If the length of a $21 c m$ $21 cm$ spring increases to $36 c m$ $36 cm$ when a $8 k g$ $8 kg$ weight is hanging from it, what is the spring's constant?

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Answer 1 · 2016-05-17T06:39:52

$K = 523.2 \frac{N}{m}$ $K=523.2 " "N/m$

$Delta x=36-21=15 cm=0.15 m$
$G=m*g=8*9.81=78.48N" Force which it stretches the spring"$
$F=-K*Delta x " the sign '-' shows direction"$

$F:"force which it calls back"$
$K:"Spring constant"$

$-F=G$

$78.48=K*0.15$

$K=(78.48)/(0.15)$

$K=523.2 " "N/m$

If the length of a 21 cm21cm21 cm spring increases to 36 cm36cm36 cm when a 8 kg8kg8 kg weight is hanging from it, what is the spring's constant?