TeXercises.com

Zwei Kinder springen vom Wagen

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/zwei-kinder-springen-vom-wagen-1/

Question

Solution

Short

Video

\(\LaTeX\)

Need help? Yes, please!

The following quantities appear in the problem: Masse \(m\) / Geschwindigkeit \(v\) / Impuls \(p\) /

The following formulas must be used to solve the exercise: \(p = mv \quad \) \(\sum p_{\scriptscriptstyle\rm tot} \stackrel{!}{=} \sum p_{\scriptscriptstyle\rm tot}' \quad \)

Hide help

No explanation / solution video for this exercise has yet been created.
But there is a video to a similar exercise:

In case your browser prevents YouTube embedding: https://youtu.be/tMzs8f7N0ag

Exercise:
Die beiden Kinder Anna maO und Beat stehen auf einem ruhen Wagen MO. Nun springt zuerst Anna mit vaO relativ zum Wagen gemessen vom Wagen dann Beat mit vbO ebenfalls relativ zum Wagen gemessen worauf sich der Wagen mit vzO bewegt. Welche Masse hat Beat?

Solution:
Für den ersten Sprung den von Anna gilt: p &mustbe p' M+sscmbv_ + m_a v_ - v_a v_ fracsscmaM+sscma+sscmb v_a Für den zweiten Sprung den von Beat gilt: p &mustbe p' M+sscmb v_ Mv_ + sscmb v_ -sscvb M+sscmb v_ M+sscmbv_ - sscmb sscvb M+sscmb v_ + sscmb sscvb M+sscmbv_ M+sscmb fracsscmaM+sscma+sscmb v_a + sscmb sscvb M+sscmbv_ Aufgelöst nach der Masse von Beat erhält man: v_-sscvbsscmb^ + Mv_-Msscvb + sscmav_-sscmasscvb-sscmasscvasscmb + M^v_ - M sscmasscva a sscmb^ + b sscmb + c Die Lösungen dieser quadratischen Gleichung sind: m_' d m_'' e

Meta Information

\(\LaTeX\)-Code

Contained in these collections:

Vom Wagen springen by TeXercises

3 | 4

Asked Quantity: Masse \(m\) in Kilogramm \(\rm kg\)

Attributes & Decorations

Tags	impuls, impulserhaltung, mechanik, physik, springen, stoss, unelastisch, unelastischer stoss, wagen
Content image
Difficulty	(4, default)
Points	4 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
File
Link