Work

Definition: Work

The work $W$ done by a force $\mathbf{F}$ exerted on a point mass as it moves along a path $\mathcal{C}$ is the line integral of $\mathbf{F}$ along $\mathcal{C}$.

$$W\stackrel{\text{def}}{=}{\int }_{\mathcal{C}}\mathbf{F}\cdot \mathrm{d}\mathbf{r}={\int }_{t_1}^{t_2}\mathbf{F}\cdot \mathbf{v}\mathrm{dt}$$

Unit of Measurement: Joule

The SI-Unit of Work is the Joule:

$$\left[\mathrm{J}=\mathrm{N}\cdot \mathrm{m}\right]$$