Explanation The time taken by the sample transported to the astronauts relative to Earth is, t = d v (I) Here, t is the time taken by the sample transported astronauts relative to Earth, v is the speed of the sample, and d is the distance of the asteroid from Earth. The ratio between the half life periods of sample O-15 to the sample transported to the astronauts. R = t t 1 / 2 (II) Here, t 1 / 2 is the half life period of the sample and R is the ratio between the two samples. The number of half lives required for the sample O-15 is, R = ( 1 2 ) n (III) Here, n is the number of half lives. Conclusion: Substitute 0.842 c for v and 6.38 light minutes for d in equation (I) to find t . t = 6.38 light minutes ( 1.90 × 10 − 6 ly 1 light minute ) 0.842 c = 12.122 × 10 − 6 ly 0.842 c = 14.4 × 10 − 6 year Substitute 14

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Chapter 33, Problem 27E

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The number of half lives of the O-15 required to pass by time.

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Chapter 33, Problem 26E

Chapter 33, Problem 28E

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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 - Prob. 1FTD 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. 6FTD

Ch. 33 - Prob. 7FTD 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. 19E Ch. 33 - At what speed will the momentum of a proton (mass...Ch. 33 - Prob. 21E 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 - Example 33.1: A spaceship departs on a trip to...Ch. 33 - Prob. 26E Ch. 33 - Prob. 27E Ch. 33 - Prob. 28E Ch. 33 - Prob. 29E Ch. 33 - Prob. 30E Ch. 33 - Prob. 31E Ch. 33 - Prob. 32E 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 - Prob. 38E 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 - 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 - Prob. 48P 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. 58P Ch. 33 - A large city consumes electrical energy at the...Ch. 33 - In a nuclear-fusion reaction, two deuterium nuclei...Ch. 33 - Use the binomial approximation (Appendix A) to...Ch. 33 - Prob. 62P Ch. 33 - At what speed are a particle’s kinetic and rest...Ch. 33 - Use the Lorentz transformations to show that if...Ch. 33 - A source emitting light with frequency f moves...Ch. 33 - You’d like to travel to a star a distance d from...Ch. 33 - A large spaceship is passing Earth at 0.75c....Ch. 33 - Prob. 68P Ch. 33 - The highest energy cosmic rays observed are...Ch. 33 - Consider a line of positive charge with line...Ch. 33 - Prob. 71P 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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