Cosmic Perspective Fundamentals
3rd Edition
ISBN: 9780134988504
Author: Bennett, Jeffrey O., Donahue, M. (megan), SCHNEIDER, Nicholas, Voit, Mark
Publisher: Pearson,
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Chapter 12, Problem 17SEQ
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) designates a quantitative problem, for which you should show all your work.
Lookback Time and the Ages of Galaxies. Suppose you observe a distant galaxy with a lookback time of 10 billion years. What was the maximum possible age of that galaxy when the light we are now observing from it began its journey to Earth? Explain your reasoning. (Hint: Assume the galaxy was born less than a billion years after the Big Bang.)
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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 12 Solutions
Cosmic Perspective Fundamentals
Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Prob. 2QQCh. 12 - Prob. 3QQCh. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....
Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Choose the best answer to each of the following....Ch. 12 - Prob. 13SEQCh. 12 - Explain all answers clearly, with complete...Ch. 12 - Explain all answers clearly, with complete...Ch. 12 - Explain all answers clearly, with complete...Ch. 12 - Explain all answers clearly, with complete...Ch. 12 - Explain all answers clearly, with complete...Ch. 12 - Explain all answers clearly, with complete...Ch. 12 - Explain all answers clearly, with complete...
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