Energy, Work & Power Formulas
A complete list of energy, work & power formulas, covering kinetic and potential energy, work, power, efficiency, and the work-energy theorem.
11 formulas. Use the interactive searcher to solve for any variable and convert units.
Open the interactive searcher →Work done
W = F·d·cosθ
W workJF forceNd displacementmθ anglerad
Kinetic energy
KE = ½·m·v²
KE kinetic energyJm masskgv velocitym/s
Gravitational PE
PE = m·g·h
PE potential energyJm masskgg gravitational accelerationm/s²h heightm
Elastic PE
PE = ½·k·x²
PE potential energyJk spring constantN/mx displacementm
Power
P = W / t
P powerWW workJt times
Power (force·velocity)
P = F·v
P powerWF forceNv velocitym/s
Efficiency
η = E_out / E_in
η efficiencyE_out useful energyJE_in input energyJ
Work–energy theorem
W = ΔKE
W workJΔKE change in kinetic energyJ
Power (average)
P̄ = ΔE / Δt
P̄ average powerWΔE energy changeJΔt times
Mechanical energy
E = KE + PE
E mechanical energyJKE kinetic energyJPE potential energyJ
Gravitational PE (orbital)
E = −G·M·m / (2·r)
E total energyJG gravitational constantN·m²/kg²M masskgm masskgr radiusm