Kiste über Boden ziehen
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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The following formulas must be used to solve the exercise:
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Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Eine Kiste mit kg Masse wird mit einer Kraft von N die unter einem Winkel von degr zur Horizontalen schräg nach oben gerichtet ist gezogen vgl. Abb.. Bestimme die Beschleunigung der Kiste. Der Gleitreibungskoeffizient ist dabei mu_tinysubG.. Die Kräfteskizze darf direkt in die Abbildung gezeichnet werden! text figureH centering tikzpicturescale fill patternnorth east lines rectangle-.; draw thick --; draw thickfillgray! rectangle; draw very thick-latex rotate around: --nodeabovevecF; draw . arc ::.; draw rotate around: node at . alpha; draw dashed --; %draw very thick-latexcolorGreen ---. nodeabove vecF_mathrmR; %draw very thick-latexcolorRed ---. nodebelow vfg; %draw very thick-latexcolorblue .--.. nodeabove vecF_mathrmN; %Koordinatensystem %scopeshift-.. %draw -latex -- noderightx; %draw -latex -- nodeabovey; %scope tikzpicture figure
Solution:
Geg.: FsiN alphadegr msikg sscmuG. Ges.: a_x figureH centering tikzpicturescale. fill patternnorth east lines rectangle-.; draw thick --; draw thickfillgray! rectangle; draw very thick-latex rotate around: --nodeabovevecF; draw thick -latex --nodebelow vecF_x . ; draw thick -latex .--noderight vecF_y . ; draw . arc ::.; draw rotate around: node at . tiny alpha; draw very thick-latexcolorGreen ---. nodeabove vecF_mathrmR; draw very thick-latexcolorRed ---. nodebelow vfg; draw very thick-latexcolorblue .--.. nodeabove vecF_mathrmN; %Koordinatensystem scopeshift-.. draw -latex -- noderightx; draw -latex -- nodeabovey; scope tikzpicture figure y-Richtung: fresyRa F_mathrmN+F_mathrmysscFgRa F_mathrmNsscFg-F_mathrmy Damit erhalten wir für F_N: F_mathrmNmg-FsinalphasiN Beachte den Einfluss der y-Komponente von F auf F_mathrmN.pt x-Richtung: fresxma_xF_x-F_mathrmR Damit erhalten wir: ma_xFcosalpha-sscmuG F_mathrmNRa a_xfracFcosalpha-sscmuG F_mathrmNmres.m/s^
Eine Kiste mit kg Masse wird mit einer Kraft von N die unter einem Winkel von degr zur Horizontalen schräg nach oben gerichtet ist gezogen vgl. Abb.. Bestimme die Beschleunigung der Kiste. Der Gleitreibungskoeffizient ist dabei mu_tinysubG.. Die Kräfteskizze darf direkt in die Abbildung gezeichnet werden! text figureH centering tikzpicturescale fill patternnorth east lines rectangle-.; draw thick --; draw thickfillgray! rectangle; draw very thick-latex rotate around: --nodeabovevecF; draw . arc ::.; draw rotate around: node at . alpha; draw dashed --; %draw very thick-latexcolorGreen ---. nodeabove vecF_mathrmR; %draw very thick-latexcolorRed ---. nodebelow vfg; %draw very thick-latexcolorblue .--.. nodeabove vecF_mathrmN; %Koordinatensystem %scopeshift-.. %draw -latex -- noderightx; %draw -latex -- nodeabovey; %scope tikzpicture figure
Solution:
Geg.: FsiN alphadegr msikg sscmuG. Ges.: a_x figureH centering tikzpicturescale. fill patternnorth east lines rectangle-.; draw thick --; draw thickfillgray! rectangle; draw very thick-latex rotate around: --nodeabovevecF; draw thick -latex --nodebelow vecF_x . ; draw thick -latex .--noderight vecF_y . ; draw . arc ::.; draw rotate around: node at . tiny alpha; draw very thick-latexcolorGreen ---. nodeabove vecF_mathrmR; draw very thick-latexcolorRed ---. nodebelow vfg; draw very thick-latexcolorblue .--.. nodeabove vecF_mathrmN; %Koordinatensystem scopeshift-.. draw -latex -- noderightx; draw -latex -- nodeabovey; scope tikzpicture figure y-Richtung: fresyRa F_mathrmN+F_mathrmysscFgRa F_mathrmNsscFg-F_mathrmy Damit erhalten wir für F_N: F_mathrmNmg-FsinalphasiN Beachte den Einfluss der y-Komponente von F auf F_mathrmN.pt x-Richtung: fresxma_xF_x-F_mathrmR Damit erhalten wir: ma_xFcosalpha-sscmuG F_mathrmNRa a_xfracFcosalpha-sscmuG F_mathrmNmres.m/s^
