The Intriguing Gravitational Force Calculation
When dealing with gravitational force calculations between two objects, such as billiard balls in this case, it is essential to understand the relationship between mass, distance, and the gravitational constant. In the data provided for the 9354873 kg and 7389418 kg billiard balls separated by a distance of 384,399,861 m, the gravitational force can be determined by applying Newton's law of universal gravitation.
The Formula:
The formula for calculating gravitational force between two objects is:
F = GM1M2/r²
Where:
- F is the gravitational force
- G is the gravitational constant (6.67×10^-11 Nm²Kg^-2)
- M1 and M2 are the masses of the two objects
- r is the distance between the centers of the two objects
The Calculation:
Using the provided data:
- M1 = 9354873 kg
- M2 = 7389418 kg
- r = 384399861 m
By substituting these values into the formula, we can calculate the gravitational force.
F = 6.67×10^-11 × 9354873 × 7389418 / (384399861)²
F = 4610.77536 / (384399861)²
F = 3.12×10^-14 N
Therefore, the force of attraction between the two billiard balls is 3.12×10^-14 N.