# 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 ?

Jan 5, 2016

I found: $235.2 J$

#### 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:

$F = {W}_{x} = m g \cdot \sin \left(\frac{\pi}{6}\right) = 4 \cdot 9.8 \cdot 0.5 = 19.6 N$

We now can evaluate the work done as:

$W = \vec{F} \cdot \vec{d} = F \cdot d$ (force and displacement in the same direction).

Where $d$ represents the displacement. So:
$W = 19.6 \cdot 12 = 235.2 J$.