Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 1, Problem 1.47P
To determine
(a)
The relationship between u and u', whereu is the velocity of the body with respect to the frame S and u' is its velocity when measured from a frame S' which moves with a speed v with respect to S and represent it graphically.
To determine
(b)
Whether, the values of u' obeys the relation,
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Frame {2} is rotated with respect to frame {1} about the x-axis by an angle of 45°. The position of the origin of frame {2} as seen from frame {1} is lP2 = [7.0 5.0 7.0 ] T. Obtain the transformation matrix lT2 which describes frame {2} relative to frame {1}. Also, find the description of point A in frame {1} if 2A = [2.0 4.0 6.0]
In a linear collider, two particles travel toward each other from opposite directions before colliding. If, in the lab reference frame, an electron travels toward the collision point at 2/3 c and a positron travels at 3/4 c, at what speed does the electron travel toward the positron in the positron’s reference frame? (Be sure to show all of the steps of your calculation without using a calculator.)
vpe =
Please write your process as much as possible and a detail
Consider the two Lorentz invariants E B and c²B2- Ē².
.
(a) Suppose that in one inertial frame E B = 0 and c²B² - E²0. Is it possible to
find another frame where both E and B are zero? Motivate your answer.
(b) Afterwards, suppose that in one inertial frame B = 0 but E0 at some point P.
Is it possible to find another frame in which the electric field is zero at P? Motivate
your answer.
Chapter 1 Solutions
Modern Physics For Scientists And Engineers
Ch. 1 - Prob. 1.1PCh. 1 - Prob. 1.2PCh. 1 - Prob. 1.3PCh. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - Prob. 1.7PCh. 1 - Prob. 1.8PCh. 1 - Prob. 1.9PCh. 1 - Prob. 1.10P
Ch. 1 - Prob. 1.11PCh. 1 - Prob. 1.12PCh. 1 - Prob. 1.13PCh. 1 - Prob. 1.14PCh. 1 - Prob. 1.15PCh. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Prob. 1.21PCh. 1 - Prob. 1.22PCh. 1 - Prob. 1.23PCh. 1 - Prob. 1.24PCh. 1 - Prob. 1.25PCh. 1 - Prob. 1.26PCh. 1 - Prob. 1.27PCh. 1 - Prob. 1.28PCh. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 1 - Prob. 1.31PCh. 1 - Prob. 1.32PCh. 1 - Prob. 1.33PCh. 1 - Prob. 1.34PCh. 1 - Prob. 1.35PCh. 1 - Prob. 1.36PCh. 1 - Prob. 1.37PCh. 1 - Prob. 1.38PCh. 1 - Prob. 1.39PCh. 1 - Prob. 1.40PCh. 1 - Prob. 1.41PCh. 1 - Prob. 1.42PCh. 1 - Prob. 1.43PCh. 1 - Prob. 1.44PCh. 1 - Prob. 1.45PCh. 1 - Prob. 1.46PCh. 1 - Prob. 1.47PCh. 1 - Prob. 1.48PCh. 1 - Prob. 1.49PCh. 1 - Prob. 1.50PCh. 1 - Prob. 1.51PCh. 1 - Prob. 1.52PCh. 1 - Prob. 1.53P
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
- An observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike occurs at x1 = y1 = z1 = t1 = 0 and the second at x2 = 100 m, y2 = z2 = t2 = 0. (a) What are the coordinates of these two events in a frame S moving in the standard configuration at 0.70c relative to S? (b) How far apart are the events in S? (c) Are the events simultaneous in S? If not, what is the difference in time between the events, and which event occurs first?arrow_forwardA rod of length L0 moving with a speed v along the horizontal direction makes an angle 0 with respect to the x axis. (a) Show that the length of the rod as measured by a stationary observer is L = L0[1 (v2/c2)cos2 0]1/2. (b) Show that the angle that the rod makes with the x axis is given by tan = tan 0. These results show that the rod is both contracted and rotated. (Take the lower end of the rod to be at the origin of the primed coordinate system.)arrow_forwardAn airplane flying upwind, downwind, and crosswind shows the main principle of the MichelsonMorley experiment. A plane capable of flying at speed c in still air is flying in a wind of speed v. Suppose the plane flies upwind a distance L and then returns downwind to its starting point. (a) Find the time needed to make the round-trip and compare it with the time to fly crosswind a distance L and return. Before calculating these times, sketch the two situations. (b) Compute the time difference for the two trips if L = 100 mi, c = 500 mi/h, and v = 100 mi/h.arrow_forward
- (a) What is the momentum of a 2000-kg satellite orbiting at 4.00 km/s? (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that at low velocities.)arrow_forwardTwo particles are launched sequentially. Particle 1 is launched with speed 0.393 c to the east. Particle 2 is launched with speed 0.667c to the north but at time 7.07 ms later. After the second particle is launched, what is the speed of particle 2 as seen by particle 1 (as a fraction of c)? Could you show all work and look correct answer ?arrow_forwardDerive the Lorentz transformation connecting a frame SS (the lab frame) to a frame S′S′ that moves with respect to SS with a velocity in the xyxy plane. This velocity makes an angle ϕϕ with the xx axis of SS and has speed vv. In order to solve this, take the route of two successive Lorentz transformations, one along the xx axis followed by one along the yy axis.arrow_forward
- Problem 1 Find the matrix for the Lorentz transformation consisting a boost Vx in the x- direction followed by the boost Vy in the y-direction. Show that the boost performed in the reverse order gives a different transformation. We talk about it in class.arrow_forwardAn object is moving with ordinary speed 0.5c in S reference frame along a direction making an angle (tan =) with respect to the positive x - axis. Find the components u, and u.,, of the ordinary velocity. And find the components and ny of the proper velocity.arrow_forwardA particle has a lifetime of 121 nanoseconds, as measured in its own moving reference frame. It travels at a speed of 0.983c, where c is the speed of light. What distance will it travel before disintegrating, as measured in the reference frame of a fixed observer? Express your answer in meters and keep three significant digits.arrow_forward
- Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length contraction, where When you multiply the time in a moving frame by γ, you get the longer (dilated) time in your fixed fame. When you divide the length in a moving frame by γ, you get the shorter (contracted) length in your fixed frame. Pretend that the starship in the problem 1 is somehow traveling at c with respect to Earth and it fires a drone forward at speed c with respect to itself. Use the equation for the relativistic addition of velocities to show that the speed of the drone with respect to Earth is still c. problem1 Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length contraction, where When you multiply the time in a moving frame by γ, you get the longer (dilated) time in your fixed fame. When you divide the length in a moving frame by γ, you get the shorter (contracted) length in your fixed frame. A starship passes Earth at 80% of the speed of…arrow_forwardIn frame o an object moves in the x-direction with velocity u = 0.82c. Find the magnitude of the x-component of the velocity in frame o' which moves at velocity v =-.75c in the x-direction relative to frame o. Give your answer in units of c (e.g. 0.703 if the answer is 0.703c). Round your answer to 3 decimal places. Add your answerarrow_forwardPlease answer in detail.Thank you If simultaneity is not an absolute concept, does that mean that we must discard the concept of causality? If event A is to cause event B, A must occur first. Is it possible that in some frames A appears to be the cause of B, and in others B appears to be the cause of A? Explain.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher: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
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY