Essentials University Physics, Volume 1 and 2 - With Modified MasteringPhysics Access
3rd Edition
ISBN: 9780134235448
Author: Wolfson
Publisher: PEARSON
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Chapter 33, Problem 44P
Derive the Lorentz transformations for time from the transformations for space.
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Essentials University Physics, Volume 1 and 2 - With Modified MasteringPhysics Access
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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- Show that for a particle is invariant under Lorentz transformations.arrow_forwardShow that the equation is invariant under a Lorentz transformation but not under a Galilean transformation. (This is the wave equation that describes the propagation of light waves in free space.)arrow_forwardWhat happens to the relativistic Doppler effect when relative velocity is zero? Is this the expected result?arrow_forward
- A yet-to-be-built spacecraft starts from Earth moving at constant speed to the yet-to-be-discovered planet Retah, which is 20 lighthours away from Earth. It takes 25 h (according to an Earth observer) for a spacecraft to reach this planet. Assuming that the clocks are synchronized at the beginning of the journey, compare the time elapsed in the spacecraft’s frame for this one-way journey with the time elapsed as measured by an Earth-based clock.arrow_forwardAn astronaut moves away from Earth at a speed close to the speed of light. If an observer on Earth could make measurements of the astronauts size and pulse rate, what changes (if any) would he or she measure? Would the astronaut measure any changes?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