The law of motion that states an object acted on by a net force will accelerate in the direction of the force is Newton's Second Law of Motion.

Here's a breakdown:

* Newton's Second Law of Motion: This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In simpler terms, the more force you apply to an object, the faster it will accelerate. The more massive an object is, the less it will accelerate for a given force.

Formula:

* F = ma

* F represents the net force acting on the object

* m represents the mass of the object

* a represents the acceleration of the object

This law is fundamental to understanding how forces cause motion and is a cornerstone of classical mechanics.