Joulesches Experiment
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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Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
James Joule hat in seinem Experiment gezeigt dass durch mechanische Arbeit die innere Energie einer Flüssigkeit erhöht werden kann. center tikzpicturescale. draw fillgray rectangle -.; draw very thick -- ; draw line widthpt drawgray!fillblue! .. rectangle .; draw thickfillgray!drawnone . rectangle .; draw thickfillgray!drawnone .. rectangle .; draw line width.mm .. -- ..; draw fillblack .. circle mm; draw fillblack .. circle mm; draw line width.mm .. -- .. -- ..; draw fillblack .. -- .. -- .. -- ..; draw right colorgray!left colorgray!drawgray . rectangle ..; draw fillgray!line width.pt +..+. rectangle .-..-.; draw left colorgray!right colorgray!drawgray . rectangle ..; draw fillgray!line width.pt -..+. rectangle .+..-.; tikzpicture center Die zwei Schaufeln werden bis zu einer Winkelgeschwindigkeit von s^- beschleunigt. Dann wird gleichzeitig der Behälter mit Wasser gefüllt und die Schaufeln nicht mehr weiter angetrieben Füllzeit des Wassers kann vernachlässigt werden..mm Bestimmen Sie die Temperaturänderung wenn die Wassermenge .kg und das Schaufelrad eine Breite centim eine Dicke centim und eine Masse von .kg hat.
Solution:
Die Rotationsenergie welche in den Schaufeln steckt ist: E_rot fracJomega^. Für das Trägheitsmoment J gilt: J fracm_sb^+d^ approx .kgm^. Dies ist mit der Änderung der inneren Energie gleichzusetzen d.h. Delta U c_pm_wDelta T equiv frac J omega^ und somit ist: Delta T fracJomega^c_p m_w approx . ^-K.
James Joule hat in seinem Experiment gezeigt dass durch mechanische Arbeit die innere Energie einer Flüssigkeit erhöht werden kann. center tikzpicturescale. draw fillgray rectangle -.; draw very thick -- ; draw line widthpt drawgray!fillblue! .. rectangle .; draw thickfillgray!drawnone . rectangle .; draw thickfillgray!drawnone .. rectangle .; draw line width.mm .. -- ..; draw fillblack .. circle mm; draw fillblack .. circle mm; draw line width.mm .. -- .. -- ..; draw fillblack .. -- .. -- .. -- ..; draw right colorgray!left colorgray!drawgray . rectangle ..; draw fillgray!line width.pt +..+. rectangle .-..-.; draw left colorgray!right colorgray!drawgray . rectangle ..; draw fillgray!line width.pt -..+. rectangle .+..-.; tikzpicture center Die zwei Schaufeln werden bis zu einer Winkelgeschwindigkeit von s^- beschleunigt. Dann wird gleichzeitig der Behälter mit Wasser gefüllt und die Schaufeln nicht mehr weiter angetrieben Füllzeit des Wassers kann vernachlässigt werden..mm Bestimmen Sie die Temperaturänderung wenn die Wassermenge .kg und das Schaufelrad eine Breite centim eine Dicke centim und eine Masse von .kg hat.
Solution:
Die Rotationsenergie welche in den Schaufeln steckt ist: E_rot fracJomega^. Für das Trägheitsmoment J gilt: J fracm_sb^+d^ approx .kgm^. Dies ist mit der Änderung der inneren Energie gleichzusetzen d.h. Delta U c_pm_wDelta T equiv frac J omega^ und somit ist: Delta T fracJomega^c_p m_w approx . ^-K.
Meta Information
Exercise:
James Joule hat in seinem Experiment gezeigt dass durch mechanische Arbeit die innere Energie einer Flüssigkeit erhöht werden kann. center tikzpicturescale. draw fillgray rectangle -.; draw very thick -- ; draw line widthpt drawgray!fillblue! .. rectangle .; draw thickfillgray!drawnone . rectangle .; draw thickfillgray!drawnone .. rectangle .; draw line width.mm .. -- ..; draw fillblack .. circle mm; draw fillblack .. circle mm; draw line width.mm .. -- .. -- ..; draw fillblack .. -- .. -- .. -- ..; draw right colorgray!left colorgray!drawgray . rectangle ..; draw fillgray!line width.pt +..+. rectangle .-..-.; draw left colorgray!right colorgray!drawgray . rectangle ..; draw fillgray!line width.pt -..+. rectangle .+..-.; tikzpicture center Die zwei Schaufeln werden bis zu einer Winkelgeschwindigkeit von s^- beschleunigt. Dann wird gleichzeitig der Behälter mit Wasser gefüllt und die Schaufeln nicht mehr weiter angetrieben Füllzeit des Wassers kann vernachlässigt werden..mm Bestimmen Sie die Temperaturänderung wenn die Wassermenge .kg und das Schaufelrad eine Breite centim eine Dicke centim und eine Masse von .kg hat.
Solution:
Die Rotationsenergie welche in den Schaufeln steckt ist: E_rot fracJomega^. Für das Trägheitsmoment J gilt: J fracm_sb^+d^ approx .kgm^. Dies ist mit der Änderung der inneren Energie gleichzusetzen d.h. Delta U c_pm_wDelta T equiv frac J omega^ und somit ist: Delta T fracJomega^c_p m_w approx . ^-K.
James Joule hat in seinem Experiment gezeigt dass durch mechanische Arbeit die innere Energie einer Flüssigkeit erhöht werden kann. center tikzpicturescale. draw fillgray rectangle -.; draw very thick -- ; draw line widthpt drawgray!fillblue! .. rectangle .; draw thickfillgray!drawnone . rectangle .; draw thickfillgray!drawnone .. rectangle .; draw line width.mm .. -- ..; draw fillblack .. circle mm; draw fillblack .. circle mm; draw line width.mm .. -- .. -- ..; draw fillblack .. -- .. -- .. -- ..; draw right colorgray!left colorgray!drawgray . rectangle ..; draw fillgray!line width.pt +..+. rectangle .-..-.; draw left colorgray!right colorgray!drawgray . rectangle ..; draw fillgray!line width.pt -..+. rectangle .+..-.; tikzpicture center Die zwei Schaufeln werden bis zu einer Winkelgeschwindigkeit von s^- beschleunigt. Dann wird gleichzeitig der Behälter mit Wasser gefüllt und die Schaufeln nicht mehr weiter angetrieben Füllzeit des Wassers kann vernachlässigt werden..mm Bestimmen Sie die Temperaturänderung wenn die Wassermenge .kg und das Schaufelrad eine Breite centim eine Dicke centim und eine Masse von .kg hat.
Solution:
Die Rotationsenergie welche in den Schaufeln steckt ist: E_rot fracJomega^. Für das Trägheitsmoment J gilt: J fracm_sb^+d^ approx .kgm^. Dies ist mit der Änderung der inneren Energie gleichzusetzen d.h. Delta U c_pm_wDelta T equiv frac J omega^ und somit ist: Delta T fracJomega^c_p m_w approx . ^-K.
Contained in these collections
| Title | Creator | Matched on |
|---|---|---|
| Rutschender Eiswürfel | rb | tags |
| Philosophische Frage | cm | tags |
| $C_p$ vs. $C_V$ | cm | tags |
| Multiple Choice | cm | tags |
| Tee trinken | cm | tags |

