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Wasserspiegel im Kochtopf

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We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
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That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.

About difficulty...

We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
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/wasserspiegel-im-kochtopf/

Question

Solution

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The following quantities appear in the problem: Zeit \(t\) / Masse \(m\) / Arbeit \(W\) / Energie \(E\) / Leistung \(P\) / Wärme \(Q\) / spezifische latente Wärme \(L\) /

The following formulas must be used to solve the exercise: \(Q = m \cdot L_{\scriptscriptstyle\rm f} \quad \) \(P = \dfrac{E}{t} = \dfrac{W}{t} \quad \)

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Exercise:
Ein Kochtopf von mm Durchmesser steht auf einer eingeschalteten Herdplatte und enthält siedes Wasser. Um wie viele Millimeter pro Minute sinkt der Wasserspiegel wenn die Heizleistung der Platte .kW beträgt?

Solution:
Geg.: dsimm.sim PsiW tsis L_mathrmv.^siJ/kg Ges.: h pro Minute Berechne m_mathrmw die pro Minute verdampft und dann über mrhoV und VAh den Höhenschwund pro Minute. Es gilt:vspacpt QP tL_mathrmv mqquad mrho Vrho A hrho pir^ h qquad m.sikg Damit erhalten wir mit tsissimin: P tL_mathrmvrho pir^ hRa frachtfracPL_mathrmvrho pir^res.^-m/minres.mm/min Falls mit dem Zwischenresultat für die Masse gerechnet wird erhält man: hfracmrhopir^

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Branches	Work, Energy, Power
Tags	leistung, verdampfen
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Difficulty	(3, default)
Points	0 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	rb
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