A block of mass is connected to an elastic spring of spring constant and oscillates…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A block of mass 0.1 kg0.1 \text{ kg} is connected to an elastic spring of spring constant 640 Nm−1640 \text{ Nm}^{-1} and oscillates in a medium of constant 10−2 kg s−110^{-2} \text{ kg s}^{-1}. The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to: (1) 2 s2 \text{ s} (2) 3.5 s3.5 \text{ s} (3) 5 s5 \text{ s} (4) 7 s7 \text{ s}

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