pomocyy potrzebuje rozwiazac zadania z fizyki 4 i 5 z dwoch grup na jutro !!

²zad. 4 . m = 10 kg d = 60 cm r = d/2 = 30 cm = 0,3 m n = 30 t = 60 s Fd = ? [latex]F_d = frac{mV^2}{r } [/latex] [latex]V = 2 pi rf .................. extgreater f = frac{n}{t} [/latex] [latex]V = frac{2 pi rn}{t} [/latex] [latex]V^2 = frac{4 pi ^2r^2n^2}{t^2} [/latex] [latex]F = frac{m}{r} * frac{4 pi ^2r^2n^2}{t^2} = frac{4 pi ^2mrn^2}{t^2} [/latex] [latex]F = frac{4 * (3,14 )^2 * 10 kg * 0,3 m * ( 30 )^2}{(60 s )^2} = frac{106483,7 kg * m }{3600s^2} = 29,6 N[/latex] zad.5. r = 200 m = 2 *10² m F = 4 *10⁻⁶ N G = 6,67 *10⁻¹¹ N*m² /kg ² m₁ =m₂ = m [latex]F = frac{Gmm}{r^2} = frac{Gm^2}{r^2} /*r^2[/latex] [latex]F*r^2 = Gm^2/ :G [/latex] [latex]m^2 = frac{F*r^2}{G} [/latex] [latex]m = sqrt{ frac{F*r^2}{G} } [/latex] [latex]m = sqrt{ frac{4 *10 ^{-6} N * (2 *10^2 m )^2}{6,67 *10 ^{-11} frac{N*m^2}{kg^2} } } = sqrt{ frac{16 *10 ^{-2} N*m^2}{6,67 *10 ^{-11} frac{N*m^2}{kg^2} } } [/latex] [latex]m= sqrt{24 *10^8 kg^2} = 4,9 *10^4 kg [/latex]