Answer:
0.0957 m
Explanation:
The total energy of a spring system is given by:
[tex]E=\frac{1}{2}kA^2[/tex]
where
k is the spring constant
A is the amplitude of the vibration
In this problem, we know:
k = 1200 N/m is the spring constant
E = 5.5 J is the total energy
Therefore, we can re-arrange the equation to find the amplitude of the vibration:
[tex]A=\sqrt{\frac{2E}{k}}=\sqrt{\frac{2(5.5 J)}{1200 N/m}}=0.0957 m[/tex]
