This article traces the historical evolution of applied force equation from its origins with Aristotle to the widespread recognition of Sir Isaac Newton's foundational equation, 'F=ma'. The contributions of influential figures such as John Philoponus, Avicenna, and John Buridan are explored, highlighting the progression of our understanding of applied forces over time. The central insight of this study revolves around the conventional equation 'F=ma', which, while fundamental, lacks consideration of resistance forces encountered in real-world scenarios. This paper aims to consider both the force applied to an object and any opposing resistance forces it experiences. The proposed equation (F=ma+r) emphasizes that an applied force not only causes acceleration but must also overcome resistance forces to achieve that acceleration. This equation offers a more complete model for practical scenarios. Additionally, the suggested method for measuring resistance forces adds to its real-world utility. It highlights how science continually evolves to better describe the complexities of the physical world.