Exercise
https://texercises.com/exercise/inclined-plane-on-the-moon/
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The following quantities appear in the problem: Masse \(m\) / Kraft \(F\) / Ortsfaktor \(g\) / Winkel \(\theta\) /
The following formulas must be used to solve the exercise: \(F = mg \quad \) \(F_\parallel = F_G \cdot \sin\alpha \quad \)
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Exercise:
An astronaut on the moon finds that a ball of mO mass placed on an inclined plane is moved downwards along it with FpO. At what angle is the plane inclined?

Solution:
Geg textmoon rightarrow g gO m mO m F_parallel FpO Fp GesAnglealphasirad SolQtyFgmX*gXN sscFG mg m g Fg SolQtyalprasinFpX/FgXrad SolQtyalpdasindFpX/FgXdegree alpha arcsinfracF_parallelsscFG arcsinfracF_parallelmg arcsinfracFpFg alpr alpdQ approx alprS alpdP alpha arcsinfracF_parallelmg alprS alpdP
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\(\LaTeX\)-Code
Exercise:
An astronaut on the moon finds that a ball of mO mass placed on an inclined plane is moved downwards along it with FpO. At what angle is the plane inclined?

Solution:
Geg textmoon rightarrow g gO m mO m F_parallel FpO Fp GesAnglealphasirad SolQtyFgmX*gXN sscFG mg m g Fg SolQtyalprasinFpX/FgXrad SolQtyalpdasindFpX/FgXdegree alpha arcsinfracF_parallelsscFG arcsinfracF_parallelmg arcsinfracFpFg alpr alpdQ approx alprS alpdP alpha arcsinfracF_parallelmg alprS alpdP
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Tags
ebene, kraft, kraftkomponente, kräftezerlegung, mars, mechanik, physik, schief, schiefe ebene
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Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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Link