1. **Problem Statement:** Calculate the gravitational force between two objects with masses $m_1 = 5$ kg and $m_2 = 10$ kg separated by a distance $r = 2$ m. 2. **Formula:** The gravitational force $F$ between two masses is given by Newton's law of universal gravitation: $$F = G \frac{m_1 m_2}{r^2}$$ where $G = 6.674 \times 10^{-11} \text{ N}\cdot\text{m}^2/\text{kg}^2$ is the gravitational constant. 3. **Substitute values:** $$F = 6.674 \times 10^{-11} \times \frac{5 \times 10}{2^2}$$ 4. **Calculate denominator:** $$2^2 = 4$$ 5. **Calculate numerator:** $$5 \times 10 = 50$$ 6. **Calculate force:** $$F = 6.674 \times 10^{-11} \times \frac{50}{4} = 6.674 \times 10^{-11} \times 12.5$$ 7. **Final multiplication:** $$F = 8.3425 \times 10^{-10} \text{ N}$$ **Answer:** The gravitational force between the two masses is approximately $8.34 \times 10^{-10}$ newtons.