EBK THE COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135161753
Author: Voit
Publisher: VST
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Chapter 8, Problem 53EAP
What Are the Odds? The fact that all the planets orbit the Sun in the same direction is cited as support for the nebular hypothesis. Imagine that there’s a different hypothesis in which planets can be created orbiting the Sun in either direction. Under this hypothesis, what is the probability that eight planets would end up traveling in the same direction? (Hint: It’s the same probability as that of flipping a coin eight times and getting all heads.)
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A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following.
(a) the time interval during which the ball is in motion
2R
(b) the ball's speed at the peak of its path
v=
Rg 2
√ sin 26, V 3
(c) the initial vertical component of its velocity
Rg
sin ei
sin 20
(d) its initial speed
Rg
√ sin 20
×
(e) the angle 6, expressed in terms of arctan of a fraction.
1
(f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height.
hmax
R2
(g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.
Xmax
R√3
2
An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce.
8
(a) Assuming the ball is always thrown with the same initial speed, at what angle & should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 35.0° with no bounce (green path)?
24
(b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw.
Cone-bounce
no-bounce
0.940
Chapter 8 Solutions
EBK THE COSMIC PERSPECTIVE
Ch. 8 - Prob. 1VSCCh. 8 - Prob. 2VSCCh. 8 - Prob. 3VSCCh. 8 -
Briefly describe the four major features of our...Ch. 8 - What is the nebular theory, and why is it widely...Ch. 8 - What do we mean by the solar nebula? What was it...Ch. 8 -
4. Describe the three key processes that led the...Ch. 8 - List the approximate condensation temperature and...Ch. 8 - What was the frost line? Which ingredients...Ch. 8 - Briefly describe the process by which terrestrial...
Ch. 8 - How was the formation of jovian planets similar to...Ch. 8 - What is the solar wind, and what roles did it play...Ch. 8 - How did planet formation lead to the existence of...Ch. 8 - What was the heavy bombardment, and when did it...Ch. 8 - What is the leading hypothesis for the Moon’s...Ch. 8 - Prob. 13EAPCh. 8 - How old is the solar system, and how do we know?Ch. 8 - Surprising Discoveries? Suppose we found a solar...Ch. 8 - Prob. 16EAPCh. 8 - Surprising Discoveries? Suppose we found a solar...Ch. 8 - Prob. 18EAPCh. 8 - Prob. 19EAPCh. 8 - Prob. 20EAPCh. 8 - Prob. 21EAPCh. 8 - Prob. 22EAPCh. 8 - Prob. 23EAPCh. 8 - Prob. 24EAPCh. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Prob. 28EAPCh. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Prob. 31EAPCh. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Explaining the Past. Is it really possible for...Ch. 8 - Prob. 37EAPCh. 8 - Prob. 38EAPCh. 8 - An Early Solar Wind. Suppose the solar wind had...Ch. 8 - Angular Momentum. Suppose our solar nebula had...Ch. 8 - Two Kinds of Planets. The jovian planets differ...Ch. 8 - Prob. 43EAPCh. 8 - Prob. 44EAPCh. 8 - Prob. 45EAPCh. 8 - Prob. 46EAPCh. 8 - Lucky to Be Here? Considering the overall process...Ch. 8 - Radiometric Dating. You are dating rocks by their...Ch. 8 - Lunar Rocks. You are dating Moon rocks based on...Ch. 8 - Carbon-14 Dating. The half-life of carbon-14 is...Ch. 8 - Prob. 51EAPCh. 8 - Icy Earth. How massive would Earth have to have...Ch. 8 - What Are the Odds? The fact that all the planets...Ch. 8 - Spinning Up the Solar Nebula. The orbital speed of...
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