Exercise
https://texercises.com/exercise/marsmond-phobos/
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The following quantities appear in the problem: Masse \(m\) / Kraft \(F\) / Radius \(r\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) /
The following formulas must be used to solve the exercise: \(F = G \dfrac{m_1m_2}{r^2} \quad \) \(F = mr\omega^2 \quad \)
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Exercise:
Marsmond Phobos hat rO Bahnradius und TO Umlaufzeit. DuSieBerechneBerechnen Sie aus diesen Angaben die Masse des Planeten Mars.

Solution:
* &F_resma_zRightarrow fracGMmr^mromega^mrleftfracpiTright^ Rightarrow M fracr^G leftfracpiTright^ &M fraceeesim^.eesiN m^/kg^ leftfracpi. sisright^ uuline.eeesikg * FoTa: .eeesikg
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Exercise:
Marsmond Phobos hat rO Bahnradius und TO Umlaufzeit. DuSieBerechneBerechnen Sie aus diesen Angaben die Masse des Planeten Mars.

Solution:
* &F_resma_zRightarrow fracGMmr^mromega^mrleftfracpiTright^ Rightarrow M fracr^G leftfracpiTright^ &M fraceeesim^.eesiN m^/kg^ leftfracpi. sisright^ uuline.eeesikg * FoTa: .eeesikg
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Phobos
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GER (Deutsch)
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