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A 10.0 kg object oscillates at the end of a vertical spring that has a spring co

ID: 2245914 • Letter: A

Question

A 10.0 kg object oscillates at the end of a vertical spring that has a spring constant of 1.90 times 104 N/m. The effect of air resistance is represented by the damping coefficient b = 3.00 N·s/m. Calculate the frequency of the dampened oscillation. By what percentage does the amplitude of the oscillation decrease in each cycle? Find the time interval that elapses while the energy of the system drops to 3.50% of its initial value. Your response differs from the correct answer by more than 10%. Double check your calculations. s

Explanation / Answer

As we know that


E = E0e^(-(b/m)*t)


0.0350 = e^(-(3/10)*t)


t = 11.1747 sec

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