TeXercises.com

Holzschlag

About points...

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".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.

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/holzschlag-1/

Question

Solution

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Exercise:
In einer sO langen Waldschneise mit hO Höhifferenz wird ein Baumstamm von mO abwärts geschleppt. Bei vereistem Boden beträgt die Reibungszahl bloss cfO. Wie schnell wäre der ungesicherte Baumstamm in diesem Fall unten maximal?

Solution:
newqtyLm newqtyhm newqtym.ekg newnumMz. newnumMd. Der Stamm hat anfangs nur potentielle Energie ein Teil dieser Energie erzeugt Wärme aufgrund der Reibung wir nennen das Reibungsarbeit der andere Teil könnte in kinetische Energie umgewandelt werden. Mit dem Energieerhaltungssatz finden wir EnergieSchritte PGleichungsscEpot sscEkin + sscWR PGleichungmgh frac mv^ + sscFR ell. PGleichungmgh frac mv^ + mu_ mg sqrtell^-h^ AlgebraSchritte MGleichungmgh mv^ + mu_ mg sqrtell^-h^ MGleichungmgh - mu_ mg sqrtell^-h^ mv^ MGleichungmgh-mu_ sqrtell^-h^ mv^ MGleichunggh-mu_ sqrtell^-h^ v^ PHYSMATH Davon müssen wir die Wurzel ziehen und können die gegebenen Zahlenwerte einsetzen: solqtyvsqrtgh-mu_ sqrtell^-h^sqrt*ncgn*hn-Mdn*sqrtLn**-hn** al v vf sqrtncgnqtyh-MdsqrtqtyL^-qtyh^ vTTTT approx vTT.

Meta Information

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Contained in these collections:

Energieerhaltung by uz

12 | 12

Attributes & Decorations

Branches	Laws of Thermodynamics, Work, Energy, Power
Tags	arbeit, energie, energieerhaltung, hangabtriebskraft, kinetische energie, mechanik, physik, potentielle energie, reibung, reibungsarbeit, schiefe ebene, steigung, trigonometrie, winkel
Content image
Difficulty	(4, default)
Points	3 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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