Exercise
https://texercises.com/exercise/verkurzter-massstab/
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The following quantities appear in the problem: Länge \(\ell\) / Geschwindigkeit \(v\) /
The following formulas must be used to solve the exercise: \(\gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}} \quad \) \(\ell = \frac{\ell_0}{\gamma} \quad \)
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Exercise:
Bei welcher Geschwindigkeit ist ein Massstab lzO genau dlO kürzer als in Ruhe?

Solution:
&ell_ ell_/gamma approx ell_-ell_tfracbeta^ Rightarrow beta^ fracDeltaellell_ & v cbeta csqrt fracDeltaellell_ .eeesim/ssqrt frac simmsimm uuline.eeesim/s
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\(\LaTeX\)-Code
Exercise:
Bei welcher Geschwindigkeit ist ein Massstab lzO genau dlO kürzer als in Ruhe?

Solution:
&ell_ ell_/gamma approx ell_-ell_tfracbeta^ Rightarrow beta^ fracDeltaellell_ & v cbeta csqrt fracDeltaellell_ .eeesim/ssqrt frac simmsimm uuline.eeesim/s
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L1mKont1mmV
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Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator Lie
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Link