A theory is an idea that is widely agreed on by scientists and can be changed when new info comes to light while a hypothesis is an educated guess sometimes based on prior knowledge.
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Given that the mass is m = 0.2 kg and the displacement is x = 3 cm = 0.03 m
We have to find the spring constant and potential energy.
The spring constant can be calculated by the formula

Here, k is the spring constant.
g = 9.8 m/s^2 is the acceleration due to gravity.
Substituting the values, the spring constant will be

The potential energy can be calculated as