Astronomie: Gravitationsenergie 18
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
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Exercise:
Ein kosmischer String ist ein hypothetisches Objekt aus der sog.Stringtheorie. Die Gravitationskraft eines langen homogenen geraden Fadens auf eine Probemasse m im Abstand r ist F_G km/r mit einer Konstanten k. Berechnen Sie formal die potentielle Energie E_p dieser Probemasse im Feld des Strings. Diskutieren Sie die Formel für E_p. quad
Solution:
% . Okt. Lie. * E_p F ds frackmr dr kmfracdrr kmln r + textconst rightarrow E_k kmlnfracrr_ * Der Darstellungswechsel ln r + textconst rightarrow lnr/r_ ist einheitenmässig günstiger. k siJ/kg. newpage
Ein kosmischer String ist ein hypothetisches Objekt aus der sog.Stringtheorie. Die Gravitationskraft eines langen homogenen geraden Fadens auf eine Probemasse m im Abstand r ist F_G km/r mit einer Konstanten k. Berechnen Sie formal die potentielle Energie E_p dieser Probemasse im Feld des Strings. Diskutieren Sie die Formel für E_p. quad
Solution:
% . Okt. Lie. * E_p F ds frackmr dr kmfracdrr kmln r + textconst rightarrow E_k kmlnfracrr_ * Der Darstellungswechsel ln r + textconst rightarrow lnr/r_ ist einheitenmässig günstiger. k siJ/kg. newpage
Meta Information
Exercise:
Ein kosmischer String ist ein hypothetisches Objekt aus der sog.Stringtheorie. Die Gravitationskraft eines langen homogenen geraden Fadens auf eine Probemasse m im Abstand r ist F_G km/r mit einer Konstanten k. Berechnen Sie formal die potentielle Energie E_p dieser Probemasse im Feld des Strings. Diskutieren Sie die Formel für E_p. quad
Solution:
% . Okt. Lie. * E_p F ds frackmr dr kmfracdrr kmln r + textconst rightarrow E_k kmlnfracrr_ * Der Darstellungswechsel ln r + textconst rightarrow lnr/r_ ist einheitenmässig günstiger. k siJ/kg. newpage
Ein kosmischer String ist ein hypothetisches Objekt aus der sog.Stringtheorie. Die Gravitationskraft eines langen homogenen geraden Fadens auf eine Probemasse m im Abstand r ist F_G km/r mit einer Konstanten k. Berechnen Sie formal die potentielle Energie E_p dieser Probemasse im Feld des Strings. Diskutieren Sie die Formel für E_p. quad
Solution:
% . Okt. Lie. * E_p F ds frackmr dr kmfracdrr kmln r + textconst rightarrow E_k kmlnfracrr_ * Der Darstellungswechsel ln r + textconst rightarrow lnr/r_ ist einheitenmässig günstiger. k siJ/kg. newpage
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