Equations · equation

Kinetic Energy

Mechanics · 1829

Equation
K = ½mv²
Field
Mechanics
Symbols
K kinetic energy, in joules · m mass · v speed
Year
1829

Significance

The energy of motion. Leibniz's vis viva of 1686 was mv²; the half arrived when Coriolis matched it to work in 1829, so that the work done accelerating a body equals exactly this. It is quadratic in speed, which is why a car at 100 km/h has four times the stopping energy of one at 50, and why the wind's power goes as the cube of its speed — this, times the mass arriving per second.

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From the Equations database in Notion, last edited 2026-08-18. This page is the row, rendered by the build; nothing on it is written by hand.