Answer
$m=0.20$ kg
Work Step by Step
$T=2\pi\sqrt\frac{m}{K}$
After squaring both sides and re-arranging, we obtain:
$m=(\frac{T}{2\pi})^2K$
From graph, we find that:
$T=0.20s$
We plug in the known values in the formula to obtain:
$m=(\frac{0.20}{2(3.1416)})^2(200)$
$m=0.20$ kg