The factors that affect the ""magnitude"" of the non-contact force is the ""distance between"" the ""two objects"" or ""two bodies"". This is because of the fact that the ""magnitude"" of the object is ""inversely proportional"" to the ""square"" of the ""distance"" between them.

Factors affecting the magnitude of non-contact force:

Non-contact forces, also known as field forces, are forces that act on objects without any physical contact between them. These forces are essential in our daily lives and play a significant role in various natural phenomena. The magnitude of non-contact forces depends on several factors, which are explained in detail below:

1. Distance between objects:
The magnitude of non-contact forces, such as gravitational and electrostatic forces, depends on the distance between the objects involved. The force decreases as the distance between the objects increases. This relationship is described by Newton's law of universal gravitation and Coulomb's law for electrostatic forces.

2. Mass or charge of the objects:
The magnitude of the gravitational force between two objects depends on their masses. According to Newton's law of universal gravitation, the force is directly proportional to the product of their masses. Similarly, in the case of electrostatic forces, the magnitude depends on the charges of the objects involved. The force is directly proportional to the product of their charges.

3. Electric or magnetic field strength:
In the case of electromagnetic forces, such as the force between electrically charged objects or magnetic objects, the magnitude depends on the strength of the electric or magnetic field. The stronger the field, the greater the force.

4. Permittivity or permeability of the medium:
The magnitude of electromagnetic forces can also be influenced by the properties of the medium between the objects. For example, in the case of electrostatic forces, the magnitude depends on the permittivity of the medium, which is a measure of how easily the medium can transmit electric fields. Similarly, in the case of magnetic forces, the magnitude depends on the permeability of the medium, which is a measure of how easily the medium can transmit magnetic fields.

5. Presence of other objects:
The presence of other objects in the vicinity can also affect the magnitude of non-contact forces. These objects can influence the electric or magnetic fields, thereby altering the force between the original objects.

6. Relative orientation:
In some cases, the relative orientation of the objects can affect the magnitude of non-contact forces. For example, in the case of magnetic forces, the force depends on the alignment of the magnetic fields of the objects involved.

In conclusion, the magnitude of non-contact forces is dependent on various factors such as the distance between objects, mass or charge of the objects, electric or magnetic field strength, permittivity or permeability of the medium, presence of other objects, and relative orientation. Understanding these factors is crucial in studying and analyzing the behavior of non-contact forces in different situations.