Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 33, Problem 75P
(a)
To determine
The value of
(b)
To determine
The value of
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Chapter 33 Solutions
Essential University Physics (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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- One cosmic ray neuron has a velocity of 0.250c relative to the Earth. (a) What is the neutron's total energy in MeV? (b) Find its momentum. (c) Is in this situation? Discuss in terms of the equation given in part (a) of the previous problem.arrow_forward(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0x109ly away is receding from us at 0.900c, at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)arrow_forward(a) How fast would an athlete need to be running for a race to look 100 yd long? (b) Is the answer consistent with the fact that relativistic effects are difficult to observe in ordinary circumstances? Explain.arrow_forward
- (a) Suppose the speed of light were only 3000 m/s. A jet fighter moving toward a target on the ground at 800 m/s shoots bullets, each having a muzzle velocity of 1000 m/s. What are the bullets' velocity relative to the target? (b) If the speed of light was this small, would you observe relativistic effects in everyday life? Discuss.arrow_forward(a) What is the effective accelerating potential for electrons at the Stanford Linear Accelerator, if for them? (b) What is their total energy (nearly the same as kinetic in this case) in GeV?arrow_forward(a) Calculate the speed of a particle of dust that has the same momentum as a proton moving at 0.999c. (b) What does the small speed tell us about the mass of a proton compared to even a tiny amount of macroscopic matter?arrow_forward
- Plans for ail accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity =11v2/c2be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?arrow_forwardSuppose an astronaut is moving relative to the Earth at a significant fraction of the speed of light. (a) Does he observe the rate of his clocks to have slowed? (b) What change in the rate of Earth-bound clocks does he see? (c) Does his ship seem to him to shorten? (d) What about the distance between stars that lie on lines parallel to his motion? (e) Do he and an Earth-bound observer agree on his velocity relative to the Earth?arrow_forwardConsider an electron moving with speed 0.980c. a. What is the rest mass energy of this electron? b. What is the total energyof this electron? c. What is the kinetic energy of this electron?arrow_forward
- A starship is 1025 ly from the Earth when measured in the rest frame of the Earth. The ship travels at a speed of 0.80c on its way back to the Earth. What is the distance traveled as measured by the crew of the starship?arrow_forward(a) Does motion affect the rate of a clock as measured by an observer moving with it? (b) Does motion affect how an observer moving relative to a clock measures its rate?arrow_forwardAn alien spaceship traveling at 0.600c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.800c relative to the mother ship. As measured on the Earth, the spaceship is 0.200 ly from the Earth when the landing craft is launched. (a) What speed do the Earth-based observers measure for the approaching landing craft? (b) What is the distance to the Earth at the moment of the landing crafts launch as measured by the aliens? (c) What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship? (d) If the landing craft has a mass of 4.00 105 kg, what is its kinetic energy as measured in the Earth reference frame?arrow_forward
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