question_answer

Two identical springs labelled as 1 and 2 are arranged in series and subjected to force F as shown in the given figure.

Assume that each spring constant is K. The strain energy stored in spring 1 is:

A) \[{{\text{F}}^{\text{2}}}\text{/2K}\]                

B) \[{{\text{F}}^{\text{2}}}\text{/4K}\]

C) \[{{\text{F}}^{\text{2}}}\text{/8K}\]                

D) \[{{\text{F}}^{\text{2}}}\text{/16}\,\text{K}\]