A man steps on his bathroom scale and obtains a reading of 243 lb. The spring in the scale is...

Question:

A man steps on his bathroom scale and obtains a reading of 243 lb. The spring in the scale is compressed by a displacement of -0.0480 inches.

Calculate the value of its spring constant in:

(a) pounds per inch.

(b) newtons per meter.

Hooke's Law.

Let's imagine a mass hanging from a spiral spring. As the mass increases, the spring stretches. If the elastic range of the spring is not exceeded, then the applied force (weight) is proportional to the elongation.

Answer and Explanation:

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Variables:

  • F is the spring force.
  • k is the constant of the spring.
  • {eq}\Delta y{/eq} and is the elastic compression distance of the spring.
  • w is the...

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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