> [!summary] A joule is the unit of energy or work. > Dimensional Analysis: $\text{{[J]}}=[ML^2T^{-2}]$ >[!info]+ Read Time **⏱ 1 min** # Definition A joule is the unit of energy or work. It's the energy used to move a 1 [[Newton|newton]] force 1 meter. $\begin{array}{c} \text{1 joule}= \text{1 newton} \cdot \text{1 meter} \\ \text{J} = \text{N}\cdot m \end{array} $ # Dimensional Analysis > [!warning] Assumptions Assume the standard quantity units for [[Dimensional Analysis|dimensional analysis]] As well assume the units for a [[Newton|newton]] is $[MLT^{-2}]$ $ \begin{align*} \text{J} &= [\text{N}] \cdot [m] \\ &= [MLT^{-2}] \cdot [L] \\ &= [ML^2T^{-2}] \end{align*} $