h = 100m v = 36km/h = 10m/s m = 0,5kg Ep = mgh Ek = mv²/2 E = Ep + Ek E = mgh + mv²/2 = m(gh + v²/2) E = 0,5kg(10N/kg x 100m + (10m/s)²/2) = 525J ---------------------------------------------------------------------------------------------------- Litterarum radices amarae sunt, fructus iucundiores Pozdrawiam :)
[latex]\\ h=100m \\ V=36km/h=36 cdot frac{1000m}{3600s}=10m/s \\ m=0,5kg \\ gapprox 10m/s^2 \\ E_p=mgh=0,5kg cdot 10m/s^2 cdot 100m =500J \\ E_k=frac{mV^2}{2}=frac{0,5kg cdot (10m/s)^2}{2}=frac{0,5kg cdot 100m^2/s^2}{2}=25J \\ E_{mech}=E_p+E_k=500J+25J=525J[/latex]
