A block of mass \( 1 \mathrm{~kg} \) attached to a spring is made to oscillate with an initial a....

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A block of mass \( 1 \mathrm{~kg} \) attached to a spring is made to oscillate with an initial amplitude of \( 12 \mathrm{~cm} \). After 2
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minutes the amplitude decreases to \( 6 \mathrm{~cm} \). Determine
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the value of the damping constant for this motion. (take \( \ln 2=0.693 \) )
(1) \( 0.69 \times 10^{2} \mathrm{~kg} \mathrm{~s}^{-1} \)
(2) \( 3.3 \times 10^{2} \mathrm{~kg} \mathrm{~s}^{-1} \)
(3) \( 1.16 \times 10^{-2} \mathrm{~kg} \mathrm{~s}^{-1} \)
(4) \( 5.7 \times 10^{-3} \mathrm{~kg} \mathrm{~s}^{-1} \)


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