Work by variable force in one dimension (W = ∫ F(x) dx)
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W = ∫ F(x) dx
What each symbol means
| Symbol | What it stands for |
|---|---|
| W | Work done by the force (J) |
| F(x) | Force as function of position along x (N) |
| x_i, x_f | Initial and final positions (m) |
When to use this
One-dimensional motion; force aligned with dx (or use component F_x). For graphs, signed area under F–x curve equals work.