Soumendra Nath Thakur
ORCiD: 0000-0003-1871-7803
27-08-2024
This expression a ∝1/Mᴍ, describes that acceleration a is inversely proportional to the matter mass Mᴍ when a force F is acting on the object. In classical mechanics, the matter mass Mᴍ is considered invariant, meaning it does not change.
Given an object with a constant or invariant mass, when a fixed force is applied, the acceleration experienced by the object varies inversely with its mass. Consequently, for the same applied force, the object's apparent mass—referred to as its 'effective mass'—affects its acceleration:
This perception is influenced by the object's interaction with the applied force. A lighter object (with a smaller effective mass) will experience greater acceleration, while a heavier object (with a larger effective mass) will experience lesser acceleration. The invariant mass remains constant. Thus, the concept of 'effective mass' is crucial, as it represents the apparent mass of the object in interaction with mechanical forces in motion or gravitational forces in a gravitational potential. This phenomenon is further detailed in the following discussion:
Enhancing Newton's Second Law of Motion:
Newton's second law of motion asserts that an object's acceleration is directly proportional to the net force acting on it and inversely proportional to its mass. When 'effective mass' is considered, this law incorporates an additional concept: 'effective acceleration.'
The effective mass modifies the system's dynamics by changing the system's resistance to acceleration. For a given applied force, an object with effective mass will experience greater or lesser accelerations compared to an object with regular mass. This can be understood as a form of mechanical advantage, where varying forces are required to achieve specific levels of acceleration. Essentially, the system's resistance to acceleration is optimized, which enhances the dynamics of motion.
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