Pilatus Zahnradbahn
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.
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 -
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 -
Question
Solution
Short
Video
\(\LaTeX\)
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Exercise:
Die steilste Zahnradbahn der Welt am Pilatus überwindet eine Höhifferenz von pqm in pqmin. Die Triebwagen erbringen mit einer Fahrdrahtspannung von pqV eine Leistung von pqkW. abcliste abc Berechne die mittlere Stromstärke welche durch die Triebwagen fliesst. abc Berechne den Wirkungsgrad der Bahn wenn ein Triebwagen pqt Masse hat und Personen pqkg fassen kann. abc Wie teuer kommt die Betreiber eine Fahrt bergwärts zu stehen wenn diese pqmin dauert und die Kilowattstunde zu pqRp. gerechnet wird? abcliste
Solution:
abcliste abc Die Stromstärke ist: I fracPU pq.A. abc Die nutzbare mechanische Leistung der Bahn ist: P_n fracWt fracM+mght fracpq.eJpqs pqkW. Der Wirkungsgrad ist damit: eta fracP_P fracpqkWpqkW . %. abc Eine Fahrt bergwärts verbraucht die Energie E Pt pqkWh. Bei dem angegebenen Preis müssen die Betreiber mit Stromkosten von pq.CHF pro Fahrt rechnen. abcliste
Die steilste Zahnradbahn der Welt am Pilatus überwindet eine Höhifferenz von pqm in pqmin. Die Triebwagen erbringen mit einer Fahrdrahtspannung von pqV eine Leistung von pqkW. abcliste abc Berechne die mittlere Stromstärke welche durch die Triebwagen fliesst. abc Berechne den Wirkungsgrad der Bahn wenn ein Triebwagen pqt Masse hat und Personen pqkg fassen kann. abc Wie teuer kommt die Betreiber eine Fahrt bergwärts zu stehen wenn diese pqmin dauert und die Kilowattstunde zu pqRp. gerechnet wird? abcliste
Solution:
abcliste abc Die Stromstärke ist: I fracPU pq.A. abc Die nutzbare mechanische Leistung der Bahn ist: P_n fracWt fracM+mght fracpq.eJpqs pqkW. Der Wirkungsgrad ist damit: eta fracP_P fracpqkWpqkW . %. abc Eine Fahrt bergwärts verbraucht die Energie E Pt pqkWh. Bei dem angegebenen Preis müssen die Betreiber mit Stromkosten von pq.CHF pro Fahrt rechnen. abcliste
Meta Information
Exercise:
Die steilste Zahnradbahn der Welt am Pilatus überwindet eine Höhifferenz von pqm in pqmin. Die Triebwagen erbringen mit einer Fahrdrahtspannung von pqV eine Leistung von pqkW. abcliste abc Berechne die mittlere Stromstärke welche durch die Triebwagen fliesst. abc Berechne den Wirkungsgrad der Bahn wenn ein Triebwagen pqt Masse hat und Personen pqkg fassen kann. abc Wie teuer kommt die Betreiber eine Fahrt bergwärts zu stehen wenn diese pqmin dauert und die Kilowattstunde zu pqRp. gerechnet wird? abcliste
Solution:
abcliste abc Die Stromstärke ist: I fracPU pq.A. abc Die nutzbare mechanische Leistung der Bahn ist: P_n fracWt fracM+mght fracpq.eJpqs pqkW. Der Wirkungsgrad ist damit: eta fracP_P fracpqkWpqkW . %. abc Eine Fahrt bergwärts verbraucht die Energie E Pt pqkWh. Bei dem angegebenen Preis müssen die Betreiber mit Stromkosten von pq.CHF pro Fahrt rechnen. abcliste
Die steilste Zahnradbahn der Welt am Pilatus überwindet eine Höhifferenz von pqm in pqmin. Die Triebwagen erbringen mit einer Fahrdrahtspannung von pqV eine Leistung von pqkW. abcliste abc Berechne die mittlere Stromstärke welche durch die Triebwagen fliesst. abc Berechne den Wirkungsgrad der Bahn wenn ein Triebwagen pqt Masse hat und Personen pqkg fassen kann. abc Wie teuer kommt die Betreiber eine Fahrt bergwärts zu stehen wenn diese pqmin dauert und die Kilowattstunde zu pqRp. gerechnet wird? abcliste
Solution:
abcliste abc Die Stromstärke ist: I fracPU pq.A. abc Die nutzbare mechanische Leistung der Bahn ist: P_n fracWt fracM+mght fracpq.eJpqs pqkW. Der Wirkungsgrad ist damit: eta fracP_P fracpqkWpqkW . %. abc Eine Fahrt bergwärts verbraucht die Energie E Pt pqkWh. Bei dem angegebenen Preis müssen die Betreiber mit Stromkosten von pq.CHF pro Fahrt rechnen. abcliste
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Zahnradbahn by TeXercises