Calculating the energy stored in a spring

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To calculate the energy stored in a spring when a force of 12N is applied, one must analyze the force-extension graph where the extension is 80mm. The relationship between force (F) and extension (x) is given by Hooke's Law, F = kx, where k is the spring constant. The area under the force-extension graph represents the work done on the spring, which is equivalent to the energy stored in the spring, measured in Joules (Nm). Therefore, the area under the graph must be calculated to determine the energy stored. This confirms that the energy stored in the spring is indeed expressed in Joules.
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1. Calculate the energy stored in the spring when a forceo f 12N is applied (revision
a graph is given (force extension graph and when the force is 12N, the extension is 80mm)




2. f=kx



3. I do not know how to solve this problem and my exam is tomorrow!
 
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In the graph of F against x, the force should vary linearly. What does the area under the graph give?
 
k, the spring constant?
 
lukenichols said:
k, the spring constant?

No, the area under the graph would give the product of a force and a distance, which is what?
 
rock.freak667 said:
No, the area under the graph would give the product of a force and a distance, which is what?


is it Newton Metres?
I genuinely am unsure on this topic to be honest
 
lukenichols said:
is it Newton Metres?
I genuinely am unsure on this topic to be honest

Yes Nm, which is also the same as Joule, which is energy. So what does the area give?
 
rock.freak667 said:
Yes Nm, which is also the same as Joule, which is energy. So what does the area give?

does it give the energy stored in joules?

so i have to calculate the area under the graph from 12N downward?
 
lukenichols said:
does it give the energy stored in joules?

so i have to calculate the area under the graph from 12N downward?

Yes.
 

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