SOLUTION: A spring has a spring constant of 10 N/m. It has stored 28 J of potential energy. How far was this spring stretched

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Question 1151049: A spring has a spring constant of 10 N/m. It has stored 28 J of potential energy. How far was this spring stretched
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

If "k" is the spring constant, then the potential energy stored is


    P = %281%2F2%29%2Ak%2Ax%5E2,


where "x" is the value of stretching, measured in meters.


In your case


    28 = %281%2F2%29%2A10%2Ax%5E2.


Hence,


    x%5E2 = %2828%2A2%29%2F10 = 5.6 m^2

    x   = sqrt%285.6%29 = 2.366 meters (approximately).    ANSWER