Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 38, Problem 45AP
(a)
To determine
The value of relativistic factor for the speed found in part (a) of problem 43
(b)
To determine
The amount of time later the astronaut arrive at Andromeda after the arrival of light beam.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The factor y (gamma) appears throughout the expressions of special relativity. It depends only on
the (constant) relative velocity between two inertial frames of reference.
Calculate y for the case when rel=0.93 c (where c is the speed of light in vacuum = 3.0 x 108
m/s).
Y =
What is the difference between the velocity vrel and the speed of light c if y = 4.8? In other words,
what is c-Vrel?
C-Vrel=
What is this velocity Urel expressed as a fraction of the speed of light (as the case of the first
question above)?
Vrel=
m/s
C
The rest energy E of an object with rest mass m is given by Albert Einstein’s famous equation E = mc2, where c is the speed of light in vacuum. Find E for an electron for which (to three significant figures) m = 9.11 * 10^-31 kg. The SI unit for E is the joule (J); 1 J = 1 kg m2/s2. c = 2.99792458 * 10^8 m/s.
In special relativity, we introduced the momentum of a particle in a given Lorentz frame as pu = (E, pi ), where E is the energy of the particle and pi is the relativistic 3-momentum. Explain why, in general relativity, the energy of a particle measured by an observer is given, irrespective of the coordinate system used, by −p · uobs, where pu is the momentum of the particle and uuobs is the velocity of the observer in those coordinates.
Chapter 38 Solutions
Physics for Scientists and Engineers
Ch. 38.1 - Which observer in Figure 38.1 sees the balls...Ch. 38.1 - A baseball pitcher with a 90-mi/h fastball throws...Ch. 38.4 - Suppose the observer O on the train in Figure 38.6...Ch. 38.4 - A crew on a spacecraft watches a movie that is two...Ch. 38.4 - You are packing for a trip to another star. During...Ch. 38.4 - You are observing a spacecraft moving away from...Ch. 38.6 - You are driving on a freeway at a relativistic...Ch. 38.8 - The following pairs of energiesparticle 1: E, 2E;...Ch. 38 - In a laboratory frame of reference, an observer...Ch. 38 - Prob. 2P
Ch. 38 - A meterstick moving at 0.900c relative to the...Ch. 38 - A muon formed high in the Earths atmosphere is...Ch. 38 - A deep-space vehicle moves away from the Earth...Ch. 38 - An astronaut is traveling in a space vehicle...Ch. 38 - For what value of does = 1.010 0? Observe that...Ch. 38 - You have been hired as an expert witness for an...Ch. 38 - A spacecraft with a proper length of 300 m passes...Ch. 38 - A spacecraft with a proper length of Lp passes by...Ch. 38 - A light source recedes from an observer with a...Ch. 38 - A cube of steel has a volume of 1.00 cm3 and mass...Ch. 38 - Review. In 1963, astronaut Gordon Cooper orbited...Ch. 38 - You have an assistantship with a math professor in...Ch. 38 - Police radar detects the speed of a car (Fig....Ch. 38 - Shannon observes two light pulses to be emitted...Ch. 38 - A moving rod is observed to have a length of =...Ch. 38 - A rod moving with a speed v along the horizontal...Ch. 38 - A red light flashes at position xR = 3.00 m and...Ch. 38 - You have been hired as an expert witness in the...Ch. 38 - Figure P38.21 shows a jet of material (at the...Ch. 38 - A spacecraft is launched from the surface of the...Ch. 38 - Calculate the momentum of an electron moving with...Ch. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - An unstable particle at rest spontaneously breaks...Ch. 38 - (a) Find the kinetic energy of a 78.0-kg...Ch. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Protons in an accelerator at the Fermi National...Ch. 38 - You are working for an alternative energy company....Ch. 38 - The total energy of a proton is twice its rest...Ch. 38 - When 1.00 g of hydrogen combines with 8.00 g of...Ch. 38 - The rest energy of an electron is 0.511 MeV. The...Ch. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - An unstable particle with mass m = 3.34 1027 kg...Ch. 38 - Review. A global positioning system (GPS)...Ch. 38 - Prob. 42APCh. 38 - An astronaut wishes to visit the Andromeda galaxy,...Ch. 38 - Prob. 44APCh. 38 - Prob. 45APCh. 38 - The motion of a transparent medium influences the...Ch. 38 - An object disintegrates into two fragments. One...Ch. 38 - Prob. 48APCh. 38 - Review. Around the core of a nuclear reactor...Ch. 38 - Prob. 50APCh. 38 - Prob. 51APCh. 38 - Prob. 52APCh. 38 - Prob. 53CPCh. 38 - A particle with electric charge q moves along a...Ch. 38 - Suppose our Sun is about to explode. In an effort...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Joe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe shoots a picture for aduration of t= 12.0 s. For the same duration as measured inthe laboratory frame, at location S2 (1.00 km, 0.200 km,0.300 km), Moe also shoots a picture. Both Joe and Moe begintaking their pictures at t = 0 in the laboratory frame. Determine the duration of each event as measured by an observer ina frame moving at a speed of 2.00 108 m/s along the x axisin the positive x direction. Assume that at t = t = 0, the origins of the two frames coincide.arrow_forwardIt is said that Einstein, in his teenage years, asked the question, What would I see in a mirror if I carried it in my hands and ran at the speed of light? How would you answer this question?arrow_forwardWhich of the following statements are fundamental postulates of the special theory of relativity? More than one statement may be correct. (a) Light moves through a substance called the ether. (b) The speed of light depends on the inertial reference frame in which it is measured. (c) The laws of physics depend on the inertial reference frame in which they are used. (d) The laws of physics are the same in all inertial reference frames. (e) The speed of light is independent of the inertial reference frame in which it is measured.arrow_forward
- Give a physical argument showing that it is impossible to accelerate an object of mass m to the speed of light, even with a continuous force acting on it.arrow_forwardAccording to special relativity, a particle of rest mass m0 accelerated in one dimension by a force F obeys the equation of motion dp/dt = F. Here p = m0v/(1 –v2/c2)1/2 is the relativistic momentum, which reduces to m0v for v2/c2 << 1. (a) For the case of constant F and initial conditions x(0) = 0 = v(0), find x(t) and v(t). (b) Sketch your result for v(t). (c) Suppose that F/m0 = 10 m/s2 ( ≈ g on Earth). How much time is required for the particle to reach half the speed of light and of 99% the speed of light?arrow_forwardA 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
- What is if (b) Ifarrow_forwardA spacecraft leaves Earth at 75 percent light speed. An event occurs at (50,40,30,20) m of light-travel time in the spacecraft frame. What are the coordinates of the event as observed from Earth? $arrow_forwardA spacecraft leaves Earth at a constant speed of 0.69c as measured by an observer on Earth. It heads towards a distant star system. The star system is 43.94 lightyears away from Earth, as measured by an observer on Earth. When the spacecraft leaves Earth, the captain of the crew is 24.5 years old. (a) What is the Lorentz γ factor to 3 decimal place precision? (b) What is time taken, in years (to one decimal place precision), to reach the star system as measured by an observer on Earth? (c) What is the distance, in lightyears (to one decimal place precision), the spacecraft travels to reach the star system as measured by the crew of the spacecraft? (d) How old is the captain of the crew when the spacecraft arrives at the star system (use one decimal place precision, and assume the captain can live well beyond normal range of years for a human)? (e) As the spacecraft arrives at the star system, it sends a radio signal back to Earth. Assuming the spacecraft never stops and continues past…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY