Question

if a spring stores 33.5 J of energy when it's compressed by 0.13 m, what is the spring constant of the spring?

Answer 1

3964 I think was the answer. I just did this one and the one in the thousands was the right answer.

Answer 2

Energy, in terms of work, is expressed in units of Joules. Work is also force times distance. From work, we could then find the value of the force:

W = Fd
33.5 = Force x 0.13 m
F = 257.69 N

Apply Hooke's law then. Hooke's law is expressed as Force = k(delta x). From here we could determine the value of the spring constant:

257.69N = k x 0.13m
k = 1982.23 N/m