Super quick question on spring and energy conservation

[I_LoveCasey!]

Super quick question on spring and energy conservation!

Homework Statement

What does conservation of energy in equation form look like for spring?

Homework Equations

i know that [delta]K= k-k0
i know that [delta]Ug=mgh-mgh0

idk on [delta]Us= ...

The s,g stand for subscripts

The Attempt at a Solution

I thought that Us=1/2Kx^2 but it's not right

 

[alphysicist]

Hi I_LoveCasey!,

Homework Statement

What does conservation of energy in equation form look like for spring?

Homework Equations

i know that [delta]K= k-k0
i know that [delta]Ug=mgh-mgh0

idk on [delta]Us= ...

The s,g stand for subscripts

The Attempt at a Solution

I thought that Us=1/2Kx^2 but it's not right

That is the formula for the potential energy of a spring. So if the spring displacement goes from x₀ to x, what is the change in the springs potential energy?

(Do the same kind of thing that you did for the gravitational potential energy--the formula for gravitational potential energy is U_g=mgh, and so the change is the two terms that you have in your post.)