# How much work would it take to push a  8 kg  weight up a  15 m  plane that is at an incline of  pi / 4 ?

Work $W = 831.5575747 \text{ }$joules

#### Explanation:

The given data are
mass $m = 8 \text{ }$kg
angle $\theta = \frac{\pi}{4}$

distance $d = 15 \text{ }$meters

Let $F$ be the force required to push the object up the plane

the working equation

$F = m g \cdot \sin \theta$
$F = 8 \cdot \left(9.8\right) \cdot \sin \left(\frac{\pi}{4}\right)$
$F = 55.43717165 \text{ }$N

Solve for the work $W$

$W = F \cdot d$
$W = 55.43717165 \left(15\right)$
$W = 831.5575747 \text{ }$Joules

God bless....I hope the explanation is useful.