1. Understand the Formula
The force of gravity between two objects is given by Newton's Law of Universal Gravitation:
* F = (G * m1 * m2) / r²
where:
* F = force of gravity
* G = gravitational constant (6.674 × 10⁻¹¹ N⋅m²/kg²)
* m1 = mass of object 1 (14 kg)
* m2 = mass of object 2 (14 kg)
* r = distance between the centers of the objects (6 meters)
2. Plug in the Values
F = (6.674 × 10⁻¹¹ N⋅m²/kg² * 14 kg * 14 kg) / (6 m)²
3. Calculate
F ≈ 3.44 × 10⁻⁹ N
Therefore, the gravitational force between the two spherical masses is approximately 3.44 × 10⁻⁹ Newtons.