# How much work does it take to raise a 19 kg  weight 15 m ?

Dec 16, 2015

$2793 J$

#### Explanation:

Work is the vector dot product of the applied force and the displacement moved in the direction of the force.
$W = \vec{F} \cdot \vec{x}$.

The lifting force overcomes the downward weight force of the object and is given by $f = m g = 19 \times 9.8 = 186.2 N$

Assuming it is lifted directly upwards in a straight line, the force acts in the direction of the displacement, and hence the work done is

$W = 186 , 2 \cdot 15 = 2793 J$