The vibration period of the spring will be 0.2 seconds
Explanation
The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...
[tex]T= 2\sqrt{\frac{w}{200}}[/tex]
Given that, the weight(w) = 2.0 kilograms
So, plugging w = 2.0 into the above equation, we will get...
[tex]T= 2\sqrt{\frac{2.0}{200} } \\ \\ T= 2\sqrt{\frac{1}{100} }\\ \\ T= 2*\frac{1}{10}\\ \\ T= \frac{1}{5}=0.2[/tex]
So, the vibration period of the spring will be 0.2 seconds.
