Ek = Ep
[tex]Ek = \frac{m {v}^{2} }{2} [/tex]
[tex]Ep = mgh[/tex]
Dane i szukane
h = ?
g = 10m/s²
v = 10m/s
Wzór
[tex] \frac{m {v}^{2} }{2} = mgh | \div mg \\ h = \frac{ {v}^{2} }{2g} [/tex]
Obliczenia
[tex]h = \frac{ {(10 \frac{m}{s} )}^{2} }{2 \times 10 \frac{m}{ {s}^{2} } } = \frac{100 \frac{ {m}^{2} }{ {s}^{2} } }{20 \frac{m}{ {s}^{2} } } = \underline{5m}[/tex]