Roller Coaster
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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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:
Ein Ausschnitt eines Roller Coaster sieht wie in der Abb. aus. Welche Anfangsgeschwindigkeit muss der Wagen bei A h_A h_B haben um B h_B m mindestens zu erreichen falls die Weglänge sm und eine konstante Reibungskraft F_R mu mg mit mu . wirkt? center includegraphicswidth.textwidth#image_path:b-png# center
Solution:
Die Energiebilanz lautet: eqnarray* E_pot^B - E_kin^A + E_pot^A & W_Reib. mgh_B - fracmv_^-mgh_A & -mu mgs gh_B- v_^-gh_A & -mu gs gh_B - v_^- gh_B & -mu gs v_ & sqrtmu gs - gh_B sqrtgmu s-h_B notin mathbbR. eqnarray* Da mu s h_B folgt dass es keine Anfangsgeschwindigkeit braucht am Punkt A.
Ein Ausschnitt eines Roller Coaster sieht wie in der Abb. aus. Welche Anfangsgeschwindigkeit muss der Wagen bei A h_A h_B haben um B h_B m mindestens zu erreichen falls die Weglänge sm und eine konstante Reibungskraft F_R mu mg mit mu . wirkt? center includegraphicswidth.textwidth#image_path:b-png# center
Solution:
Die Energiebilanz lautet: eqnarray* E_pot^B - E_kin^A + E_pot^A & W_Reib. mgh_B - fracmv_^-mgh_A & -mu mgs gh_B- v_^-gh_A & -mu gs gh_B - v_^- gh_B & -mu gs v_ & sqrtmu gs - gh_B sqrtgmu s-h_B notin mathbbR. eqnarray* Da mu s h_B folgt dass es keine Anfangsgeschwindigkeit braucht am Punkt A.
Meta Information
Exercise:
Ein Ausschnitt eines Roller Coaster sieht wie in der Abb. aus. Welche Anfangsgeschwindigkeit muss der Wagen bei A h_A h_B haben um B h_B m mindestens zu erreichen falls die Weglänge sm und eine konstante Reibungskraft F_R mu mg mit mu . wirkt? center includegraphicswidth.textwidth#image_path:b-png# center
Solution:
Die Energiebilanz lautet: eqnarray* E_pot^B - E_kin^A + E_pot^A & W_Reib. mgh_B - fracmv_^-mgh_A & -mu mgs gh_B- v_^-gh_A & -mu gs gh_B - v_^- gh_B & -mu gs v_ & sqrtmu gs - gh_B sqrtgmu s-h_B notin mathbbR. eqnarray* Da mu s h_B folgt dass es keine Anfangsgeschwindigkeit braucht am Punkt A.
Ein Ausschnitt eines Roller Coaster sieht wie in der Abb. aus. Welche Anfangsgeschwindigkeit muss der Wagen bei A h_A h_B haben um B h_B m mindestens zu erreichen falls die Weglänge sm und eine konstante Reibungskraft F_R mu mg mit mu . wirkt? center includegraphicswidth.textwidth#image_path:b-png# center
Solution:
Die Energiebilanz lautet: eqnarray* E_pot^B - E_kin^A + E_pot^A & W_Reib. mgh_B - fracmv_^-mgh_A & -mu mgs gh_B- v_^-gh_A & -mu gs gh_B - v_^- gh_B & -mu gs v_ & sqrtmu gs - gh_B sqrtgmu s-h_B notin mathbbR. eqnarray* Da mu s h_B folgt dass es keine Anfangsgeschwindigkeit braucht am Punkt A.
Contained in these collections
| Title | Creator | Matched on |
|---|---|---|
| Feder auf schiefer Ebene I | cm | tags |
| Pendelgeschwindigkeit (leicht vereinfacht) | rb | tags |
| Kugel auf schiefer Ebene (erweitert) | rb | tags |
| Pendelgeschwindigkeit | rb | tags |
| Runter rollen | cm | tags |
Similar exercises (31)
| Title | Creator | Matched on |
|---|---|---|
| Feder auf schiefer Ebene I | cm | tags |
| Pendelgeschwindigkeit (leicht vereinfacht) | rb | tags |
| Kugel auf schiefer Ebene (erweitert) | rb | tags |
| Pendelgeschwindigkeit | rb | tags |
| Runter rollen | cm | tags |
| Rollende Kugel | cm | tags |
| Energieüberlegungen beim Golfspiel | cm | tags |
| Kugel auf schiefer Ebene | rb | tags |
| Pendelgeschwindigkeit | cm | tags |
| Fadenpendel | cm | tags |
| Rollende Kugel | cm | tags |
| Boccia | cm | tags |
| Unelastisches Pendel | cm | tags |
| Eingedrückte Feder | cm | tags |
| Schmerzhafte Schlittenfahrt | cm | tags |
| Vereinfachter Neutronenzerfall | cm | tags |
| Geschoss durchschlägt Dose 2 | rb | tags |
| Gummibälle | cm | tags |
| Schuss in den Block | cm | tags |
| Gerissenes Pendel | cm | tags |
| Geschoss durchschlägt Dose | rb | tags |
| Kugel um Kugel | cm | tags |
| Ballistisches Pendel I | cm | tags |
| Skifahrer | cm | tags |
| Einfaches zur Arbeit | cm | tags |
| Einfaches zur Arbeit II | cm | tags |
| Multiple Choice | cm | tags |
| Energieerhaltung vs. Newton II | cm | tags |
| Multiple Choice | cm | tags |
| Umgekehrtes Billiard | cm | tags |
| Ski-Fahren | cm | tags |

