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Reagenzglas in Flüssigkeit

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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/reagenzglas-in-flussigkeit/

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Exercise:
Ein mit Bleischrot gefülltes Reagenzglas Gesamtmasse m Querschnitt A schwimmt in einer Flüssigkeit mit der Dichte rho. Wird das Reagenzglas ein wenig in die Flüssigkeit gedrückt und dann losgelassen so fängt es stark gedämpft zu schwingen an. Zeige dass das Reagenzglas harmonisch schwingt und bestimme seine Schwingungsdauer.

Solution:
Auf das Reagenzglas wirken die Gewichtskraft und die Auftriebskraft. Legen wir die positive Richtung in Richtung der Gewichtskraft fest dann gilt sscFrest sscFG - sscFAt. labeleq:res Für die Auftriebskraft gilt sscFAt rho g sscVvert rho g A h+yt labeleq:FA wobei h die Eauchtiefe in der Gleichgewichtslage ist. In letzterer gilt sscFG sscFA m g rho g A h. labeleq:ic Setzen wir refeq:ic und refeq:FA in refeq:res ein dann erhalten wir m at m g - rho g A h+yt m at m g - underbracerho g A h_m g+ rho g A yt at -underbracefracrho g Am_omega^ yt. Damit haben wir gezeigt dass das Reagenzglas harmonisch mit der Schwingungsdauer T fracpiomega pi sqrtfracmrho g A schwingt.

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Tags	archimedes, archimedisches, auftrieb, harmonische, physik, prinzip, reagenzglas, schwingung, wellenlehre, zeige, zeigen
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Difficulty	(4, default)
Points	3 (default)
Language	(Deutsch)
Type	Both
Creator	uz
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