To show a particle is free means that it is not subject to any external forces or constraints. It is able to move and interact with other particles without any restrictions or limitations.
To determine if a particle is free, one can look at the forces acting on it. If there are no external forces acting on the particle, then it can be considered free. Additionally, the particle's motion and interactions with other particles can also indicate if it is free.
Showing that a particle is free is important in many scientific fields, such as physics and chemistry. It allows for a better understanding of the particle's behavior and interactions and can aid in the development of theories and models.
There are several methods used to show a particle is free, including observing its motion and interactions, analyzing the forces acting on it, and conducting experiments in controlled environments.
It is debated among scientists whether a particle can ever be considered completely free. Some argue that there are always external influences that can affect a particle's motion and interactions, while others believe that in certain circumstances, a particle can be considered free. It ultimately depends on the specific context and definition of "free".