Pearson eText Conceptual Physical Science -- Instant Access (Pearson+)
6th Edition
ISBN: 9780134857107
Author: Paul Hewitt, John Suchocki
Publisher: PEARSON+
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Chapter 20, Problem 61E
How are ferromagnesian silicates different from nonfer-romagnesian silicates?
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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 20 Solutions
Pearson eText Conceptual Physical Science -- Instant Access (Pearson+)
Ch. 20 - How did density segregation contribute to Earth's...Ch. 20 - What three sources of heat contributed to the...Ch. 20 - What is the most abundant element for Earth as a...Ch. 20 - Prob. 4RCQCh. 20 - What is a mineral?Ch. 20 - What does inorganic in the definition of mineral?Ch. 20 - What physical properties are used to identify...Ch. 20 - Most mineral samples do not display their crystal...Ch. 20 - What is a polymorph?Ch. 20 - What is the difference between a silicate mineral...
Ch. 20 - Silicate minerals are subdivided into...Ch. 20 - What is the most abundant mineral in Earth's...Ch. 20 - Prob. 13RCQCh. 20 - What are two sources from which minerals...Ch. 20 - As minerals crystallize in cooling magma, which...Ch. 20 - When water evaporates from a body of water, what...Ch. 20 - Name the three major types of rocks and describe...Ch. 20 - What are the most common igneous rocks, and where...Ch. 20 - What is meant by partial melting?Ch. 20 - With respect to the silica content of the parent...Ch. 20 - What is the primary determining factor for a...Ch. 20 - In Earths interior, does temperature or decrease...Ch. 20 - Prob. 23RCQCh. 20 - What is a clastic sedimentary rock?Ch. 20 - What are the three most common clastic sedimentary...Ch. 20 - What is the most abundant carbonate rock?Ch. 20 - How are most carbonate rocks formed?Ch. 20 - What is metamorphism? What causes it?Ch. 20 - Distinguish between foliated and nonfoliated...Ch. 20 - In contact metamorphism, water-rich, low-melting...Ch. 20 - Gold has a density of 19.3 g/cm3. A 5-gal pail of...Ch. 20 - Prob. 37TASCh. 20 - Other than location, what is the primary...Ch. 20 - What do we call minerals that have the same...Ch. 20 - The factors that influence bond strength influence...Ch. 20 - Why is color not always the best way to identify a...Ch. 20 - While you are hiking in the wilderness, you find a...Ch. 20 - What makes gold so soft (easily scratched) while...Ch. 20 - Imagine that we have a liquid with a density of...Ch. 20 - Is cleavage the same thing as crystal form? Why or...Ch. 20 - For identifying metallic minerals, why is streak...Ch. 20 - How are minerals classified?Ch. 20 - Silicon is essential for the computer industry in...Ch. 20 - What two minerals make up most of the sand in the...Ch. 20 - What two mineral groups provide most of the ore...Ch. 20 - How are ferromagnesian silicates different from...Ch. 20 - What is an ore?Ch. 20 - If a rock contains mineral A (30% silica) and...Ch. 20 - If a rock contains mineral A (30% silica) and...Ch. 20 - If a magma contains molten forms of mineral A (30%...Ch. 20 - If a magma contains molten forms of mineral A (30%...Ch. 20 - If high-silica minerals are the last to...Ch. 20 - Which of these is a true statement about silicate...Ch. 20 - If a magma contains molten forms of quartz and...Ch. 20 - Are high-silica content minerals "easier" to melt...Ch. 20 - Prob. 71ECh. 20 - If a rock contains both quartz and pyroxene (a...Ch. 20 - Why is halite commonly the last mineral to...Ch. 20 - Is Earth's interior mostly magma? Explain.Ch. 20 - In which parts of Earth's crust (oceanic and/or...Ch. 20 - Are the Hawaiian Islands made up primarily of...Ch. 20 - Why does magma composition change as it cools?Ch. 20 - Is it possible for crystallization to enrich magma...Ch. 20 - Where does most magma originate?Ch. 20 - Prob. 80ECh. 20 - Prob. 81ECh. 20 - How do chemical sediments produce rock? Name two...Ch. 20 - Relate the shape and sorting of sand particles to...Ch. 20 - What general rock feature does a geologist look...Ch. 20 - What feature of clastic sedimentary rock enables...Ch. 20 - Prob. 86ECh. 20 - In what two ways does sediment turn into...Ch. 20 - In a conglomerate rock, why are pebbles of granite...Ch. 20 - Cite two examples of sedimentary rocks that...Ch. 20 - Prob. 90ECh. 20 - Prob. 91ECh. 20 - Can metamorphic rocks exist on an island of purely...Ch. 20 - What patterns of alteration are characteristic of...Ch. 20 - What are the two processes by which rock is...Ch. 20 - What properties of slate make it good roofing...Ch. 20 - Name two mica minerals that can give a metamorphic...Ch. 20 - How is foliation different from sedimentary...Ch. 20 - Why do we find folded and fractured rock layers in...Ch. 20 - What feature helps distinguish schist and gneiss...Ch. 20 - How does gneiss differ from granite?Ch. 20 - Why is schist so easily recognized?Ch. 20 - Which type(s) of rock is (are) made from...Ch. 20 - Which type(s) of rock is (are) made from...Ch. 20 - What is the difference between the minerals that...Ch. 20 - If the volcanic glass obsidian is not considered a...Ch. 20 - We have learned that silica content is a key...Ch. 20 - Which type of rock is most sought by petroleum...Ch. 20 - Prob. 107DQCh. 20 - The silicates are the largest mineral group...Ch. 20 - Compaction and cementation of sediments leads to...Ch. 20 - Why are silicon and oxygen concentrated near...Ch. 20 - Which minerals crystallize first from cooling...Ch. 20 - Prob. 5RATCh. 20 - In a sedimentary rock, the degree of particle...Ch. 20 - The characteristics of regional metamorphism...Ch. 20 - Prob. 8RATCh. 20 - What most strongly influences a minerals hardness?...Ch. 20 - Prob. 10RAT
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