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https://texercises.com/exercise/lifting-a-cylinder-made-of-lead/
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The following quantities appear in the problem: Masse \(m\) / Energie \(E\) / Volumen \(V\) / Ortsfaktor \(g\) / Höhe \(h\) / Radius \(r\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(E_{\rm \scriptscriptstyle pot} = mgh \quad \) \(V = \pi r^2 \cdot h \quad \)
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Exercise:
A cylinder made of lead rPbO with rO radius can be raised by hO with EO. What height is the cylinder? One inch is .cm. Twelve inches are one foot.

Solution:
Geg rho rPbO rPb r rO r h hO h E EO E GesHeight of the cylinderHsim With the given energy m fracEgh fracEncg h m can be brought to hO of height. So the cylinder made of lead is V fracmrho fracfracEghrho fracErho gh fracmrPb V in volume and its height is H fracVpi r^ fracfracErho ghpi r^ fracEpi rho gh r^ fracVpi qtyr^ H approx HS. H fracEpi rho gh r^ HS
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Exercise:
A cylinder made of lead rPbO with rO radius can be raised by hO with EO. What height is the cylinder? One inch is .cm. Twelve inches are one foot.

Solution:
Geg rho rPbO rPb r rO r h hO h E EO E GesHeight of the cylinderHsim With the given energy m fracEgh fracEncg h m can be brought to hO of height. So the cylinder made of lead is V fracmrho fracfracEghrho fracErho gh fracmrPb V in volume and its height is H fracVpi r^ fracfracErho ghpi r^ fracEpi rho gh r^ fracVpi qtyr^ H approx HS. H fracEpi rho gh r^ HS
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Attributes & Decorations
Asked Quantity
Tags
aluminium, dichte, energie, masse, mechanik, physik, potentielle energie, volume, zylinder
Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
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