Hmotný bod o hmotnosti 1 kg obíhá po kružnici o poloměru 2 m s úhlovou rychlostí 20 rad · s−1. Jaká je kinetická energie tohoto bodu?
Správná odpověď je: C
Kinetickou energii hmotného bodu lze vypočítat podle vzorce . Rychlost hmotného bodu v tomto případě představuje rychlost pohybu hmotného bodu po kružnici, kterou lze vyjádřit pomocí úhlové rychlosti Ω jako . Pro kinetickou energii tohoto hmotného bodu tak platí:
EK = ½ · m · (Ω · r)2 = ½ · 1 kg · (20 rad · s−1 · 2 m)2 = 0,5 · 1 kg · (40 m · s−1)2 = 0,5 kg · 1 600 m2 · s−2 = 800 J.
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