How Do You Calculate the Potential Energy of a Spring?

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SUMMARY

The potential energy of a spring can be calculated using the formula Ep = kx²/2, where k is the spring constant and x is the displacement from the equilibrium position. In this discussion, a spring with a mass of 0.500 kg is pulled 0.25 m from its equilibrium position, and the spring constant is given as 6.8 N/m. The potential energy at this displacement is determined by substituting these values into the formula, yielding a specific energy value that reflects the spring's stored energy due to its deformation.

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dulaville
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~~potential energy of a spring!

Homework Statement



A spring with a 0.500kg mass is pulled 0.25m from the equilibrium position. Calculate the potential energy of the spring at 0.25m, if the spring constant is 6.8N/m.

Homework Equations



Ep=mgh
Ep=kx^2/2

The Attempt at a Solution



Don't know where to start, sorry!
 
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<Solution deleted by mods>[/color]
 
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Redbelly98
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You've got both equations right, now you just need to figure a couple o' things out:
How much gravitational energy did it gain from being streched? (Because streching it could mean the center of mass is closer to or further from the Earth's center)
How much "spring"-energy did it gain?

It also depends on wether the spring lies on the floor, flat, or hangs from the cieling, eg.
 

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