Elektronen auf Kreisbahn
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:
Berechne formal welche potentielle und welche kinetische Energie ein um Z Protonen kreises Elektron abhängig von seinem Abstand hätte falls man dieselben physikalischen Prinzipien wie bei einem einen Himmelskörper umkreisen Satelliten zugrunde legt.
Solution:
Die potentielle Energie des Elektrons stammt von der Überwindung der elektrischen Kraft; setzt man das Potential unlich weit vom Proton auf null so beträgt diese: Epot _R^infty fracpiepsilon_ fracq_q_r^ddr frac-e Zepiepsilon_ left-fracrright_R^infty frac-Ze^piepsilon_left-fracinfty+fracRright -fracZe^piepsilon_R Für die kinetische Energie eines solchen Elektrons muss gelten dass seine Zentripetalkraft gerade gleich der elektrischen Kraft ist: mfracv^R fracpiepsilon_fracq_q_R^ frac mv^ frac fracpiepsilon_frace ZeR Ekin -frac Epot Die kinetische Energie ist also -- betragsmässig -- gerade halb so gross wie die potentielle Energie. Die totale Energie eines solchen Elektrons beträgt somit: Etot Epot + Ekin -fracZe^piepsilon_R + fracfracZe^piepsilon_R -fracfracZe^piepsilon_R
Berechne formal welche potentielle und welche kinetische Energie ein um Z Protonen kreises Elektron abhängig von seinem Abstand hätte falls man dieselben physikalischen Prinzipien wie bei einem einen Himmelskörper umkreisen Satelliten zugrunde legt.
Solution:
Die potentielle Energie des Elektrons stammt von der Überwindung der elektrischen Kraft; setzt man das Potential unlich weit vom Proton auf null so beträgt diese: Epot _R^infty fracpiepsilon_ fracq_q_r^ddr frac-e Zepiepsilon_ left-fracrright_R^infty frac-Ze^piepsilon_left-fracinfty+fracRright -fracZe^piepsilon_R Für die kinetische Energie eines solchen Elektrons muss gelten dass seine Zentripetalkraft gerade gleich der elektrischen Kraft ist: mfracv^R fracpiepsilon_fracq_q_R^ frac mv^ frac fracpiepsilon_frace ZeR Ekin -frac Epot Die kinetische Energie ist also -- betragsmässig -- gerade halb so gross wie die potentielle Energie. Die totale Energie eines solchen Elektrons beträgt somit: Etot Epot + Ekin -fracZe^piepsilon_R + fracfracZe^piepsilon_R -fracfracZe^piepsilon_R
Meta Information
Exercise:
Berechne formal welche potentielle und welche kinetische Energie ein um Z Protonen kreises Elektron abhängig von seinem Abstand hätte falls man dieselben physikalischen Prinzipien wie bei einem einen Himmelskörper umkreisen Satelliten zugrunde legt.
Solution:
Die potentielle Energie des Elektrons stammt von der Überwindung der elektrischen Kraft; setzt man das Potential unlich weit vom Proton auf null so beträgt diese: Epot _R^infty fracpiepsilon_ fracq_q_r^ddr frac-e Zepiepsilon_ left-fracrright_R^infty frac-Ze^piepsilon_left-fracinfty+fracRright -fracZe^piepsilon_R Für die kinetische Energie eines solchen Elektrons muss gelten dass seine Zentripetalkraft gerade gleich der elektrischen Kraft ist: mfracv^R fracpiepsilon_fracq_q_R^ frac mv^ frac fracpiepsilon_frace ZeR Ekin -frac Epot Die kinetische Energie ist also -- betragsmässig -- gerade halb so gross wie die potentielle Energie. Die totale Energie eines solchen Elektrons beträgt somit: Etot Epot + Ekin -fracZe^piepsilon_R + fracfracZe^piepsilon_R -fracfracZe^piepsilon_R
Berechne formal welche potentielle und welche kinetische Energie ein um Z Protonen kreises Elektron abhängig von seinem Abstand hätte falls man dieselben physikalischen Prinzipien wie bei einem einen Himmelskörper umkreisen Satelliten zugrunde legt.
Solution:
Die potentielle Energie des Elektrons stammt von der Überwindung der elektrischen Kraft; setzt man das Potential unlich weit vom Proton auf null so beträgt diese: Epot _R^infty fracpiepsilon_ fracq_q_r^ddr frac-e Zepiepsilon_ left-fracrright_R^infty frac-Ze^piepsilon_left-fracinfty+fracRright -fracZe^piepsilon_R Für die kinetische Energie eines solchen Elektrons muss gelten dass seine Zentripetalkraft gerade gleich der elektrischen Kraft ist: mfracv^R fracpiepsilon_fracq_q_R^ frac mv^ frac fracpiepsilon_frace ZeR Ekin -frac Epot Die kinetische Energie ist also -- betragsmässig -- gerade halb so gross wie die potentielle Energie. Die totale Energie eines solchen Elektrons beträgt somit: Etot Epot + Ekin -fracZe^piepsilon_R + fracfracZe^piepsilon_R -fracfracZe^piepsilon_R
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