Broken shinbone
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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Exercise:
In a passenger lift the rope breaks and the cabin then falls hO o the depths without braking. At the bottom of the lift shaft it is coming to a halt within tO. There is a person in the cabin mO. The cross-section of his tibia is approximately AO. Bones withstand a maximum pressure of pbO. Will the shinbone break? One feet is .cm one inch is .cm and a pound is roughly g.
Solution:
The cabin of the elevator hits the floor with SolQtyvsqrt*ncgX*hX v sqrtgh sqrt ncg h v velocity. Because the floor brings the cabin to a halt within tO the floor accelerates the cabin i.e. changes its velocity with SolQtyavX/tXq a fracvt fracsqrtght fracvt a. This means that SolQtyFmX*aXN F ma m fracsqrtght m a F force is acting on the man in the cabin. The pressure acting on the mans legs he is standing on both legs is SolQtypFX//AXPa p fracFA' fracfracsqrtghtA fracsqrtghtA fracF A p &approx pS pP pb In all likelihood the shinbone will break. p fracsqrtghtA pS pP
In a passenger lift the rope breaks and the cabin then falls hO o the depths without braking. At the bottom of the lift shaft it is coming to a halt within tO. There is a person in the cabin mO. The cross-section of his tibia is approximately AO. Bones withstand a maximum pressure of pbO. Will the shinbone break? One feet is .cm one inch is .cm and a pound is roughly g.
Solution:
The cabin of the elevator hits the floor with SolQtyvsqrt*ncgX*hX v sqrtgh sqrt ncg h v velocity. Because the floor brings the cabin to a halt within tO the floor accelerates the cabin i.e. changes its velocity with SolQtyavX/tXq a fracvt fracsqrtght fracvt a. This means that SolQtyFmX*aXN F ma m fracsqrtght m a F force is acting on the man in the cabin. The pressure acting on the mans legs he is standing on both legs is SolQtypFX//AXPa p fracFA' fracfracsqrtghtA fracsqrtghtA fracF A p &approx pS pP pb In all likelihood the shinbone will break. p fracsqrtghtA pS pP
Meta Information
Exercise:
In a passenger lift the rope breaks and the cabin then falls hO o the depths without braking. At the bottom of the lift shaft it is coming to a halt within tO. There is a person in the cabin mO. The cross-section of his tibia is approximately AO. Bones withstand a maximum pressure of pbO. Will the shinbone break? One feet is .cm one inch is .cm and a pound is roughly g.
Solution:
The cabin of the elevator hits the floor with SolQtyvsqrt*ncgX*hX v sqrtgh sqrt ncg h v velocity. Because the floor brings the cabin to a halt within tO the floor accelerates the cabin i.e. changes its velocity with SolQtyavX/tXq a fracvt fracsqrtght fracvt a. This means that SolQtyFmX*aXN F ma m fracsqrtght m a F force is acting on the man in the cabin. The pressure acting on the mans legs he is standing on both legs is SolQtypFX//AXPa p fracFA' fracfracsqrtghtA fracsqrtghtA fracF A p &approx pS pP pb In all likelihood the shinbone will break. p fracsqrtghtA pS pP
In a passenger lift the rope breaks and the cabin then falls hO o the depths without braking. At the bottom of the lift shaft it is coming to a halt within tO. There is a person in the cabin mO. The cross-section of his tibia is approximately AO. Bones withstand a maximum pressure of pbO. Will the shinbone break? One feet is .cm one inch is .cm and a pound is roughly g.
Solution:
The cabin of the elevator hits the floor with SolQtyvsqrt*ncgX*hX v sqrtgh sqrt ncg h v velocity. Because the floor brings the cabin to a halt within tO the floor accelerates the cabin i.e. changes its velocity with SolQtyavX/tXq a fracvt fracsqrtght fracvt a. This means that SolQtyFmX*aXN F ma m fracsqrtght m a F force is acting on the man in the cabin. The pressure acting on the mans legs he is standing on both legs is SolQtypFX//AXPa p fracFA' fracfracsqrtghtA fracsqrtghtA fracF A p &approx pS pP pb In all likelihood the shinbone will break. p fracsqrtghtA pS pP
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Personenlift by TeXercises
Asked Quantity:
Druck \(p\)
in
Pascal \(\rm Pa\)
Physical Quantity
Druck \(p\)
auf Fläche verteilte Kraft
Unit
Pascal (\(\rm Pa\))
Base?
SI?
Metric?
Coherent?
Imperial?