J (Joule) is the unit of work in the International System of Units (SI). It
is defined as 1 joule = 1 N·m (Newton-meter).
kg·m²/s² is the unit of work because it can be derived from the definition
of work as force multiplied by distance. Since force is measured in Newtons
(N), and a Newton is equal to kg·m/s², multiplying force by distance (in
meters) gives kg·m²/s², which is equivalent to 1 joule.
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