Meta Information
Exercise:
Eine Kiste mit kg Masse wird mit einer Kraft von N die unter einem Winkel von degr zur Horizontalen schräg nach oben gerichtet ist gezogen vgl. Abb.. Bestimme die Beschleunigung der Kiste. Der Gleitreibungskoeffizient ist dabei mu_tinysubG.. Die Kräfteskizze darf direkt in die Abbildung gezeichnet werden! text figureH centering tikzpicturescale fill patternnorth east lines rectangle-.; draw thick --; draw thickfillgray! rectangle; draw very thick-latex rotate around: --nodeabovevecF; draw . arc ::.; draw rotate around: node at . alpha; draw dashed --; %draw very thick-latexcolorGreen ---. nodeabove vecF_mathrmR; %draw very thick-latexcolorRed ---. nodebelow vfg; %draw very thick-latexcolorblue .--.. nodeabove vecF_mathrmN; %Koordinatensystem %scopeshift-.. %draw -latex -- noderightx; %draw -latex -- nodeabovey; %scope tikzpicture figure
Solution:
Geg.: FsiN alphadegr msikg sscmuG. Ges.: a_x figureH centering tikzpicturescale. fill patternnorth east lines rectangle-.; draw thick --; draw thickfillgray! rectangle; draw very thick-latex rotate around: --nodeabovevecF; draw thick -latex --nodebelow vecF_x . ; draw thick -latex .--noderight vecF_y . ; draw . arc ::.; draw rotate around: node at . tiny alpha; draw very thick-latexcolorGreen ---. nodeabove vecF_mathrmR; draw very thick-latexcolorRed ---. nodebelow vfg; draw very thick-latexcolorblue .--.. nodeabove vecF_mathrmN; %Koordinatensystem scopeshift-.. draw -latex -- noderightx; draw -latex -- nodeabovey; scope tikzpicture figure y-Richtung: fresyRa F_mathrmN+F_mathrmysscFgRa F_mathrmNsscFg-F_mathrmy Damit erhalten wir für F_N: F_mathrmNmg-FsinalphasiN Beachte den Einfluss der y-Komponente von F auf F_mathrmN.pt x-Richtung: fresxma_xF_x-F_mathrmR Damit erhalten wir: ma_xFcosalpha-sscmuG F_mathrmNRa a_xfracFcosalpha-sscmuG F_mathrmNmres.m/s^
Eine Kiste mit kg Masse wird mit einer Kraft von N die unter einem Winkel von degr zur Horizontalen schräg nach oben gerichtet ist gezogen vgl. Abb.. Bestimme die Beschleunigung der Kiste. Der Gleitreibungskoeffizient ist dabei mu_tinysubG.. Die Kräfteskizze darf direkt in die Abbildung gezeichnet werden! text figureH centering tikzpicturescale fill patternnorth east lines rectangle-.; draw thick --; draw thickfillgray! rectangle; draw very thick-latex rotate around: --nodeabovevecF; draw . arc ::.; draw rotate around: node at . alpha; draw dashed --; %draw very thick-latexcolorGreen ---. nodeabove vecF_mathrmR; %draw very thick-latexcolorRed ---. nodebelow vfg; %draw very thick-latexcolorblue .--.. nodeabove vecF_mathrmN; %Koordinatensystem %scopeshift-.. %draw -latex -- noderightx; %draw -latex -- nodeabovey; %scope tikzpicture figure
Solution:
Geg.: FsiN alphadegr msikg sscmuG. Ges.: a_x figureH centering tikzpicturescale. fill patternnorth east lines rectangle-.; draw thick --; draw thickfillgray! rectangle; draw very thick-latex rotate around: --nodeabovevecF; draw thick -latex --nodebelow vecF_x . ; draw thick -latex .--noderight vecF_y . ; draw . arc ::.; draw rotate around: node at . tiny alpha; draw very thick-latexcolorGreen ---. nodeabove vecF_mathrmR; draw very thick-latexcolorRed ---. nodebelow vfg; draw very thick-latexcolorblue .--.. nodeabove vecF_mathrmN; %Koordinatensystem scopeshift-.. draw -latex -- noderightx; draw -latex -- nodeabovey; scope tikzpicture figure y-Richtung: fresyRa F_mathrmN+F_mathrmysscFgRa F_mathrmNsscFg-F_mathrmy Damit erhalten wir für F_N: F_mathrmNmg-FsinalphasiN Beachte den Einfluss der y-Komponente von F auf F_mathrmN.pt x-Richtung: fresxma_xF_x-F_mathrmR Damit erhalten wir: ma_xFcosalpha-sscmuG F_mathrmNRa a_xfracFcosalpha-sscmuG F_mathrmNmres.m/s^
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