Oblicz masę Ziemi jeżeli promień Ziemi=6370 a przyspieszenie g=9,81 m/s2=10 m/s2.

Fg = F [latex]mg = frac{GmM_z}{R_z^2} /: m [/latex] g = 10 m/s^2 = 10 N/kg Rz = 6370 km = 6,37 *10⁶ m G = 6,67 *10⁻¹¹ N*m²/kg² [latex]g = frac{GM_z}{R_z^2} /* R_z^2 gR_z^2 = GM_z / : G[/latex] [latex]M_z = frac{gR_z^2}{G} [/latex] [latex]M_z = frac{10 frac{N}{kg } * (6,37 *10^6 m)^2 }{6,67 *10 ^{-11} frac{N*m^2}{kg ^2} } = frac{405,769 *10 ^{12} frac{N*m^2}{kg } }{6,67 *10 ^{-11} frac{N*m^2}{kg ^2} } = 60,8 *10 ^{23} kg = 6 *10 ^{24} kg[/latex]