(a) How much will a spring that has a force constant of 40.0 N/m be stretched by an object with a...

Question:

(a) How much will a spring that has a force constant of 40.0 N/m be stretched by an object with a mass of 0.500 kg when hung motionless from the spring?

(b) Calculate the decrease in gravitational potential energy of the 0.500 kg object when it descends this distance.

(c) Part of this gravitational energy goes into the spring. Calculate the energy stored in the spring by this stretch, and compare it with the gravitational potential energy. Explain where the rest of the energy might go.

Spring:

The spring is the object that is made up of spring steel and reserves the energy due to its elastic property and design. The spring exercises a force when it is stretched or pressed, which varies on the spring constant of the material.

Answer and Explanation:

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Given data

  • The spring constant is {eq}k = 40\;{\rm{N/m}} {/eq}.
  • The mass of the object is {eq}m = 0.500\;{\rm{kg}} {/eq}.


Part (a)

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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