Exercise
https://texercises.com/exercise/matura-m-teil-1-billardkugeln/
Question
Solution
Short
Video
\(\LaTeX\)
In case your browser prevents YouTube embedding: https://youtu.be/IhqncCB0Evg
Exercise:
Warum laufen der weisse Spiel- und der farbige Objektball beim Billard in einem rechten Winkel auseinander?

Solution:
tikzpicturescale. latex BillardSpielball.; Billardkugel..black; drawdashed .--; drawcolorgreen- thick .--. nodeabove v_; tikzpicture bf Elastischer Stoss: Energieerhaltung E E' E_ E_'+E_' fracmv_^ fracmv_'^ + fracmv_'^ Pythagoras rechtwinkliges Dreieck! tikzpicturescale. BillardSpielball..; Billardkugel..black; drawdashed --; drawdashed --; drawxshift.cmcolorgreen- thick :.cm -- +:.cm nodeabove v_'; drawxshift.cmdashedcolorred- :.cm -- +. nodebelow v_; drawxshift.cmdashed colorblu :cm -- +-:.cm nodeabove right v_'; drawxshift.cmcolorgreen- thick -:.cm -- +-:.cm nodeabove right v_'; scopexshiftcm filldrawcolororangefillorange!!white -- arc :-:cm--cycle; nodecolororange at -:.cm alpha; draw- colorgreenthick --+-:.cm nodemidwayleft v_'; filldrawcolororangefillorange!!white -- arc ::cm--cycle; nodecolororange at :.cm beta; draw- colorgreenthick --+:cm nodemidwayabove v_'; scope tikzpicture bf Impulserhaltung: mv_ mv_'cosalpha + mv_'cosbeta && quad x mv_'sinalpha + mv_'sinbeta && quad y bf Lösung: v_' v_ cosalpha v_' v_ sinalpha
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\(\LaTeX\)-Code
Exercise:
Warum laufen der weisse Spiel- und der farbige Objektball beim Billard in einem rechten Winkel auseinander?

Solution:
tikzpicturescale. latex BillardSpielball.; Billardkugel..black; drawdashed .--; drawcolorgreen- thick .--. nodeabove v_; tikzpicture bf Elastischer Stoss: Energieerhaltung E E' E_ E_'+E_' fracmv_^ fracmv_'^ + fracmv_'^ Pythagoras rechtwinkliges Dreieck! tikzpicturescale. BillardSpielball..; Billardkugel..black; drawdashed --; drawdashed --; drawxshift.cmcolorgreen- thick :.cm -- +:.cm nodeabove v_'; drawxshift.cmdashedcolorred- :.cm -- +. nodebelow v_; drawxshift.cmdashed colorblu :cm -- +-:.cm nodeabove right v_'; drawxshift.cmcolorgreen- thick -:.cm -- +-:.cm nodeabove right v_'; scopexshiftcm filldrawcolororangefillorange!!white -- arc :-:cm--cycle; nodecolororange at -:.cm alpha; draw- colorgreenthick --+-:.cm nodemidwayleft v_'; filldrawcolororangefillorange!!white -- arc ::cm--cycle; nodecolororange at :.cm beta; draw- colorgreenthick --+:cm nodemidwayabove v_'; scope tikzpicture bf Impulserhaltung: mv_ mv_'cosalpha + mv_'cosbeta && quad x mv_'sinalpha + mv_'sinbeta && quad y bf Lösung: v_' v_ cosalpha v_' v_ sinalpha
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Attributes & Decorations
Branches
Momentum
Tags
billard, billardkugel, impuls, impulssatz, kollision, matura, mechanik, mündlich, pam, physik, stoss, unelastischer stoss, zw
Content image
Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
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