Question

How much work would it take to push a `4 kg` weight up a `12 m` plane that is at an incline of `pi / 6`?

Answer 1

I found: `235.2J`

Explanation:

I considered the following diagram:

Here I imagine the object moving up at constant velocity having zero acceleration.
From the equations of Newton's Law we get:

`F=W_x=mg*sin(pi/6)=4*9.8*0.5=19.6N`

We now can evaluate the work done as:

`W=vecF*vecd=F*d` (force and displacement in the same direction).

Where `d` represents the displacement. So:
`W=19.6*12=235.2J`.