Calculation of Effective mass and Gravitating mass: Extension to Classical mechanics

Calculation file attached: Here

Soumendra Nath Thakur

ORCiD: 0000-0003-1871-7803

27-08-2024

This expression F = (Mᴍ + Mᵉᶠᶠ)aᵉᶠᶠ, reflects an extended classical mechanics approach where the total force F is associated with both the matter mass Mᴍ and the effective mass Mᵉᶠᶠ. Here, the effective mass Mᵉᶠᶠ is introduced as an additional term that modifies the system's dynamics in motion. The effective acceleration aᵉᶠᶠ represents the combined effect of traditional acceleration and the influence of effective mass.

F = (Mᴍ + Mᵉᶠᶠ)aᵉᶠᶠ, Mᵉᶠᶠ generated when F acting in motion (v)

• F is the total force applied to the object, measured in Newtons N.
• Mᴍ is the matter mass of the object, representing its traditional inertial mass, measured in kilograms (kg).
• Mᵉᶠᶠ is the effective mass, which arises due to the interaction of the object with the applied force during motion, measured in kilograms (kg).
• aᵉᶠᶠ is the effective acceleration experienced by the object, which accounts for both the matter mass and the effective mass in the system, measured in meters per second squared (m/s²).
Calculation in attached file.

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