Answer:
k = 100 N/m
Step-by-step explanation:
The elastic potential energy of a spring is equal to (1/2)kx^2, where k is the spring constant and x is the distance compressed. If the elastic PE is equal to 2J, we can solve for k. Make sure to convert units from cm to m:
(1/2)kx^2 = 2J
kx^2 = 1
k = 1/x^2
k = 1/(0.1)^2
k = 100 N/m