Question

If the length of a `34 cm` spring increases to `45 cm` when a `5 kg` weight is hanging from it, what is the spring's constant?

Answer 1

`K=445.91" "N/m`

Explanation:

`F=mg`
`F=K*Delta x`
`mg=K*Delta x`

`m=5" "kg`
`x_1=34" " cm`
`x_2=45" "cm`
`Delta x=x_2-x_1`
`Delta x=45-34`
`Delta x=11" "cm`
`Delta x=0.11" "m`

`5*9.81=0.11*K`

`K=(5*9.81)/(0.11)`

`K=445.91" "N/m`