Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 13, Problem 20QAP
To determine
The confirmation of theory by gravitation waves.
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17.
Use Cramer's rule to solve for x and t the Lorentz equations of special relativity:
S x' = y(x – vt)
| t' = y(t – væ/c²)
where 7(1 – v²/²) = 1
Caution: Arrange the equations in standard form.
Describe the Galilean Relativity?
Do binary stars (double-star systems that orbit about a common center of mass) radiate gravitational waves? Why or why not?
Chapter 13 Solutions
Understanding Our Universe
Ch. 13.1 - Prob. 13.1CYUCh. 13.2 - Prob. 13.2CYUCh. 13.3 - Prob. 13.3CYUCh. 13.4 - Prob. 13.4CYUCh. 13.5 - Prob. 13.5CYUCh. 13.6 - Prob. 13.6CYUCh. 13 - Prob. 1QAPCh. 13 - Prob. 2QAPCh. 13 - Prob. 3QAPCh. 13 - Prob. 4QAP
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- The special theory of relativity has what effect on measurements done today? (a) None whatsoever, because any correction would be negligible. (b) We need to consider the effects of relativity when objects move close to the speed of light. (c) We should always make a correction for relativity because Newton’s laws are basically wrong. (d) It doesn’t matter, because we can’t make measurements where relativity would matter.arrow_forwardWhat is gravity in the Theory of General Relativity? Group of answer choices The force that can act at a distance between one massive object and another. The interaction of gravity waves between massive objects. The curvature of spacetime created by the effects of mass. The combination of length contraction and time dilation.arrow_forwardWhat fact of nature motivated the development of special relativity? Explain why Galilean relativity is inconsistent with that fact.arrow_forward
- 26. An observer on Earth observes Planet X to be 24 light-years away and stationary. An observer in a spaceship passing Earth on its way to Planet X observes Planet X to be 14.4 light-years away. According to the observer in the spaceship, how much time passes between Earth passing by and Planet X passing by? 28 years 22 years 24 years 18 years 32 yearsarrow_forwardState the fundamental postulates of Special theory of relativity.arrow_forwardWhy are gravitational waves hard to detect and is there a way to simplify the process? How?arrow_forward
- What is the principal difference between the theory of special relativity and the theory of general relativity?arrow_forwardYou take a round trip to the star Sirius, a distance of 8.6 light years away, on board a spacecraft traveling at 99% the speed of light. When you return to Earth, 17.2 years have elapsed on Earth. But due to Einstein's theory of relativity, you will have aged by 172 years 24 years 2.4 years 17.2 years The fastest space probe currently flying (perhaps one of the Voyagers) might be able to reach a nearby star system in about 50,000 years 5,000 years 50 years 500 years Elon Musk of Space-X plans to send a human crew to the nearby Proxima Centauri star system by 2050. True Falsearrow_forwardThe Millennium Falcon is approximately 35.8 m long. There are conflicting reports, but the Falcon made the Kessel Run in approximately 12.86 parsecs. This is an odd unit to measure speed with as a parsec is a unit of length equal to 3.26 light-year. The science FICTION comes in when you consider that ships in Star Wars use hyperdrive to travel faster than the speed of light, so they are able to make jumps through space. Han Solo picked difficult or dangerous points to jump between to make the trip so short. Let's imagine that the Millennium Falcon travels at 0.97c during the 12.86 parsec Kessel Run. What distance, in light-year, does an observer at the finish line measure for the trip? Don't forget to convert parsec to light-year. light-year What distance, in light-year, does Han Solo measure for the trip as he pilots the ship? light-year Which person measures the proper distance of the trip? Which person would measure the proper length of the Millennium Falcon? ✪arrow_forward
- Give the consequences of the Postulates of the General Relativity.arrow_forwardSuppose the proper length of a UFO rocketship is 3475 kilometers, L. Then how fast is the rocketship moving relative to the Earth? Parameter value: L = 530 km Give the value of a = (c - v)/c. OB: OA: 9.999x10-3 1.170x10-2 OC: 1.369x10-2 OD: 1.602x10-2 but its length observed by a telescope on Earth is OE: OF: 1.874x10-2 2.192x10-2 OG: 2.565x10-2 OH: 3.001x10-2arrow_forwardState the difference between special relativity and general relativity.arrow_forward
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