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.

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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.
Transcribed Image Text: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.
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