Skalarprodukt von Vektoren (6)

[size=150]Der Schlitten wird gemäß untenstehender Zeichnung entlang der Strecke [b]s = 25 m[/b] mit einer [b]Zugkraft F[sub]Zug[/sub]= 75 N[/b] gezogen.[br][br]Aufgabe:[br]Berechne die[b] Arbeit[/b], die dabei verrichtet wird.[br][b]Begründe zunächst, weshalb die Lösung [math]\bold{W=75N\cdot25m=1875Nm}[/math] falsch ist.[/b][/size]
[size=85]Info:[br][math]W=F\cdot s[/math] ist die Formel für die Arbeit, wobei F die Kraft ist, die in Richtung des Weges s wirkt.[br] [br]Haben die wirkende Kraft und der Weg nicht dieselbe Richtung, müssen wir die Formel genauer betrachten:[br][list][*]Kraft [math]\vec F[/math] und Weg [math]\vec s[/math] sind vektorielle Größen (mit Betrag und Richtung).[/*][*]Die skalare (ungerichtete) Größe Arbeit ist das Produkt der beiden Vektoren [math]\vec F[/math] und [math]\vec s[/math] . [b][color=#ff0000]*[/color][/b][br][/*][*][math]F=\mid \vec F\mid[/math] ist der Betrag der Kraft [/*][*][math]s=\mid \vec s\mid[/math][/*][/list][/size][img]data:image/png;base64,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[/img][br]Im rechtwinkligen Dreieck gilt: [math]cos\,\alpha=\frac{\mid \vec F \mid}{\mid \overrightarrow {F_{Zug}} \mid} \; \Rightarrow\; \;\mid \vec F \mid=\mid \overrightarrow {F_{Zug}} \mid \cdot \; cos \, \alpha[/math][br][br][size=85]Für die Arbeit W gilt also: [math]W=\mid \overrightarrow {F_{Zug}} \mid \cdot \; cos \, \alpha \; \cdot \mid \vec s \mid \; = \; \mid \overrightarrow {F_{Zug}} \mid \cdot \mid \vec s \mid \cdot cos \, \alpha [/math][br][br]Zusammen mit [b][color=#ff0000]*[/color][/b] gilt: [math]W \; = \; \mid \overrightarrow {F_{Zug}} \mid \cdot \mid \vec s \mid \cdot cos \, \alpha \; =^* \; \vec F \odot \vec s[/math][br][/size][br][br][br][br][br]
Lösung der Aufgabe
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