Life in the Universe (4th Edition)
4th Edition
ISBN: 9780134089089
Author: Jeffrey O. Bennett, Seth Shostak
Publisher: PEARSON
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Textbook Question
Chapter 13, Problem 55IF
Relativistic Time Dilation. Use the time dilation equation from Cosmic Calculations 13.2 to answer each of the following questions.
- a. Suppose a rocket travels at the escape velocity from Earth (11 km/s). Will time on the rocket differ noticeably from time on Earth? Explain.
- b. Suppose a rocket travels at a speed of 0.9c. If the rocket is gone from Earth for 10 years as measured on Earth, how much time passes on the rocket?
- c. Suppose a rocket travels at a speed of 0.9999c. If the rocket is gone from Earth for 10 years as measured on Earth, how much time passes on the rocket?
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TOPIC
Special Theory of Relativity
Intro, Time Dilation & Length Contraction
A. TRUE OR FALSE. Explain your answer in one sentence.
1. The special theory of relativity is based on inertial frame of reference.
2. If a flashlight is emitted in a running train, the speed of light will be greater than c.
3. Time dilation and length contraction is not observed if the speed of an object being
observed is very slow compared to the speed of light because it is not happening at this
speed.
4. The twin who travelled at a very fast speed will age slower than his twin brother.
5. A car that travels at 0.85c will appear longer than when measured at rest.
B. PROBLEM SOLVING. State the given data and the unknown required to be solved.
Show the solution and express your final answer with correct number of significant
digits.
1. A certain particle has a lifetime of 1.00 x 10-7 s when measured at rest.
(a) What is its lifetime when moving at 0.99c?
(b) How far does it go before decaying?
2. A 28-year…
Physics
3. What is the relativistic addition of velocity? Derive the addition of velocity in classical mechanics from the relativistic one. Please give an example in calculating relative velocity in the relativistic region.
4. Consider the two typical consequences of the Lorentz transformations: moving rods contract (length contraction) and moving clocks run slow (time dilation). If we replace v = -v in the two formulas above, we will get the same results.Please explain the physical meaning of the results.
Chapter 13 Solutions
Life in the Universe (4th Edition)
Ch. 13 - Prob. 1RQCh. 13 - How does the speed of light affect the possibility...Ch. 13 - Prob. 3RQCh. 13 - Prob. 4RQCh. 13 - What is the rocket equation used for? Based on the...Ch. 13 - Prob. 6RQCh. 13 - Discuss a few ways of reaching the stars (other...Ch. 13 - How would time dilation affect space travel at...Ch. 13 - Prob. 9RQCh. 13 - What is the Fermi paradox? What two seemingly...
Ch. 13 - Why does it seem that other civilizations, if they...Ch. 13 - What arc Von Neumann machines? How do they affect...Ch. 13 - Describe the coral model of galactic colonization....Ch. 13 - Briefly discuss possible motives for galactic...Ch. 13 - Summarize the three general categories of possible...Ch. 13 - Briefly discuss the profound implications of the...Ch. 13 - What known problems were solved when Einstein...Ch. 13 - Prob. 18RQCh. 13 - Besides the idea that you cannot reach the speed...Ch. 13 - Prob. 20RQCh. 13 - Prob. 21TYUCh. 13 - Prob. 22TYUCh. 13 - Each of the following describes some futuristic...Ch. 13 - Prob. 24TYUCh. 13 - Prob. 25TYUCh. 13 - Prob. 26TYUCh. 13 - Prob. 27TYUCh. 13 - Prob. 28TYUCh. 13 - Prob. 29TYUCh. 13 - Prob. 30TYUCh. 13 - Prob. 31TYUCh. 13 - The amount of energy that would be needed to...Ch. 13 - The rocket engines of our current spacecraft are...Ch. 13 - Suppose that a spaceship was launched in the year...Ch. 13 - Prob. 35TYUCh. 13 - Prob. 36TYUCh. 13 - Which of the following questions best represents...Ch. 13 - Prob. 38TYUCh. 13 - Which of the following is not relative in the...Ch. 13 - Prob. 40TYUCh. 13 - Prob. 41POSCh. 13 - Prob. 42POSCh. 13 - Prob. 44IFCh. 13 - What's Wrong with This Picture? Many science...Ch. 13 - Large Rockets. Suppose we built a rocket that...Ch. 13 - Prob. 47IFCh. 13 - Solution to the Fermi Paradox. Among the various...Ch. 13 - Prob. 50IFCh. 13 - Cruise Ship Energy. Suppose we have a spaceship...Ch. 13 - Prob. 52IFCh. 13 - The Multistage Rocket Equation. The rocket...Ch. 13 - Relativistic Time Dilation. Use the time dilation...Ch. 13 - Testing Relativity. A + meson produced at rest has...Ch. 13 - Prob. 57IFCh. 13 - Prob. 58IFCh. 13 - Prob. 59IFCh. 13 - Prob. 60IFCh. 13 - The Turning Point. Discuss the idea that the...
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