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Newton's second law of motion is succinctly expressed with the formula that states the force acting on an object is equal to the mass of that object multiplied by its acceleration. This relationship highlights the direct connection between the force, mass, and acceleration in mechanics.

In this context, if a greater mass is acted upon by a constant force, the resulting acceleration will be less, illustrating the principle that acceleration is inversely proportional to mass when force is constant. Conversely, for a given mass, increasing the strength of the applied force will result in greater acceleration. This foundational concept is crucial in understanding how forces influence the motion of objects, making it a cornerstone of classical mechanics.