Answer
$3.2 \times 10^2 N/m$.
Work Step by Step
Use equation 11-6a to relate the period T=2.0s and the mass of m=32kg..
$$T=2 \pi \sqrt{\frac{m}{k}}$$
$$k=4 \pi^2\frac{m}{T^2}=4 \pi^2\frac{32kg}{(2.0s)^2} \approx 3.2 \times 10^2 N/m $$
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