If the work done to stretch an ideal spring by 4.0 cm is 6.0 j, what is the spring constant (force constant) of this spring?

The spring constant is 3750 N/m

Explanation:

Use the following two relationships:

(Work) = (Force) x (Displacement)

(Force) = (Spring constant) x (Displacement)

=>

(Spring constant) = (Force) / (Displacement) = (Work) / (Displacement) ^2

(Spring constant) = 6.0 kg. (m^2/s^2) / 0.0016 m^2 = 3750 N/m

The spring constant is 3750 N/m