How to calculate the extension of a spring?

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SUMMARY

The discussion focuses on calculating the extension of identical springs using Hooke's Law, which states that the force exerted by a spring is proportional to its extension. The spring constant, denoted as k, is crucial for determining the extension when a force is applied. The problem specifically involves extending two springs by a distance x and incorporates the sine of 30 degrees, which equals 0.5, to aid in calculations. Understanding these principles is essential for solving similar physics problems effectively.

PREREQUISITES
  • Hooke's Law and its applications
  • Understanding of spring constants (k)
  • Basic trigonometry, specifically sine values
  • Concept of force and extension in springs
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  • Study the derivation and applications of Hooke's Law
  • Explore problems involving multiple springs in series and parallel
  • Learn about the relationship between force, mass, and acceleration in spring systems
  • Investigate real-world applications of springs in engineering and mechanics
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of spring dynamics and Hooke's Law.

abruzzi112
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I usually have problems regarding Hooke's law and stuff. Please help me with the question below.. I came across it when I was doing my revision.
An explanation will be appreciated.
Thanks!

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This is homework-like. What have you tried?

The problem states that the springs are identical. It may help to pick an arbitrary spring constant and call it k. What is the effect of extending the first two springs by a distance x?

It may also help to recall that the sine of 30 degrees is 0.5
 
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