zad.1. m₁ = 20g = 0,02 kg = 2*10⁻² kg m₂ = 10 g = 0,01 kg = 10⁻² kg r = 4 cm = 0,04 m = 4*10⁻² m G = 6,67 *10⁻¹¹ N * m²/kg² F = ? F = G * m₁*m₂/r² F = 6,67 *10⁻¹¹ N * m²/kg² * 2 *10⁻²kg * 10⁻² kg /(4 *10⁻² m )² F = 13,34 *10⁻¹⁵ N * m² / 16 *10⁻⁴ m² F ≈ 0,834 *10⁻¹¹ N ≈ 8,34 *10⁻¹⁰ N zad.2. M = 10 kg m = 50 g = 0,05 kg = 5 *10⁻² kg r = 1 cm = 0,01 m = 10⁻² m G = 6,67 *10⁻¹¹ N * m²/kg² F = ? F = G * m₁*m₂/r² F = 6,67 *10⁻¹¹ N * m²/kg² * 10 kg *5 *10⁻²kg /(10⁻² m )² F = 333,5 *10⁻¹³ N*m²/10⁻⁴ m² F = 333,5 *10⁻⁹ N zad.3. M = 6 *10²⁴ kg R = 6370 km = 6370000 m = 6,37 *10⁶ m G = 6,67 *10⁻¹¹ N * m²/kg² g = ? m*g = G * M *m/R² g = G * M /R² g = 6,67 *10⁻¹¹ N * m²/kg² * 6 *10²⁴ kg /(6,37 *10⁶ m)² g = 40,02 *10¹³ N * m²/kg /40,48 *10¹² m² g ≈ 0,989 *10 N /kg g ≈9,89 kg * m/s² /kg g ≈ 9,89 m/s² zad.4. m₁ = 10 g = 0,01 kg = 10⁻² kg m₂ = 5 kg r = 3 cm = 0,03 m = 3 *10⁻² m G = 6,67 *10⁻¹¹ N * m²/kg² F = ? F = G * m₁*m₂/r² F = 6,67 *10⁻¹¹ N * m²/kg² * 5 kg *10⁻²kg /(3 *10⁻² m )² F = 33,35 *10⁻¹³ N * m² /9 *10⁻⁴ m² F ≈ 3,7 *10⁻⁹ N
