Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 41, Problem 26SP
At what speed must a particle move for γ to be 2.0?
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(a) At what relative velocity is γ = 2.00 ? (b) At what relative velocity is γ = 10.0 ?
A particle has γ=15,687. Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.)
If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation.
A particle has γ=18,399.
a) Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.)
If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation.
b) In a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.)
If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV.
Thank you so much!!
Chapter 41 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 41 - 16. Determine γ when the speed of a spacecraft is...Ch. 41 - Prob. 17SPCh. 41 - 41.18 [I] A spaceship is seen by a stationary...Ch. 41 - 41.19 [I] A space probe that was manufactured to...Ch. 41 - Prob. 20SPCh. 41 - Prob. 21SPCh. 41 - Prob. 22SPCh. 41 - 23. A proton has a mass of 1.672 6 × 10–27 kg and...Ch. 41 - Prob. 24SPCh. 41 - 41.25 [I] A proton has a mass of kg and is...
Ch. 41 - 26. At what speed must a particle move for γ to be...Ch. 41 - 27. A particle is traveling at a speed υ such that...Ch. 41 - 41.28 [I] Compute the rest energy of an...Ch. 41 - Prob. 29SPCh. 41 - 41.30 [II] A proton is accelerated to a kinetic...Ch. 41 - Prob. 31SPCh. 41 - 41.32 [II] A certain strain of bacteria doubles in...Ch. 41 - 41.33 [II] A certain light source sends out ...Ch. 41 - 41.34 [II] The insignia painted on the side of a...Ch. 41 - 41.35 [II] As a spacecraft moving at 0.92c travels...Ch. 41 - 41.36 [III] Find the speed and momentum of a...
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