Calculate the work required to stretch the following springs 0.5 m from their equilibrium positions. Assume Hoo is obeyed. a. A spring that required a force of 50 N to be stretched 0.1 m from its equilibrium position. b. A spring that required 40 J of work to be stretched 0.4 m from its equilibrium position.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem Statement**

Calculate the work required to stretch the following springs 0.5 m from their equilibrium positions. Assume Hooke's law is obeyed.

**a.** A spring that required a force of 50 N to be stretched 0.1 m from its equilibrium position.

**b.** A spring that required 40 J of work to be stretched 0.4 m from its equilibrium position.

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**Detailed Explanation:**

In these problems, you are asked to calculate the work required to stretch springs, using Hooke's Law, which is defined as:

\[ F = kx \]

where:
- \( F \) is the force applied,
- \( k \) is the spring constant,
- \( x \) is the displacement from the equilibrium position.

The work done on the spring can be calculated using the formula:

\[ W = \frac{1}{2}kx^2 \]

For each of the given scenarios, you'll need to determine the spring constant \( k \), and then use it to calculate the work required for the specified stretch.
Transcribed Image Text:**Problem Statement** Calculate the work required to stretch the following springs 0.5 m from their equilibrium positions. Assume Hooke's law is obeyed. **a.** A spring that required a force of 50 N to be stretched 0.1 m from its equilibrium position. **b.** A spring that required 40 J of work to be stretched 0.4 m from its equilibrium position. --- **Detailed Explanation:** In these problems, you are asked to calculate the work required to stretch springs, using Hooke's Law, which is defined as: \[ F = kx \] where: - \( F \) is the force applied, - \( k \) is the spring constant, - \( x \) is the displacement from the equilibrium position. The work done on the spring can be calculated using the formula: \[ W = \frac{1}{2}kx^2 \] For each of the given scenarios, you'll need to determine the spring constant \( k \), and then use it to calculate the work required for the specified stretch.
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