Consider the situ

The maximum elongation of the spring is

Given

As shown in the diagram, the spring constant is given as “k”, and the mass of the block is given as “m”.

Formula Used

Using the conversation of mass, we equate the energies of spring compression and potential energy of the mass of the block, the formula of the energy stored in spring compression is

And the energy stored in the block is formulated as

where

The value of spring constant is denoted as “k”, the compression distance is “x”, the mass of the block is given as “m”, the gravity of the block is “g” and the height at which the block is kept is h.

Explanation

The h, in the potential energy of the block is given as x, equating the potential energy with the spring energy is

Now we can say that the maximum elongation of the spring is