Set a wooden log in motion
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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\(\LaTeX\)
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Exercise:
How much force is necessary to set the wooden log mzO between the upper log moO and the metallic surface in motion? The coefficients for kinetic and static friction between the two logs are . and glbO respectively those between the log and the metallic surface are . and glaO. center tikzpicturescale. filldrawcolorblack!!white fillblack!!white rectangle -.; filldrawcolorblack!!white fillblack!!white -. rectangle -.; filldrawcolorbrown rectangle ; drawcolorbluelatex - thick .--.; drawcolorblack thick very thick .--.; filldrawcolorBrown fillBrown rectangle ; drawcolorblack ----; tikzpicture center
Solution:
To set the log in the middle in motion two forces of friction have to be overcome: The one between the log and the metallic surface and the one between the two logs. The one between the two logs is: F_ mu_ F_bot mu_ m_ g glb mo ncg Fa The one between the lower log and the metallic surface is: F_ mu_ F_bot mu_ m_+m_ g gla mo+mz ncg Fb In total one has to pull with F F_ + F_ mu_ m_ g + mu_ m_+m_ g mu_ +mu_ m_+mu_ m_ g Fa + Fb F approx FS of force on the log in between. F mu_ +mu_ m_+mu_ m_ g FS
How much force is necessary to set the wooden log mzO between the upper log moO and the metallic surface in motion? The coefficients for kinetic and static friction between the two logs are . and glbO respectively those between the log and the metallic surface are . and glaO. center tikzpicturescale. filldrawcolorblack!!white fillblack!!white rectangle -.; filldrawcolorblack!!white fillblack!!white -. rectangle -.; filldrawcolorbrown rectangle ; drawcolorbluelatex - thick .--.; drawcolorblack thick very thick .--.; filldrawcolorBrown fillBrown rectangle ; drawcolorblack ----; tikzpicture center
Solution:
To set the log in the middle in motion two forces of friction have to be overcome: The one between the log and the metallic surface and the one between the two logs. The one between the two logs is: F_ mu_ F_bot mu_ m_ g glb mo ncg Fa The one between the lower log and the metallic surface is: F_ mu_ F_bot mu_ m_+m_ g gla mo+mz ncg Fb In total one has to pull with F F_ + F_ mu_ m_ g + mu_ m_+m_ g mu_ +mu_ m_+mu_ m_ g Fa + Fb F approx FS of force on the log in between. F mu_ +mu_ m_+mu_ m_ g FS
Meta Information
Exercise:
How much force is necessary to set the wooden log mzO between the upper log moO and the metallic surface in motion? The coefficients for kinetic and static friction between the two logs are . and glbO respectively those between the log and the metallic surface are . and glaO. center tikzpicturescale. filldrawcolorblack!!white fillblack!!white rectangle -.; filldrawcolorblack!!white fillblack!!white -. rectangle -.; filldrawcolorbrown rectangle ; drawcolorbluelatex - thick .--.; drawcolorblack thick very thick .--.; filldrawcolorBrown fillBrown rectangle ; drawcolorblack ----; tikzpicture center
Solution:
To set the log in the middle in motion two forces of friction have to be overcome: The one between the log and the metallic surface and the one between the two logs. The one between the two logs is: F_ mu_ F_bot mu_ m_ g glb mo ncg Fa The one between the lower log and the metallic surface is: F_ mu_ F_bot mu_ m_+m_ g gla mo+mz ncg Fb In total one has to pull with F F_ + F_ mu_ m_ g + mu_ m_+m_ g mu_ +mu_ m_+mu_ m_ g Fa + Fb F approx FS of force on the log in between. F mu_ +mu_ m_+mu_ m_ g FS
How much force is necessary to set the wooden log mzO between the upper log moO and the metallic surface in motion? The coefficients for kinetic and static friction between the two logs are . and glbO respectively those between the log and the metallic surface are . and glaO. center tikzpicturescale. filldrawcolorblack!!white fillblack!!white rectangle -.; filldrawcolorblack!!white fillblack!!white -. rectangle -.; filldrawcolorbrown rectangle ; drawcolorbluelatex - thick .--.; drawcolorblack thick very thick .--.; filldrawcolorBrown fillBrown rectangle ; drawcolorblack ----; tikzpicture center
Solution:
To set the log in the middle in motion two forces of friction have to be overcome: The one between the log and the metallic surface and the one between the two logs. The one between the two logs is: F_ mu_ F_bot mu_ m_ g glb mo ncg Fa The one between the lower log and the metallic surface is: F_ mu_ F_bot mu_ m_+m_ g gla mo+mz ncg Fb In total one has to pull with F F_ + F_ mu_ m_ g + mu_ m_+m_ g mu_ +mu_ m_+mu_ m_ g Fa + Fb F approx FS of force on the log in between. F mu_ +mu_ m_+mu_ m_ g FS
Contained in these collections:
Asked Quantity:
Kraft \(F\)
in
Newton \(\rm N\)
Physical Quantity
Kraft \(F\)
Einfluss, der Körper verformt oder beschleunigt
Masse mal Beschleunigung
Unit
Newton (\(\rm N\))
Base?
SI?
Metric?
Coherent?
Imperial?