Dane: Masa Marsa: 6,4*10²³kg Promień:3,4*10⁶m Szukane: g=? Wzór: G*M / R² G=6,67*10⁻¹¹

[latex]dane:\M_{M} = 6,4cdot10^{23} kg\R_{M} = 3,4cdot10^{6} m\G = 6,67cdot10^{-11}frac{Nm^{2}}{kg^{2}}\szukane:\g_{M} = ?[/latex] [latex]g = Gcdotfrac{M}{R} \\g_{M} = Gcdotfrac{M_{M}}{(R_{M})^{2}}\\g_{M} = 6,67cdot10^{-11}frac{Nm^{2}}{kg^{2}}cdotfrac{6,4cdot10^{23}kg}{(3,4cdot10^{6}m)^{2}}=frac{42,688cdot10^{12}}{11,56cdot10^{12}}frac{m}{s^{2}}\\g_{M}approx3,7frac{m}{s^{2}}[/latex]