a= GM /R² skoro h jest= promieniowi Ziemi, czyli : G=6,67*10 ^ -11 N m² / kg² M= masa Ziemi=5,98*10^24 kg R=6,37 *10 ^6 m a= GM/ (2R)² a= [ 6,67*10^-11 N m²/kg² * 5,98*10^24 kg] / ( 2 * 6,37*10^6 m)²= 39,8866 *10^13 N m²/kg / (6,37*10^6 m)²= 39,8866*10^13 Nm²/kg / 162,3076*10^12 m²= 0,2457469 *10= 2,457469 N/kg= 2,45746 m/s² bo 1N=1 kg *m /s² czyli N/kg= 1kg *m / s² * 1/kg= m/s²
[latex]dane:\h = 2R_{z}\g_{o} = 9,81frac{m}{s^{2}}\szukane:\g_{h} = ?[/latex] [latex]g_{o} = frac{GM_{z}}{R_{z}^{2}}\\g_{h} = frac{GM_{z}}{(2R_{z})^{2}}\\frac{g_{h}}{g_{o}} = frac{frac{GM_{z}}{(2R_{z})^{2}}}{frac{GM_{z}}{R_{z}^{2}}}=frac{1}{4}\\g_{h} = frac{1}{4}g_{o}=frac{1}{4}cdot9,81frac{m}{s^{2}} approx2,45frac{m}{s^{2}}\\g_{h} = frac{GM_{z}}{(2R_{z})^{2}} = frac{1}{4}g_{o}approx2,45frac{m}{s^{2}}[/latex]
