Pearson eText Conceptual Physical Science -- Instant Access (Pearson+)
6th Edition
ISBN: 9780134857107
Author: Paul Hewitt, John Suchocki
Publisher: PEARSON+
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Chapter 23, Problem 2RCQ
What six principles are used in relative dating? Describe each one.
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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 23 Solutions
Pearson eText Conceptual Physical Science -- Instant Access (Pearson+)
Ch. 23 - Prob. 1RCQCh. 23 - What six principles are used in relative dating?...Ch. 23 - A granitic dike is found across a sandstone layer....Ch. 23 - Why dont all rock formations show a continuous...Ch. 23 - How are fossils used in determining geologic time?Ch. 23 - In a sequence of sedimentary rock layers, the...Ch. 23 - Prob. 7RCQCh. 23 - What is radioactive half-life?Ch. 23 - What are the half-lives of uranium-238,...Ch. 23 - Prob. 10RCQ
Ch. 23 - Prob. 11RCQCh. 23 - Which of the geologic time units spans the...Ch. 23 - Prob. 13RCQCh. 23 - What key developments in life occurred during...Ch. 23 - What evidence do we have of Precambrian life?Ch. 23 - The Paleozoic era experienced several fluctuations...Ch. 23 - Prob. 17RCQCh. 23 - Prob. 18RCQCh. 23 - What life forms are associated with the Devonian...Ch. 23 - Why are internal nostrils in the lobe-finned...Ch. 23 - Why do many geologists consider the lobe-finned...Ch. 23 - During what time period were most coal deposits...Ch. 23 - In what area of the United States do we find rich...Ch. 23 - What group evolved from the amphibians with the...Ch. 23 - Prob. 25RCQCh. 23 - What is the most likely cause of the Cretaceous...Ch. 23 - What effect did the breakup of Pangaea have on sea...Ch. 23 - How is the element iridium related to the time of...Ch. 23 - Which epochs make up the Tertiary period? The...Ch. 23 - What important life forms evolved during the...Ch. 23 - Refer to the accompanying figure. Using the...Ch. 23 - On a cross section, a dark wavy line is used to...Ch. 23 - If fine muds were laid down at a rate of 1 cm/1000...Ch. 23 - With the formation of Pangaea, disconnected...Ch. 23 - The decay of radioactive elements to stable...Ch. 23 - Going from oldest to youngest, rank these life...Ch. 23 - The geologic time scale is subdivided into eons,...Ch. 23 - Prob. 38TARCh. 23 - Throughout geologic time there have been several...Ch. 23 - Throughout geologic time there have been many...Ch. 23 - The Cenozoic is known for many tectonic events. In...Ch. 23 - Each period of the Paleozoic saw marked changes in...Ch. 23 - Prob. 43TARCh. 23 - If a sedimentary rock contains inclusions of...Ch. 23 - Granitic pebbles within a sedimentary rock have a...Ch. 23 - Two isolated rock outcrops share a few similar...Ch. 23 - Suppose that in an undeformed sequence of rocks,...Ch. 23 - In a sequence of sedimentary rock layers, the...Ch. 23 - What is the difference between a nonconformity and...Ch. 23 - Prob. 50ECh. 23 - What general assumption must be made to understand...Ch. 23 - Suppose you see a sequence of sedimentary rock...Ch. 23 - In dating a mineral, what is meant by resetting...Ch. 23 - A radiometric date is determined from mica that...Ch. 23 - If we divide a number by 2, and then divide the...Ch. 23 - Which isotopes are most appropriate for dating...Ch. 23 - Has the amount of uranium in Earth increased over...Ch. 23 - Before the discovery of radioactivity, how did...Ch. 23 - In the geologic time scale, which time division...Ch. 23 - What is the basis for the division of the geologic...Ch. 23 - What factors are believed to have contributed to...Ch. 23 - Prob. 62ECh. 23 - Prob. 63ECh. 23 - How did the Precambrian atmosphere become...Ch. 23 - Why is it difficult to find fossils in Precambrian...Ch. 23 - What are strematolites, and what is their...Ch. 23 - Prob. 67ECh. 23 - Prob. 68ECh. 23 - Prob. 69ECh. 23 - Prob. 70ECh. 23 - Prob. 71ECh. 23 - Coal beds form from the accumulation of plant...Ch. 23 - Prob. 73ECh. 23 - What can cause a rise in sea level? Is this likely...Ch. 23 - What are some potential worldwide consequences...Ch. 23 - What is the significance of an amniote egg?Ch. 23 - Prob. 77ECh. 23 - What effect did the breakup of Pangaea have on...Ch. 23 - Was there a time when dinosaurs and humans...Ch. 23 - Prob. 80ECh. 23 - Prob. 81ECh. 23 - How does basaltic lava in a rift zone separate two...Ch. 23 - Prob. 83ECh. 23 - What is the Anthropocene epoch?Ch. 23 - Prob. 85ECh. 23 - Prob. 86ECh. 23 - What event allowed the evolution of many mammals...Ch. 23 - Prob. 88ECh. 23 - Prob. 89ECh. 23 - Prob. 90ECh. 23 - Prob. 91ECh. 23 - Prob. 92ECh. 23 - How old are the oldest rocks on Earth? About how...Ch. 23 - During Earth's long history, life has emerged and...Ch. 23 - Prob. 95ECh. 23 - Prob. 96ECh. 23 - Prob. 97DQCh. 23 - How have modern humans affected geologic...Ch. 23 - Prob. 99DQCh. 23 - Prob. 100DQCh. 23 - The principle of superposition is that each new...Ch. 23 - Life forms throughout Earths past have emerged in...Ch. 23 - The time it takes for 50% of a radioactive...Ch. 23 - Development of Earths oceans was probably due to...Ch. 23 - Prob. 5RATCh. 23 - The Paleozoic experienced several fluctuations in...Ch. 23 - The most important event during the Cambrian...Ch. 23 - The formation of the supercontinent of Pangaea (a)...Ch. 23 - Prob. 9RATCh. 23 - The creation of the San Andreas Fault corresponded...
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