Astronomie: Gravitationsfeld 20
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:
Eine Raumsonde kg wird wegen eines Programmierfehlers zu früh auf Geschwindigkeit Null abgebremst und fällt danach m frei auf die Marsoberfläche. a Wie lange dauert der freie Fall ungefähr? b Welche Kraft übt die Sonde währ des Falls auf den Mars aus? Ist diese Frage überhaupt sinnvoll?
Solution:
% . November Lie. * &texta h tfracg_M t^ Rightarrow t sqrtfrachg_M sqrtfrac sim.sim/s^ .sis uulinesis &textb actio reactio! F_h fracGMmr^ fracGMmr_M+h^ frac.eeesim^/s^ sikg.eeesim+.eeesim^ uuline siN &quad F_ fracGMmr_M^ frac.eeesim^/s^ sikg.eeesim^ uuline .sikN * % . November Lie. Nachtrag: Die Gravitationsfeldstärke Fallbeschleunigung vermindert sich mit wachsem Abstand. * &textan der Oberfläche g_M fracGMr_M^ frac.eeesim^/s^.eeesim^ .sim/s^ &textin der Höhe gh fracGMr^ fracGMr_M+h^ frac.eeesim^/s^.eeesim+.eeesim^ uuline .sim/s^ &qquad t_textmax sqrtfrachgh sqrtfrac sim.sim/s^ .sis uulinesis * Durch die Näherung g approx g_M textconst verursachen wir einen Fehler in der Grössenordnung von %. Weil die Fallbeschleunigung variiert wird die ``wahre Fallzeit'' zwischen und Sekunden liegen. % . November Lie.
Eine Raumsonde kg wird wegen eines Programmierfehlers zu früh auf Geschwindigkeit Null abgebremst und fällt danach m frei auf die Marsoberfläche. a Wie lange dauert der freie Fall ungefähr? b Welche Kraft übt die Sonde währ des Falls auf den Mars aus? Ist diese Frage überhaupt sinnvoll?
Solution:
% . November Lie. * &texta h tfracg_M t^ Rightarrow t sqrtfrachg_M sqrtfrac sim.sim/s^ .sis uulinesis &textb actio reactio! F_h fracGMmr^ fracGMmr_M+h^ frac.eeesim^/s^ sikg.eeesim+.eeesim^ uuline siN &quad F_ fracGMmr_M^ frac.eeesim^/s^ sikg.eeesim^ uuline .sikN * % . November Lie. Nachtrag: Die Gravitationsfeldstärke Fallbeschleunigung vermindert sich mit wachsem Abstand. * &textan der Oberfläche g_M fracGMr_M^ frac.eeesim^/s^.eeesim^ .sim/s^ &textin der Höhe gh fracGMr^ fracGMr_M+h^ frac.eeesim^/s^.eeesim+.eeesim^ uuline .sim/s^ &qquad t_textmax sqrtfrachgh sqrtfrac sim.sim/s^ .sis uulinesis * Durch die Näherung g approx g_M textconst verursachen wir einen Fehler in der Grössenordnung von %. Weil die Fallbeschleunigung variiert wird die ``wahre Fallzeit'' zwischen und Sekunden liegen. % . November Lie.
Meta Information
Exercise:
Eine Raumsonde kg wird wegen eines Programmierfehlers zu früh auf Geschwindigkeit Null abgebremst und fällt danach m frei auf die Marsoberfläche. a Wie lange dauert der freie Fall ungefähr? b Welche Kraft übt die Sonde währ des Falls auf den Mars aus? Ist diese Frage überhaupt sinnvoll?
Solution:
% . November Lie. * &texta h tfracg_M t^ Rightarrow t sqrtfrachg_M sqrtfrac sim.sim/s^ .sis uulinesis &textb actio reactio! F_h fracGMmr^ fracGMmr_M+h^ frac.eeesim^/s^ sikg.eeesim+.eeesim^ uuline siN &quad F_ fracGMmr_M^ frac.eeesim^/s^ sikg.eeesim^ uuline .sikN * % . November Lie. Nachtrag: Die Gravitationsfeldstärke Fallbeschleunigung vermindert sich mit wachsem Abstand. * &textan der Oberfläche g_M fracGMr_M^ frac.eeesim^/s^.eeesim^ .sim/s^ &textin der Höhe gh fracGMr^ fracGMr_M+h^ frac.eeesim^/s^.eeesim+.eeesim^ uuline .sim/s^ &qquad t_textmax sqrtfrachgh sqrtfrac sim.sim/s^ .sis uulinesis * Durch die Näherung g approx g_M textconst verursachen wir einen Fehler in der Grössenordnung von %. Weil die Fallbeschleunigung variiert wird die ``wahre Fallzeit'' zwischen und Sekunden liegen. % . November Lie.
Eine Raumsonde kg wird wegen eines Programmierfehlers zu früh auf Geschwindigkeit Null abgebremst und fällt danach m frei auf die Marsoberfläche. a Wie lange dauert der freie Fall ungefähr? b Welche Kraft übt die Sonde währ des Falls auf den Mars aus? Ist diese Frage überhaupt sinnvoll?
Solution:
% . November Lie. * &texta h tfracg_M t^ Rightarrow t sqrtfrachg_M sqrtfrac sim.sim/s^ .sis uulinesis &textb actio reactio! F_h fracGMmr^ fracGMmr_M+h^ frac.eeesim^/s^ sikg.eeesim+.eeesim^ uuline siN &quad F_ fracGMmr_M^ frac.eeesim^/s^ sikg.eeesim^ uuline .sikN * % . November Lie. Nachtrag: Die Gravitationsfeldstärke Fallbeschleunigung vermindert sich mit wachsem Abstand. * &textan der Oberfläche g_M fracGMr_M^ frac.eeesim^/s^.eeesim^ .sim/s^ &textin der Höhe gh fracGMr^ fracGMr_M+h^ frac.eeesim^/s^.eeesim+.eeesim^ uuline .sim/s^ &qquad t_textmax sqrtfrachgh sqrtfrac sim.sim/s^ .sis uulinesis * Durch die Näherung g approx g_M textconst verursachen wir einen Fehler in der Grössenordnung von %. Weil die Fallbeschleunigung variiert wird die ``wahre Fallzeit'' zwischen und Sekunden liegen. % . November Lie.
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Astronomie: Gravitationsfeld by Lie