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https://texercises.com/exercise/distance-of-alioth/
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Exercise:
In an Earth reference frame Alioth the third star in the handle of the Plough or Big Dipper is light-years away. How fast would you have to travel so that to you the distance would be only light years?

Solution:
If the distance to the star must be reduced by a factor of gamma fracell_ell fraclyly . you have to travel so fast that the velocity corresponds to this Lorentz-factor: v sqrt-fracgamma^ c . c &approx .e
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Exercise:
In an Earth reference frame Alioth the third star in the handle of the Plough or Big Dipper is light-years away. How fast would you have to travel so that to you the distance would be only light years?

Solution:
If the distance to the star must be reduced by a factor of gamma fracell_ell fraclyly . you have to travel so fast that the velocity corresponds to this Lorentz-factor: v sqrt-fracgamma^ c . c &approx .e
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Tags
contraction, einstein, length, lorentz, lorentz-transformation, physics, relativity, special, transformation
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Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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Link