Understanding the Formula
The gravitational force between two objects is calculated using Newton's Law of Universal Gravitation:
* F = G * (m1 * m2) / r²
Where:
* F is the force of gravity
* G is the gravitational constant (approximately 6.674 x 10⁻¹¹ N⋅m²/kg²)
* m1 and m2 are the masses of the two objects
* r is the distance between the centers of the two objects
Calculation
1. Plug in the values:
* m1 = 1 kg
* m2 = 1 kg
* r = 1 meter
* G = 6.674 x 10⁻¹¹ N⋅m²/kg²
2. Substitute into the formula:
* F = (6.674 x 10⁻¹¹ N⋅m²/kg²) * (1 kg * 1 kg) / (1 m)²
3. Calculate:
* F = 6.674 x 10⁻¹¹ N
Result
The gravitational force between two 1 kg bodies that are 1 meter apart is approximately 6.674 x 10⁻¹¹ Newtons. This force is incredibly small, which is why we don't usually notice the gravitational attraction between everyday objects.
