Physical Universe
16th Edition
ISBN: 9780077862619
Author: KRAUSKOPF, Konrad B. (konrad Bates), Beiser, Arthur
Publisher: Mcgraw-hill Education,
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Question
Chapter 16, Problem 35MC
To determine
The oldest land vertebrates.
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Question 3 of 17
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In the figure above, three uniform thin rods, each of length L, form
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
xcom
L
2
(b) What is the y coordinate of the system's center of mass?
Ycom
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Q Search
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Chapter 16 Solutions
Physical Universe
Ch. 16 - A crack in the earths crust along which movement...Ch. 16 - A long, narrow bay with an irregular outline, such...Ch. 16 - The rugged character of mountain landscapes is...Ch. 16 - The ancient supercontinents Laurasia and Gondwana...Ch. 16 - A mountain range that was not once part of the...Ch. 16 - North America, Greenland, and most of Eurasia once...Ch. 16 - The shell of rigid rock that makes up the earths...Ch. 16 - Compared with the earths crust under the oceans,...Ch. 16 - Compared with the continents, the ocean floors are...Ch. 16 - The ocean floor near a midocean ridge a. has the...
Ch. 16 - According to the hypothesis of seafloor spreading,...Ch. 16 - The number of large plates into which the...Ch. 16 - In the course of 100 years, a lithospheric plate...Ch. 16 - A region where an edge of a lithospheric plate...Ch. 16 - Most volcanoes are found a. where continental...Ch. 16 - The Indian subcontinent a. was always part of Asia...Ch. 16 - Iceland was once a. a coral reef b. magma that...Ch. 16 - The San Andreas Fault in California is the result...Ch. 16 - If the processes of plate tectonics were to stop...Ch. 16 - The theory of evolution is supported by which one...Ch. 16 - An uneven surface on which a horizontal upper bed...Ch. 16 - Prob. 22MCCh. 16 - Prob. 23MCCh. 16 - Fossils are least likely to be found in a....Ch. 16 - Conditions for the preservation of fossils are...Ch. 16 - The division of geologic time into eras and...Ch. 16 - The earth was formed a. in 4004 B.C. b. about 2...Ch. 16 - Prob. 28MCCh. 16 - Precambrian rocks are a. never found b. extremely...Ch. 16 - Living things have been present on the earth a....Ch. 16 - The oxygen in the atmosphere a. was present since...Ch. 16 - Ancient geologic processes as revealed in...Ch. 16 - Coal is composed of a. petrified wood b. buried...Ch. 16 - A bed of coal usually implies that the region was...Ch. 16 - Prob. 35MCCh. 16 - Amphibians, fishes, and marine invertebrates were...Ch. 16 - The dinosaurs were which one or more of the...Ch. 16 - Dinosaurs were abundant in the a. Cenozoic b....Ch. 16 - Prob. 39MCCh. 16 - The leading explanation for the disappearance of...Ch. 16 - The ancestors of the birds were a. reptiles b....Ch. 16 - During the Cenozoic Era a. Laurasia and Gondwana...Ch. 16 - Pangaea broke up into Laurasia and Gondwana, which...Ch. 16 - The line of descent of humans broke away from that...Ch. 16 - The Cenozoic Era represents a period a. of almost...Ch. 16 - During the most recent ice age a. there was a...Ch. 16 - What landscape features are associated with...Ch. 16 - List all the evidence you can for each of the...Ch. 16 - What geologic process is chiefly responsible for...Ch. 16 - Deposits of igneous rocks are found intruded in...Ch. 16 - Why is it believed that the region where the Rocky...Ch. 16 - What kind of biological evidence supports the...Ch. 16 - The eastern coast of South America is a good fit...Ch. 16 - (a) Where was the Tethys Sea located? (b) Are...Ch. 16 - Which of todays continents were once part of...Ch. 16 - Which is denser, the granitic rock of the...Ch. 16 - (a) What is the difference between the earths...Ch. 16 - North America, Greenland, and Eurasia fit quite...Ch. 16 - How do the ages of the ocean floors compare with...Ch. 16 - When continental drift was proposed almost a...Ch. 16 - The energy source of erosional processes is the...Ch. 16 - Where do subduction zones occur? What happens at...Ch. 16 - The Himalayas are the highest mountain range on...Ch. 16 - How does the origin of the Himalayas differ from...Ch. 16 - Which are younger, the Rocky Mountains or the...Ch. 16 - Is the Atlantic Ocean becoming narrower or wider?...Ch. 16 - The San Andreas Fault in California is a...Ch. 16 - In what geological zones are most volcanoes found?Ch. 16 - Which plate collisions are responsible for...Ch. 16 - The distance between the continental shelves of...Ch. 16 - The oldest sediments found on the floor of the...Ch. 16 - In Fig. 16-47, beds A to F consist of sedimentary...Ch. 16 - (a) What is an unconformity? (b) If one is shown...Ch. 16 - What is a fault? If one is shown in Fig. 16-47,...Ch. 16 - What is the basis of the radiocarbon dating...Ch. 16 - The half-life of rubidium-87 is 47 billion years,...Ch. 16 - The half-life of potassium-40 is 1.3 billion...Ch. 16 - Why are fossils still useful in dating rock...Ch. 16 - List as many different kinds of fossils as you...Ch. 16 - Why are most fossils found in beds that were once...Ch. 16 - What is the basis for the division of geologic...Ch. 16 - What is the basis for the division of geologic...Ch. 16 - What is the oldest division of geologic time? In...Ch. 16 - During what divisions of geologic time have living...Ch. 16 - The earths history is sometimes divided into two...Ch. 16 - The early atmosphere of the earth probably...Ch. 16 - Precambrian rocks include sedimentary, igneous,...Ch. 16 - Precambrian rocks are exposed over a large part of...Ch. 16 - What conspicuous difference is there between...Ch. 16 - What are the chief kinds of organisms that have...Ch. 16 - Paleozoic sedimentary rocks derived from marine...Ch. 16 - Which of the following are found in Paleozoic rock...Ch. 16 - Why is it believed that large parts of the United...Ch. 16 - Under what circumstances is coal formed?Ch. 16 - What is believed to be the origin of petroleum? Of...Ch. 16 - What are some of the chief differences between...Ch. 16 - What kind of animals were the dinosaurs? Were they...Ch. 16 - What is believed to be the reason or reasons for...Ch. 16 - From what type of animal did birds evolve? Are...Ch. 16 - About 200 million years ago todays continents were...Ch. 16 - The same reptiles were present on all continents...Ch. 16 - In rocks of what era or eras would you expect to...Ch. 16 - What were the ice ages? When did they occur?Ch. 16 - The Scandinavian landmass of Norway and Sweden has...Ch. 16 - Minnesota has a great many shallow lakes. How do...
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