 33.1: Why was the MichelsonMorley experiment a more sensitive test of mot...
 33.2: Why was it necessary to repeat the MichelsonMorley experiment throu...
 33.3: Whats special about the special theory of relativity?
 33.4: Does relativity require that the speed of sound be the same for all...
 33.5: Time dilation is sometimes described by saying that moving clocks r...
 33.6: If youre in a spaceship moving at 0.95c relative to Earth, do you p...
 33.7: The Andromeda Galaxy is 2 million light years from the Milky Way. A...
 33.8: Is matter converted to energy in a nuclear reactor? In a burning ca...
 33.9: If you took your pulse while traveling in a highspeed spacecraft, ...
 33.10: The rest energy of an electron is 511 keV. Whats the approximate sp...
 33.11: An atom in an excited state emits a burst of light. What happens to...
 33.12: The quantity is invariant. What does this say about how different o...
 33.13: An airplane makes a round trip between two points 1800 km apart, fl...
 33.14: Consider a MichelsonMorley experiment with 11m light paths perpend...
 33.15: Two stars are 50 ly apart, measured in their common rest frame. How...
 33.16: How long would it take a spacecraft traveling at 0.65c to get from ...
 33.17: A spaceship passes by you at half the speed of light, and you deter...
 33.18: An extraterrestrial spacecraft whizzes through the solar system at ...
 33.19: How fast would you have to move relative to a meter stick for it to...
 33.20: A hospitals linear accelerator produces electron beams for cancer t...
 33.21: By what factor does an objects momentum change if you double its sp...
 33.22: At what speed will the momentum of a proton (mass 1 u) equal that o...
 33.23: At what speed will the Newtonian expression for momentum be in erro...
 33.24: A particle is moving at 0.90c. If its speed increases by 10%, by wh...
 33.25: Find (a) the total energy and (b) the kinetic energy of an electron...
 33.26: At what speed will the relativistic and Newtonian expressions for k...
 33.27: Show that the time of Equation 33.2 is longer than that of Equation...
 33.28: Youre designing a Michelson interferometer in which a speedof ligh...
 33.29: Earth and Sun are 8.3 light minutes apart, as measured in their res...
 33.30: Youre the communications officer on a fast spaceship that takes 50 ...
 33.31: You wish to travel to a star N light years from Earth. How fast mus...
 33.32: The nearest star beyond our solar system is about 4 light years awa...
 33.33: Twins A and B live on Earth. On their 20th birthday, twin B climbs ...
 33.34: Radioactive oxygen15 decays at such a rate that half the atoms in ...
 33.35: Two distant galaxies are receding from Earth at 0.75c in opposite d...
 33.36: Two spaceships are racing. The slower one passes Earth at 0.70c, an...
 33.37: Use relativistic velocity addition to show that if an object moves ...
 33.38: Earth and Sun are 8.33 light minutes apart. Event A occurs on Earth...
 33.39: Youre writing a galactic history involving two civilizations that e...
 33.40: Repeat 39, now assuming that civilization B lags A by 1 million yea...
 33.41: Could there be observers who would judge the events in 39 and 40 to...
 33.42: Derive the Lorentz transformations for time from the transformation...
 33.43: In the light box of Fig. 33.6, let event A be the emission of the l...
 33.44: Youre a consultant for the director of a scifi movie. The film sta...
 33.45: How fast would you have to go to reach a star 200 light years away ...
 33.46: An advanced civilization has developed a spaceship that goes, with ...
 33.47: A spaceship travels at 0.80c from Earth to a star 10 light years di...
 33.48: Use Equation 33.6 to calculate the square of the spacetime interval...
 33.49: A light beam is emitted at event A and arrives at event B. Show tha...
 33.50: Compare the momentum changes needed to boost a spacecraft (a) from ...
 33.51: Event A occurs at and in reference frame S. Event B occurs at light...
 33.52: When a particles speed doubles, its momentum increases by a factor ...
 33.53: Find (a) the speed and (b) the momentum of a proton with kinetic en...
 33.54: Among the most energetic cosmic rays ever detected are protons with...
 33.55: A large city consumes electrical energy at the rate of 1 GW. If you...
 33.56: In a nuclearfusion reaction, two deuterium nuclei combine to make ...
 33.57: Find the kinetic energy of an electron moving at (a) 0.0010c, (b) 0...
 33.58: Find the speed of an electron with kinetic energy (a) 100 eV, (b) 1...
 33.59: Use the binomial approximation (Appendix A) to show that Equation 3...
 33.60: Show that Equation 33.10 follows from the expressions for relativis...
 33.61: Show from the Lorentz transformations that the spacetime interval o...
 33.62: How fast would you have to travel to reach the Crab Nebula, 6500 li...
 33.63: At what speed are a particles kinetic and rest energies equal?
 33.64: A cosmicray proton with energy 20 TeV is heading toward Earth. Wha...
 33.65: When an objects speed increases by 5%, its momentum increases by a ...
 33.66: Use the Lorentz transformations to show that if two events are sepa...
 33.67: A source emitting light with frequency f moves toward you at speed ...
 33.68: Equation 33.5a transforms the velocity of an object moving in the x...
 33.69: Consider a relativistic particle of mass m moving along a straight ...
 33.70: Find the speed of a particle whose relativistic kinetic energy is 5...
 33.71: Its the 24th century, and youre a curator at the Starfleet Museum o...
 33.72: Taking your pulse, you find a. its significantly slower than when y...
 33.73: How much do you age during your interstellar journey? a. 3 years b....
 33.74: Back on Earth, Mission Control judges that your shipboard clocks ru...
 33.75: In your spaceships reference frame, the distance from the Sun to Pr...
Solutions for Chapter 33: Relativity
Full solutions for Essential University Physics: Volume 1  2nd Edition
ISBN: 9780321706690
Solutions for Chapter 33: Relativity
Get Full SolutionsThis textbook survival guide was created for the textbook: Essential University Physics: Volume 1, edition: 2. Chapter 33: Relativity includes 75 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Essential University Physics: Volume 1 was written by and is associated to the ISBN: 9780321706690. Since 75 problems in chapter 33: Relativity have been answered, more than 30144 students have viewed full stepbystep solutions from this chapter.

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parallel

any symbol
average (indicated by a bar over a symbol—e.g., v¯ is average velocity)

°C
Celsius degree

°F
Fahrenheit degree