Understanding Stress and Deformation in Springs with Young's Modulus

How are stress and deformation related in a spring with Young's modulus?

Given that the deformation of a spring with Young's modulus equivalent to 300 Pascals is 30, what is the stress in the spring?

Answer:

The stress in the spring is 9000 Pascals.

Firstly, it's important to note that stress and deformation are related to each other through Hooke's law, which states that stress is proportional to deformation for a linearly elastic material like a spring.

Mathematically, this can be represented as:

Stress = Young's modulus × Deformation

Substituting the given values into the equation, we get:

Stress = 300 Pa × 30

Stress = 9000 Pa

It's important to note that stress is a measure of force per unit area, so it's important to specify the cross-sectional area of the spring to fully define the stress. Additionally, the units of stress can vary depending on the system of units used, but in this case, Pascals are used, which are the SI units of stress.