Essential University Physics (3rd Edition)

3rd Edition

ISBN: 9780134202709

Author: Richard Wolfson

Publisher: PEARSON

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The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot mov…

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Chapter 33, Problem 49P

A spaceship travels at 0.80c from Earth to a star 10 light years distant, as measured in the Earth-star reference frame. Let event A be the ship’s departure from Earth and event B its arrival at the star, (a) Find the distance and lime between the two events in the Earth-star frame, (b) Repeat for the ship's frame. (Hint: The distance in the ship frame is the distance an observer has to move with respect to that frame to be at both events—not the same as the Lorentz-contracted distance between Earth and star.) (c) Compute the square of the spacetime interval in both frames to show explicitly that it’s invariant.

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Chapter 33, Problem 48P

Chapter 33, Problem 50P

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Chapter 33 Solutions

Essential University Physics (3rd Edition)

Ch. 33.2 - Prob. 33.1GI Ch. 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. 3FTD Ch. 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. 8FTD Ch. 33 - Prob. 9FTD Ch. 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. 21E Ch. 33 - At what speed will the momentum of a proton (mass...Ch. 33 - Prob. 23E Ch. 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. 56P Ch. 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. 62P Ch. 33 - Show from the Lorentz transformations that the...Ch. 33 - Prob. 64P Ch. 33 - Prob. 65P Ch. 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. 75P 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...Ch. 33 - Youve been named captain of NASAs first...

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