Zadanie 3 i 6 BŁAAAAGAAAM - daje 60 punktów!!!!

zad.3. Mm = 0,11 Mz = 0,11 * 6 *10²⁴ kg = 0,66 *10²⁴ kg = 6,6 *10²³ kg  Rm = 3394,5 km ≈ 3,4 *10⁶ m G = 6,67 *10⁻¹¹ N*m² /kg^2 V = ? [latex]V = sqrt{ frac{GM_M}{R_M} } [/latex] [latex]V = sqrt{ frac{6,67 *10 ^{-11} frac{N*m^2}{kg^2} * 6,6 *10 ^{23}kg }{3,4 *10^6m} } = sqrt{ frac{44,022 *10 ^{12} frac{N*m^2}{kg } }{3,4*10^6m} } = 3,6 *10^3 frac{m}{s} [/latex] [ N ] = [ kg * m/s² ] zad.6 m = 2000 kg =2 *10³ kg h = 400 km = 0,4 *10³ km = 0,4 *10⁶ m  Rz = 6,4  *10⁶ m M_z = 6 *10²⁴ kg F = ? R = Rz + h R = 6,4 *10⁶ m + 0,4 *10⁶ m = 6,8 *10⁶ m [latex]F = frac{GmM_z}{R^2} [/latex] [latex]F = frac{6,67 *10 ^{-11} frac{N*m^2}{kg^2 } * 2 *10^3 kg * 6 *10 ^{24} kg }{(6,8 *10^6 m )^2} = frac{80,04 *10 ^{16}N*m^2 }{46,24 *10 ^{12}m^2 } = 1,73 *10^4 N[/latex]