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# The unit of power in terms of unit of energy is ____.

Last updated date: 07th Sep 2024
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Hint: Convert the mathematical formula of power into base units in the MKS system.

The international System of units (SI) is the modern form of the metric system. It is the only system of measurement with official status in nearly every country in the world. It comprises a coherent system of units of measurement starting with seven base units. And the other units which are defined in terms of seven base units are called derived units.
The seven base units are as follows –
 Symbol Name Quantity s Second Time m metre Length kg kilogram mass A ampere Electric current K kelvin Thermodynamic temperature mol mole Amount of substance cd candela Luminous intensity

Power is a derived quantity. Power is defined as energy transferred or converted per unit time.
$P=\dfrac{E}{t}$
The SI unit of energy (E) is J. So the dimension of power is $\dfrac{J}{s}$ and $\dfrac{J}{s}$ is known as Watt. Hence, the unit of power in terms of units of energy is Joule/Second .

\begin{align} & P=\dfrac{E}{t} \\ & E=F\times d \\ & E=kgm{{s}^{-2}}m=kg{{m}^{2}}{{s}^{-2}} \\ & P=\dfrac{kg{{m}^{2}}{{s}^{-2}}}{s}=kg{{m}^{2}}{{s}^{-3}} \\ \end{align}