Foundations of Astronomy
13th Edition
ISBN: 9781305079151
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 26, Problem 9P
The first radio broadcast was made on January 13, 1910. It was a live performance at New York City’s Metropolitan Opera House. Since that time, how far has that radio broadcast traveled in light-years? In the solar neighborhood there is, on average, one star system per 400 cubic light-years. How many star systems could have heard those opera singers? (Note: The volume of a sphere =
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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 \((-180^{\circ},180^{\circ}]\).
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Chapter 26 Solutions
Foundations of Astronomy
Ch. 26 - Explain how astrobiology is a science and not a...Ch. 26 - Prob. 2RQCh. 26 - Prob. 3RQCh. 26 - How does the DNA molecule produce a copy of...Ch. 26 - What would happen to a life-form if the genetic...Ch. 26 - What would happen to a life-form if the genetic...Ch. 26 - What would happen to a life-form if the...Ch. 26 - Describe an example of natural selection acting on...Ch. 26 - Prob. 9RQCh. 26 - What evidence do scientists have that life on...
Ch. 26 - Prob. 11RQCh. 26 - Why is liquid water generally considered necessary...Ch. 26 - Prob. 13RQCh. 26 - What is the difference between chemical evolution...Ch. 26 - Prob. 15RQCh. 26 - Why was Earths early atmosphere able to support...Ch. 26 - Molecules of which gas were needed in Earths...Ch. 26 - Does intelligence make a creature more likely to...Ch. 26 - Prob. 19RQCh. 26 - Prob. 20RQCh. 26 - What is the evidence that the first organisms on...Ch. 26 - Name three locations in our Solar System to search...Ch. 26 - Why are upper-main-sequence (high-luminosity) host...Ch. 26 - Prob. 24RQCh. 26 - How does the stability of technological...Ch. 26 - Prob. 26RQCh. 26 - Prob. 27RQCh. 26 - Why are scientists confident Earth has never been...Ch. 26 - Why does the Drake equation implicitly assume the...Ch. 26 - Prob. 1DQCh. 26 - Prob. 2DQCh. 26 - Prob. 3DQCh. 26 - Prob. 4DQCh. 26 - Prob. 5DQCh. 26 - A single human cell encloses about 1.5 m of DNA....Ch. 26 - If you represent Earths history by a line that is...Ch. 26 - Consider Figure 25-8. What is the ratio of the...Ch. 26 - Suppose a human generation is defined as the...Ch. 26 - If a star must remain on the main sequence for at...Ch. 26 - Prob. 6PCh. 26 - If you detected radio signals with an average...Ch. 26 - Prob. 8PCh. 26 - The first radio broadcast was made on January 13,...Ch. 26 - Prob. 10PCh. 26 - Look at Figure 25-11. Since the time we sent the...Ch. 26 - The star cluster shown in this image contains a...Ch. 26 - If you could search for life in the galaxy shown...
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