Answer:
The displacement of the spring, as measured from equilibrium, is 0.301 m
Explanation:
Hi there!
Using Hooke´s law, we can calculate the displacement of the spring:
F = -kx
Where:
F = restoring force exerted by the spring.
k = spring constant.
x = displacement of the spring.
The force exerted by the spring can also be calculated using the Newton law:
F = m · a
Where:
F = force.
m = mass of the object.
a = acceleration.
Then, combining both laws:
F = -k · x = m · a
-k · x = m · a
-339 N/m · x = 10.0 kg · 10.2 m/s²
x = 10.0 kg · 10.2 m/s² / -339 N/m
x = -0.301 m
The displacement of the spring, as measured from equilibrium, is 0.301 m
