Fahrradpumpe
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:
The following formulas must be used to solve the exercise:
No explanation / solution video to this exercise has yet been created.
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
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:
Gegeben sei eine Fahrradpumpe mit cm Länge; für sie gelte pV.J. Es kann ausserdem davon ausgegangen werden dass sich die Luft beim Pumpen nicht erwärmt. Falls nun jemand währ s mit fünfzig Pumpbewegungen einen Reifen aufpumpt erbringt er eine Leistung von W. Berechne wie weit er den ganz herausgezogenen Pumpkolben jeweils in die Pumpe hineindrückt.
Solution:
Währ einer Pumpbewegung wird eine Arbeit von W fracPtN fracW s .eJ verrichtet. Setzt man c:pV so gilt für die Arbeit währ einer Pumpbewegung: W _s_^s_ pVmboxdV _s_^s_ fracp_V_V Amboxds _s_^s_ fraccA s Amboxds c _s_^s_ fracsmboxds c leftlnsright_s_^s_ c leftlns_-lns_right Diese Gleichung ist aufzulösen nach der Position des hineingedrückten Kolbens also s_: clns_-clns_ W lns_-lns_ fracWc fracs_s_ texte^fracWc s_ fracs_texte^fracWc frac.mtexte^frac.eJ.J .m Delta s .m - .m .m .cm Der Kolben wird also jeweils knapp cm in die Pumpe hineingedrückt.
Gegeben sei eine Fahrradpumpe mit cm Länge; für sie gelte pV.J. Es kann ausserdem davon ausgegangen werden dass sich die Luft beim Pumpen nicht erwärmt. Falls nun jemand währ s mit fünfzig Pumpbewegungen einen Reifen aufpumpt erbringt er eine Leistung von W. Berechne wie weit er den ganz herausgezogenen Pumpkolben jeweils in die Pumpe hineindrückt.
Solution:
Währ einer Pumpbewegung wird eine Arbeit von W fracPtN fracW s .eJ verrichtet. Setzt man c:pV so gilt für die Arbeit währ einer Pumpbewegung: W _s_^s_ pVmboxdV _s_^s_ fracp_V_V Amboxds _s_^s_ fraccA s Amboxds c _s_^s_ fracsmboxds c leftlnsright_s_^s_ c leftlns_-lns_right Diese Gleichung ist aufzulösen nach der Position des hineingedrückten Kolbens also s_: clns_-clns_ W lns_-lns_ fracWc fracs_s_ texte^fracWc s_ fracs_texte^fracWc frac.mtexte^frac.eJ.J .m Delta s .m - .m .m .cm Der Kolben wird also jeweils knapp cm in die Pumpe hineingedrückt.
Meta Information
Exercise:
Gegeben sei eine Fahrradpumpe mit cm Länge; für sie gelte pV.J. Es kann ausserdem davon ausgegangen werden dass sich die Luft beim Pumpen nicht erwärmt. Falls nun jemand währ s mit fünfzig Pumpbewegungen einen Reifen aufpumpt erbringt er eine Leistung von W. Berechne wie weit er den ganz herausgezogenen Pumpkolben jeweils in die Pumpe hineindrückt.
Solution:
Währ einer Pumpbewegung wird eine Arbeit von W fracPtN fracW s .eJ verrichtet. Setzt man c:pV so gilt für die Arbeit währ einer Pumpbewegung: W _s_^s_ pVmboxdV _s_^s_ fracp_V_V Amboxds _s_^s_ fraccA s Amboxds c _s_^s_ fracsmboxds c leftlnsright_s_^s_ c leftlns_-lns_right Diese Gleichung ist aufzulösen nach der Position des hineingedrückten Kolbens also s_: clns_-clns_ W lns_-lns_ fracWc fracs_s_ texte^fracWc s_ fracs_texte^fracWc frac.mtexte^frac.eJ.J .m Delta s .m - .m .m .cm Der Kolben wird also jeweils knapp cm in die Pumpe hineingedrückt.
Gegeben sei eine Fahrradpumpe mit cm Länge; für sie gelte pV.J. Es kann ausserdem davon ausgegangen werden dass sich die Luft beim Pumpen nicht erwärmt. Falls nun jemand währ s mit fünfzig Pumpbewegungen einen Reifen aufpumpt erbringt er eine Leistung von W. Berechne wie weit er den ganz herausgezogenen Pumpkolben jeweils in die Pumpe hineindrückt.
Solution:
Währ einer Pumpbewegung wird eine Arbeit von W fracPtN fracW s .eJ verrichtet. Setzt man c:pV so gilt für die Arbeit währ einer Pumpbewegung: W _s_^s_ pVmboxdV _s_^s_ fracp_V_V Amboxds _s_^s_ fraccA s Amboxds c _s_^s_ fracsmboxds c leftlnsright_s_^s_ c leftlns_-lns_right Diese Gleichung ist aufzulösen nach der Position des hineingedrückten Kolbens also s_: clns_-clns_ W lns_-lns_ fracWc fracs_s_ texte^fracWc s_ fracs_texte^fracWc frac.mtexte^frac.eJ.J .m Delta s .m - .m .m .cm Der Kolben wird also jeweils knapp cm in die Pumpe hineingedrückt.
Contained in these collections:
-
Fahrradpumpe by TeXercises