The Cosmic Perspective
7th Edition
ISBN: 9780321839558
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: Addison-Wesley
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Chapter 24, Problem 39EAP
Habitable Planets? Roles: Scribe (takes notes on the group’s activities), Proposer (proposes explanations to the group), Skeptic (points out weaknesses in proposed explanations), Moderator (leads group discussion and makes sure everyone contributes). Activity: List the hypothetical planets described below in order from most likely to support life to Least likely to support life, and explain your reasons for each ranking.
a. a planet orbiting a star of spectral type B (approximately 10 solar masses) in a circular orbit and having an expected average temperature of 300 K b. a planet orbiting a Sun-like star in a circular orbit at a distance twice Earth’s orbital distance from the Sun c. a planet orbiting a star with a luminosity one-quarter the Sun’s luminosity in a circular orbit at a distance one- half Earth’s orbital distance from the Sun d. a planet orbiting a Sun-like star in an elliptical orbit ranging from Earth’s orbital distance to 10 times Earth’s orbital distance from the Sun
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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 24 Solutions
The Cosmic Perspective
Ch. 24 - Prob. 1VSCCh. 24 - Prob. 2VSCCh. 24 - Prob. 3VSCCh. 24 - Prob. 4VSCCh. 24 - Prob. 5VSCCh. 24 - Prob. 6VSCCh. 24 - Prob. 1EAPCh. 24 - Prob. 2EAPCh. 24 - Prob. 3EAPCh. 24 - Prob. 4EAP
Ch. 24 - How are laboratory experiments helping us study...Ch. 24 - Prob. 6EAPCh. 24 - Prob. 7EAPCh. 24 - Prob. 8EAPCh. 24 - Prob. 9EAPCh. 24 - Prob. 10EAPCh. 24 - Prob. 11EAPCh. 24 - Prob. 12EAPCh. 24 - Prob. 13EAPCh. 24 - Prob. 14EAPCh. 24 - Prob. 15EAPCh. 24 - Prob. 16EAPCh. 24 - Prob. 17EAPCh. 24 - For each of the following futuristic scenarios,...Ch. 24 - Prob. 19EAPCh. 24 - Prob. 20EAPCh. 24 - Prob. 21EAPCh. 24 - Prob. 22EAPCh. 24 - Prob. 23EAPCh. 24 - Prob. 24EAPCh. 24 - Prob. 25EAPCh. 24 - Prob. 26EAPCh. 24 - Choose the best answer to each of the following....Ch. 24 - Choose the best answer to each of the following....Ch. 24 - Choose the best answer to each of the following....Ch. 24 - Choose the best answer to each of the following....Ch. 24 - Choose the best answer to each of the following....Ch. 24 - Prob. 32EAPCh. 24 - Choose the best answer to each of the following....Ch. 24 - Prob. 34EAPCh. 24 - Choose the best answer to each of the following....Ch. 24 - Prob. 36EAPCh. 24 - Prob. 37EAPCh. 24 - Prob. 38EAPCh. 24 - Habitable Planets? Roles: Scribe (takes notes on...Ch. 24 - Prob. 40EAPCh. 24 - Statistics of One. Much of the search for life in...Ch. 24 - 42. Most Likely to Have Life. Suppose you were...Ch. 24 - Prob. 43EAPCh. 24 - Prob. 44EAPCh. 24 - Prob. 45EAPCh. 24 - Prob. 46EAPCh. 24 - Prob. 47EAPCh. 24 - Prob. 48EAPCh. 24 - Prob. 49EAPCh. 24 - Prob. 50EAPCh. 24 - Prob. 51EAPCh. 24 - Prob. 52EAPCh. 24 - Funding the Search for Life. Imagine that you are...Ch. 24 - Prob. 54EAPCh. 24 - Prob. 55EAPCh. 24 - Astrobiology News. Go to NASA’s astrobiology site...Ch. 24 - Prob. 57EAPCh. 24 - The Search for Extraterrestrial Intelligence....Ch. 24 - Prob. 59EAPCh. 24 - Prob. 60EAP
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