
21. Remnants of comets and asteroids found in...Ch. 15 -
22. Meteorites are classified into all of the...Ch. 15 -
23. The most widely accepted theory on the origin...Ch. 15 -
24. The belt of asteroids between Mars and...Ch. 15 -
25. Which of the following planets would be...Ch. 15 -
26. Which of the following planets probably still...Ch. 15 -
27. Venus appears the brightest when it is in...Ch. 15 -
28. The small body with a composition and...Ch. 15 -
29. A small body from space that falls on the...Ch. 15 -
30. Planets in our solar system are classified...Ch. 15 -
31. What separates the terrestrial planets from...Ch. 15 -
32. The planet that has the shortest “year” among...Ch. 15 -
33. What planet is called the morning star and...Ch. 15 -
34. Venus “shines” because it is
a. composed of...Ch. 15 -
35. On Venus, the sun rises in the west. This is...Ch. 15 -
36. The “sister” planet to Earth...Ch. 15 -
37. What feature on Mars was considered by some...Ch. 15 -
38. Jupiter radiates twice as much energy as it...Ch. 15 -
39. The Great Red Spot is thought to be
a. a...Ch. 15 -
40. The metallic hydrogen that surrounds the core...Ch. 15 -
41. A shooting star is a...Ch. 15 -
1. Describe the protoplanet nebular model of the...Ch. 15 -
2. What are the basic differences between the...Ch. 15 -
3. Describe the surface and atmospheric...Ch. 15 -
4. What evidence exists that Mars at one time had...Ch. 15 -
5. Describe the internal structure of Jupiter and...Ch. 15 -
6. What are the rings of Saturn?
Ch. 15 -
7. Describe some of the unusual features found on...Ch. 15 -
8. What are the similarities and the differences...Ch. 15 -
9. Give one idea about why the Great Red Spot...Ch. 15 -
10. What is so unusual about the motions and...Ch. 15 -
11. What evidence exists today that the number of...Ch. 15 -
12. Using the properties of the planets other...Ch. 15 -
13. What are “shooting stars”? Where do they come...Ch. 15 -
14. What is an asteroid? What evidence indicates...Ch. 15 -
15. Where do comets come from? Why are...Ch. 15 -
16. What is a meteor? What is the most likely...Ch. 15 -
17. What is a meteorite? What is the most likely...Ch. 15 -
18. Technically speaking, what is wrong with...Ch. 15 -
19. What are the primary differences between the...Ch. 15 -
1. What are the significant similarities and...Ch. 15 - Prob. 2FFACh. 15 -
3. Evaluate the statement that Venus is Earth's...Ch. 15 -
4. Describe the possibility and probability of...Ch. 15 -
5. Provide arguments that Pluto should be...Ch. 15 -
6. Explain why is it difficult to count the...Ch. 15 - Prob. 1IICh. 15 - Prob. 1PEACh. 15 - Prob. 2PEACh. 15 - Prob. 3PEACh. 15 - Prob. 4PEACh. 15 - Prob. 5PEACh. 15 - Prob. 6PEACh. 15 - Prob. 7PEACh. 15 - Prob. 8PEACh. 15 - Prob. 9PEACh. 15 - Prob. 10PEACh. 15 - Prob. 11PEACh. 15 - Prob. 12PEACh. 15 - Prob. 13PEACh. 15 - Prob. 14PEACh. 15 - Prob. 15PEACh. 15 -
1. Based on the density and diameter in km...Ch. 15 - Prob. 2PEBCh. 15 -
3. A scale model of the solar system is being...Ch. 15 -
4. How many times has Uranus rotated on its axis...Ch. 15 -
5. An elementary school class is building a scale...Ch. 15 -
6. A class is building scale models of the...Ch. 15 - Prob. 7PEBCh. 15 -
8. A 1 cm thick piece of lead with a surface area...Ch. 15 -
9. Assume an astronaut at a space station on Mars...Ch. 15 -
10. What is the mass of the Sun, in kilograms,...Ch. 15 -
11. What is the mass of the Sun, in kilograms,...Ch. 15 -
12. Based on Kepler’s third law, what is the...Ch. 15 -
13. Based on Kepler’s third law, what is the...Ch. 15 - Prob. 14PEBCh. 15 -
15. Assuming a circular orbit, what is the...
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