Complete Question
The complete quetion is shown on the first uploaded image
Answer:
Explanation:
From the question we are told that
The mass of the fly is [tex]m_f = 11 mg = 11*10^{-3} g = 1.1*10^{-5} \ kg[/tex]
The extension of the web is [tex]e= 4.00 \ mm = 0.004 \ m[/tex]
The spring constant is mathematically evaluated as
[tex]k = \frac{mg}{e}[/tex]
substituting values
[tex]k = \frac{1.1 *10^{-5} *9.8}{0.004}[/tex]
[tex]k = 0.027 \ N/m[/tex]
The frequency of vibration is
[tex]f = \frac{1}{2 \pi} \sqrt{\frac{k}{m} }[/tex]
substituting values
[tex]f = \frac{1}{2 * 3.142 } \sqrt{\frac{0.027}{1.1*10^{-5}} }[/tex]
[tex]f = 7.9 Hz[/tex]
