Answer
$K=245\frac{N}{m}$
Work Step by Step
According to Hook's law:
$F=Kx$
Here, $F=w=mg$
Hence, $mg=Kx$
This can be rearranged as:
$K=\frac{mg}{x}$
We plug in the known values to obtain:
$K=\frac{(4)(9.8)}{0.160}$
$K=245\frac{N}{m}$