A \( 21.2 \mathrm{~kg} \) object oscillates at the end of a vertica...

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A \( 21.2 \mathrm{~kg} \) object oscillates at the end of a vertical
P spring that has a spring constant \( 20500 \mathrm{Nm}^{-1} \). The

W effect of air resistance is represented by the damping coefficient \( b=2 \mathrm{Ns} \mathrm{m}^{-1} \). Find the time interval that elapses while the energy of the system drops to \( 10 \% \) of its initial value (Given, \( \ln 10= \) 2.302)
(1) \( 34.4 \mathrm{~s} \)
(2) \( 12.2 \mathrm{~s} \)
(3) \( 24.4 \mathrm{~s} \)
(4) \( 8.9 \mathrm{~s} \)
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