> [!summary] A Newton is the unit of force > Dimensional Analysis: $[\text{N}]=[MLT^{-2}]$ >[!info]+ Read Time **⏱ 1 min** # Definition A newton is the SI unit of force. It's the force to push a 1 kilogram mass by $1\frac{m}{s^2}$. $ \begin{array}{c} \text{1 newton} = \text{1 kilogram}\cdot \text{1 meter per second sqaured} \\ \text{1 N} = kg \cdot \frac{m}{s^2} \end{array} $ # Dimensional Analysis > [!warning] Assumption Assume the standard quantity units for [[Dimensional Analysis|dimensional analysis]]. $ \begin{align*} [\text{N}] &= [kg] \cdot \frac{[m]}{[s^2]} \\ &= [M] \cdot \frac{[L]}{[T^2]} \\ &= [MLT^{-2}] \end{align*} $