# How much work would it take to push a  1 kg  weight up a  1 m  plane that is at an incline of  (5pi) / 12 ?

Apr 4, 2018

$2.55 \setminus \text{J}$

#### Explanation:

We use the work equation, which states that,

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

• $F$ is the force in newtons

• $d$ is the distance moved in meters

• $\theta$ is the angle of incline

Therefore, the weight is: $1 \setminus \text{kg"*9.8 \ "m/s"^2=9.8 \ "N}$.

And so, the work done is:

$W = 9.8 \setminus \text{N"*1 \ "m} \cdot \cos \left(\frac{5 \pi}{12}\right)$

$= 9.8 \setminus \text{N} \cdot 0.26$

$\approx 2.55 \setminus \text{J}$