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https://texercises.com/exercise/escaping-rocket/
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Exercise:
Escape velocity from the Earth is kilometerperhour. What would be the percent decrease in length of a .m long rocket traveling at that speed?

Solution:
The percentual change in the length is: fracDelta ellell_ fracell_-ellell_ fracell_-fracell_gammaell_ -fracgamma -sqrt-fracv^c^ &approx fracfracv^c^ numpr. The last is valid because vll c. Taylor expansion for the function fx-sqrt-x around x where x substitutes fracv^c^.
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Exercise:
Escape velocity from the Earth is kilometerperhour. What would be the percent decrease in length of a .m long rocket traveling at that speed?

Solution:
The percentual change in the length is: fracDelta ellell_ fracell_-ellell_ fracell_-fracell_gammaell_ -fracgamma -sqrt-fracv^c^ &approx fracfracv^c^ numpr. The last is valid because vll c. Taylor expansion for the function fx-sqrt-x around x where x substitutes fracv^c^.
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Tags
contraction, einstein, escaping, length, physics, relativity, rocket, srt
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Difficulty
(3, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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Link