Physical Universe
15th Edition
ISBN: 9780077510534
Author: KRAUSKOPF
Publisher: Mcgraw-hill Higher Education (us)
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Textbook Question
Chapter 1, Problem 12E
The sun, moon, and planets all follow approximately the same path from east to west across the sky. What does this suggest about the arrangement of these members of the solar system in space?
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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 1 Solutions
Physical Universe
Ch. 1 - The scientific method is a. continuing process b....Ch. 1 - A scientific law or theory is valid a. forever b....Ch. 1 - A hypothesis is a. a new scientific idea b. a...Ch. 1 - The ongoing evolution of living things a. is one...Ch. 1 - The object in the sky that apparently moves least...Ch. 1 - A constellation is a. an especially bright star b....Ch. 1 - Which of the following is no longer considered...Ch. 1 - A planet not visible to the naked eye is a. Mars...Ch. 1 - The planet closest to the sun is a. earth b. Venus...Ch. 1 - Prob. 10MC
Ch. 1 - Kepler modified the copernican system by showing...Ch. 1 - The speed of a planet in its orbit around the sun...Ch. 1 - According to Keplers third law, the time needed...Ch. 1 - The law of gravity a. applies only to large bodies...Ch. 1 - The earth bulges slightly at the equator and is...Ch. 1 - The usual tidal pattern in most parts of the world...Ch. 1 - Tides are caused a. only by the sun b. only by the...Ch. 1 - High tide occurs at a given place a. only when the...Ch. 1 - The prefix micro stands for a. 1/10 b. 1/100 c....Ch. 1 - A centimeter is a. 0.001 m b. 0.01 m c. 0.1 m d....Ch. 1 - Of the following, the shortest is a. 1 mm b. 0.01...Ch. 1 - Of the following, the longest is a. 1000 ft b. 500...Ch. 1 - A person is 180 cm tall. This is equivalent to a....Ch. 1 - The measurements of a room are given as length =...Ch. 1 - Prob. 1ECh. 1 - Prob. 2ECh. 1 - What is the difference between a hypothesis and a...Ch. 1 - Prob. 4ECh. 1 - According to the physicist Richard Feynman,...Ch. 1 - What does a year correspond to in terms of...Ch. 1 - You are lost in the northern hemisphere in the...Ch. 1 - In terms of what you would actually observe, what...Ch. 1 - What must be your location if the stars move...Ch. 1 - How do leap years fit into the ptolemaic system?...Ch. 1 - From observations of the moon, why would you...Ch. 1 - The sun, moon, and planets all follow...Ch. 1 - What is the basic difference between the ptolemaic...Ch. 1 - Ancient astronomers were troubled by variations in...Ch. 1 - Compare the ptolemaic and copernican explanations...Ch. 1 - What do you think is the reason scientists use an...Ch. 1 - The average distance from the earth to the sun is...Ch. 1 - As the earth revolves around the sun, some stars...Ch. 1 - Why is gravity considered a fundamental force...Ch. 1 - What, if anything, would happen to the shape of...Ch. 1 - What is the difference between spring and neap...Ch. 1 - The length of the day has varied. When did the...Ch. 1 - The earth takes almost exactly 24 h to make a...Ch. 1 - Does the sun or the moon have the greater...Ch. 1 - In the following pairs of length units, which is...Ch. 1 - A European driving from Paris to Brussels finds...Ch. 1 - The worlds tallest tree is a sequoia in California...Ch. 1 - The diameter of an atom is roughly 104 times the...Ch. 1 - How many square feet are there in an area of 1.00...Ch. 1 - A swimming pool is 20.00 m long, 7.00 m wide, and...Ch. 1 - The speedometer of a European car gives its speed...Ch. 1 - A horse galloped a mile in 2 min 35 s. What was...Ch. 1 - How many microphones are there in a megaphone?Ch. 1 - Use the proper number of significant figures to...Ch. 1 - Prob. 35E
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