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Part of JME-03 — Work, Energy & Power

Dimensional Analysis of Energy and Power

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QuantityFormulaSI UnitDimension
Work/EnergyF*dJoule (J)[ML^2T^{-2}]
KE(1/2)mv^2J[ML^2T^{-2}]
PE (gravitational)mghJ[ML^2T^{-2}]
PE (elastic)(1/2)kx^2J[ML^2T^{-2}]
PowerW/t = FvWatt (W)[ML^2T^{-3}]
Spring constantF/xN/m[MT^{-2}]
Energy densityE/VJ/m^3[ML^{-1}T^{-2}]

Unit conversions: 1 kWh = 3.6 * 10^6 J = 3.6 MJ 1 eV = 1.6 * 10^{-19} J 1 HP = 746 W 1 calorie = 4.186 J

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