Loch in PET-Flasche
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:
Zeit \(t\) / Geschwindigkeit \(v\) / Strecke \(s\) / Beschleunigung \(a\) / Druck \(p\) / Ortsfaktor \(g\) / Höhe \(h\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise:
\(p_1 + \dfrac12 \varrho v_1^2 + \varrho g h_1 = p_2 + \dfrac12 \varrho v_2^2 + \varrho g h_2 \quad \) \(s = \dfrac{1}{2}at^2+v_0 t \quad \) \(v = \sqrt{2gh} \quad \) \(s = vt \quad \) \(p = \varrho g h \quad \)
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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:
Jemand sticht mit einer Nadel auf hO Höhe ein Loch in eine VO-Wasserflasche die HO hoch mit Wasser gefüllt ist. Wie weit von der Flasche entfernt wird das erste aus dem Loch spritze Wasser auf dem Boden auftreffen?
Solution:
Die für den Schweredruck verantwortliche Wassersäule über dem Loch ist h' H-h H - h hp lang. Wegen des Gesetzes von Bernoulli rho gh fracrho v^ wird das Wasser mit v_x sqrtfracrho gh'rho sqrtgh' sqrtgH-h v ausströmen. Da es bis zum Boden noch hO Höhe sind wird das Wasser im freien Fall dort nach t sqrtfrachg sqrtfrac hncg t auftreffen -- und zwar s_x v_x t sqrtgH-h sqrtfrachg sqrthH-h sqrt h H - h sx approx sxS sxP- weit von der Flasche entfernt. s_x sqrthH-h sxS sxP-
Jemand sticht mit einer Nadel auf hO Höhe ein Loch in eine VO-Wasserflasche die HO hoch mit Wasser gefüllt ist. Wie weit von der Flasche entfernt wird das erste aus dem Loch spritze Wasser auf dem Boden auftreffen?
Solution:
Die für den Schweredruck verantwortliche Wassersäule über dem Loch ist h' H-h H - h hp lang. Wegen des Gesetzes von Bernoulli rho gh fracrho v^ wird das Wasser mit v_x sqrtfracrho gh'rho sqrtgh' sqrtgH-h v ausströmen. Da es bis zum Boden noch hO Höhe sind wird das Wasser im freien Fall dort nach t sqrtfrachg sqrtfrac hncg t auftreffen -- und zwar s_x v_x t sqrtgH-h sqrtfrachg sqrthH-h sqrt h H - h sx approx sxS sxP- weit von der Flasche entfernt. s_x sqrthH-h sxS sxP-
Meta Information
Exercise:
Jemand sticht mit einer Nadel auf hO Höhe ein Loch in eine VO-Wasserflasche die HO hoch mit Wasser gefüllt ist. Wie weit von der Flasche entfernt wird das erste aus dem Loch spritze Wasser auf dem Boden auftreffen?
Solution:
Die für den Schweredruck verantwortliche Wassersäule über dem Loch ist h' H-h H - h hp lang. Wegen des Gesetzes von Bernoulli rho gh fracrho v^ wird das Wasser mit v_x sqrtfracrho gh'rho sqrtgh' sqrtgH-h v ausströmen. Da es bis zum Boden noch hO Höhe sind wird das Wasser im freien Fall dort nach t sqrtfrachg sqrtfrac hncg t auftreffen -- und zwar s_x v_x t sqrtgH-h sqrtfrachg sqrthH-h sqrt h H - h sx approx sxS sxP- weit von der Flasche entfernt. s_x sqrthH-h sxS sxP-
Jemand sticht mit einer Nadel auf hO Höhe ein Loch in eine VO-Wasserflasche die HO hoch mit Wasser gefüllt ist. Wie weit von der Flasche entfernt wird das erste aus dem Loch spritze Wasser auf dem Boden auftreffen?
Solution:
Die für den Schweredruck verantwortliche Wassersäule über dem Loch ist h' H-h H - h hp lang. Wegen des Gesetzes von Bernoulli rho gh fracrho v^ wird das Wasser mit v_x sqrtfracrho gh'rho sqrtgh' sqrtgH-h v ausströmen. Da es bis zum Boden noch hO Höhe sind wird das Wasser im freien Fall dort nach t sqrtfrachg sqrtfrac hncg t auftreffen -- und zwar s_x v_x t sqrtgH-h sqrtfrachg sqrthH-h sqrt h H - h sx approx sxS sxP- weit von der Flasche entfernt. s_x sqrthH-h sxS sxP-
Contained in these collections
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Horizontaler Wurf und Bernoulli by TeXercises
| Title | Matched on |
|---|---|
| Mündungsgeschwindigkeit von Gewehrpatrone | formula |
| Weite eines Balles | formula |
| Entfernung des Scheitelpunktes | formula |
| Abschusswinkel von Eiffelturm | formula |
| Position eines abgeschossenen Körpers | formula |
Similar exercises (13)
| Title | Matched on |
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| Mündungsgeschwindigkeit von Gewehrpatrone | formula |
| Weite eines Balles | formula |
| Entfernung des Scheitelpunktes | formula |
| Abschusswinkel von Eiffelturm | formula |
| Position eines abgeschossenen Körpers | formula |
| Spielzeugpistole | formula |
| Geschwindigkeit für bestimmte Höhe | formula |
| Wilhelm Tell | formula |
| Ballwurf von Dach | formula |
| Höhe und Weite von Wasserstrahl | tags |
| Mit Wasserschlauch Wand treffen | tags |
| Kurzaufgaben | tags |
| Ins Fenster werfen | tags |