Answer:
0.064 m
Step-by-step explanation:
When a spring is stretched/compressed, the force exerted in the spring is related to the elongation of the spring by the equation:
![F=kx](https://img.qammunity.org/2021/formulas/physics/high-school/dmajhrea96chsizk5eb3hcau7z4ochjvfl.png)
where:
F is the force applied
k is the spring constant
x is the stretching/compression of the spring
In this problem, we have:
is the force applied by the kid on the spring
k = 128 N/m is the spring constant
Solving for x, we find how far the spring stretches:
![x=(F)/(k)=(8.22)/(128)=0.064 m](https://img.qammunity.org/2021/formulas/physics/high-school/3p6geik0osd5ikhol7s0po4etk8v2pbwmg.png)