Work (constant force)⚠ unverified
Physics / Mechanics · Mechanical work done by a constant force over a distance
Parameters
| Input | Symbol | Unit | Default | Description |
|---|---|---|---|---|
| force | F | N | 10.0 | Applied force |
| distance | d | m | 2.0 | Distance moved along the force |
| Output | Symbol | Unit | Description |
|---|---|---|---|
| work | W | J | Work done |
The science & history
Understanding the Parameters
- $F$ — use the component of force parallel to the motion. Perpendicular forces do no work.
-
$d$ — path length of the point of application along the force direction (for a straight path, the displacement magnitude).
-
$W$ — energy transferred by the force. Positive $W$ (same sense as displacement) adds energy to the system under the usual sign convention for work by the force.
Derivation (Approaching a Proof)
Work is defined as the line integral $W = \int \mathbf{F}\cdot d\mathbf{r}$. For constant $F$ parallel to a straight displacement of length $d$,
$$W = F d.$$
By the work–energy theorem, net work on a particle equals its change in kinetic energy ($\Delta KE = W_{\mathrm{net}}$). Related: Power is work per time; Kinetic Energy and Potential Energy are energy forms that work can change.
History
The mechanical concept of work (force × distance) was clarified in the 19th century alongside the joule and energy conservation; it underpins engines, lifting, and every energy-method analysis.
Related Concepts: Kinetic Energy, Potential Energy, Power, Power From Force Velocity, Impulse
Notes: Registry calculator work (unverified). Constant, collinear force only — not variable $F$
or angled paths.