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https://texercises.com/exercise/density-of-a-moon-rock/
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The following quantities appear in the problem: Masse \(m\) / Kraft \(F\) / Volumen \(V\) / Ortsfaktor \(g\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(F = \varrho V g \quad \) \(\varrho = \dfrac{m}{V} \quad \) \(F = mg \quad \)
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Exercise:
A geologist finds that a Moon rock whose weight is FaO has an apparent weight of FbO when submerged in water. What is the density of the rock?

Solution:
The buoyant force is F F_-F_ Fa-Fb dF and so the volume in water displaced by the rock is V fracFsscrhoW g fracdFr ncg V. Because the rocks mass is m fracF_g fracFancg m it follows that the density of the rock is rho fracmV fracmV d.
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Exercise:
A geologist finds that a Moon rock whose weight is FaO has an apparent weight of FbO when submerged in water. What is the density of the rock?

Solution:
The buoyant force is F F_-F_ Fa-Fb dF and so the volume in water displaced by the rock is V fracFsscrhoW g fracdFr ncg V. Because the rocks mass is m fracF_g fracFancg m it follows that the density of the rock is rho fracmV fracmV d.
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Attributes & Decorations
Asked Quantity
Branches
Hydrostatics
Tags
archimedes, archimedisches prinzip, buoyancy, density, hydrostatics, moon, physics, principle, water
Difficulty
(3, default)
Points
4 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
Content image