An event has spacetime coordinates (x, t) (1200 m, 2.8 μs) in reference frame S. Part A What is the event's spacetime coordinate x' in reference frame S' that moves in the positive x-direction at 0.80c? Express your answer with the appropriate units. ▸ View Available Hint(s) µÅ Value ? Units Units input for part A Submit Previous Answers F2 3 # F3 Incorrect; Try Again; 4 attempts remaining Part B What is the event's spacetime coordinate t' in reference frame S'? Express your answer with the appropriate units. ▸ View Available Hint(s) Submit Part C 20 a F5 F6 4 509 $ % L 5 6 & 7 ? Value Units F7 W E R T Y U 5 D F 8 * 00 DII DD 9 - 9 G H J K L <333) F12 P L } ] dele X C V B N M HE * command option ? Review

An event has spacetime coordinates (x, t) (1200 m, 2.8 μs) in reference frame S. Part A What is the event's spacetime coordinate x' in reference frame S' that moves in the positive x-direction at 0.80c? Express your answer with the appropriate units. ▸ View Available Hint(s) µÅ Value ? Units Units input for part A Submit Previous Answers F2 3 # F3 Incorrect; Try Again; 4 attempts remaining Part B What is the event's spacetime coordinate t' in reference frame S'? Express your answer with the appropriate units. ▸ View Available Hint(s) Submit Part C 20 a F5 F6 4 509 $ % L 5 6 & 7 ? Value Units F7 W E R T Y U 5 D F 8 * 00 DII DD 9 - 9 G H J K L <333) F12 P L } ] dele X C V B N M HE * command option ? Review

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter38: Relativity

Section: Chapter Questions

Problem 4P: A muon formed high in the Earths atmosphere is measured by an observer on the Earths surface to...

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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.)
(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.)
(a) How long would the mum] in Example 5.3 have lived as observed on Earth if its velocity was. 0.0500c? (b) How far would it have traveled as observed on Earth? (c) What distance is this in the muon’s frame?
The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. If the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 μs. Suppose the muons move at a speed of 0.95c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?
Suppose 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?
Unreasonable Results A spaceship is heading directly toward Earth at a velocity of 0.800c. The astronaut on board claims that he can send a canister toward the Earth at 1.20c relative to Earth. (a) Calculate the velocity the canister must have relative to the spaceship. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
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?
(a) Calculate the relativistic kinetic energy of a 1000-kg car moving at 30.0 m/s if the speed of light were only 45.0 m/s. (b) Find the ratio of the relativistic kinetic energy to classical.
Choose the option from each pair that makes the following statement correct. According to an observer at rest, moving clocks run more [(a) slowly; (b) quickly] than stationary clocks and moving rods are [ (c) longer; (d) shorter] than stationary rods.
(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.
(a) Calculate the relativistic quantity =11v2/c2for 1.00-TeV protons produced at Fermilab. (b) If such a proton created a +having the same speed, how long would its life be in the laboratory? (c) How far could it travel in this time?
(a) Calculate the relativistic kinetic energy of a 1000-kg car moving at 30.0 m/s if the speed of light were only 45.0 m/s. (b) Find the ratio of the relativistic kinetic energy to classical.