How much work does it take to raise a 23 kg  weight 11 m ?

Apr 1, 2017

$W = 2479.4 J$

Explanation:

$\text{Work}$ is formulated by:

$W = F \cdot d \cdot \cos \left(\theta\right)$

Where
$F = \text{force}$
$d = \text{displacement} , \mathmr{and}$
$\left(\theta\right) = \text{angle between the force and the displacement vector}$

In this scenario, a $\text{force}$ is being applied to an object to cause it to be $\mathrm{di} s p l a c e d$. Therefore, work was done on the object.

Since the angle between the force (the mass times acceleration due to gravity) and the displacement (11 meters) is ${0}^{\circ}$, and the cosine of ${0}^{\circ}$ is 1, we can calculate the work done to raise the object as follows,

$W = F \cdot d \cdot \cos \left(\theta\right)$
$W = \left(m \cdot g\right) \cdot d \cdot \cos \left(\theta\right)$
$W = \left(23 k g \cdot 9.8 \frac{m}{s} ^ 2\right) \cdot 11 m \cdot \cos \left({0}^{\circ}\right)$
$W = 2479.4 J$