Gravitational Force

Gravitational force is the attractive force between two masses, proportional to the product of their masses and inversely proportional to the square of the distance between their centers, described by Newton's law of universal gravitation.

The formula for gravitational force (F) is given by: $$F = G \frac{{m_1 m_2}}{{r^2}}$$ where G is the gravitational constant, $$m_1$$ and $$m_2$$ are the masses of the objects, and $$r$$ is the distance between their centers.

The gravitational constant (G) is a fundamental physical constant used in the calculation of gravitational force, approximately equal to $$6.674 \times 10^{-11} \text{ N m}^2/\text{kg}^2$$ .

Gravitational force increases with the increase in mass of either object. If the mass of one or both objects increases, the gravitational force between them increases.

Gravitational force decreases as the distance between two objects increases. Specifically, it is inversely proportional to the square of the distance.

The acceleration due to gravity at Earth's surface is approximately $$9.8 \, \text{m/s}^2$$ .

As altitude increases, the acceleration due to gravity decreases. For example, at 500 km above Earth's surface, the acceleration due to gravity is approximately $$8.43 \, \text{m/s}^2$$ .

The gravitational force acting on an object is equal to the mass of the object multiplied by the acceleration due to gravity: $$F = m \cdot g$$ .

The gravitational force between the two objects is approximately $$1.38 \times 10^{-5} \text{ N}$$ .

The gravitational force would increase.