Answer:
A = 2.26 m
Step-by-step explanation:
Given that,
The total mechanical energy of the block spring system is 512 J
Let the spring constant, k = 200 N/m
We need to find the amplitude for this oscillation. The mechanical energy of the spring mass system is given by :
![E=(1)/(2)kA^2](https://img.qammunity.org/2021/formulas/physics/college/31xyw2qaf6gyaf25v7abc6onto5mln6mo7.png)
k is spring constant
![A=\sqrt{(2E)/(k)} \\\\A=\sqrt{(2* 512)/(200)} \\A=2.26\ m](https://img.qammunity.org/2021/formulas/physics/college/bpp0amre21f6ckya0c1oe4on0py4qccepl.png)
So, the amplitude of the oscillation is 2.26 m