Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Textbook Question
Chapter 11, Problem 20E
Jupiter is denser than water, yet composed for the most part of two light gases, hydrogen and helium. What makes Jupiter as dense as it is?
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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 11 Solutions
Astronomy
Ch. 11 - What are the main challenges involved in sending...Ch. 11 - Why is it difficult to drop a probe like Galileo?...Ch. 11 - Explain why visual observation of the gas giants...Ch. 11 - What are the seasons like on Jupiter?Ch. 11 - What is the consequence of Uranus’ spin axis being...Ch. 11 - Describe the seasons on the planet Uranus.Ch. 11 - At the pressures in Jupiter’s interior, describe...Ch. 11 - Which of the gas giants has the largest icy/rocky...Ch. 11 - In the context of the giant planets and the...Ch. 11 - What is the primary source of Jupiter’s internal...
Ch. 11 - Describe the interior heat source of Saturn.Ch. 11 - Which planet has the strongest magnetic field, and...Ch. 11 - What are the visible clouds on the four giant...Ch. 11 - Compare the atmospheric circulation (weather) of...Ch. 11 - What are the main atmospheric heat sources of each...Ch. 11 - Why do the upper levels of Neptune’s atmosphere...Ch. 11 - How do storms on Jupiter differ from storm systems...Ch. 11 - Describe the differences in the chemical makeup of...Ch. 11 - How did the giant planets grow to be so large?Ch. 11 - Jupiter is denser than water, yet composed for the...Ch. 11 - Would you expect to find free oxygen gas in the...Ch. 11 - Why would a tourist brochure (of the future)...Ch. 11 - The water clouds believed to be present on Jupiter...Ch. 11 - Describe the different processes that lead to...Ch. 11 - Research the Galileo mission. What technical...Ch. 11 - How many times more pressure exists in the...Ch. 11 - Calculate the wind speed at the edge of Neptune’s...Ch. 11 - Calculate how many Earths would fit into the...Ch. 11 - As the Voyager spacecraft penetrated into the...Ch. 11 - The ions in the inner parts of Jupiter’s...
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