EBK THE COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135161753
Author: Voit
Publisher: VST
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Chapter S3, Problem 55EAP
Long Trips at Constant Acceleration: Earth Time. Suppose you stay on Earth and watch a spaceship leave on a long trip at a constant acceleration of 1g.
- At an acceleration of 1g, approximately how long will it take before you see the spaceship traveling away from Earth at half the
speed of light ? Explain. (Use - Describe how you will see its speed change as it continues to accelerate. Will it keep gaining speed at a rate of 9.8 m/s each second? Why or why not?
- Suppose the ship travels to a star that is 500 light-years away. From your perspective on Earth, approximately how long will this trip take? Explain.
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need help with the first part
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 S3 Solutions
EBK THE COSMIC PERSPECTIVE
Ch. S3 - Prob. 1EAPCh. S3 - Prob. 2EAPCh. S3 - Prob. 3EAPCh. S3 - Prob. 4EAPCh. S3 - Prob. 5EAPCh. S3 - What is a space time diagram? Define worldline and...Ch. S3 - 7. How do rules of geometry differ depending on...Ch. S3 - Prob. 8EAPCh. S3 - Prob. 9EAPCh. S3 - 10. According to general relativity, what is...
Ch. S3 - Prob. 11EAPCh. S3 - What is gravitational time dilation. What...Ch. S3 - Prob. 13EAPCh. S3 - Prob. 14EAPCh. S3 - Prob. 15EAPCh. S3 - Does It Make Sense? Decide whether the statement...Ch. S3 - Prob. 17EAPCh. S3 - Prob. 18EAPCh. S3 - Prob. 19EAPCh. S3 - Prob. 20EAPCh. S3 - Prob. 21EAPCh. S3 - Does It Make Sense?
Decide whether the statement...Ch. S3 - Prob. 23EAPCh. S3 - Prob. 24EAPCh. S3 - Prob. 25EAPCh. S3 - Choose the best answer to each of the following....Ch. S3 - Prob. 27EAPCh. S3 - Prob. 28EAPCh. S3 - Prob. 29EAPCh. S3 - Prob. 30EAPCh. S3 - Prob. 31EAPCh. S3 - Prob. 32EAPCh. S3 - Prob. 33EAPCh. S3 - Prob. 34EAPCh. S3 - Prob. 35EAPCh. S3 - Prob. 38EAPCh. S3 - Prob. 39EAPCh. S3 - Prob. 41EAPCh. S3 - Alternative Geometries. Find three everyday...Ch. S3 - Prob. 43EAPCh. S3 - Prob. 44EAPCh. S3 - Prob. 45EAPCh. S3 - Prob. 51EAPCh. S3 - Worldlines at High Speed. Make a spacetime diagram...Ch. S3 - Prob. 53EAPCh. S3 - Prob. 54EAPCh. S3 - Long Trips at Constant Acceleration: Earth Time....Ch. S3 - Prob. 56EAPCh. S3 - Prob. 57EAPCh. S3 - Prob. 58EAPCh. S3 - Gravitational Time Dilation on Earth. For a...Ch. S3 - Gravitational Time Dilation on the Sun. Use the...
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