A block is suspended by an ideal spring of force constant K. If the block is pulled down by applying a constant force F and if maximum displacement of block from its initial position of rest is δ δ then
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Let mass of the block hanging from the spring be m.
Then initial elongation of the spring will be equal to mg/K. When the force F is applied to pull the block down, then work done by F & further loss of gravitational potential energy of the block is used to increase the potential energy of this spring.
Hence, (F. δ δ + mg. δ δ )
= 
From this equation, δ δ = 
.
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