Intervalltraining
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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Video
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Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Zwei Ereignisse haben die Koordinaten x_t_ und x_t_ im System S. Man sagt auch das Raumervall zwischen den beiden Ereignissen ist Delta x und das Zeitervall zwischen den Ereignissen ist Delta t. Wie immer bewegt sich S' relativ zu S mit der Geschwindigkeit v. Berechnen Sie enumerate item Das Raumervall Delta x' Abstand der Ereignisse aus Sicht von S' item Das Zeitervall Delta t' enumerate
Solution:
enumerate item Das Raumervall Delta x' & x_'-x_'gamma left x_-vt_ right -gamma left x_-vt_ right &gamma left x_-x_-vt_-t_ right longrightarrow Delta x' &gamma left Delta x - vDelta t right item Das Zeitervall Delta t' Delta t' & t_'-t_'gamma left t_- fracvx_c^ right - gamma left t_- fracvx_c^ right &gamma left t_-t_- fracvc^ x_- x_ right longrightarrow Delta t' &gamma left Delta t - fracvDelta xc^ right enumerate Wegen der bf Linearität der LT transformieren die bf Intervalle genau gleich wie die bf Koordinaten.
Zwei Ereignisse haben die Koordinaten x_t_ und x_t_ im System S. Man sagt auch das Raumervall zwischen den beiden Ereignissen ist Delta x und das Zeitervall zwischen den Ereignissen ist Delta t. Wie immer bewegt sich S' relativ zu S mit der Geschwindigkeit v. Berechnen Sie enumerate item Das Raumervall Delta x' Abstand der Ereignisse aus Sicht von S' item Das Zeitervall Delta t' enumerate
Solution:
enumerate item Das Raumervall Delta x' & x_'-x_'gamma left x_-vt_ right -gamma left x_-vt_ right &gamma left x_-x_-vt_-t_ right longrightarrow Delta x' &gamma left Delta x - vDelta t right item Das Zeitervall Delta t' Delta t' & t_'-t_'gamma left t_- fracvx_c^ right - gamma left t_- fracvx_c^ right &gamma left t_-t_- fracvc^ x_- x_ right longrightarrow Delta t' &gamma left Delta t - fracvDelta xc^ right enumerate Wegen der bf Linearität der LT transformieren die bf Intervalle genau gleich wie die bf Koordinaten.
Meta Information
Exercise:
Zwei Ereignisse haben die Koordinaten x_t_ und x_t_ im System S. Man sagt auch das Raumervall zwischen den beiden Ereignissen ist Delta x und das Zeitervall zwischen den Ereignissen ist Delta t. Wie immer bewegt sich S' relativ zu S mit der Geschwindigkeit v. Berechnen Sie enumerate item Das Raumervall Delta x' Abstand der Ereignisse aus Sicht von S' item Das Zeitervall Delta t' enumerate
Solution:
enumerate item Das Raumervall Delta x' & x_'-x_'gamma left x_-vt_ right -gamma left x_-vt_ right &gamma left x_-x_-vt_-t_ right longrightarrow Delta x' &gamma left Delta x - vDelta t right item Das Zeitervall Delta t' Delta t' & t_'-t_'gamma left t_- fracvx_c^ right - gamma left t_- fracvx_c^ right &gamma left t_-t_- fracvc^ x_- x_ right longrightarrow Delta t' &gamma left Delta t - fracvDelta xc^ right enumerate Wegen der bf Linearität der LT transformieren die bf Intervalle genau gleich wie die bf Koordinaten.
Zwei Ereignisse haben die Koordinaten x_t_ und x_t_ im System S. Man sagt auch das Raumervall zwischen den beiden Ereignissen ist Delta x und das Zeitervall zwischen den Ereignissen ist Delta t. Wie immer bewegt sich S' relativ zu S mit der Geschwindigkeit v. Berechnen Sie enumerate item Das Raumervall Delta x' Abstand der Ereignisse aus Sicht von S' item Das Zeitervall Delta t' enumerate
Solution:
enumerate item Das Raumervall Delta x' & x_'-x_'gamma left x_-vt_ right -gamma left x_-vt_ right &gamma left x_-x_-vt_-t_ right longrightarrow Delta x' &gamma left Delta x - vDelta t right item Das Zeitervall Delta t' Delta t' & t_'-t_'gamma left t_- fracvx_c^ right - gamma left t_- fracvx_c^ right &gamma left t_-t_- fracvc^ x_- x_ right longrightarrow Delta t' &gamma left Delta t - fracvDelta xc^ right enumerate Wegen der bf Linearität der LT transformieren die bf Intervalle genau gleich wie die bf Koordinaten.
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