Exercise
https://texercises.com/exercise/aluminium-floating-in-mercury/
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The following quantities appear in the problem: Kraft \(F\) / Volumen \(V\) / Ortsfaktor \(g\) / Dichte \(\varrho\) / Verhältnis / Anteil \(\eta\) /
The following formulas must be used to solve the exercise: \(\eta = \dfrac{a}{A} \quad \) \(F = \varrho V g \quad \)
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Exercise:
What fraction of a piece of aluminium rAlO will be submerged when it floats in mercury rHgO?

Solution:
The buoyant force and the gravitational force acting on the aluminium have to be of equal strength hence the aluminium floats: sscFA sscFG rho_ V_v g rho_ V g V_v fracrho_rho_ V This gives a relation between the submerged fraction of the aluminium V_v and the total volume of the aluminium V. For the submerged fraction or percentage in other words we find: eta fracV_vV fracrho_rho_ fracrAlrHg net netP netpP eta fracrho_rho_ netP netpP
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Exercise:
What fraction of a piece of aluminium rAlO will be submerged when it floats in mercury rHgO?

Solution:
The buoyant force and the gravitational force acting on the aluminium have to be of equal strength hence the aluminium floats: sscFA sscFG rho_ V_v g rho_ V g V_v fracrho_rho_ V This gives a relation between the submerged fraction of the aluminium V_v and the total volume of the aluminium V. For the submerged fraction or percentage in other words we find: eta fracV_vV fracrho_rho_ fracrAlrHg net netP netpP eta fracrho_rho_ netP netpP
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Attributes & Decorations
Branches
Hydrostatics
Tags
aluminium, archimedes, archimedes', buoyancy, hydrostatics, mechanics, mercury, physics, principle
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Difficulty
(4, default)
Points
4 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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Link