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Iron meteorite

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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/iron-meteorite-1/

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The following quantities appear in the problem: Masse \(m\) / Temperatur \(T\) / Energie \(E\) / Wärme \(Q\) / spezifische latente Wärme \(L\) / Wärmekapazität \(c\) /

The following formulas must be used to solve the exercise: \(\sum E_{\scriptscriptstyle\rm tot} \stackrel{!}{=} \sum E_{\scriptscriptstyle\rm tot}' \quad \) \(Q = c \cdot m \cdot \Delta\vartheta \quad \) \(E_{\rm \scriptscriptstyle kin} = \dfrac12 mv^2 \quad \) \(Q = m \cdot L_{\scriptscriptstyle\rm f} \quad \)

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Exercise:
An iron meteorite melts when it enters the Earth's atmosphere. If its initial speed outside of Earth's atmosphere was .kilometerpersecond calculate the minimum temperature the meteorite could have had before it entered Earth's atmosphere. Iron melts at degreeCelsius its specific heat is jouleperkilogramperkelvin and its latent heat of fusion .ejouleperkilogram.

Solution:
If the iron meteorite melts it must be heaten up to irons melting po theta_fdegreeCelsius and then be melted. The energy for these two processes comes from the meteorites speed hence: Ekin Q Ekin Q_Delta + Q_f frac mv^ c m Deltatheta + m L_f frac v^ c theta_f-textcolorredtheta_ + L_f frac v^ c theta_f - c textcolorredtheta_ + L_f c textcolorredtheta_ c theta_f + L_f - frac v^ textcolorredtheta_ theta_f + fracL_f - frac v^c -.edegreeCelsius

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Attributes & Decorations

Branches	Temperatur & Heat, Work, Energy, Power
Tags	atmosphere, earth, energy, friction, heat, iron, kinetic, latent, melt, melting, meteorite, physics, thermodynamics
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Difficulty	(4, default)
Points	3 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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