Gotthard-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.
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:
Ein Gotthard-Schnellzug fährt um : Uhr in der Station Erstfeld hEO~ü.~M. weg und kommt um : Uhr in Göschenen hGO~ü.~M. an. Der totale spezifische Fahrwiderstand betrage ntO der Gewichtskraft des Zuges die totale Masse des Zuges sei mO. Wie gross ist die mittlere mechanische Leistung längs der sO langen Strecke? Die Energie zum Beschleunigen des Zuges -- sie wird teilweise beim Abbremsen zurückgewonnen -- ist zu vernachlässigen.
Solution:
Es sind E mgh sscFG h m ncg dh E Hubarbeit währ tO aufzubringen was P fracEt fracmght fracEt P mittlerer mechanischer Leistung entspricht. P fracmght P
Ein Gotthard-Schnellzug fährt um : Uhr in der Station Erstfeld hEO~ü.~M. weg und kommt um : Uhr in Göschenen hGO~ü.~M. an. Der totale spezifische Fahrwiderstand betrage ntO der Gewichtskraft des Zuges die totale Masse des Zuges sei mO. Wie gross ist die mittlere mechanische Leistung längs der sO langen Strecke? Die Energie zum Beschleunigen des Zuges -- sie wird teilweise beim Abbremsen zurückgewonnen -- ist zu vernachlässigen.
Solution:
Es sind E mgh sscFG h m ncg dh E Hubarbeit währ tO aufzubringen was P fracEt fracmght fracEt P mittlerer mechanischer Leistung entspricht. P fracmght P
Meta Information
Exercise:
Ein Gotthard-Schnellzug fährt um : Uhr in der Station Erstfeld hEO~ü.~M. weg und kommt um : Uhr in Göschenen hGO~ü.~M. an. Der totale spezifische Fahrwiderstand betrage ntO der Gewichtskraft des Zuges die totale Masse des Zuges sei mO. Wie gross ist die mittlere mechanische Leistung längs der sO langen Strecke? Die Energie zum Beschleunigen des Zuges -- sie wird teilweise beim Abbremsen zurückgewonnen -- ist zu vernachlässigen.
Solution:
Es sind E mgh sscFG h m ncg dh E Hubarbeit währ tO aufzubringen was P fracEt fracmght fracEt P mittlerer mechanischer Leistung entspricht. P fracmght P
Ein Gotthard-Schnellzug fährt um : Uhr in der Station Erstfeld hEO~ü.~M. weg und kommt um : Uhr in Göschenen hGO~ü.~M. an. Der totale spezifische Fahrwiderstand betrage ntO der Gewichtskraft des Zuges die totale Masse des Zuges sei mO. Wie gross ist die mittlere mechanische Leistung längs der sO langen Strecke? Die Energie zum Beschleunigen des Zuges -- sie wird teilweise beim Abbremsen zurückgewonnen -- ist zu vernachlässigen.
Solution:
Es sind E mgh sscFG h m ncg dh E Hubarbeit währ tO aufzubringen was P fracEt fracmght fracEt P mittlerer mechanischer Leistung entspricht. P fracmght P
Contained in these collections:
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Wirkungsgrad by uz
Asked Quantity:
Leistung \(P\)
in
Watt \(\rm W\)
Physical Quantity
Unit
Watt (\(\rm W\))
Base?
SI?
Metric?
Coherent?
Imperial?