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Schnellzug

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/schnellzug-1/

Question

Solution

Short

Video

\(\LaTeX\)

Need help? Yes, please!

The following quantities appear in the problem: Masse \(m\) / Temperatur \(T\) / Energie \(E\) / Wärme \(Q\) / Ortsfaktor \(g\) / Höhe \(h\) / Wärmekapazität \(c\) /

The following formulas must be used to solve the exercise: \(\sum E_{\scriptscriptstyle\rm tot} \stackrel{!}{=} \sum E_{\scriptscriptstyle\rm tot}' \quad \) \(Q = c \cdot m \cdot \Delta\vartheta \quad \) \(E_{\rm \scriptscriptstyle kin} = \dfrac12 mv^2 \quad \) \(E_{\rm \scriptscriptstyle pot} = mgh \quad \)

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No explanation / solution video for this exercise has yet been created.
But there is a video to a similar exercise:

In case your browser prevents YouTube embedding: https://youtu.be/rDInZlp0hAY

Exercise:
Ein Schnellzug von pqt fährt mit der Geschwindigkeit pq. Welche Wärmemenge wird beim Abbremsen bis zum Stillstand entwickelt und welche Wassermasse von TCelsius könnte damit auf den Siedepunkt bei Normdruck erhitzt werden?

Solution:
Die Wärmemenge die zum Abbremsen des Zuges entwickelt wird entspricht seiner kinetischen Energie Ekin fracmv^ frac pqkg leftpqright^ frac pqkg leftpqright^ frac pqkg pqmqpsq pq.eJ. Damit könnte man folge Wassermenge erhitzen: Ekin &mustbe Q c m Dtheta pq.eJ pqJpkgK m pqK m fracpq.eJpqJpkgK pqK pqkg.

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Kalorik und Energieerhaltungssatz by TeXercises

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Attributes & Decorations

Branches	Laws of Thermodynamics, Work, Energy, Power
Tags	energie, energieerhaltung, energieerhaltungssatz, geschwindigkeit, kalorik, kinetische energie, physik, thermodynamik, wärme, wärmelehre
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Difficulty	(2, default)
Points	2 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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