SOLUTION: A spring has a spring constant K of 88 N/m. How much must this spring be compressed to store 45 J of potential energy? A) 1m B) 2m C)3m D) 4m

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Question 1161288: A spring has a spring constant K of 88 N/m. How much must this spring be compressed to store 45 J of potential energy?
A) 1m B) 2m C)3m D) 4m
Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
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The potential energy of the compressed spring is


    P = %281%2F2%29%2Akx%5E2,


where k is spring constant and "x" is a compression value (the displacement from the equilibrium).


From the formula,  x = sqrt%28%282P%29%2Fk%29 = %28%282%2A45%29%2F88%29 = 90%2F88 = close to 1 meter.


ANSWER.  Option A).