# If the length of a 26 cm spring increases to 58 cm when a 4 kg weight is hanging from it, what is the spring's constant?

Apr 6, 2016

$k = 122 , 63 \frac{N}{m}$

#### Explanation:

${x}_{1} = 26 c m$
${x}_{2} = 58 c m$
$\Delta x = 32 c m = 0 , 32 m$

$F = G = m \cdot g = 4 \cdot 9 , 81 = 39 , 24 N$

$F = k \cdot \Delta x$
$39 , 24 = k \cdot 0 , 32$

$k = \frac{39 , 24}{0 , 32}$

$k = 122 , 63 \frac{N}{m}$