Understanding the Formula
The force of gravity 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 and m2 are the masses of the two objects (in kilograms)
* r is the distance between their centers of mass (in meters)
Applying the Formula
1. Identify the values:
* m1 (Dylan's mass) = 75 kg
* m2 (Sarah's mass) = 54 kg
* r (distance between their centers) = 45 meters (assuming you meant 45 meters, not just 45)
2. Plug the values into the formula:
* F = (6.674 × 10⁻¹¹ N⋅m²/kg²) * (75 kg * 54 kg) / (45 m)²
3. Calculate the result:
* F ≈ 1.33 × 10⁻⁸ N
The Result
The gravitational force between Dylan and Sarah is approximately 1.33 × 10⁻⁸ Newtons. This force is extremely small, which is why we don't usually notice the gravitational attraction between everyday objects.
