A block of mass 0.003 kg is suspended from a spring of spring constant k = 10 N/m shown in the figure. Initially the block oscillates with the amplitude of 25.0 cm. Because of the presence of damping force f = -bv, the amplitude of the block falls to half of its initial value after the completion of 2 oscillations. Find: i) the value of b and ii) the amount of energy that has been lost during this time.

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
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A block of mass 0.003 kg is suspended from a spring of spring constant
k = 10 N/m shown in the figure. Initially the block oscillates with the
amplitude of 25.0 cm. Because of the presence of damping force f = -bv,
the amplitude of the block falls to half of its initial value after the
completion of 2 oscillations.
Find: i) the value of b and ii) the amount of energy that has been lost
during this time.
Transcribed Image Text:A block of mass 0.003 kg is suspended from a spring of spring constant k = 10 N/m shown in the figure. Initially the block oscillates with the amplitude of 25.0 cm. Because of the presence of damping force f = -bv, the amplitude of the block falls to half of its initial value after the completion of 2 oscillations. Find: i) the value of b and ii) the amount of energy that has been lost during this time.
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