Turmspringer
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
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
Masse \(m\) / Kraft \(F\) / Geschwindigkeit \(v\) / Strecke \(s\) / Beschleunigung \(a\) /
The following formulas must be used to solve the exercise:
\(s = \dfrac{v^2-v_0^2}{2a} \quad \) \(F = ma \quad \)
No explanation / solution video for this exercise has yet been created.
But there is a video to a similar exercise:
In case your browser prevents YouTube embedding: https://youtu.be/ogyR6Z9uU6M
But there is a video to a similar exercise:
Exercise:
Ein Turmspringer .kg springt vom .m Turm ins Wasser wo er eine Bremskraft von .kN erfährt. Wie tief taucht der Springer ins Wasser ein?
Solution:
Da die Bremskraft richtungsmässig dem Weg entgegengesetzt wirkt: negatives Vorzeichen beachten! boxGegeben m kg s_ m F -.kN -.eN % boxGesucht textEauchtiefe/-Strecke s_sim % Wenn der Turmspringer auf dem m Brett startet so hat er wegen s fracv^g in dem Moment wo er anfängt ins Wasser einzutauchen die folge Geschwindigkeit: v_ sqrtgs_ sqrt .meterpersecondsquared m .meterpersecond Das Wasser verändert dann die Geschwindigkeit des Turmspringers mit der Brems-Beschleunigung a fracFm -.meterpersecondsquared. Der Turmspringer taucht also s_ frac-v_^a frac-gs_fracFm frac-mgs_F frac-.meterpersecond^ -.meterpersecondsquared .m ins Wasser ein. % boxbox s_ frac-mgs_F .m
Ein Turmspringer .kg springt vom .m Turm ins Wasser wo er eine Bremskraft von .kN erfährt. Wie tief taucht der Springer ins Wasser ein?
Solution:
Da die Bremskraft richtungsmässig dem Weg entgegengesetzt wirkt: negatives Vorzeichen beachten! boxGegeben m kg s_ m F -.kN -.eN % boxGesucht textEauchtiefe/-Strecke s_sim % Wenn der Turmspringer auf dem m Brett startet so hat er wegen s fracv^g in dem Moment wo er anfängt ins Wasser einzutauchen die folge Geschwindigkeit: v_ sqrtgs_ sqrt .meterpersecondsquared m .meterpersecond Das Wasser verändert dann die Geschwindigkeit des Turmspringers mit der Brems-Beschleunigung a fracFm -.meterpersecondsquared. Der Turmspringer taucht also s_ frac-v_^a frac-gs_fracFm frac-mgs_F frac-.meterpersecond^ -.meterpersecondsquared .m ins Wasser ein. % boxbox s_ frac-mgs_F .m
Meta Information
Exercise:
Ein Turmspringer .kg springt vom .m Turm ins Wasser wo er eine Bremskraft von .kN erfährt. Wie tief taucht der Springer ins Wasser ein?
Solution:
Da die Bremskraft richtungsmässig dem Weg entgegengesetzt wirkt: negatives Vorzeichen beachten! boxGegeben m kg s_ m F -.kN -.eN % boxGesucht textEauchtiefe/-Strecke s_sim % Wenn der Turmspringer auf dem m Brett startet so hat er wegen s fracv^g in dem Moment wo er anfängt ins Wasser einzutauchen die folge Geschwindigkeit: v_ sqrtgs_ sqrt .meterpersecondsquared m .meterpersecond Das Wasser verändert dann die Geschwindigkeit des Turmspringers mit der Brems-Beschleunigung a fracFm -.meterpersecondsquared. Der Turmspringer taucht also s_ frac-v_^a frac-gs_fracFm frac-mgs_F frac-.meterpersecond^ -.meterpersecondsquared .m ins Wasser ein. % boxbox s_ frac-mgs_F .m
Ein Turmspringer .kg springt vom .m Turm ins Wasser wo er eine Bremskraft von .kN erfährt. Wie tief taucht der Springer ins Wasser ein?
Solution:
Da die Bremskraft richtungsmässig dem Weg entgegengesetzt wirkt: negatives Vorzeichen beachten! boxGegeben m kg s_ m F -.kN -.eN % boxGesucht textEauchtiefe/-Strecke s_sim % Wenn der Turmspringer auf dem m Brett startet so hat er wegen s fracv^g in dem Moment wo er anfängt ins Wasser einzutauchen die folge Geschwindigkeit: v_ sqrtgs_ sqrt .meterpersecondsquared m .meterpersecond Das Wasser verändert dann die Geschwindigkeit des Turmspringers mit der Brems-Beschleunigung a fracFm -.meterpersecondsquared. Der Turmspringer taucht also s_ frac-v_^a frac-gs_fracFm frac-mgs_F frac-.meterpersecond^ -.meterpersecondsquared .m ins Wasser ein. % boxbox s_ frac-mgs_F .m
Contained in these collections:
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Newton II by aej
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Turmspringer by TeXercises
Asked Quantity:
Strecke \(s\)
in
Meter \(\rm m\)
Original exercise: Turmspringer by uz ( | | )
Physical Quantity
Strecke \(s\)
Länge eines Weges zwischen zwei Punkten
Unit
Der Meter ist dadurch definiert, dass der Lichtgeschwindigkeit im Vakuum \(c\) ein fester Wert zugewiesen wurde und die Sekunde (\(\rm s\)) ebenfalls über eine Naturkonstante, die Schwingungsfrequenz definiert ist.
Base?
SI?
Metric?
Coherent?
Imperial?