# How much work would it take to push a  2 kg  weight up a  18 m  plane that is at an incline of  (5pi) / 12 ?

Work $W = 340.7786315 \text{ }$joules

#### Explanation:

We compute the force F needed to push the weight

$F = m g \sin \left(\frac{5 \pi}{12}\right) = 2 \left(9.8\right) \sin \left(\frac{5 \pi}{12}\right) = 18.9321462 \text{ }$N

The work $W$

$W = F \cdot d = 18.9321462 \cdot 18 = 340.7786315 \text{ }$joules

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