# How much work would it take to push a  12 kg  weight up a  3 m  plane that is at an incline of  pi / 3 ?

Work $W = F \cdot s = 407.378 \text{ }$Joules

#### Explanation:

Let $F$ the force in the direction of the inclined plane at $\frac{\pi}{3}$
Given mass $m = 12 \text{ }$kg
distance $d = 3 \text{ }$meters
Acceleration due to gravity $g = 9.8 \text{ }$m/s^2#

The weight $W$:

$W = m g = 12 \cdot \left(9.8\right) = 117.6 \text{ }$Newton

The working equation

$F \sin \left(\frac{\pi}{3}\right) = W$

solving for $F$

$F = \frac{W}{\sin \left(\frac{\pi}{3}\right)} = \frac{117.6}{\sin \left(\frac{\pi}{3}\right)} = 135.793 \text{ }$Newtons

Solve for the work $W$

$W = F \cdot d = 135.793 \left(3\right) = 407.378 \text{ }$Joules

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