Question

Properties of Materials
A sample material is pulled by a certain force so that an elastic elongation is recorded. What is the ratio of deformation between loaded and unloaded conditions known as?

1. spring constant

2. Young modulus

3. stress

4. strain

Answer 1

Answer on Question #50118 – Physics - Mechanics | Kinematics | Dynamics

Properties of Materials

A sample material is pulled by a certain force so that an elastic elongation is recorded. What is the ratio of deformation between loaded and unloaded conditions known as?

1. spring constant

2. Young modulus

3. stress

4. strain

Solution:

#1

spring constant: $k = \frac{F}{\Delta x}$ - Hooke's Law – stress is directly proportional to strain

#2

Young modulus: $E = \frac{\sigma}{\varepsilon}$ - the ratio of tensile stress by extensional strain

#3

Stress: $Stress = \frac{F}{A}$ – internal force per unit area associated with a strain

#4

Strain: $Strain = \frac{\Delta L}{L}$ - the ratio of extension to original length (unloaded condition)

Thus, correct answer is 4.

Answer: 4. Strain

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