Spring Block System: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Spring Block System. Understanding the underlying formula is key to arriving at the correct answer below:

Given $ T = 2\pi \sqrt{\frac{m}{k}} = 2\pi $ sec, we get $ m/k = 1 $. The original extension was $ x = \frac{mg}{k} $. Substituting $ m/k = 1 $ gives $ x = g $ metres. The spring decreases by this amount.