FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 37, Problem 3P
You wish to make a round trip from Earth in a spaceship, traveling at constant speed in a straight line for exactly 6 months (as you measure the time interval) and then returning at the same constant speed. You wish further, on your return, to find Earth as it will be exactly 1000 years in the future. (a) To eight significant figures, at what speed parameter ß must you travel? (b) Does it matter whether you travel in a straight line on your journey?
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You are now in 20 years old. You are disappointed with the current situation. So, you decide to leave to the future of Earth. You plan a space journey for 5 years(go in 2.5 years and back in 2.5 years.) with a constant speed relative to Earth. If you wish to reach the Earth after 100 years when you are 25 years old, how fast the speed, you need to set for your spaceship? (Give your answer in 5 significant figures)
According to the Theory of Relativity, the length of an object depends on its velocity v with respect to an observer. For an object whose length at rest is 10 m, its observed length L satisfies the equation
c2L2 + 100v2 = 100c2
where c is 300,000 km/s, the speed of light. (Round your answers to four decimal places.)
(a) Express L as a function of v and c.L =
10√(c+v)(c−v)c
(b) What is the observed length L of a meteor that is 10 m long at rest and that is traveling past the earth at 20,000 km/s?(c) What is the observed length L of a satellite that is 10 m long at rest and that is traveling at 15,000 km/s?(d) What is the net change in the observed length L of an object whose velocity changes from 15,000 km/s to 20,000 km/s?
You wish to make a round trip from Earth in a spaceship, traveling at constant speed in a straight line for exactly 6 months (as you measure the time interval) and then returning at the same constant speed.You wish further, on your return, to find Earth as it will be exactly 1000 years in the future. (a) To eight significant figures, at what speed parameter b must you travel? (b) Does it matter whether you travel in a straight line on your journey?
Chapter 37 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 37 - Sam leaves Venus in a spaceship headed to Mars and...Ch. 37 - The rest energy and total energy, respectively, of...Ch. 37 - While on board a starship, you intercept signals...Ch. 37 - The mean lifetime of stationary muons is measured...Ch. 37 - To eight significant figures, what is speed...Ch. 37 - You wish to make a round trip from Earth in a...Ch. 37 - Come back to the future. Suppose that a father is...Ch. 37 - ILW An unstable high-energy particle enters a...Ch. 37 - The premise of the Planet of the Apes movies and...Ch. 37 - An electron of = 0.999 987 moves along the axis...
Ch. 37 - SSM A spaceship of rest length 130 m races past a...Ch. 37 - A meter stick in frame S' makes an angle of 30...Ch. 37 - A rod lies parallel to the x axis of reference...Ch. 37 - The length of a spaceship is measured to be...Ch. 37 - GO A space traveler takes off from Earth and moves...Ch. 37 - GO The center of our Milky Way galaxy is about 23...Ch. 37 - Observer S reports that an event occurred on the x...Ch. 37 - SSM WWW In Fig. 37-9, the origins of the two...Ch. 37 - An experimenter arranges to trigger two flashbulbs...Ch. 37 - ILW A clock moves along an x axis at a speed of...Ch. 37 - In Fig. 37-9, observer S detects two flashes of...Ch. 37 - In Fig. 37-9, observer 5 detects two flashes of...Ch. 37 - SSM A particle moves along the x' axis of frame S'...Ch. 37 - Galaxy A is reported to be receding from us with a...Ch. 37 - Stellar system Q1 moves away from us at a speed of...Ch. 37 - SSM WWW ILW A spaceship whose rest length is 350 m...Ch. 37 - GO An armada of spaceships that is 1.00 ly long as...Ch. 37 - A sodium light source moves in a horizontal circle...Ch. 37 - SSM A spaceship, moving away from Earth at a speed...Ch. 37 - Prob. 36PCh. 37 - SSM A spaceship is moving away from Earth at speed...Ch. 37 - How much work must be done to increase the speed...Ch. 37 - SSM WWW The mass of an electron is 9.109 381 88 ...Ch. 37 - Prob. 42PCh. 37 - How much work must be done to increase the speed...Ch. 37 - In the reaction p 19F 16O, the masses are mp =...Ch. 37 - In a high-energy collision between a cosmic-ray...Ch. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - GO The mass of a muon is 207 times the electron...Ch. 37 - GO As you read this page on paper or monitor...Ch. 37 - To four significant figures, find the following...Ch. 37 - ILW What must be the momentum of a particle with...Ch. 37 - Apply the binomial theorem Appendix E to the last...Ch. 37 - Prob. 53PCh. 37 - GO What is for a particle with a K = 2.00E0 and b...Ch. 37 - Prob. 55PCh. 37 - a The energy released in the explosion of 1.00 mol...Ch. 37 - Quasars are thought to be the nuclei of active...Ch. 37 - The mass of an electron is 9.109 381 88 1031 kg....Ch. 37 - GO An alpha particle with kinetic energy 7.70 MeV...Ch. 37 - Temporal separation between two events. Events A...Ch. 37 - Spatial separation between two events. For the...Ch. 37 - An airplane has rest length 40.0 m and speed 630...Ch. 37 - SSM To circle Earth in low orbit, a satellite must...Ch. 37 - Prob. 72PCh. 37 - SSM How much work is needed to accelerate a proton...Ch. 37 - A pion is created in the higher reaches of Earths...Ch. 37 - SSM If we intercept an electron having total...Ch. 37 - Prob. 76PCh. 37 - A spaceship at rest in a certain reference frame S...Ch. 37 - Prob. 78PCh. 37 - SSM What is the momentum in MeV/c of an electron...Ch. 37 - The radius of Earth is 6370 km, and its orbital...Ch. 37 - A particle with mass m has speed c/2 relative to...Ch. 37 - An elementary particle produced in a laboratory...Ch. 37 - What are a K, b E, and c p in GeV/c for a proton...Ch. 37 - How much energy is released in the explosion of a...Ch. 37 - What potential difference would accelerate an...Ch. 37 - A Foron cruiser moving directly toward a Reptulian...Ch. 37 - Space cruisers A and B are moving parallel to the...Ch. 37 - In Fig. 37-36, two cruisers fly toward a space...Ch. 37 - A relativistic train of proper length 200 m...
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