Two bodies of mass $m_1 = 100$ kg and $m_2 = 200$ kg are at a distance $r = 2$ m from each other. Find the gravitational force of attraction between them. The gravitational constant is $G = 6.67 \cdot 10^{-11}$ N·m²/kg².
The law of universal gravitation:
$$F = G \frac{m_1 m_2}{r^2} = 6.67 \cdot 10^{-11} \cdot \frac{100 \cdot 200}{2^2} = 6.67 \cdot 10^{-11} \cdot \frac{20000}{4}$$
$$F = 6.67 \cdot 10^{-11} \cdot 5000 \approx 3.34 \cdot 10^{-7} \text{ N}$$
$F \approx 3.34 \cdot 10^{-7}$ N