Answer
Please see the work below.
Work Step by Step
According to Hooke's law
$F=Kx$
This can be rearranged as
$x=\frac{F}{K}$
$x=\frac{mg}{K}$
We plug in the known values to obtain:
$x=\frac{(6.7)(9.8)}{340}$
$x=0.19m$
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