he universal law of gravitation describes the force of gravity between two bodies. What does it say about the strength of the gravitational field? How does the size of the object affect the use of the gravitational field equation?

The gravitational field strength g=Gm/r^2 (or acceleration due to gravity).

The universal law of gravitation, formulated by Sir Isaac Newton, provides a mathematical relationship between the strength of the gravitational force and the masses of two objects, as well as the distance between them. It states that every particle of matter in the universe attracts every other particle with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Regarding the strength of the gravitational field, the universal law of gravitation indirectly describes it. The gravitational field is a vector field that represents the gravitational force experienced by an object at any given point in space. The strength of the gravitational field is determined by the mass of the object creating the field. Specifically, the larger the mass of an object, the stronger its gravitational field will be.

Now, in terms of the gravitational field equation and the size of the object, it is important to note that the universal law of gravitation does not have a specific equation related to the gravitational field itself. However, the equation can be used to calculate the force between two objects, which is directly related to the gravitational field.

To calculate the force of gravity between two objects using the universal law of gravitation, you can use the equation:

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

Where:
- F represents the force of gravity between the two objects.
- G is the gravitational constant (approximately 6.67430 x 10^-11 N m^2 kg^-2).
- m1 and m2 are the masses of the two objects.
- r represents the distance between the centers of mass of the two objects.

In this equation, the size of the objects can affect the usage in two ways:
1. Mass: The masses of the objects, m1 and m2, play a significant role in determining the gravitational force. Objects with larger masses will result in a stronger gravitational force between them.
2. Distance: The distance, r, between the objects is squared in the denominator, which means that as the distance increases, the gravitational force decreases. So, the size of the objects' separation affects the strength of the force as well.

In summary, the universal law of gravitation describes the force of gravity between two bodies and indirectly relates to the strength of the gravitational field. The mass of the objects in question affects the usage of the gravitational field equation by determining the strength of the force, while the distance between them affects the strength of the force as well.