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,
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Chapter 1, Problem 1.28P
To determine
(a)
To Prove:
To determine
(b)
The new value of
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Suppose there is a K0 meson that moves past us (to the right) with a speed of (1/2)c. In the K0 rest frame, it decays into to π2's, with one going straight up and the other going straight down with equal and opposite velocities v0.
How fast do the π0's move in the laboratory in terms of v0 (at what angle w.r.t the vertical)?
(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0×109 ly 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.)
Please answer this question as soon as possible
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
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- Show that for any relative velocity v between two observers, a beam of light projected by one directly away from the other will move away at the of light (provided that v is less than c, of course).arrow_forwardWhat is the kinetic energy in MeV of a meson that lives s as measured in the laboratory, and when at rest relative to an observer, given that its rest energy is 135 MeV?arrow_forwardThe Tevatron was a large particle accelerator that would collide beams ofprotons and anti-protons to see what would come out of the collisions.a) Let’s assume that each particle (in both beams) was accelerated to a total energy of100 GeV. What is the speed of the protons (relative to the speed of light) if you assumethe mass of the proton is equal to 1 GeV/c^2? Write your answer in terms of the speed oflight—keep it as a decimal times “c”. You will need several decimal places.b) Suppose that you now accelerate each particle to a speed of 0.9c. Since they are movingin opposite directions, what is the speed that one would measure for the speed of the otherparticle? Just give the absolute value of this speed. Don’t worry about the sign.c) Given your answer in part b, what is the energy of that one particle would measure forthe other particle?arrow_forward
- For this problem, pretend that you do not know about length contraction butyou do know about time dilation.A spaceship whose length in its own rest frame is La moves at velocity Vrelative to earth. Let L be the length of the spaceship as measured in the earth'srest frame, S.(a) A light pulse emitted at the rear of the spaceship (event E1) arrives at thefront (event E2 ). In the spaceship frame, Sf, the time interval between E1 and E2 ist f - t~ = Lo/ c. Find the time interval between the same two events in frame 5, interms of L, V, and c. (See fig. 2.3a. Note that this time interval is not proper ineither fralne.)(b) The light pulse is reflected and arrives at the rear of the spaceship (event£3)' Find the time interval between £2 and E3 in frame S.(c) Applying a proper time argument to the interval between E1 and E3 , showthat Land Lo are related by the length contraction formula: L = Lo~1- V 2/ c2 .arrow_forwardplease quickly ,within 1hour thanks !! i will give you a thumb!!!!arrow_forwardAn elementary particle of mass u initially at rest in a frame S completely absorbs a photon that was traveling in the +x direction. After absorbing the photon, the mass of the particle becomes 2µ. (a) What was the energy of the incoming photon? (b) Why is that energy greater than uc??arrow_forward
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Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY