Skifahrer über Kuppe
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:
Ein Skifahrer starte aus der Ruhe und fahre dann über eine Kuppe mit dem Radius von .m. center tikzpicturescale. % Hang draw very thick arc ::cm arc ::cm -- ++ -.; % Radius draw fillblack -.-. circle mm; draw dashed arc ::cm; draw dashed arc :-:cm; %draw dashed -.-. circle cm; draw - -.-. --node left r ++ ..; % Skifahrer drawbluevery thick -. -- ++ .*-.*.; drawbluevery thick -+.*.-.*. -- ++ .*..* -- ++ -.. -- ++ .. ++ .. circle .mm; drawbluevery thick -+.*+.*.-.+.*..-.*.+.*+.+.*. -- ++ -.-.; tikzpicture center Bestimmen Sie die maximale Geschwindigkeit bei der die Skier auch oben auf der Kuppe noch mit dem Schnee in Kontakt bleiben.
Solution:
Oben auf der Kuppe wirkt nur noch die Schwerkraft und keine Normalkraft mehr da die Geschwindigkeit maximal ist. Damit erhalten wir: F_res ma_z myRarrow mg mfracv^r myRarrow v sqrtgr apx .
Ein Skifahrer starte aus der Ruhe und fahre dann über eine Kuppe mit dem Radius von .m. center tikzpicturescale. % Hang draw very thick arc ::cm arc ::cm -- ++ -.; % Radius draw fillblack -.-. circle mm; draw dashed arc ::cm; draw dashed arc :-:cm; %draw dashed -.-. circle cm; draw - -.-. --node left r ++ ..; % Skifahrer drawbluevery thick -. -- ++ .*-.*.; drawbluevery thick -+.*.-.*. -- ++ .*..* -- ++ -.. -- ++ .. ++ .. circle .mm; drawbluevery thick -+.*+.*.-.+.*..-.*.+.*+.+.*. -- ++ -.-.; tikzpicture center Bestimmen Sie die maximale Geschwindigkeit bei der die Skier auch oben auf der Kuppe noch mit dem Schnee in Kontakt bleiben.
Solution:
Oben auf der Kuppe wirkt nur noch die Schwerkraft und keine Normalkraft mehr da die Geschwindigkeit maximal ist. Damit erhalten wir: F_res ma_z myRarrow mg mfracv^r myRarrow v sqrtgr apx .
Meta Information
Exercise:
Ein Skifahrer starte aus der Ruhe und fahre dann über eine Kuppe mit dem Radius von .m. center tikzpicturescale. % Hang draw very thick arc ::cm arc ::cm -- ++ -.; % Radius draw fillblack -.-. circle mm; draw dashed arc ::cm; draw dashed arc :-:cm; %draw dashed -.-. circle cm; draw - -.-. --node left r ++ ..; % Skifahrer drawbluevery thick -. -- ++ .*-.*.; drawbluevery thick -+.*.-.*. -- ++ .*..* -- ++ -.. -- ++ .. ++ .. circle .mm; drawbluevery thick -+.*+.*.-.+.*..-.*.+.*+.+.*. -- ++ -.-.; tikzpicture center Bestimmen Sie die maximale Geschwindigkeit bei der die Skier auch oben auf der Kuppe noch mit dem Schnee in Kontakt bleiben.
Solution:
Oben auf der Kuppe wirkt nur noch die Schwerkraft und keine Normalkraft mehr da die Geschwindigkeit maximal ist. Damit erhalten wir: F_res ma_z myRarrow mg mfracv^r myRarrow v sqrtgr apx .
Ein Skifahrer starte aus der Ruhe und fahre dann über eine Kuppe mit dem Radius von .m. center tikzpicturescale. % Hang draw very thick arc ::cm arc ::cm -- ++ -.; % Radius draw fillblack -.-. circle mm; draw dashed arc ::cm; draw dashed arc :-:cm; %draw dashed -.-. circle cm; draw - -.-. --node left r ++ ..; % Skifahrer drawbluevery thick -. -- ++ .*-.*.; drawbluevery thick -+.*.-.*. -- ++ .*..* -- ++ -.. -- ++ .. ++ .. circle .mm; drawbluevery thick -+.*+.*.-.+.*..-.*.+.*+.+.*. -- ++ -.-.; tikzpicture center Bestimmen Sie die maximale Geschwindigkeit bei der die Skier auch oben auf der Kuppe noch mit dem Schnee in Kontakt bleiben.
Solution:
Oben auf der Kuppe wirkt nur noch die Schwerkraft und keine Normalkraft mehr da die Geschwindigkeit maximal ist. Damit erhalten wir: F_res ma_z myRarrow mg mfracv^r myRarrow v sqrtgr apx .
Contained in these collections
| Title | Creator | Matched on |
|---|---|---|
| Kugel an Schnur | cm | tags |
| Medical Multiple Choice | cm | tags |
| Kugel an Schnur und rotierende Achse | cm | tags |
| Kegelpendel | cm | tags |
| Multiple Choice - Kreisbewegung I | cm | tags |
Similar exercises (31)
| Title | Creator | Matched on |
|---|---|---|
| Kugel an Schnur | cm | tags |
| Medical Multiple Choice | cm | tags |
| Kugel an Schnur und rotierende Achse | cm | tags |
| Kegelpendel | cm | tags |
| Multiple Choice - Kreisbewegung I | cm | tags |
| Propeller | cm | tags |
| Im Kreis fahren | cm | tags |
| Medical Multiple Choice | cm | tags |
| Multiple Choice - Kreisbewegung | cm | tags |
| Skifahrerin | cm | tags |
| Rotierender Eimer | cm | tags |
| Kugel an Schnur und rotierende Achse | rb | tags |
| Talerschwingen | cm | tags |
| Kette am Rückspiegel | cm | tags |
| Entfernung Erde-Mond | cm | tags |
| Multiple Choice - Kreisbewegung | rb | tags |
| Zylinderkarussell | cm | tags |
| Fliehkraftregler (2) | rb | tags |
| Milchkrug | cm | tags |
| Fliehkraftregler | cm | tags |
| Milchkrug | rb | tags |
| Mond um die Erde | cm | tags |
| Kurvenschneiden | cm | tags |
| Looping | cm | tags |
| Schein oder Sein | cm | tags |
| Wäscheschleuder | cm | tags |
| Wagen im Einkaufszentrum | cm | tags |
| Modellflugzeug | cm | tags |
| Rotierende Feder | cm | tags |
| Zentripetalkraft mit Geschwindigkeit | uz | tags |
| Geschwindigkeit auf Kreisbahn | pw | tags |

