Home/Basic Physics/Work, energy and power/Work of a variable force6. Work, energy and powerWork of a variable forceIn 6. Work, energy and powerFormulaCopy LaTeXW=∫r⃗1r⃗2F⃗⋅dr⃗W=\int_{\vec r_1}^{\vec r_2}\vec F\cdot d\vec rW=∫r1r2F⋅drIn one dimensionCopy LaTeXW=∫x1x2Fx(x) dxW=\int_{x_1}^{x_2}F_x(x)\,dxW=∫x1x2Fx(x)dxTagsenergyphysicsphysics formulaworkwork energy powerDetailThe work of a variable force is the integral of the force along the path.Explore the ideaExplore the ideaFound an error? Contact us.Related formulasRelatedWork of a constant forceW=F⃗⋅d⃗=FdcosθW=\vec F\cdot\vec d=Fd\cos\thetaW=F⋅d=FdcosθOpen formulaOpen in sectionRelatedKinetic energyK=12mv2K=\frac12mv^2K=21mv2Open formulaOpen in sectionRelatedForce from potential energyFx=−dUdxF_x=-\frac{dU}{dx}Fx=−dxdUOpen formulaOpen in section