# How much work would it take to push a  2 kg  weight up a  15 m  plane that is at an incline of  pi / 4 ?

Mar 29, 2018

Approximately $208 \setminus \text{J}$.

#### 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 in meters

• $\theta$ is the angle of incline

And so, we find that the force is the weight of the box.

Weight is given by,

$W = m g$

• $m$ is the mass in kilograms

• $g$ is the gravitational acceleration, which is approximately $9.8 \setminus {\text{m/s}}^{2}$

And so, we find that,

$W = 2 \setminus \text{kg"*9.8 \ "m/s"^2=19.6 \ "N}$

Then, the work done is:

$W = 19.6 \setminus \text{N"*15 \ "m} \cdot \cos \left(\frac{\pi}{4}\right)$

$= 294 \cdot \frac{\sqrt{2}}{2} \setminus \text{J}$

$\approx 208 \setminus \text{J}$