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 gravitational force (in Newtons)
* G is the gravitational constant (approximately 6.674 x 10⁻¹¹ N⋅m²/kg²)
* m1 and m2 are the masses of the objects (in kilograms)
* r is the distance between the centers of the objects (in meters)
Calculations
1. Identify the values:
* m1 = 100 kg
* m2 = 100 kg
* r = 1 meter
* G = 6.674 x 10⁻¹¹ N⋅m²/kg²
2. Plug the values into the formula:
F = (6.674 x 10⁻¹¹ N⋅m²/kg²) * (100 kg * 100 kg) / (1 m)²
3. Calculate the force:
F ≈ 6.674 x 10⁻⁷ N
Result
The gravitational force between two 100 kg boxes separated by 1 meter is approximately 6.674 x 10⁻⁷ Newtons.
Important Note: This force is incredibly small! It's much weaker than the force of gravity exerted by the Earth on the boxes. You wouldn't be able to feel this gravitational attraction between the boxes.
