Answer:
0.064 m
Explanation:
When a spring is stretched/compressed, the force exerted in the spring is related to the elongation of the spring by the equation:
[tex]F=kx[/tex]
where:
F is the force applied
k is the spring constant
x is the stretching/compression of the spring
In this problem, we have:
[tex]F=8.22 N[/tex] 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:
[tex]x=\frac{F}{k}=\frac{8.22}{128}=0.064 m[/tex]
