Massstab und Glasstab
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:
Ein Glasstab Formelbuchper-modereciprocal.perkelvin und ein Massstab aus Eisen Formelbuchper-modereciprocal.perkelvin sind bei degreeCelsius .mm lang. Welche Länge wird man für den auf degreeCelsius erhitzten Glasstab ablesen falls auch der Massstab diese Temperatur besitzt?
Solution:
pmrec newqtyaG.perkelvin newqtyaE.perkelvin newqtylo.m newqtyDTcelsius % Geg textGlasstab to sscalphaG aG textEisenstab to sscalphaE aE ell_ .mm lo Deltatheta DT % GesLängeell sim % Die Längen der beiden Stäbe bei celsius betragen: solqtylGell_ qty+sscalphaG Deltathetalon*+aGn*DTnm solqtylEell_ qty+sscalphaE Deltathetalon*+aEn*DTnm al sscellG lGf lo qty+aG DT ScilG sscellE lEf lo qty+aE DT ScilE. Der Faktor um den der Eisenmassstab die Länge zu wenig anzeigt beträgt solqtynfrac+sscalphaE Deltathetalon/lEn al n fracell_sscellE nf fracloScilE Tecn. Damit messen wir als Länge des Glassstabes solqtylell_ frac+sscalphaG Deltatheta+sscalphaE Deltathetann*lGnm al ell n sscellG lf Tecn ScilG Tecl- ell lf Tecl- pmfrac
Ein Glasstab Formelbuchper-modereciprocal.perkelvin und ein Massstab aus Eisen Formelbuchper-modereciprocal.perkelvin sind bei degreeCelsius .mm lang. Welche Länge wird man für den auf degreeCelsius erhitzten Glasstab ablesen falls auch der Massstab diese Temperatur besitzt?
Solution:
pmrec newqtyaG.perkelvin newqtyaE.perkelvin newqtylo.m newqtyDTcelsius % Geg textGlasstab to sscalphaG aG textEisenstab to sscalphaE aE ell_ .mm lo Deltatheta DT % GesLängeell sim % Die Längen der beiden Stäbe bei celsius betragen: solqtylGell_ qty+sscalphaG Deltathetalon*+aGn*DTnm solqtylEell_ qty+sscalphaE Deltathetalon*+aEn*DTnm al sscellG lGf lo qty+aG DT ScilG sscellE lEf lo qty+aE DT ScilE. Der Faktor um den der Eisenmassstab die Länge zu wenig anzeigt beträgt solqtynfrac+sscalphaE Deltathetalon/lEn al n fracell_sscellE nf fracloScilE Tecn. Damit messen wir als Länge des Glassstabes solqtylell_ frac+sscalphaG Deltatheta+sscalphaE Deltathetann*lGnm al ell n sscellG lf Tecn ScilG Tecl- ell lf Tecl- pmfrac
Meta Information
Exercise:
Ein Glasstab Formelbuchper-modereciprocal.perkelvin und ein Massstab aus Eisen Formelbuchper-modereciprocal.perkelvin sind bei degreeCelsius .mm lang. Welche Länge wird man für den auf degreeCelsius erhitzten Glasstab ablesen falls auch der Massstab diese Temperatur besitzt?
Solution:
pmrec newqtyaG.perkelvin newqtyaE.perkelvin newqtylo.m newqtyDTcelsius % Geg textGlasstab to sscalphaG aG textEisenstab to sscalphaE aE ell_ .mm lo Deltatheta DT % GesLängeell sim % Die Längen der beiden Stäbe bei celsius betragen: solqtylGell_ qty+sscalphaG Deltathetalon*+aGn*DTnm solqtylEell_ qty+sscalphaE Deltathetalon*+aEn*DTnm al sscellG lGf lo qty+aG DT ScilG sscellE lEf lo qty+aE DT ScilE. Der Faktor um den der Eisenmassstab die Länge zu wenig anzeigt beträgt solqtynfrac+sscalphaE Deltathetalon/lEn al n fracell_sscellE nf fracloScilE Tecn. Damit messen wir als Länge des Glassstabes solqtylell_ frac+sscalphaG Deltatheta+sscalphaE Deltathetann*lGnm al ell n sscellG lf Tecn ScilG Tecl- ell lf Tecl- pmfrac
Ein Glasstab Formelbuchper-modereciprocal.perkelvin und ein Massstab aus Eisen Formelbuchper-modereciprocal.perkelvin sind bei degreeCelsius .mm lang. Welche Länge wird man für den auf degreeCelsius erhitzten Glasstab ablesen falls auch der Massstab diese Temperatur besitzt?
Solution:
pmrec newqtyaG.perkelvin newqtyaE.perkelvin newqtylo.m newqtyDTcelsius % Geg textGlasstab to sscalphaG aG textEisenstab to sscalphaE aE ell_ .mm lo Deltatheta DT % GesLängeell sim % Die Längen der beiden Stäbe bei celsius betragen: solqtylGell_ qty+sscalphaG Deltathetalon*+aGn*DTnm solqtylEell_ qty+sscalphaE Deltathetalon*+aEn*DTnm al sscellG lGf lo qty+aG DT ScilG sscellE lEf lo qty+aE DT ScilE. Der Faktor um den der Eisenmassstab die Länge zu wenig anzeigt beträgt solqtynfrac+sscalphaE Deltathetalon/lEn al n fracell_sscellE nf fracloScilE Tecn. Damit messen wir als Länge des Glassstabes solqtylell_ frac+sscalphaG Deltatheta+sscalphaE Deltathetann*lGnm al ell n sscellG lf Tecn ScilG Tecl- ell lf Tecl- pmfrac
Contained in these collections:
Asked Quantity:
Länge \(\ell\)
in
Meter \(\rm m\)
Physical Quantity
Strecke, Distanz
Ausdehnung eines Objekts
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?