hi everyone, is the elastic potential energy eqn: 1/2.k.(x2-x1)^2 or 1/2.k[(x2)^

Question

hi everyone,
is the elastic potential energy eqn:
1/2.k.(x2-x1)^2
or
1/2.k[(x2)^2-(x1)^2] ?
in meriam 6th ed, they use the second eqn. but in chapter 3,q153, the solution uses the first eqn to solve the answer? cananyone explain why?
is the elastic potential energy eqn:
1/2.k.(x2-x1)^2
or
1/2.k[(x2)^2-(x1)^2] ?
in meriam 6th ed, they use the second eqn. but in chapter 3,q153, the solution uses the first eqn to solve the answer? cananyone explain why? is the elastic potential energy eqn:
1/2.k.(x2-x1)^2
or
1/2.k[(x2)^2-(x1)^2] ?
in meriam 6th ed, they use the second eqn. but in chapter 3,q153, the solution uses the first eqn to solve the answer? cananyone explain why?

Explanation / Answer

The first equation is correct becoz potential energy is 1/2*k*2 here =change in length =x2-x1 here =change in length =x2-x1

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