A 2.0 kg object is attached to a horizontal spring of force constant 8.0 N/m. The object is started oscillating by pulling it 6.0 cm from its equilibrium position and releasing it so that it is free to oscillate on a frictionless horizontal air track. (The spring can apply both a compressing and stretching force.) You observe that after one complete cycle, its maximum displacement is now 5.8 cm. Assume that the object is subject to a damping force that is proportional to the velocity. What will the amplitude be after 10 seconds? (Give your answer in cm.) To bring the system to critical damping, what damping constant

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A 2.0 kg object is attached to a horizontal spring of force constant 8.0 N/m. The object is started oscillating by pulling it 6.0 cm from its equilibrium position and releasing it so that it is free to oscillate on a frictionless horizontal air track. (The spring can apply both a compressing and stretching force.) You observe that after one complete cycle, its maximum displacement is now 5.8 cm. Assume that the object is subject to a damping force that is proportional to the velocity. What will the amplitude be after 10 seconds? (Give your answer in cm.) To bring the system to critical damping, what damping constant would be needed? (Give your answer in Ns/m.)

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