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https://texercises.com/exercise/masse-einer-goldkugel-1/
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The following quantities appear in the problem: Masse \(m\) / Volumen \(V\) / Radius \(r\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(V = \dfrac{4}{3}\pi r^3 \quad \)
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Exercise:
Was hätte eine Kugel mit cm Radius komplett aus Gold .kilogramperliter für eine Masse?

Solution:
newqtyr.m newqtyrhkilogrampercubicmeter Geg r cm r rho .kilogramperliter rh GesMassemsikg Das Volumen der Kugel ist: solqtyV/*pi*rn^cubicmeter V frac pi r^ V Die Masse der Kugel ist somit: solqtymrhn*Vnkg m rho V rho frac pi r^ m m frac pi rho r^ m
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Exercise:
Was hätte eine Kugel mit cm Radius komplett aus Gold .kilogramperliter für eine Masse?

Solution:
newqtyr.m newqtyrhkilogrampercubicmeter Geg r cm r rho .kilogramperliter rh GesMassemsikg Das Volumen der Kugel ist: solqtyV/*pi*rn^cubicmeter V frac pi r^ V Die Masse der Kugel ist somit: solqtymrhn*Vnkg m rho V rho frac pi r^ m m frac pi rho r^ m
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Attributes & Decorations
Tags
dichte, gold, kugel, mechanik, physik, radius, volume
Difficulty
(2, default)
Points
5 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
Content image