Exercise
https://texercises.com/exercise/surface-of-an-ice-floe-with-a-man-on-it/
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Solution
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The following quantities appear in the problem: Länge \(\ell\) / Masse \(m\) / Kraft \(F\) / Volumen \(V\) / Ortsfaktor \(g\) / Höhe \(h\) / Dichte \(\varrho\) / Breite \(b\) /
The following formulas must be used to solve the exercise: \(F = \varrho V g \quad \) \(F = mg \quad \) \(V = abc \quad \)
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Exercise:
A d thick ice floe rE floats in the North Sea which is frozen over in places. What area would it have to have at least to be able to carry a man of with mM mass?

Solution:
newqtyd.m newqtyr.ekgpcm newqtymkg % The weight of the man and the ice floe together must correspond exactly to the buoyancy force. AuftriebSchritte PGleichungsscFGE + sscFGM sscFA PGleichungsscmE g + sscmM g sscrhoFl g sscVver PGleichungsscrhoE Ad g + sscmMg sscrhoFl g Ad AlgebraSchritte MGleichungsscrhoFl g Ad - sscrhoE Ad g sscmMg MGleichungsscrhoFl-sscrhoEAdg sscmM g MGleichungA fracsscmMsscrhoFl-sscrhoEd PHYSMATH % This means that the ice floe must have an area of at least: newqtyskgpcm solqtyAfracsscmMsscrhoFl-sscrhoEdmn/sn-rn/dnsquaremeter al A Af fracmqtys-r d A TecA
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Exercise:
A d thick ice floe rE floats in the North Sea which is frozen over in places. What area would it have to have at least to be able to carry a man of with mM mass?

Solution:
newqtyd.m newqtyr.ekgpcm newqtymkg % The weight of the man and the ice floe together must correspond exactly to the buoyancy force. AuftriebSchritte PGleichungsscFGE + sscFGM sscFA PGleichungsscmE g + sscmM g sscrhoFl g sscVver PGleichungsscrhoE Ad g + sscmMg sscrhoFl g Ad AlgebraSchritte MGleichungsscrhoFl g Ad - sscrhoE Ad g sscmMg MGleichungsscrhoFl-sscrhoEAdg sscmM g MGleichungA fracsscmMsscrhoFl-sscrhoEd PHYSMATH % This means that the ice floe must have an area of at least: newqtyskgpcm solqtyAfracsscmMsscrhoFl-sscrhoEdmn/sn-rn/dnsquaremeter al A Af fracmqtys-r d A TecA
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Attributes & Decorations
Branches
Hydrostatics
Tags
auftrieb, eisscholle, hydrostatik, kraft, nordsee, physik
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Difficulty
(4, default)
Points
5 (default)
Language
ENG (English)
Type
Calculative / Quantity
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