# How much work does it take to raise a 9 kg  weight 12 m ?

May 20, 2018

$1058.4$ joules

#### Explanation:

Since we are raising up the weight, the total energy transferred (work done) on the weight will be the gain in gravitational potential energy of the weight.

Gravitational potential energy is given by the equation,

$\text{GPE} = m g h$

where:

• $m$ is the mass of the object in kilograms

• $g$ is the gravitational acceleration, which is around $9.8 \setminus {\text{m/s}}^{2}$ on Earth

• $h$ is the height raised in meters

So, we get:

$\text{GPE"=9 \ "kg"*9.8 \ "m/s"^2*12 \ "m}$

$= 1058.4 \setminus \text{J}$