Calculating the energy stored in a spring

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SUMMARY

The discussion focuses on calculating the energy stored in a spring when a force of 12N is applied, resulting in an extension of 80mm. The formula used is F = kx, where F is the force, k is the spring constant, and x is the extension. Participants clarify that the area under the force-extension graph represents energy, measured in Joules (Nm). The area under the graph is confirmed to give the energy stored in the spring, which is crucial for solving related physics problems.

PREREQUISITES
  • Understanding of Hooke's Law (F = kx)
  • Familiarity with force-extension graphs
  • Knowledge of energy units (Joules and Newton Metres)
  • Basic calculus for area calculation under curves
NEXT STEPS
  • Learn how to calculate areas under curves in physics
  • Study the concept of spring constants and their significance
  • Explore the relationship between force, extension, and energy in springs
  • Practice problems involving Hooke's Law and energy calculations
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Students preparing for physics exams, educators teaching mechanics, and anyone interested in understanding the principles of energy storage in springs.

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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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