# If the length of a 22 cm spring increases to 55 cm when a 7 kg weight is hanging from it, what is the spring's constant?

Apr 7, 2016

K=208,09" N/m

#### Explanation:

$G = m \cdot g \text{ "G=7*9,81" "G=68,67 " } N$

$\Delta x = 55 - 22 = 33 c m = 0 , 33 m$
$K : \text{spring constant}$
$G = K \cdot \Delta x$

$68 , 67 = K \cdot 0 , 33$

$K = \frac{68 , 67}{0 , 33}$

K=208,09" N/m