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 is the mass of the first object (in kilograms)
* m2 is the mass of the second object (in kilograms)
* r is the distance between the centers of the two objects (in meters)
2. Plug in the Values
* m1 = 20 kg
* m2 = 100 kg
* r = 15 m
* G = 6.674 × 10⁻¹¹ N⋅m²/kg²
3. Calculate the Force
F = (6.674 × 10⁻¹¹ N⋅m²/kg² * 20 kg * 100 kg) / (15 m)²
F ≈ 5.93 × 10⁻⁹ N
Therefore, the gravitational force between the two masses is approximately 5.93 × 10⁻⁹ Newtons.
Important Note: The gravitational force between everyday objects like these is extremely small. This is why we don't typically notice the gravitational attraction between objects around us.
