Essential Cosmic Perspective, The, Books a la Carte Edition (8th Edition)
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ISBN: 9780134532455
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 7, Problem 1EAP
To determine
To describe:
The core-mantle-crust structures of the terrestrial worlds, what is Lithosphere? What is Differentiation?
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Draw a right-handed 3D Cartesian coordinate system (= x, y and z axes). Show a vector A with
tail in the origin and sticking out in the positive x, y and z directions. Show the angles between A
and the positive x, y and z axes, and call these angles α₁, α₂ and α3
Prove that Ax Acos α₁
Ay
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solve for Vo
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
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C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Chapter 7 Solutions
Essential Cosmic Perspective, The, Books a la Carte Edition (8th Edition)
Ch. 7 - Prob. 1VSCCh. 7 - Prob. 2VSCCh. 7 - Prob. 3VSCCh. 7 - Prob. 4VSCCh. 7 - Prob. 1EAPCh. 7 - Prob. 2EAPCh. 7 - Prob. 3EAPCh. 7 - Prob. 4EAPCh. 7 - Prob. 5EAPCh. 7 - Prob. 6EAP
Ch. 7 - Prob. 7EAPCh. 7 - Prob. 8EAPCh. 7 - Prob. 9EAPCh. 7 - Prob. 10EAPCh. 7 - Prob. 11EAPCh. 7 - Prob. 12EAPCh. 7 - Prob. 13EAPCh. 7 - Prob. 14EAPCh. 7 - Prob. 15EAPCh. 7 - What is the carbon dioxide cycle, and why is it so...Ch. 7 - Prob. 17EAPCh. 7 - Prob. 18EAPCh. 7 - Prob. 19EAPCh. 7 - Prob. 20EAPCh. 7 - Prob. 21EAPCh. 7 - A new orbital photograph of Mars shows a crater...Ch. 7 - Clear-cutting in the Amazon rain forest on Earth...Ch. 7 - Drilling into the Martian surface, a robotic...Ch. 7 - Prob. 25EAPCh. 7 - Prob. 26EAPCh. 7 - Prob. 27EAPCh. 7 - Prob. 28EAPCh. 7 - Prob. 29EAPCh. 7 - Prob. 30EAPCh. 7 - Prob. 31EAPCh. 7 - Which describes our understanding of flowing water...Ch. 7 - Prob. 33EAPCh. 7 - Prob. 34EAPCh. 7 - Prob. 35EAPCh. 7 - Prob. 36EAPCh. 7 - Prob. 37EAPCh. 7 - Prob. 38EAPCh. 7 - Prob. 39EAPCh. 7 - Prob. 40EAPCh. 7 - Unanswered Questions. Choose one important but...Ch. 7 - Prob. 42EAPCh. 7 - Miniature Mars. Suppose Mars had turned out to be...Ch. 7 - Two Paths Diverged. Briefly explain how the...Ch. 7 - Change in Formation Properties. Consider either...Ch. 7 - Experiment: Planetary Cooling in a Freezer. Fill...Ch. 7 - Prob. 47EAPCh. 7 - Prob. 48EAPCh. 7 - Prob. 49EAPCh. 7 - Prob. 50EAPCh. 7 - Prob. 51EAPCh. 7 - Prob. 52EAPCh. 7 - Prob. 53EAPCh. 7 - Prob. 54EAPCh. 7 - Prob. 55EAPCh. 7 - Prob. 56EAPCh. 7 - Prob. 57EAPCh. 7 - Prob. 58EAP
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