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Kinetische Energie (relativistisch)

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Again, very vague... But the number should kind of represent the "work" required.

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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/kinetische-energie-relativistisch/

Question

Solution

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The following quantities appear in the problem: Masse \(m\) / Energie \(E\) / Geschwindigkeit \(v\) / Lorentz-Faktor \(\gamma\) /

The following formulas must be used to solve the exercise: \(E_k = (\gamma-1)mc^2 \quad \) \(\gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}} \quad \)

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Exercise:
abcliste abc Welche kinetische Energie erwartet man für ein Myon mu^- mit Ruheenergie Eb falls es sich mit nbc bewegt? abc Welche Ruheenergie hat ein Tauon tau^- welches eine kinetische Energie von Ekc hat sobald es sich mit nc der Lichtgeschwindigkeit bewegt? abc Ein Elektron e^- mit Ez Ruheenergie habe eine kinetische Energie von Ek. Mit welcher Geschwindigkeit bewegt es sich? abcliste

Solution:
abcliste abc Der gamma-Faktor beträgt gamma fracsqrt-fracv^c^ gb womit die kinetische Energie des Teilchens Ekin gamma- E_ Ekb EkbC ist. abc Der gamma-Faktor beträgt gamma fracsqrt-fracv^c^ gc womit die Ruheenergie des Teilchens E_ fracEkingamma- Ezc EzcC ist. abc Der gamma-Faktor beträgt gamma fracEkin+E_E_ fracEk+EzCEzC ga womit die Geschwindigkeit v c sqrt-fracgamma^ c vaTT vaC beträgt. abcliste

Meta Information

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Contained in these collections:

SRT - Energie und Masse 2 by uz

3 | 10
Kinetische Energie, Ruheenergie und Geschwindigkeit by TeXercises

1 | 7

Attributes & Decorations

Branches	Work, Energy, Power
Tags	einstein, elektron, energie, gamma, geschwindigkeit, kinetische energie, lepton, muon, relativ, relativistisch, relativitätstheorie, srt, tau, tauon
Content image
Difficulty	(2, default)
Points	6 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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