1. Understand the Equation:
The force of gravitational attraction between two objects is given by Newton's Law of Universal Gravitation:
F = (G * m₁ * m₂) / r²
Where:
* F is the force of attraction
* G is the gravitational constant (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
2. Plug in the Values:
* m₁ = 5.2 kg (mass of the large ball)
* m₂ = 0.054 kg (mass of the small ball)
* r = 0.055 m (distance between their centers)
* G = 6.674 x 10⁻¹¹ N m²/kg²
3. Calculate:
F = (6.674 x 10⁻¹¹ N m²/kg² * 5.2 kg * 0.054 kg) / (0.055 m)²
4. Solve for F:
F ≈ 6.8 x 10⁻⁹ N
Therefore, the force of attraction between the two lead balls is approximately 6.8 x 10⁻⁹ Newtons.
