Answer:
7s
Step-by-step explanation:
We can combine this because they are like terms.
X + x + 165 = 1315
2x + 165 = 1315
subtract 165 from both sides
2x = 1150
divide both sides by 2
x = 575
January 575
February 575 + 165 = 740
The vibration period of the spring will be 0.2 seconds
<em><u>Explanation </u></em>
The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...
![T= 2\sqrt{\frac{w}{200}}](https://tex.z-dn.net/?f=T%3D%202%5Csqrt%7B%5Cfrac%7Bw%7D%7B200%7D%7D)
Given that, the weight(w) = 2.0 kilograms
So, <u>plugging w = 2.0</u> into the above equation, we will get...
![T= 2\sqrt{\frac{2.0}{200} } \\ \\ T= 2\sqrt{\frac{1}{100} }\\ \\ T= 2*\frac{1}{10}\\ \\ T= \frac{1}{5}=0.2](https://tex.z-dn.net/?f=T%3D%202%5Csqrt%7B%5Cfrac%7B2.0%7D%7B200%7D%20%7D%20%5C%5C%20%5C%5C%20T%3D%202%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%7D%5C%5C%20%5C%5C%20T%3D%202%2A%5Cfrac%7B1%7D%7B10%7D%5C%5C%20%5C%5C%20T%3D%20%5Cfrac%7B1%7D%7B5%7D%3D0.2)
So, the vibration period of the spring will be 0.2 seconds.