Hydrostatik: Auftrieb 24
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
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Video
\(\LaTeX\)
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Exercise:
Ein .sikg-Massestück aus rostfreiem Stahl sikg/m^ wird sim angehoben. Was ist grösser: a die Abnahme des Gewichts wegen der Abnahme der Fallbeschleunigung oder b die Zunahme des scheinbaren Gewicht durch Abnahme des Auftriebs der Luft?
Solution:
% . Juni Lie. In der FoTa findet man wie die Fallbeschleunigung mit der Höhe abnimmt: gh approx +k_hg_A. Für den Auftrieb rechne ich mit der barometrischen Höhenformel und dem Gesetz von BoylMariotte: rho sim p p_ exp-rho_ g_ h_/p_ * &texta Delta F_G mg_-mg_ m k_hg_A .sikg -.eesim^- sim .sim/s^ uulin.simN &textb -Delta F_A rho_-rho_gV rho_left-exp-rho_ gh/p_rightg_m/rho_S downarrow uulinesitextensuremathupmu N &quad .sikg/m^left -expfrac-.sikg/m^ .sim/s^ simsiParight .sim/s^ .sikg/sikg/m^ * Selbst diese grobe Abschätzung zeigt das die Abnahme der Fallbeschleunigung einen deutlich grösseren Einfluss als die Verminderung des Auftriebs hat. newpage
Ein .sikg-Massestück aus rostfreiem Stahl sikg/m^ wird sim angehoben. Was ist grösser: a die Abnahme des Gewichts wegen der Abnahme der Fallbeschleunigung oder b die Zunahme des scheinbaren Gewicht durch Abnahme des Auftriebs der Luft?
Solution:
% . Juni Lie. In der FoTa findet man wie die Fallbeschleunigung mit der Höhe abnimmt: gh approx +k_hg_A. Für den Auftrieb rechne ich mit der barometrischen Höhenformel und dem Gesetz von BoylMariotte: rho sim p p_ exp-rho_ g_ h_/p_ * &texta Delta F_G mg_-mg_ m k_hg_A .sikg -.eesim^- sim .sim/s^ uulin.simN &textb -Delta F_A rho_-rho_gV rho_left-exp-rho_ gh/p_rightg_m/rho_S downarrow uulinesitextensuremathupmu N &quad .sikg/m^left -expfrac-.sikg/m^ .sim/s^ simsiParight .sim/s^ .sikg/sikg/m^ * Selbst diese grobe Abschätzung zeigt das die Abnahme der Fallbeschleunigung einen deutlich grösseren Einfluss als die Verminderung des Auftriebs hat. newpage
Meta Information
Exercise:
Ein .sikg-Massestück aus rostfreiem Stahl sikg/m^ wird sim angehoben. Was ist grösser: a die Abnahme des Gewichts wegen der Abnahme der Fallbeschleunigung oder b die Zunahme des scheinbaren Gewicht durch Abnahme des Auftriebs der Luft?
Solution:
% . Juni Lie. In der FoTa findet man wie die Fallbeschleunigung mit der Höhe abnimmt: gh approx +k_hg_A. Für den Auftrieb rechne ich mit der barometrischen Höhenformel und dem Gesetz von BoylMariotte: rho sim p p_ exp-rho_ g_ h_/p_ * &texta Delta F_G mg_-mg_ m k_hg_A .sikg -.eesim^- sim .sim/s^ uulin.simN &textb -Delta F_A rho_-rho_gV rho_left-exp-rho_ gh/p_rightg_m/rho_S downarrow uulinesitextensuremathupmu N &quad .sikg/m^left -expfrac-.sikg/m^ .sim/s^ simsiParight .sim/s^ .sikg/sikg/m^ * Selbst diese grobe Abschätzung zeigt das die Abnahme der Fallbeschleunigung einen deutlich grösseren Einfluss als die Verminderung des Auftriebs hat. newpage
Ein .sikg-Massestück aus rostfreiem Stahl sikg/m^ wird sim angehoben. Was ist grösser: a die Abnahme des Gewichts wegen der Abnahme der Fallbeschleunigung oder b die Zunahme des scheinbaren Gewicht durch Abnahme des Auftriebs der Luft?
Solution:
% . Juni Lie. In der FoTa findet man wie die Fallbeschleunigung mit der Höhe abnimmt: gh approx +k_hg_A. Für den Auftrieb rechne ich mit der barometrischen Höhenformel und dem Gesetz von BoylMariotte: rho sim p p_ exp-rho_ g_ h_/p_ * &texta Delta F_G mg_-mg_ m k_hg_A .sikg -.eesim^- sim .sim/s^ uulin.simN &textb -Delta F_A rho_-rho_gV rho_left-exp-rho_ gh/p_rightg_m/rho_S downarrow uulinesitextensuremathupmu N &quad .sikg/m^left -expfrac-.sikg/m^ .sim/s^ simsiParight .sim/s^ .sikg/sikg/m^ * Selbst diese grobe Abschätzung zeigt das die Abnahme der Fallbeschleunigung einen deutlich grösseren Einfluss als die Verminderung des Auftriebs hat. newpage
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Hydrostatik: Auftrieb by Lie