Answer:
0.09 m
Explanation:
The best way to solve this would be by comparing energy.
Build conservation of energy formula.
[tex]K+U=E\\[/tex]
Find kinetic energy:
[tex]1/2mv^2=K\\1/2*0.472*0.49^2=K\\0.057=K[/tex]
Now find the potential spring energy at 9.16cm:
[tex]1/2KA^2=Us\\1/2*712*0.0916^2=Us\\2.987 = Us[/tex]
Since all energy must come from potential energy, we can substitute values:
[tex]0.057+2.987=1/2kA^2\\3.04400=712/2*A^2\\0.008=A^2\\0.089=A\\0.09=A[/tex]
