COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135729458
Author: Bennett
Publisher: PEARSON
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Chapter S3, Problem 53EAP
To determine
To Draw: A spacetime diagram for the given conditions.
Speed of the object with the given worldline is
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COSMIC PERSPECTIVE
Ch. S3 - Prob. 1EAPCh. S3 - Prob. 2EAPCh. S3 - Prob. 3EAPCh. S3 - Prob. 4EAPCh. S3 - Prob. 5EAPCh. S3 - What is a space time diagram? Define worldline and...Ch. S3 - 7. How do rules of geometry differ depending on...Ch. S3 - Prob. 8EAPCh. S3 - Prob. 9EAPCh. S3 - 10. According to general relativity, what is...
Ch. S3 - Prob. 11EAPCh. S3 - What is gravitational time dilation. What...Ch. S3 - Prob. 13EAPCh. S3 - Prob. 14EAPCh. S3 - Prob. 15EAPCh. S3 - Does It Make Sense? Decide whether the statement...Ch. S3 - Prob. 17EAPCh. S3 - Prob. 18EAPCh. S3 - Prob. 19EAPCh. S3 - Prob. 20EAPCh. S3 - Prob. 21EAPCh. S3 - Does It Make Sense?
Decide whether the statement...Ch. S3 - Prob. 23EAPCh. S3 - Prob. 24EAPCh. S3 - Prob. 25EAPCh. S3 - Choose the best answer to each of the following....Ch. S3 - Prob. 27EAPCh. S3 - Prob. 28EAPCh. S3 - Prob. 29EAPCh. S3 - Prob. 30EAPCh. S3 - Prob. 31EAPCh. S3 - Prob. 32EAPCh. S3 - Prob. 33EAPCh. S3 - Prob. 34EAPCh. S3 - Prob. 35EAPCh. S3 - Prob. 38EAPCh. S3 - Prob. 39EAPCh. S3 - Prob. 41EAPCh. S3 - Alternative Geometries. Find three everyday...Ch. S3 - Prob. 43EAPCh. S3 - Prob. 44EAPCh. S3 - Prob. 45EAPCh. S3 - Prob. 51EAPCh. S3 - Worldlines at High Speed. Make a spacetime diagram...Ch. S3 - Prob. 53EAPCh. S3 - Prob. 54EAPCh. S3 - Long Trips at Constant Acceleration: Earth Time....Ch. S3 - Prob. 56EAPCh. S3 - Prob. 57EAPCh. S3 - Prob. 58EAPCh. S3 - Gravitational Time Dilation on Earth. For a...Ch. S3 - Gravitational Time Dilation on the Sun. Use the...
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- (a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0109ly ly away is receding from us at 0. 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 the 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) Wliat is the approximate velocity relative to us of a galaxy near the edge of the known universe, some 10 Gly away? (b) What fraction of the speed of light is this? Note that we have observed galaxies moving away from us at greater than 0.9c.arrow_forward(a) How fast would an athlete need to be running for a 100-m 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) 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_forwardIf astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts clocks? (b) What is the distance to Alpha Centauri as measured by the astronauts?arrow_forward
- (a) Find the kinetic energy of a 78.0-kg spacecraft launched out of the solar system with speed 106 km/s by using the classical equation K=12mu2. (b) What If? Calculate its kinetic energy using the relativistic equation. (c) Explain the result of comparing the answers of parts (a) and (b).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_forwardTwo powerless rockets are on a collision course. The rockets are moving with speeds of 0.800c and 0.600c and are initially 2.52 × 1012 m apart as measured by Liz, an Earth observer, as shown in Figure P1.34. Both rockets are 50.0 m in length as measured by Liz. (a) What are their respective proper lengths? (b) What is the length of each rocket as measured by an observer in the other rocket? (c) According to Liz, how long before the rockets collide? (d) According to rocket 1, how long before they collide? (e) According to rocket 2, how long before they collide? (f) If both rocket crews are capable of total evacuation within 90 min (their own time), will there be any casualties? Figure P1.34arrow_forward
- A muon formed high in the Earths atmosphere is measured by an observer on the Earths surface to travel at speed = 0.990c for a distance of 4.60 km before it decays into an electron, a neutrino, and an antineutrino (c+v+v). (a) For what time interval does the muon live as measured in its reference frame? (b) How far does the Earth travel as measured in the frame of the muon?arrow_forward(a) What is the approximate speed relative to us of a galaxy near the edge of the known universe, some 10 Gly away? (b) What traction of the speed of light is this? Note that we have observed galaxies moving away from us at greater than 0.9c.arrow_forwardA friend passes by you in a spacecraft traveling at a high speed. He tells you that his craft is 20.0 m long and that the identically constructed craft you are sitting in is 19.0 m long. According to your observations, (a) how long is your spacecraft, (b) how long is your friends craft, and (c) what is the speed of your friends craft?arrow_forward
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