# How much work does it take to raise a 31 kg  weight 86 m ?

Dec 18, 2015

$26.127 k J$
By definition, work is the vector dot product of the resultant force with the displacement moved in the direction of the resultant force. ie. $W = \int \vec{F} \cdot d \vec{x}$
$W = \left(31 \times 9.8\right) \times 86 = 26.127 k J$