If the length of a 58 cm spring increases to 81 cm when a 9 kg weight is hanging from it, what is the spring's constant?

Feb 4, 2016

$K = 383 , 859565217$ $\frac{N}{m}$

Explanation:

$\Delta X = 81 - 58 = 23$ $c m$
$23 c m = 23 \cdot {10}^{-} 2 = 0 , 23$ $m e t e r s$
$F = m \cdot g$
$g = 9 , 81$
$F = 9 \cdot 9 , 81 = 88 , 29$$N$
$F = - K \cdot \Delta x$
$88 , 29 = K \cdot 0 , 23$
$K = \frac{88 , 29}{0 , 23}$
$K = 383 , 859565217$ $\frac{N}{m}$