Analyze the provided image and extract the mathematical problem and its solution.

Дано:

\( K = 100 \text{ Н/м} \)

\( V = 2 \text{ м/с} \)

Решение:

\( v = \frac{1}{2\pi} \sqrt{\frac{K}{m}} \)

\( m = \frac{K}{(2\pi v)^2} = \frac{100}{(2 \cdot 3.14 \cdot 2)^2} = \frac{100}{(12.56)^2} = \frac{100}{157.76} \approx 0.63 \text{ кг} \)

Ответ: \( m \approx 0.63 \text{ кг} \)

\( T = 2\pi \sqrt{\frac{l}{g}} \)

\( \sqrt{g} \approx \sqrt{9.8} \approx 3.13 \)

\( T = 2\pi \sqrt{\frac{9}{8}} = 2\pi \frac{3}{\sqrt{8}} \approx 2 \cdot 3.14 \cdot \frac{3}{2.828} \approx 6.66 \text{ с} \)

Ответ: \( T \approx 6.66 \text{ с} \)

\( T = 2\pi \sqrt{\frac{l}{g}} \)

Ответ: \( T = 2\pi \sqrt{\frac{l}{g}} \)