The Intriguing Gravitational Force Calculation

What is the process of calculating the gravitational force between two billiard balls based on the provided data? The gravitational force between two objects can be calculated using the formula F = GM1M2/r², where F represents the force of attraction, G is the gravitational constant, M1 and M2 are the masses of the two objects, and r is the distance between them. Let's delve deeper into the calculation based on the given data.

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.
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