Force Interaction Expression

The question asks us to identify the physical law represented by the mathematical expression $F_{AB} + F_{BA} = 0$. Here, $F_{AB}$ represents the force exerted by body A on body B, and $F_{BA}$ represents the force exerted by body B on body A. These are forces acting between two interacting bodies.

Newton's Third Law Principle

Newton's Third Law of Motion is the fundamental principle governing the interaction between two bodies in terms of forces. This law states that for every action, there is an equal and opposite reaction.

Essentially, whenever one object exerts a force on a second object, the second object simultaneously exerts a force back on the first object. These two forces are always equal in magnitude and opposite in direction.

$F_{AB} + F_{BA} = 0$ Explained

Let's analyze the given expression:

$F_{AB} + F_{BA} = 0$

This equation can be rearranged to:

$F_{AB} = -F_{BA}$

This equality demonstrates that the force vector $F_{AB}$ exerted by A on B is precisely equal in magnitude to the force vector $F_{BA}$ exerted by B on A, but it acts in the exact opposite direction. This is the core concept of an action-reaction force pair as described by Newton's Third Law.

Bernoulli's Principle Relevance

Bernoulli's Principle is primarily concerned with fluid dynamics. It explains the relationship between pressure, velocity, and elevation in a fluid system. It does not directly describe the action-reaction forces between two separate physical bodies, making it an incorrect fit for the given expression.

Boyle's Law Relevance

Boyle's Law belongs to the study of gases. It states that, at a constant temperature, the pressure (P) of a gas is inversely proportional to its volume (V), often expressed as $P \propto 1/V$ or $PV = k$. This law relates properties of a gas and is unrelated to the action-reaction forces between two distinct objects.

Kepler's Laws Context

Kepler's Laws are foundational to understanding celestial mechanics and describe the motion of planets around the Sun. They deal with elliptical orbits, equal areas swept in equal times, and the relationship between orbital period and distance. These laws are specific to gravitational interactions in space and do not represent the general principle of action-reaction forces between any two bodies.

Law Conclusion

Considering the nature of the forces $F_{AB}$ and $F_{BA}$ and the expression $F_{AB} + F_{BA} = 0$, it perfectly aligns with the statement of Newton's law, specifically his Third Law of Motion concerning action-reaction pairs.