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Exercise:
abcliste abc Calculate the Lorentz factor for a velocity of vO typical airplane. abc Calculate the velocity for a Lorentz factor of gaaO and for a Lorentz factor of gabO. abcliste

Solution:
abcliste abc gamma gaF fracsqrt-v/ncc^ gaS The Lorentz factor is very close to so it is more useful to calculate the value of gamma-: gamma- resultgamoS For most practical purposes the Lorentz factor can be ased to be equal to i.e. relativistic effects due to the motion of the airplane are irrelevant. abc Solving for the velocity yields beta fracvc beF For gammagaa we find beta sqrt-fracgaa^ fracsqrt approx resultbeP and for gamma beta sqrt-fracgab^ fracsqrtapprox resultbebP abcliste
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Exercise:
abcliste abc Calculate the Lorentz factor for a velocity of vO typical airplane. abc Calculate the velocity for a Lorentz factor of gaaO and for a Lorentz factor of gabO. abcliste

Solution:
abcliste abc gamma gaF fracsqrt-v/ncc^ gaS The Lorentz factor is very close to so it is more useful to calculate the value of gamma-: gamma- resultgamoS For most practical purposes the Lorentz factor can be ased to be equal to i.e. relativistic effects due to the motion of the airplane are irrelevant. abc Solving for the velocity yields beta fracvc beF For gammagaa we find beta sqrt-fracgaa^ fracsqrt approx resultbeP and for gamma beta sqrt-fracgab^ fracsqrtapprox resultbebP abcliste
Contained in these collections:

Attributes & Decorations
Branches
special relativity
Tags
lorentz factor, time dilation
Content image
Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration