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https://texercises.com/exercise/meter-stick/
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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:
What is the speed at which a meter stick flying by an observer is only lO long in the observer's reference frame?

Solution:
The contracted length is ell fraclambdagamma It follows for the Lorentz factor gamma fraclambdaell The velocity as a fraction of the speed of light is thus beta sqrt-fracgamma^ vF sqrt-leftfracllaright^ resultvP
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Exercise:
What is the speed at which a meter stick flying by an observer is only lO long in the observer's reference frame?

Solution:
The contracted length is ell fraclambdagamma It follows for the Lorentz factor gamma fraclambdaell The velocity as a fraction of the speed of light is thus beta sqrt-fracgamma^ vF sqrt-leftfracllaright^ resultvP
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special relativity
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length contraction, lorentz factor
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ENG (English)
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Calculative / Quantity
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