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A 1.44-g spider oscillates on its web, which has a damping

Chapter 13, Problem 85GP

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QUESTION:

Problem 85GP

A 1.44-g spider oscillates on its web, which has a damping constant of 3.30 × 10−5 kg/s. How long does it take for the spider's amplitude of osculation to decrease by 10.0 percent?

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QUESTION:

Problem 85GP

A 1.44-g spider oscillates on its web, which has a damping constant of 3.30 × 10−5 kg/s. How long does it take for the spider's amplitude of osculation to decrease by 10.0 percent?

ANSWER:

Solution 85GP

Step 1 of 1

We have to find the time it takes for the spider's amplitude of oscillation to decrease by 10 %

The spider's amplitude  of oscillation at a time is related to its initial amplitude by the relation

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