Escaping rocket
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:
Escape velocity from the Earth is vO. What would be the percent decrease in length of a ft long Saturn V rocket traveling at that speed? One foot is .cm one mile is .m.
Solution:
SolQtyg/sqrt-vX^/nccX^ SolQtygmgX- SolQtyvc.*vX^/nccX^ The Lorentz factor corresponding to escape velocity is gamma fracsqrt-fracv^c^ g what is not accurate enough. A normal pocket calculator can compute gamma - gm though; if not one could use the approximate formulas for the Lorentz factor: gamma + frac fracv^c^ + vc gamma- frac fracv^c^ vc The change in length is Delta ell ell - ell_ whereas the new length is Lorentz contracted ell fracell_gamma The percentual change in the length hence is: fracDelta ellell_ fracell-ell_ell_ fracfracell_gamma-ell_ell_ fracgamma- gamma- frac fracv^c^ vc
Escape velocity from the Earth is vO. What would be the percent decrease in length of a ft long Saturn V rocket traveling at that speed? One foot is .cm one mile is .m.
Solution:
SolQtyg/sqrt-vX^/nccX^ SolQtygmgX- SolQtyvc.*vX^/nccX^ The Lorentz factor corresponding to escape velocity is gamma fracsqrt-fracv^c^ g what is not accurate enough. A normal pocket calculator can compute gamma - gm though; if not one could use the approximate formulas for the Lorentz factor: gamma + frac fracv^c^ + vc gamma- frac fracv^c^ vc The change in length is Delta ell ell - ell_ whereas the new length is Lorentz contracted ell fracell_gamma The percentual change in the length hence is: fracDelta ellell_ fracell-ell_ell_ fracfracell_gamma-ell_ell_ fracgamma- gamma- frac fracv^c^ vc
Meta Information
Exercise:
Escape velocity from the Earth is vO. What would be the percent decrease in length of a ft long Saturn V rocket traveling at that speed? One foot is .cm one mile is .m.
Solution:
SolQtyg/sqrt-vX^/nccX^ SolQtygmgX- SolQtyvc.*vX^/nccX^ The Lorentz factor corresponding to escape velocity is gamma fracsqrt-fracv^c^ g what is not accurate enough. A normal pocket calculator can compute gamma - gm though; if not one could use the approximate formulas for the Lorentz factor: gamma + frac fracv^c^ + vc gamma- frac fracv^c^ vc The change in length is Delta ell ell - ell_ whereas the new length is Lorentz contracted ell fracell_gamma The percentual change in the length hence is: fracDelta ellell_ fracell-ell_ell_ fracfracell_gamma-ell_ell_ fracgamma- gamma- frac fracv^c^ vc
Escape velocity from the Earth is vO. What would be the percent decrease in length of a ft long Saturn V rocket traveling at that speed? One foot is .cm one mile is .m.
Solution:
SolQtyg/sqrt-vX^/nccX^ SolQtygmgX- SolQtyvc.*vX^/nccX^ The Lorentz factor corresponding to escape velocity is gamma fracsqrt-fracv^c^ g what is not accurate enough. A normal pocket calculator can compute gamma - gm though; if not one could use the approximate formulas for the Lorentz factor: gamma + frac fracv^c^ + vc gamma- frac fracv^c^ vc The change in length is Delta ell ell - ell_ whereas the new length is Lorentz contracted ell fracell_gamma The percentual change in the length hence is: fracDelta ellell_ fracell-ell_ell_ fracfracell_gamma-ell_ell_ fracgamma- gamma- frac fracv^c^ vc
Contained in these collections:
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SRT - Längenkontraktion by uz
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Asked Quantity:
Verhältnis / Anteil \(\eta\)
in
Prozentsatz \(\rm \eta\)
Physical Quantity
Unit