Grundkompetenz: AG 2.1, FA 1.4, FA 5.1
Direkt unter der Wasseroberfläche beträgt der Druck [math]1[/math] Bar. Der Druck nimmt mit zunehmender Wassertiefe gleichmäßig zu, und zwar um [math]1[/math] Bar je [math]10[/math] Meter Wassertiefe. [br][br][br][b][size=150][br]1) Berechnen Sie, in welcher Wassertiefe ein Druck von [math]3,9[/math] Bar herrscht.[/size][/b]
Die Abnahme der Beleuchtungsstärke erfolgt unter Wasser exponentiell und kann näherungsweise durch die Funktion [math]f[/math] beschrieben werden. Der Graph von [math]f[/math] ist in der nachstehenden Abbildung dargestellt.[br][img]data:image/png;base64,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[/img][br][br][br][br][b][size=150]1) Lesen Sie aus der obigen Abbildung ab, in welcher Tiefe die Beleuchtungsstärke nur mehr [math]10\%[/math] ihres Anfangswerts beträgt.[/size][/b]
[b][size=150]2) Erstellen Sie eine Gleichung der Funktion [math]f[/math]. [/size][/b]
Durch eine bestimmte Tauchermaske werden alle Gegenstände unter Wasser um ein Drittel größer wahrgenommen, als sie tatsächlich sind.[br][br][br][b][size=150][br]1) Ermitteln Sie, um wie viel Prozent die tatsächliche Größe kleiner als die wahrgenommene Größe ist.[/size][/b]