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Auflagedruck eines Würfels

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Again, very vague... But the number should kind of represent the "work" required.

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Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.

That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:

Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise

Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise

Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise

Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise

Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/auflagedruck-eines-wurfels/

Question

Solution

Short

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The following quantities appear in the problem: Länge \(\ell\) / Masse \(m\) / Kraft \(F\) / Volumen \(V\) / Druck \(p\) / Fläche \(A\) / Ortsfaktor \(g\) / Dichte \(\varrho\) /

The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(p = \dfrac{F}{A} \quad \) \(F = mg \quad \) \(A = s^2 \quad \) \(V = a^3 \quad \)

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Exercise:
Wie groß ist der Auflagedruck eines Würfels mit der Kantenlänge von .cm der aus Holz gefertigt wurde Dichte sikg/m^?

Solution:
Geg.: ell.sim varrhosikg/m^ Ges.: p Es gelten: pfracFA;textmit; Aell^;textund;Fmg Wir brauchen die Masse m die wir aus dem Volumen V des Würfels und der Dichte rho berechnen können: mvarrho Vvarrho ell^ Damit erhalten wir: pfracvarrho ell^bcancel gcancell^varrho ell gresPa Falls mit Zwischenresultaten gerechnet wird: A.sim^qquad V.sim^qquad m.sikg Beachte die allgemein Lösung: pvarrho ell g. Betrachten wir ell als Höhe des Würfels über der Grundfläche entspricht die Gleichung derjenigen für den Schweredruck einer Flüssigkeit bwz. eines Gases.

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Contained in these collections:

Auflagedruck von Metallwürfel by TeXercises

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Attributes & Decorations

Tags	druck, juniorübung, mechanik
Content image
Difficulty	(2, default)
Points	0 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	rb
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