If the displacement of a horizontal mass-spring system was doubled, the elastic potential energy in the system would change by a factor of

K'=4K

Explanation:

The electric potential energy is given by :

Where

k is spring constant

x is compression or extension in the spring

If the displacement of a horizontal mass-spring system is doubled, x'= 2x

New elastic potential energy :

So, new elastic potential energy 4 times the initial elastic potential energy.

okay i have so many questions. but the big one here is: um wt..f is this mess? ?