1. Understand the Formula
The gravitational force (F) between two objects is calculated using Newton's Law of Universal Gravitation:
F = (G * m1 * m2) / r²
Where:
* F is the gravitational force (in Newtons)
* G is the gravitational constant (approximately 6.674 × 10⁻¹¹ N m²/kg²)
* m1 and m2 are the masses of the two objects (in kilograms)
* r is the distance between the centers of the two objects (in meters)
2. Plug in the Values
* m1 = 14 kg
* m2 = 14 kg
* r = 6 m
* G = 6.674 × 10⁻¹¹ N m²/kg²
3. Calculate the Force
F = (6.674 × 10⁻¹¹ N m²/kg² * 14 kg * 14 kg) / (6 m)²
F ≈ 3.44 × 10⁻⁹ N
Therefore, the gravitational force between the two 14 kg spherical masses 6 meters apart is approximately 3.44 × 10⁻⁹ Newtons.
Important Note: Gravitational forces between everyday objects are incredibly weak. You wouldn't notice this force in a typical scenario.