Exercise
https://texercises.com/exercise/astronomie-gravitationsfeld-12/
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The following quantities appear in the problem: Masse \(m\) / Volumen \(V\) / Ortsfaktor \(g\) / Radius \(r\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(g = \dfrac{GM}{r^2} \quad \) \(V = \dfrac{4}{3}\pi r^3 \quad \)
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Exercise:
Drücken Sie die Gravitationsfeldstärke an der Oberfläche eines runden Planetoiden durch seinen Radius und die mittlere Dichte aus.

Solution:
% . Januar Lie * g fracGMr^ fracG rho tfracpi r^ r^ tfracpi Grho r * newpage
Meta Information
\(\LaTeX\)-Code
Exercise:
Drücken Sie die Gravitationsfeldstärke an der Oberfläche eines runden Planetoiden durch seinen Radius und die mittlere Dichte aus.

Solution:
% . Januar Lie * g fracGMr^ fracG rho tfracpi r^ r^ tfracpi Grho r * newpage
Contained in these collections:
  1. Planet und Dichte by TeXercises
    7 | 9

Attributes & Decorations
Tags
PanetoGDichte
Content image
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Algebraic
Creator Lie
Decoration
File
Link