Potential energy from force

The potential energy of an object at a position is the negative of the work done by a conservative force along a path from a reference point to that position. It is used to find stored energy in gravitational, electric, and spring systems from the force acting on them.

V = -\int \boldsymbol{F} \cdot \mathrm{d} \boldsymbol{r}

What the symbols mean

potential energy (\mathrm{J})
force vector (\mathrm{N})
infinitesimal displacement vector along the path (\mathrm{m})

About this formula

  • FieldPhysics
  • TopicClassical mechanics
  • LevelHigh school
  • Also calledpotential energy definition, potential energy as negative work integral, potential energy from conservative force, potential energy integral of force, potential energy formula, work done against force potential
  • SourceWikidata Q155640

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