Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Textbook Question
Chapter 2, Problem 1P
Show that the form of Newton’s second law is invariant under the Galilean transformation.
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Chapter 2 Solutions
Modern Physics for Scientists and Engineers
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Prove that for any relative velocity v between two observers, a beam of light sent from one to the other will approach at speed c (provided that v is less than c, of course).
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Show that the equation
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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 speed of light (provided that v is less than c , of course).
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A tuning fork has a frequency of 800 Hz and hence a period of 1.25 × 10 −3 s. If the tuning fork is in an inertial frame of reference moving by the observer at speed of 0.690 c, what is the frequency of the fork as measured by the observer? (Assume that measurements are strictly by optical means and that the speed of sound waves in air is not pertinent here).
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Consider an interplanetary express bus traveling at 0.98 cc. According to Newtonian mechanics, the momentum is p=mvp=mv. According to relativity, it is p=γmvp=γmv.
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Space cruisers A and B are moving parallel to the positive direction of an x axis. Cruiser A is faster, with a relative speed of v = 0.900c, and has a proper length of L = 200 m. According to the pilot of A, at the instant (t = 0) the tails of the cruisers are aligned, the noses are also. According to the pilot of B, how much later are the noses aligned?
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Derive the Lorentz transformation connecting a frame S (the lab frame) to a frame S′ that moves with respect to S with a velocity in the xy plane. This velocity makes an angle ϕ with the x axis of SS and has speed v.
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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