# Formula Mechanical Work Force    Distance    Angle

## Work

Unit
This is the energy that a body (e.g. a trolley) gains or loses when a force $$F$$ is applied TO the body or BY the body.

## Force

Unit
This is the force exerted by the body (work is done BY the body) or exerted on the body (work is done ON the body).

## Distance

Unit
Distance along which, the body exerts the force $$F$$ or along which, on the body the force $$F$$ is exerted. For example, if the force is applied to the body along a distance $$s$$, then the body gains kinetic energy.

## Angle

Unit
This is the angle enclosed by the force vector $$\boldsymbol{F}$$ and the displacement vector $$\class{red}{\boldsymbol{s}}$$.

If the force vector is orthogonal to the displacement vector, i.e. at a 90 degree angle, then the cosine is zero and so is the work done $$\Delta W = 0$$. If, on the other hand, the force vector points parallel to the displacement vector, the work done $$\Delta W$$ is maximum because then the cosine is one (maximum).