The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Question
Chapter S2, Problem 1EAP
To determine
The definition of theory of relativity and explain how does special relativity differ from general relativity.
Expert Solution & Answer
Explanation of Solution
Introduction:
Albert
General relativity and special relativity are combiningly called as Theory of relativity.
Special relativity is based on two postulates, they are:
- Laws of physics are invariant in all inertial frames of reference
- The
speed of light in vacuum will remain constant for all observers, irrespective of the motion of light source.
Based on these postulates Einstein theorized that time must vary according to the speed of the moving object in order to keep the velocity of light invariant and this holds true in special case, the absence of gravitational field.
General relativity generalizes special relativity and Newton’s law of universal gravitation giving unified explanation of gravity as a geometric property of space-time. It proposes gravity is not a force as understood by Newtonian physics, but a curved field in space-time continuum that is created by presence of mass. In specific curvature of space-time is directly related to energy and momentum of matter/
Conclusion:
General relativity explains the curvature of space-time with the help of laws of gravity and special relativity is a special case of general relativity that is when gravity is absent. These two theories together known as general theory of relativity.
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Students have asked these similar questions
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 S2 Solutions
The Cosmic Perspective (9th Edition)
Ch. S2 - Prob. 1EAPCh. S2 - Prob. 2EAPCh. S2 - Prob. 3EAPCh. S2 - Prob. 4EAPCh. S2 - Prob. 5EAPCh. S2 - Suppose you see a friend moving by you at some...Ch. S2 - Prob. 7EAPCh. S2 - Prob. 8EAPCh. S2 - Prob. 9EAPCh. S2 - Prob. 10EAP
Ch. S2 - 11. What is mass increase? How does the mass of an...Ch. S2 - Prob. 12EAPCh. S2 - Prob. 13EAPCh. S2 - Prob. 14EAPCh. S2 - Prob. 15EAPCh. S2 - Prob. 16EAPCh. S2 - Prob. 17EAPCh. S2 - Prob. 18EAPCh. S2 - Prob. 19EAPCh. S2 - Prob. 20EAPCh. S2 - Prob. 21EAPCh. S2 - Prob. 22EAPCh. S2 - Prob. 23EAPCh. S2 - Does It Make Sense? Decide whether the statement...Ch. S2 - Does It Make Sense? Decide whether the statement...Ch. S2 - Prob. 26EAPCh. S2 - Prob. 27EAPCh. S2 - Prob. 28EAPCh. S2 - Prob. 29EAPCh. S2 - Prob. 30EAPCh. S2 - Choose the best answer to each of the following....Ch. S2 - Prob. 32EAPCh. S2 - Prob. 33EAPCh. S2 - 34. What provides the strongest evidence that...Ch. S2 - Prob. 35EAPCh. S2 - Prob. 36EAPCh. S2 - Prob. 38EAPCh. S2 - Prob. 39EAPCh. S2 - Prob. 40EAPCh. S2 - Prob. 42EAPCh. S2 - Prob. 43EAPCh. S2 - Prob. 44EAPCh. S2 - Relative Motion Practice II. In all the following,...Ch. S2 - Prob. 46EAPCh. S2 - Prob. 47EAPCh. S2 - Prob. 48EAPCh. S2 - Prob. 49EAPCh. S2 - Time Dilation. A student, after learning about the...Ch. S2 - Length Contraction. Marta has a spaceship that...Ch. S2 - Mass Increase. A spaceship has a rest mass of...Ch. S2 - Time Dilation with Subatomic Particles. A + meson...Ch. S2 - Time Dilation on the Space Station. The...Ch. S2 - Prob. 56EAPCh. S2 - Racing a Light Beam II. Following his humiliation...
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