Wyliczyć i popodstawiać do wzoru V= pierwiastek z G M2/R2 ~7/9 km/s

dane: Mz = 5,97 * 10^24 kg Rz = 6,37 * 10^6 m G = 6,67 * 10^-11 Nm2/kg2 szukane: v1 = ? v = V(G*Mz/Rz)      G*Mz = 6,67 ^ 10^-11 * 5,97 * 10^22 = 39,8 * 10^13 = 3,98 * 10^14 m3/s2 v = V[3,98 * 10^14/(6,37 * 10^6)]  = V(3,98 * 10^14/6,37 *10^6) =    = V(0,6248 *10^8) = 0,79 * 10^4 = 7,9 * 10^3 m/s v = 7,9 km/s

[latex]Mz= 5,972cdot10^{24}kg masa Ziemi[/latex] [latex]Rz=6 371 km=6371000m promien Ziemi[/latex] [latex]G=6,67cdot10^{-11}frac{m^3}{kgcdot s^2} stala grawitacji[/latex] [latex]V=sqrt{Gfrac{Mz}{Rz}}=sqrt{6,67cdot10^{-11}frac{m^3}{kgcdot s^2}frac{5,972cdot10^{24}kg}{6371000m}}=sqrt{6,25cdot10^{-6}cdot10^{12}}[/latex] [latex]=sqrt{62522743,68frac{m^2}{s^2}}=7907frac{m}{s}approx7,9frac{km}{s}[/latex]