Jakou rychlost získá při zanedbání odporu vzduchu těleso padající v homogenním gravitačním poli Země z výšky 125 m, jestliže jeho hmotnost je 5 kg?
Správná odpověď je: A
Při pádu v homogenním gravitačním poli Země je těleso urychlováno gravitačním zrychlením, které číselně téměř odpovídá tíhovému zrychlení g = 10 m · s−2. Pro dráhu rovnoměrně zrychleného pohybu platí vzorec , pro rychlost tohoto tělesa pak platí . Dobu pádu tělesa potřebnou pro výpočet jeho rychlosti lze určit ze vzorce pro dráhu jako , tedy:
t = √[(2 · s)/g] = √(250 m/10 m · s−2) = √(25 s2) = 5 s.
Těleso tedy za 5 sekund svého pohybu získá rychlost:
v = g · t = 10 m · s−2 · 5 s = 50 m · s−1.
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