Question

What is the SI unit of work is the newton?

Answer 1

`"Joule (J)"`

Explanation:

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

`color(white)(aaaaaaaaaaaaaaa)"Work" = F*dcostheta`

Where
`"F = Force" (N or (kg*m)/s^2)`

`"d = displacement (m)"`

`costheta = "angle between the applied force and displacement"`

`---------------------`

`W = color(magenta)"F"*color(blue)"d"costheta`

`W = color(magenta)"N"*color(blue)"m"->color(magenta)(((kg*m)/s^2))*color(blue)"m"`

becomes...

`W = (kg*m^2)/s^2`

so...

`1" Joule" = N*m = (kg*m^2)/s^2`

But scientists would rather use `"Joules (J)"` than write out `(kg*m^2)/s^2`