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A damped harmonic oscillator consists of a block (m = 1.84 kg), a spring (k = 9.08 N/m), and a damping force (F = -bv). Initially, it oscillates with an amplitude of 24.1 cm; because of the damping, the amplitude falls to 0.789 of the initial value at the completion of 5 oscillations. (a) What is the value of b? (Hint: Assume that b2 << km.) (b) How much energy has been lost during these 5 oscillations?

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