0 2 . 4 Write down the equation that links extension, force and spring constant.
Question
Write down the equation that links extension, force and spring constant.
Solution
Understanding the Problem
The question is asking for the equation that connects three key elements in the study of springs: extension (x), force (F), and spring constant (k).
Relevant Concepts
The relationship among extension, force, and the spring constant is described by Hooke's Law, which can be mathematically expressed as:
Where:
- is the force applied to the spring (in newtons, N),
- is the spring constant (in newtons per meter, N/m),
- is the extension of the spring from its original length (in meters, m).
Final Answer
The equation that links extension, force, and spring constant is:
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