Ted & Lilly beim Eislaufen
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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Exercise:
Ted und Lilly sind am Eislaufen. Als Ted mal nicht aufpasst fährt er mit einer Geschwindigkeit von .fracms in Lilly welche mit einer Geschwindigkeit von -.fracms gerade auf ihn zufährt. Damit nicht beide umfallen halten sie sich gegenseitig und fahren mit einer gemeinsamen Geschwindigkeit von .fracms weiter. enumerate item Berechnen Sie die Masse von Lilly wenn Ted kg schwer ist. item Wie lange dauerte der Zusammenstoss wenn Ted eine Kraft von -N erfuhr? enumerate
Solution:
enumerate item p_v p_n iff m_T v_T + m_L v_L m_T v_TL + m_L v_TL Rightarrow m_L v_L - v_TL m_T v_TL - v_T Rightarrow m_L fracm_T v_TL - v_Tv_L - v_TL frackg .fracms - .fracms-.fracms - . fracms kg item Delta p F Delta t Rightarrow Delta t fracDelta pF fracp_nL - p_vLF fracm_T v_TL - v_TF frackg .fracms - .fracms-N .s Natürlich könnte man auch folgermassen auf die Lösung kommen: t fracDelta va fracDelta vfracFm fracm Delta vF fracDelta pF enumerate
Ted und Lilly sind am Eislaufen. Als Ted mal nicht aufpasst fährt er mit einer Geschwindigkeit von .fracms in Lilly welche mit einer Geschwindigkeit von -.fracms gerade auf ihn zufährt. Damit nicht beide umfallen halten sie sich gegenseitig und fahren mit einer gemeinsamen Geschwindigkeit von .fracms weiter. enumerate item Berechnen Sie die Masse von Lilly wenn Ted kg schwer ist. item Wie lange dauerte der Zusammenstoss wenn Ted eine Kraft von -N erfuhr? enumerate
Solution:
enumerate item p_v p_n iff m_T v_T + m_L v_L m_T v_TL + m_L v_TL Rightarrow m_L v_L - v_TL m_T v_TL - v_T Rightarrow m_L fracm_T v_TL - v_Tv_L - v_TL frackg .fracms - .fracms-.fracms - . fracms kg item Delta p F Delta t Rightarrow Delta t fracDelta pF fracp_nL - p_vLF fracm_T v_TL - v_TF frackg .fracms - .fracms-N .s Natürlich könnte man auch folgermassen auf die Lösung kommen: t fracDelta va fracDelta vfracFm fracm Delta vF fracDelta pF enumerate
Meta Information
Exercise:
Ted und Lilly sind am Eislaufen. Als Ted mal nicht aufpasst fährt er mit einer Geschwindigkeit von .fracms in Lilly welche mit einer Geschwindigkeit von -.fracms gerade auf ihn zufährt. Damit nicht beide umfallen halten sie sich gegenseitig und fahren mit einer gemeinsamen Geschwindigkeit von .fracms weiter. enumerate item Berechnen Sie die Masse von Lilly wenn Ted kg schwer ist. item Wie lange dauerte der Zusammenstoss wenn Ted eine Kraft von -N erfuhr? enumerate
Solution:
enumerate item p_v p_n iff m_T v_T + m_L v_L m_T v_TL + m_L v_TL Rightarrow m_L v_L - v_TL m_T v_TL - v_T Rightarrow m_L fracm_T v_TL - v_Tv_L - v_TL frackg .fracms - .fracms-.fracms - . fracms kg item Delta p F Delta t Rightarrow Delta t fracDelta pF fracp_nL - p_vLF fracm_T v_TL - v_TF frackg .fracms - .fracms-N .s Natürlich könnte man auch folgermassen auf die Lösung kommen: t fracDelta va fracDelta vfracFm fracm Delta vF fracDelta pF enumerate
Ted und Lilly sind am Eislaufen. Als Ted mal nicht aufpasst fährt er mit einer Geschwindigkeit von .fracms in Lilly welche mit einer Geschwindigkeit von -.fracms gerade auf ihn zufährt. Damit nicht beide umfallen halten sie sich gegenseitig und fahren mit einer gemeinsamen Geschwindigkeit von .fracms weiter. enumerate item Berechnen Sie die Masse von Lilly wenn Ted kg schwer ist. item Wie lange dauerte der Zusammenstoss wenn Ted eine Kraft von -N erfuhr? enumerate
Solution:
enumerate item p_v p_n iff m_T v_T + m_L v_L m_T v_TL + m_L v_TL Rightarrow m_L v_L - v_TL m_T v_TL - v_T Rightarrow m_L fracm_T v_TL - v_Tv_L - v_TL frackg .fracms - .fracms-.fracms - . fracms kg item Delta p F Delta t Rightarrow Delta t fracDelta pF fracp_nL - p_vLF fracm_T v_TL - v_TF frackg .fracms - .fracms-N .s Natürlich könnte man auch folgermassen auf die Lösung kommen: t fracDelta va fracDelta vfracFm fracm Delta vF fracDelta pF enumerate
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Aufgaben Kap. B3 by cm