[latex]m = 1 kg F = 8,74 N d = 12200 km = 12,2 *10^3 km = 12,2 *10^6 m R = d/2 R = 6,1 *10^6 m G = 6,67 *10 ^{-11} frac{N * m^2}{kg^2} M_W = ? F = GM_Wm/R^2 F * R^2 = GM_Wm M_W = frac{F*R^2 }{Gm} M_W= frac{8,74 N * (6,1*10^6 m)^2 }{6,67 *10 ^{-11} frac{N*m^2}{kg^2} *1 kg } M_W = frac{325,2 *10 ^{12} N * m^2 }{6,67 *10 ^{-11} frac{N * m^2}{kg^2} } M_W = 48 *10 ^{23} kg M_W = 4,8 *10 ^{24} kg [/latex]
[latex]dane: m = 1kg F = 8,74N d = 12200km = 12200000m = 1,22 * 10^{7}m r = d/2 = 1,22/2 * 10^{7}m = 6,1 * 10^{6}m G = 6,67 * 10^{-11}Nm^{2}/kg^{2} szukane: M = ?[/latex] [latex]F = G * Mm/r^{2} G * Mm = F * r^{2} M = F * r^{2}/Gm M = 8,74 * (6,1 * 10^{6})^{2}/(6,67 * 10^{-11}) = 48 * 10^{23} M = 4,8 * 10^{24}kg[/latex]
oblicz mase wenus wiedzac ze przyciaga ona cialo o masie 1kg sila8,74N a jej srednica wynosi 12200km.oblicz mase Wenus...
