(d) Here, $k = \frac{F}{x} = \frac{80}{0.2} = 400\ Nm^{- 1}$ $T = 2\pi\sqrt{\frac{m}{k}}$ $= 2\pi\sqrt{\frac{0.01}{400}}$ $= \frac{\pi}{100} = 0.03142\ s$
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Ph.D. in Physics with 19+ years of teaching experience.