# What is the SI unit of work is the newton?

May 18, 2017

$\text{Joule (J)}$

#### Explanation:

What is the SI unit of work? And are you asking if it's the Newton?

$\textcolor{w h i t e}{a a a a a a a a a a a a a a a} \text{Work} = F \cdot \mathrm{dc} o s \theta$

Where
$\text{F = Force} \left(N \mathmr{and} \frac{k g \cdot m}{s} ^ 2\right)$

$\text{d = displacement (m)}$

$\cos \theta = \text{angle between the applied force and displacement}$

$- - - - - - - - - - - - - - - - - - - - -$

$W = \textcolor{m a \ge n t a}{\text{F"*color(blue)"d}} \cos \theta$

$W = \textcolor{m a \ge n t a}{\text{N"*color(blue)"m"->color(magenta)(((kg*m)/s^2))*color(blue)"m}}$

becomes...

$W = \frac{k g \cdot {m}^{2}}{s} ^ 2$

so...

$1 \text{ Joule} = N \cdot m = \frac{k g \cdot {m}^{2}}{s} ^ 2$

But scientists would rather use $\text{Joules (J)}$ than write out $\frac{k g \cdot {m}^{2}}{s} ^ 2$