Exercise
https://texercises.com/exercise/weight-of-a-cone-on-the-moon/
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The following quantities appear in the problem: Masse \(m\) / Kraft \(F\) / Volumen \(V\) / Ortsfaktor \(g\) / Höhe \(h\) / Radius \(r\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(F = mg \quad \) \(V = \dfrac{1}{3}\pi r^2 h \quad \)
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Exercise:
What would a hO high cone made of concrete rO with RO radius weigh on the moon?

Solution:
Geg h hO h rho rO r r RO R GesWeightFsiN The cone has V frac pi r^ h frac pi qtyR^ h V volume and m rho V rho frac pi r^ h r V m mass. Its weight on the moon is hence F mg m g F.
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\(\LaTeX\)-Code
Exercise:
What would a hO high cone made of concrete rO with RO radius weigh on the moon?

Solution:
Geg h hO h rho rO r r RO R GesWeightFsiN The cone has V frac pi r^ h frac pi qtyR^ h V volume and m rho V rho frac pi r^ h r V m mass. Its weight on the moon is hence F mg m g F.
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Tags
cone, density, gravitation, mass, mechanics, physics, weight
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(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
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