Gravitational Force Formula

The gravitational force between two objects is given by the equation:

F = G * (m1 * m2) / r^2

where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.

Explanation

The statement "Gravitational force = Gm1m2/r^2" is true because it represents the formula for calculating the gravitational force between two objects. Here is a detailed explanation of each component of the formula:

1. G: The gravitational constant is denoted by G and has a value of approximately 6.67430 × 10^-11 N(m/kg)^2. It is a fundamental constant in physics that determines the strength of the gravitational force.

2. m1 and m2: These variables represent the masses of the two objects involved in the gravitational interaction. The gravitational force is directly proportional to the product of their masses. As the masses increase, the gravitational force between the objects also increases.

3. r: The distance between the centers of mass of the two objects is denoted by r. The gravitational force is inversely proportional to the square of the distance between the objects. As the distance increases, the gravitational force decreases.

4. F: The gravitational force is the force of attraction between the two objects. It acts along the line connecting their centers of mass and is always an attractive force.

Conclusion

In summary, the equation "Gravitational force = Gm1m2/r^2" is true and represents the formula for calculating the gravitational force between two objects. It takes into account the gravitational constant, the masses of the objects, and the distance between them. By understanding this formula, we can quantitatively analyze and predict the gravitational interactions between various objects.