Life in the Universe (4th Edition)
4th Edition
ISBN: 9780134089089
Author: Jeffrey O. Bennett, Seth Shostak
Publisher: PEARSON
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Chapter 3, Problem 53IF
Pluto and Eris. How does the nebular theory explain the origin of objects like Pluto and Eris? How was their formation similar to that of jovian and terrestrial planets, and how was it different?
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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 3 Solutions
Life in the Universe (4th Edition)
Ch. 3 - List three major ideas of astronomy that help...Ch. 3 - Briefly define and describe each of the various...Ch. 3 - Describe the solar system as it looks on the...Ch. 3 - Prob. 4RQCh. 3 - Prob. 5RQCh. 3 - Prob. 6RQCh. 3 - Prob. 7RQCh. 3 - What do we mean when we say that Earth and life...Ch. 3 - Imagine describing the cosmic calendar to a...Ch. 3 - Prob. 10RQ
Ch. 3 - Prob. 11RQCh. 3 - Prob. 12RQCh. 3 - What is the difference between matter in the...Ch. 3 - Define and give examples of kinetic energy,...Ch. 3 - Prob. 15RQCh. 3 - Prob. 16RQCh. 3 - Briefly describe the four major features of our...Ch. 3 - Briefly describe the nebular theory and how it...Ch. 3 - What was the close encounter hypothesis for our...Ch. 3 - How have recent discoveries led scientists to...Ch. 3 - Prob. 21TYUCh. 3 - At a middle school talent show, 14-year-old Sam...Ch. 3 - SETI researchers announced today that if they...Ch. 3 - A noted physicist today announced that he has...Ch. 3 - Prob. 25TYUCh. 3 - Astronomers have discovered a galaxy in the far...Ch. 3 - Inventor John Johnson has patented a device that...Ch. 3 - Prob. 28TYUCh. 3 - Prob. 29TYUCh. 3 - Using new, powerful telescopes, biologists today...Ch. 3 - Prob. 31TYUCh. 3 - Prob. 32TYUCh. 3 - A television advertisement claiming that a product...Ch. 3 - When we say the universe is expanding, we mean...Ch. 3 - Prob. 35TYUCh. 3 - The age of our solar system is about (a) one-third...Ch. 3 - Prob. 37TYUCh. 3 - How many of the planets orbit the Sun in the same...Ch. 3 - Prob. 39TYUCh. 3 - Prob. 40TYUCh. 3 - Explaining the Past. Is it really possible for...Ch. 3 - A Strange Star System. Suppose that we discovered...Ch. 3 - Prob. 44IFCh. 3 - Alien Technology. Some people believe that Earth...Ch. 3 - Atomic Terminology Practice. a. The most common...Ch. 3 - Prob. 49IFCh. 3 - Prob. 50IFCh. 3 - Patterns of Motion. In one or two paragraphs,...Ch. 3 - Two Kinds of Planets. The jovian planets differ...Ch. 3 - Pluto and Eris. How does the nebular theory...Ch. 3 - Rocks from Other Solar Systems. Many leftovers...Ch. 3 - Prob. 55IFCh. 3 - Prob. 56IFCh. 3 - Scale of the Solar System. The real diameters of...Ch. 3 - Prob. 58IFCh. 3 - Prob. 59IFCh. 3 - Prob. 60IFCh. 3 - Prob. 61IFCh. 3 - Prob. 62IFCh. 3 - Prob. 63IFCh. 3 - Prob. 67WPCh. 3 - Tour of the Solar System. Visit one of the many...
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