Elongation With change in Force

In summary, elongation with change in force refers to the change in length of an object when an external force is applied to it. It is measured by calculating the strain, which is the change in length divided by the original length, and is affected by factors such as material properties, force magnitude, and force direction. This phenomenon follows Hooke's Law, where the force applied is directly proportional to the amount of elongation produced. Understanding elongation with change in force is important in science as it allows for predicting material behavior and designing structures, and it also has applications in medical and biological research.
  • #1
Armando Arizpe
1
0

Homework Statement


If said percentage of a maximum load (Max load 35N and 30% of that load) is held by a wire, by what percent of its length will it stretch?

Homework Equations


ΔL/L = FA/Y
Y = Youngs modulus

The Attempt at a Solution


(All values are random, just trying to understand the process)
My first attempt was to set up a proportion between the two forces and their respective elongation equations but I have not been able to get the correct answer
 
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  • #2
Armando Arizpe said:
My first attempt
Please post your attempt.
 

1. What is elongation with change in force?

Elongation with change in force refers to the change in length of an object when an external force is applied to it. This phenomenon is commonly observed in materials such as springs and rubber bands, where the length increases as the force applied to them increases.

2. How is elongation with change in force measured?

Elongation with change in force is typically measured by calculating the change in length of the object, divided by its original length. This value, known as strain, is often expressed as a percentage. For example, if a spring with an original length of 10cm stretches to 12cm when a force is applied, the strain would be (12cm-10cm)/10cm = 0.2 or 20%.

3. What factors affect elongation with change in force?

The amount of elongation with change in force is dependent on several factors, including the material properties of the object (such as elasticity and stiffness), the magnitude of the force applied, and the direction of the force relative to the object's orientation.

4. How is elongation with change in force related to Hooke's Law?

Elongation with change in force follows Hooke's Law, which states that the force applied to an elastic object is directly proportional to the amount of elongation produced. This law is often represented mathematically as F = kx, where F is the force applied, k is the spring constant of the material, and x is the amount of elongation.

5. Why is understanding elongation with change in force important in science?

Understanding the relationship between elongation and force is crucial in fields such as engineering and materials science. It allows scientists to predict how materials will behave under different forces and to design structures and products that can withstand these forces. Additionally, this knowledge can also be applied in medical and biological research, where understanding the elasticity of tissues and cells can aid in understanding physiological processes.

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