Question

How much work would it take to push a `4 kg` weight up a `4 m` plane that is at an incline of `pi / 4`?

Answer 1

`110.9` joules

Explanation:

Work is expressed through the equation,

`W=F*d*costheta`

• `F` is the force in newtons

• `d` is the distance moved in meters

• `theta` is the angle of incline

The force here is the weight of the box, which is `4 \ "kg"*9.8 \ "m/s"^2=39.2 \ "N"`.

And so,

`W=39.2 \ "N"*4 \ "m"*cos(pi/4)`

`=(156.8sqrt(2) \ "N m")/2`

`=78.4sqrt(2) \ "J"`

`~~110.9 \ "J"`