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A damped harmonic oscillator consists of a block of mass 5 kg and a spring with spring constant k = 9 N/m. Initially, the system

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A damped harmonic oscillator consists of a block of mass 5 kg and a spring with spring constant k = 9 N/m. Initially, the system oscillates with an amplitude of 33 cm. Because of the damping, the amplitude loses 65% of its initial value by the end of four oscillations. (a) What is the value of the damping constant, I)? (Assume the period of the damped oscillator is equal to that of an undamped one) kg/s (b) What percentage of initial energy has been lost during these four oscillations? %

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