Satellitenuhr in Höhe
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:
a Auf einer Höhe von km über der Erdoberfläche heben sich die Einflüsse auf den Gang einer Satellitenuhr die von SRT und ART verursacht werden gerade auf. BdW - S Rechnen Sie das nach. b In km über Meer km vom Erdmittelpunkt entfernt heben sich die Effekte auf. BdW - S qquad Welche der beiden Angaben stimmt jetzt?
Solution:
% . Feb. Lie. * Delta t_textSRT fracDelta t_sqrt-v^/c^ Delta t_textART Delta t_sqrt - fracDeltavarphic^ Delta t_ &oversettextsoll fracDelta t_sqrt-v^/c^ sqrt - fracDeltavarphic^ sqrt - fracDeltavarphic^ &oversettextsoll sqrt-fracv^c^ -fracDeltavarphic^ -fracv^c^ &varphi -fracGMr &v^ fracv^r r fracGMr^ r fracGMr -fracGMr_Ec^ +fracGMrc^ -fracGMrc^ fracGMrc^ fracGMr_Ec^ r frac r_E frac sikm sikm h r-r_E tfrac r_E sikm r_b h_b sikm sikm * Die Höhe im Zitat a und der Abstand vom Erdmittelpunkt in b scheinen korrekt zu sein denn es ist nicht ganz klar welcher Erdradius verwet werden soll. Die Höhe im Zitat b sche falsch zu sein denn h_b ist klar kleiner als der polare und äquatoriale Erdradius. newpage
a Auf einer Höhe von km über der Erdoberfläche heben sich die Einflüsse auf den Gang einer Satellitenuhr die von SRT und ART verursacht werden gerade auf. BdW - S Rechnen Sie das nach. b In km über Meer km vom Erdmittelpunkt entfernt heben sich die Effekte auf. BdW - S qquad Welche der beiden Angaben stimmt jetzt?
Solution:
% . Feb. Lie. * Delta t_textSRT fracDelta t_sqrt-v^/c^ Delta t_textART Delta t_sqrt - fracDeltavarphic^ Delta t_ &oversettextsoll fracDelta t_sqrt-v^/c^ sqrt - fracDeltavarphic^ sqrt - fracDeltavarphic^ &oversettextsoll sqrt-fracv^c^ -fracDeltavarphic^ -fracv^c^ &varphi -fracGMr &v^ fracv^r r fracGMr^ r fracGMr -fracGMr_Ec^ +fracGMrc^ -fracGMrc^ fracGMrc^ fracGMr_Ec^ r frac r_E frac sikm sikm h r-r_E tfrac r_E sikm r_b h_b sikm sikm * Die Höhe im Zitat a und der Abstand vom Erdmittelpunkt in b scheinen korrekt zu sein denn es ist nicht ganz klar welcher Erdradius verwet werden soll. Die Höhe im Zitat b sche falsch zu sein denn h_b ist klar kleiner als der polare und äquatoriale Erdradius. newpage
Meta Information
Exercise:
a Auf einer Höhe von km über der Erdoberfläche heben sich die Einflüsse auf den Gang einer Satellitenuhr die von SRT und ART verursacht werden gerade auf. BdW - S Rechnen Sie das nach. b In km über Meer km vom Erdmittelpunkt entfernt heben sich die Effekte auf. BdW - S qquad Welche der beiden Angaben stimmt jetzt?
Solution:
% . Feb. Lie. * Delta t_textSRT fracDelta t_sqrt-v^/c^ Delta t_textART Delta t_sqrt - fracDeltavarphic^ Delta t_ &oversettextsoll fracDelta t_sqrt-v^/c^ sqrt - fracDeltavarphic^ sqrt - fracDeltavarphic^ &oversettextsoll sqrt-fracv^c^ -fracDeltavarphic^ -fracv^c^ &varphi -fracGMr &v^ fracv^r r fracGMr^ r fracGMr -fracGMr_Ec^ +fracGMrc^ -fracGMrc^ fracGMrc^ fracGMr_Ec^ r frac r_E frac sikm sikm h r-r_E tfrac r_E sikm r_b h_b sikm sikm * Die Höhe im Zitat a und der Abstand vom Erdmittelpunkt in b scheinen korrekt zu sein denn es ist nicht ganz klar welcher Erdradius verwet werden soll. Die Höhe im Zitat b sche falsch zu sein denn h_b ist klar kleiner als der polare und äquatoriale Erdradius. newpage
a Auf einer Höhe von km über der Erdoberfläche heben sich die Einflüsse auf den Gang einer Satellitenuhr die von SRT und ART verursacht werden gerade auf. BdW - S Rechnen Sie das nach. b In km über Meer km vom Erdmittelpunkt entfernt heben sich die Effekte auf. BdW - S qquad Welche der beiden Angaben stimmt jetzt?
Solution:
% . Feb. Lie. * Delta t_textSRT fracDelta t_sqrt-v^/c^ Delta t_textART Delta t_sqrt - fracDeltavarphic^ Delta t_ &oversettextsoll fracDelta t_sqrt-v^/c^ sqrt - fracDeltavarphic^ sqrt - fracDeltavarphic^ &oversettextsoll sqrt-fracv^c^ -fracDeltavarphic^ -fracv^c^ &varphi -fracGMr &v^ fracv^r r fracGMr^ r fracGMr -fracGMr_Ec^ +fracGMrc^ -fracGMrc^ fracGMrc^ fracGMr_Ec^ r frac r_E frac sikm sikm h r-r_E tfrac r_E sikm r_b h_b sikm sikm * Die Höhe im Zitat a und der Abstand vom Erdmittelpunkt in b scheinen korrekt zu sein denn es ist nicht ganz klar welcher Erdradius verwet werden soll. Die Höhe im Zitat b sche falsch zu sein denn h_b ist klar kleiner als der polare und äquatoriale Erdradius. newpage
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