# 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 ?

Apr 17, 2018

$110.9$ joules

#### Explanation:

Work is expressed through the equation,

$W = F \cdot d \cdot \cos \theta$

• $F$ 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 $4 \setminus \text{kg"*9.8 \ "m/s"^2=39.2 \ "N}$.

And so,

$W = 39.2 \setminus \text{N"*4 \ "m} \cdot \cos \left(\frac{\pi}{4}\right)$

$= \frac{156.8 \sqrt{2} \setminus \text{N m}}{2}$

$= 78.4 \sqrt{2} \setminus \text{J}$

$\approx 110.9 \setminus \text{J}$