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Schwingende Masse an Feder

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.

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 -

Exercise

https://texercises.com/exercise/schwingende-masse-an-feder/

Question

Solution

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Exercise:
Eine Masse von g sei an einer Feder .newtonpermeter befestigt werde um cm nach rechts ausgelenkt und zur Zeit t losgelassen. abcliste abc Gib die numerischen Werte von y_ omega und T an. abc Gib die Schwingungsfunktion yt dieser schwingen Masse an und berechne y.s. abc Gib die Geschwindigkeitsfunktion vt an und berechne ihren Maximalwert. abc Gib die Beschleunigungsfunktion at an und berechne ihren Wert im ersten Umkehrpunkt. abcliste

Solution:
abcliste abc Es sind y_ .m omega sqrtfracKm .Hzquad mboxsowie T fracpiomega .s. abc Die Elongation ist yt y_cosomega t quadmboxund insbesondere ys -.m. abc Die Geschwindigkeit erste Ableitung der Elongation ist vt -omega y_ sinomega t. Die maximale Elongation ist weil der Sinus-Term nie grösser als eins wird v_mboxtiny max omega y_ .meterpersecond. abc Die Beschleunigungs-Zeit-Funktion ist at -omega^ y_ cosomega t. Im ersten Umkehrpunkt ist der Kosinus-Term genau -. Also ist die Beschleunigung im Umkehrpunkt maximal nämlich a _mboxtiny max omega^ y_ meterpersecondsquared. abcliste

Meta Information

\(\LaTeX\)-Code

Contained in these collections:

Schwingungen by kf

1 | 6
Prüfung 09/10 6PAM Schwingungen by uz

2 | 7
Nachprüfung 09/10 6PAM Schwingungen by uz

2 | 6

Attributes & Decorations

Tags	beschleunigung, feder, federgesetz, federkonstante, geschwindigkeit, harmonische, hooke, hookesches gesetz, physik, schwingung, wellenlehre
Content image
Difficulty	(4, default)
Points	4 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
File
Link