Titan-4-Rakete
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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The following quantities appear in the problem:
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Exercise:
Eine Rakete z.B. erste Stufe der Titan mit Anfangsmasse t stösst mit konstanter Rate fracsitonnepersecond und konstanter Geschwindigkeit Gase aus. Der Schub beträgt .MN. abcliste abc DuSieBerechneBerechnen Sie die Geschwindigkeit der ausgestossenen Gase. abc DuSieBerechneBerechnen Sie die Geschwindigkeit der Rakete als Funktion der Zeit. abcliste
Solution:
* &texta F_S fracDelta pDelta t v_G fracDelta mDelta t Rightarrow v_G fracF_S Delta tDelta m frac.eeesiN siseeesikg uuline.sikm/s &textb dmv_G md v Rightarrow v_G fracdmm d v Rightarrow v v_G ln fracm_m quad +v_ &quad vt v_G ln fracm_m_-t Delta m/Delta t rightarrow infty quad textfür quad t fracm_Delta m/Delta t fracsit sissit sis quad ... * Von der Aufgabenstellung her könnte man vermuten dass t die Masse des Brennstoffs ist welche innert s vollständig ausgestossen wird. Die restlichen t scheinen die Raketenhülle ev. mit Nutzlast zu sein. Die Endgeschwindigkeit wird also kaum unlich gross werden.
Eine Rakete z.B. erste Stufe der Titan mit Anfangsmasse t stösst mit konstanter Rate fracsitonnepersecond und konstanter Geschwindigkeit Gase aus. Der Schub beträgt .MN. abcliste abc DuSieBerechneBerechnen Sie die Geschwindigkeit der ausgestossenen Gase. abc DuSieBerechneBerechnen Sie die Geschwindigkeit der Rakete als Funktion der Zeit. abcliste
Solution:
* &texta F_S fracDelta pDelta t v_G fracDelta mDelta t Rightarrow v_G fracF_S Delta tDelta m frac.eeesiN siseeesikg uuline.sikm/s &textb dmv_G md v Rightarrow v_G fracdmm d v Rightarrow v v_G ln fracm_m quad +v_ &quad vt v_G ln fracm_m_-t Delta m/Delta t rightarrow infty quad textfür quad t fracm_Delta m/Delta t fracsit sissit sis quad ... * Von der Aufgabenstellung her könnte man vermuten dass t die Masse des Brennstoffs ist welche innert s vollständig ausgestossen wird. Die restlichen t scheinen die Raketenhülle ev. mit Nutzlast zu sein. Die Endgeschwindigkeit wird also kaum unlich gross werden.
Meta Information
Exercise:
Eine Rakete z.B. erste Stufe der Titan mit Anfangsmasse t stösst mit konstanter Rate fracsitonnepersecond und konstanter Geschwindigkeit Gase aus. Der Schub beträgt .MN. abcliste abc DuSieBerechneBerechnen Sie die Geschwindigkeit der ausgestossenen Gase. abc DuSieBerechneBerechnen Sie die Geschwindigkeit der Rakete als Funktion der Zeit. abcliste
Solution:
* &texta F_S fracDelta pDelta t v_G fracDelta mDelta t Rightarrow v_G fracF_S Delta tDelta m frac.eeesiN siseeesikg uuline.sikm/s &textb dmv_G md v Rightarrow v_G fracdmm d v Rightarrow v v_G ln fracm_m quad +v_ &quad vt v_G ln fracm_m_-t Delta m/Delta t rightarrow infty quad textfür quad t fracm_Delta m/Delta t fracsit sissit sis quad ... * Von der Aufgabenstellung her könnte man vermuten dass t die Masse des Brennstoffs ist welche innert s vollständig ausgestossen wird. Die restlichen t scheinen die Raketenhülle ev. mit Nutzlast zu sein. Die Endgeschwindigkeit wird also kaum unlich gross werden.
Eine Rakete z.B. erste Stufe der Titan mit Anfangsmasse t stösst mit konstanter Rate fracsitonnepersecond und konstanter Geschwindigkeit Gase aus. Der Schub beträgt .MN. abcliste abc DuSieBerechneBerechnen Sie die Geschwindigkeit der ausgestossenen Gase. abc DuSieBerechneBerechnen Sie die Geschwindigkeit der Rakete als Funktion der Zeit. abcliste
Solution:
* &texta F_S fracDelta pDelta t v_G fracDelta mDelta t Rightarrow v_G fracF_S Delta tDelta m frac.eeesiN siseeesikg uuline.sikm/s &textb dmv_G md v Rightarrow v_G fracdmm d v Rightarrow v v_G ln fracm_m quad +v_ &quad vt v_G ln fracm_m_-t Delta m/Delta t rightarrow infty quad textfür quad t fracm_Delta m/Delta t fracsit sissit sis quad ... * Von der Aufgabenstellung her könnte man vermuten dass t die Masse des Brennstoffs ist welche innert s vollständig ausgestossen wird. Die restlichen t scheinen die Raketenhülle ev. mit Nutzlast zu sein. Die Endgeschwindigkeit wird also kaum unlich gross werden.
Contained in these collections:
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Impuls: Impuls by Lie
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Raketengleichung by TeXercises