Classical Physics

    

On the Kinetic Energy E_k=mv^2

Authors: Tai-Choon Yoon

The kinetic energy derived from Newton's equation of motion is obtained by integrating force over the distance traveled. Objects cannot move on their own. The motion of an object is the result of action-reaction. This can be said to be the same as interaction. Force is the source of interaction, and the result of interaction. So far, kinetic energy has been defined as E_k=1/2 mv^2, but it is the amount of energy corresponding to the area of a triangle, which is half of the total energy. This corresponds to the area on the x-axis in a Cartesian coordinate system. There is also an identical area on the y-axis. When these two are combined, it becomes the sum of the energy of forces in both directions, not the energy applied to a one-way force, which forces in both directions become E_k= mv^2.

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[v1] 2025-07-14 05:19:12

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