Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 33, Problem 63P
Show from the Lorentz transformations that the spacetime interval of Equation 33.6 has the same value in all reference frames.
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Essential University Physics: Volume 2 (3rd Edition)
Ch. 33.2 - Prob. 33.1GICh. 33.4 - Triplets A and B board spaceships and head away...Ch. 33.5 - A comet plunges into the planet Jupiter. At the...Ch. 33.7 - The rest energy of a proton is 938 MeV. Without...Ch. 33 - Why was the Michelson-Morley experiment a more...Ch. 33 - Why was it necessary to repeat the...Ch. 33 - Prob. 3FTDCh. 33 - Does relativity require that the speed of sound be...Ch. 33 - Time dilation is sometimes described by saying...Ch. 33 - If youre in a spaceship moving at 0.95c relative...
Ch. 33 - The Andromeda Galaxy is 2 million light years from...Ch. 33 - Prob. 8FTDCh. 33 - Prob. 9FTDCh. 33 - The rest energy of an electron is 511 keV. Whats...Ch. 33 - An atom in an excited state emits a burst of...Ch. 33 - The quantity EB is invariant. What does this say...Ch. 33 - An airplane makes a round trip between two points...Ch. 33 - Consider a Michelson-Morley experiment with 11-m...Ch. 33 - Two stars are 50 ly apart, measured in their...Ch. 33 - How long would it take a spacecraft traveling at...Ch. 33 - A spaceship passes by you at half the speed of...Ch. 33 - An extraterrestrial spacecraft whizzes through the...Ch. 33 - How fast would you have to move relative to a...Ch. 33 - A hospitals linear accelerator produces electron...Ch. 33 - Prob. 21ECh. 33 - At what speed will the momentum of a proton (mass...Ch. 33 - Prob. 23ECh. 33 - A particle is moving at 0.90c. If its speed...Ch. 33 - Find (a) the total energy and (b) the kinetic...Ch. 33 - At what speed will the relativistic and Newtonian...Ch. 33 - Show that the time of Equation 33.2 is longer than...Ch. 33 - Youre designing a Michelson interferometer in...Ch. 33 - Earth and Sun are 8.3 light minutes apart, as...Ch. 33 - Youre the communications officer on a fast...Ch. 33 - You wish to travel to a star N light years from...Ch. 33 - The nearest star beyond our solar system is about...Ch. 33 - Twins A and B live on Earth. On their 20th...Ch. 33 - Radioactive oxygen-15 decays at such a rate that...Ch. 33 - Two distant galaxies are receding from Earth at...Ch. 33 - Two spaceships are racing. The slower one passes...Ch. 33 - Use relativistic velocity addition to show that if...Ch. 33 - Earth and Sun arc 8.33 light minutes apart. Event...Ch. 33 - Youre writing a galactic history involving two...Ch. 33 - Repeat Problem 39, now assuming that civilization...Ch. 33 - Could there be observers who would judge the two...Ch. 33 - Could there be observers who would judge the two...Ch. 33 - The Curiosity rover touched down on Mars when...Ch. 33 - Derive the Lorentz transformations for time from...Ch. 33 - In the light box of Fig. 33.6, let event A be the...Ch. 33 - Youre a consultant for the director of a sci-fi...Ch. 33 - How fast would you have to go to reach a star 240...Ch. 33 - An advanced civilization has developed a spaceship...Ch. 33 - A spaceship travels at 0.80c from Earth to a star...Ch. 33 - Use Equation 33.6 to calculate the square of the...Ch. 33 - A light beam is emitted at event A and arrives at...Ch. 33 - Compare the momentum changes needed to boost a...Ch. 33 - Event A occurs at x = 0 and t = 0 in reference...Ch. 33 - When a particle's speed doubles, its momentum...Ch. 33 - Find (a) the speed and (b) the momentum of a...Ch. 33 - Prob. 56PCh. 33 - A large city consumes electrical energy at the...Ch. 33 - In a nuclear-fusion reaction, two deuterium nuclei...Ch. 33 - Find the kinetic energy of an electron moving at...Ch. 33 - Find the speed of an electron with kinetic energy...Ch. 33 - Use the binomial approximation (Appendix A) to...Ch. 33 - Prob. 62PCh. 33 - Show from the Lorentz transformations that the...Ch. 33 - Prob. 64PCh. 33 - Prob. 65PCh. 33 - The highest-energy cosmic rays ever detected are...Ch. 33 - When an objects speed increases by 5%, its...Ch. 33 - Use the Lorentz transformations to show that if...Ch. 33 - A source emitting light with frequency f moves...Ch. 33 - Equation 33.5a transforms the velocity u of an...Ch. 33 - Consider a relativistic particle of mass m moving...Ch. 33 - Find the speed of a particle whose relativistic...Ch. 33 - Its the 24th century, and you're a curator at the...Ch. 33 - Consider a line of positive charge with line...Ch. 33 - Prob. 75PCh. 33 - Youve been named captain of NASAs first...Ch. 33 - Youve been named captain of NASAs first...Ch. 33 - Youve been named captain of NASAs first...Ch. 33 - Youve been named captain of NASAs first...
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- A box is cubical with sides of proper lengths L1 = L2 = L3, as shown in Figure P26.14, when viewed in its own rest frame. If this block moves parallel to one of its edges with a speed of 0.80c past an observer, (a) what shape does it appear to have to this observer? (b) What is the length of each side as measured by the observer? Figure P26.14arrow_forwardOwen and Dina are at rest in frame S. which is moving at 0.600c with respect to frame S. They play a game of catch while Ed. at rest in frame S, watches the action (Fig. P39.91). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S') is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina?arrow_forwardA spacecraft moves at a speed of 0.900c. If its length is L as measured by an observer on the spacecraft, what is the length measured by a ground observer?arrow_forward
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Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY