Understanding the Concepts
* Newton's Law of Universal Gravitation: This law states that every particle in the universe attracts every other particle with a force that is:
* Proportional to the product of their masses
* Inversely proportional to the square of the distance between their centers.
* Gravitational Constant (G): This is a fundamental constant that represents the strength of gravitational attraction. Its value is approximately 6.674 × 10⁻¹¹ N⋅m²/kg².
Formula
The formula for gravitational force (F) is:
F = (G * m₁ * m₂) / r²
Where:
* F is the gravitational force
* G is the gravitational constant
* m₁ is the mass of the satellite (20000 kg)
* m₂ is the mass of the enemy (15000 kg)
* r is the distance between their centers (40 meters)
Calculation
1. Plug in the values:
F = (6.674 × 10⁻¹¹ N⋅m²/kg² * 20000 kg * 15000 kg) / (40 m)²
2. Calculate:
F ≈ 1.25 × 10⁻⁴ N
Result
The gravitational force between the satellite and the enemy is approximately 1.25 × 10⁻⁴ Newtons. This force is incredibly small, even though the masses are large. This is because the distance between them is relatively small compared to the scale of gravitational forces we experience on Earth.
