Alice is moving with a velocity of 0.7c away from Bob in the positive x-direction. Bob observes twoevents at ad = (1, 0, 2, 3) and b = (5, 0, 0, 2) of a particle's worldline (measured in flat spacetime,%3Dusing Cartesian coordinates).i) If Alice observes the same two events, what components does she measure?ii) Calculate the proper time between these two events.

Answered: Image /qna-images/answer/757c98d2-ffee-4d8b-aa0e-184e74bb6872.jpg

Answered: Alice is moving with a velocity of 0.7c…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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3 A spaceship (A) is moving at speed c/2 with respect to another spaceship (B). Observers in A and B set their clocks so that an event at (x, y, z, t) of a photon arriving has coordinates (0, 0, 0, 0) in A and also (0, 0, 0, 0) in B. A second photon arrives at (x = 1.00 m, 0, 0, 0 s) in the frame of ship A. (a) Find the coordinates and time of the second photon arriving as seen by an observer in frame B. (b) In which frame are the two events simultaneous and in which frame are they are not simultaneous
As spaceship A moves away from the earth at 0.490c, the captain observes a second spaceship (B) moving in the same direction at a speed of 0.482c relative to A. Find the speed of B relative to the earth. c
The space and time coordinates for two events as measured in a frame S are as follows: Event 1: x1=x0 , t1=x0/c Event 2: x2=2x0, t2=x0/2c a. There exists a frame in which these events occur at the same time. Find the velocity of this frame with respect to S. b. What is the value of t at which both events occur in the new frame?
4
3.9 One observer is at rest and measures an event occurring at (1.0, - 3.0, 0) km and t= 4.0 us. What are the position and time coordinates measured by an observer moving by at 0.98c in the +x direction? Compare to the Galilean results. %3D
Determine an expression for the total travel time of the light pulse, as measured by the following: A) an observer in the S frame (Use the following as necessary: c, d, and v.) B) an observer on the spacecraft (Use the following as necessary: c, d, and v.) What If? If the transmitted light beam has a wavelength λT, determine an expression for the shift in the wavelength of the light beam, as measured by the following C) an observer in the S frame (Use the following as necessary: c, v, and λT.) D) an observer on the spacecraft (Use the following as necessary: c, v, and λT.)
The time interval ΔΔt between two events measured by an observer moving with respect to a clock1 is usually shorter than the time interval ΔΔtp (ΔΔt < ΔΔtp) between the same two events measured by an observer at rest with respect to the clock. Group of answer choices True False
0.9838 not correct
Observer A sees two events at the same place (Ax = Ay = Az = 0) and separated in time by Ar = 10-6 s. A second observer B sees them to be separated by Ar' = 2 × 10-6 s. What is the separation in space of the two events according to B? What is the speed of B relative to A?
In 2010, a 20-year-old astronaut leaves her twin on earth and goes on a rocket to explore the galaxy. The rocket moves at 2.9 x 108 m/s during the voyage. It returns to earth in the year 2040. a. Using relativity, calculate the age of the returning astronaut. b. Find the length of the rocket in the earth’s frame of reference when it is moving, given that the rest length is 120 m. Assume you are a stationary observer viewing the rocket from the side.
Bonus Problem 2- We have measured the radius of Earth R= 6400 km. A cosmic particle which is moving with v = 0.95 c (where c is the speed of light) toward the center of Earth. a) What is the diameter of Earth from point of view of the particle! b) How long will it take for the particle to pass through the Earth?
Two atomic clocks are synchronized. One is placed on a satellite which orbits around the earth at high speeds for a whole year. The other is placed in a lab and remains at rest with respect to the earth. You may assume both clocks can measure time accurately to many significant digits. a)Will the two clocks still be synchronized after one year? b) imagine the speed of light is much lower than its actual value. How would the results of this experiment change if the speed of light was only twice the average speed of the satellite? Explain your reasoning using a calculation.

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