47. A 10.6-kg object oscillates at the end of a vertical spring that has a spring constant of 2.05 x 104 N/m. The effect of air resistance is represented by the damp- ing coefficient b = 3.00 N s/m. (a) Calculate the frequency of the damped oscillation. (b) By what per- centage does the amplitude of the oscillation decrease in each cycle? (c) Find the time interval that elapses while the energy of the system drops to 5.00% of its initial value.

47. A 10.6-kg object oscillates at the end of a vertical spring that has a spring constant of 2.05 x 104 N/m. The effect of air resistance is represented by the damp- ing coefficient b = 3.00 N s/m. (a) Calculate the frequency of the damped oscillation. (b) By what per- centage does the amplitude of the oscillation decrease in each cycle? (c) Find the time interval that elapses while the energy of the system drops to 5.00% of its initial value.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 13P: A 500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic...

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