The equation F = dp/dt is a modern formulation of Newton's Second Law of Motion, which states that force (F) is the rate of change of momentum (p) with respect to time (t). This relationship is derived from the definition of momentum, where p = mv (momentum equals mass times velocity). The proof of F = m*a follows directly from substituting p into the equation, confirming that force equals mass times acceleration (F = ma). This foundational concept is critical in classical mechanics.
PREREQUISITESStudents of physics, educators teaching classical mechanics, and anyone interested in the foundational principles of motion and force in the context of Newtonian physics.
NooDota said:Homework Statement
I was wondering how do you prove f = m*a, and my teacher said since F = dp/dt and p = m*v then F is m*a
But where did F = dp/dt come from?
Does it have a mathematical proof?