# A balanced lever has two weights on it, one with mass 8 kg and one with mass 20 kg. If the first weight is  4 m from the fulcrum, how far is the second weight from the fulcrum?

Mar 13, 2016

$x = 1 , 6 m$

#### Explanation:

${F}_{1} \cdot A E = {F}_{2} \cdot B E$
$8 \cdot \cancel{9 , 81} \cdot \cancel{4} = \cancel{20} \cdot \cancel{9 , 81} \cdot x$
$8 = 5 \cdot x$
$x = \frac{8}{5}$
$x = 1 , 6 m$