# How much work does it take to raise a 5 kg  weight 42 m ?

Jul 31, 2016

The work done against gravity is 2060 J

#### Explanation:

If we only consider work done against gravity we need to use this formula where $W$ is the work done, $F$ is the weight of the object and $d$ is the height through which the object is lifted:
$W = F d$

The weight of the object is given by:
$w = m g$

So then we combine our equations to give:
$W = m g \cdot d$
Otherwise written as $W = m g \Delta h$ (this is the gravitational potential energy equation).

Now substitute values to solve for $W$:
W = 5 × 9.81 × 42 = 2060 J