Newton's Law of Universal Gravitation
The force of gravity between two objects is given by:
* 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 their centers
Applying the Formula
1. Plug in the values:
* m1 = 1 kg
* m2 = 1 kg
* r = 1 m
* G = 6.674 x 10⁻¹¹ N⋅m²/kg²
2. Calculate:
* F = (6.674 x 10⁻¹¹ N⋅m²/kg²) * (1 kg * 1 kg) / (1 m)²
* F = 6.674 x 10⁻¹¹ N
Result
The magnitude of the gravitational force between two 1 kilogram bodies that are 1 meter apart is approximately 6.674 x 10⁻¹¹ Newtons.
Important Note: This force is incredibly small! It's a testament to how weak gravity is compared to other forces in the universe. You wouldn't be able to feel this force.
