Question

Hooke’s law describes the linear relationship between stress and strain through Young’s modulus. Given two materials under the same elastic stress, the material with the higher modulus will stretch _________ the material with a lower modulus.

Answer 1

Answer:

The material with higher modulus will stretch less than

The material with lower modulus

Explanation:

A material with a higher modulus is stiffer and has better resistance to deformation. The modulus is defined as the force per unit area required to produce a deformation or in other words the ratio of stress to strain.

E= stress/stain

Hooks law states that provided the elastic limit is not exceeded the extension e of a spring is directly proportional to the load or force attached

F=ke

Where k is the constant which gives the measure of the spring under tension

Answer 2

Answer:

The material with higher modulus will stretch less than the material with lower modulus

Explanation:

This is because Young's modulus, E = stress/strain = σ/ε. Now, ε = σ/Y. Since σ = constant for both materials, ε ∝ 1/Y. So the strain is inversely proportional to the Young's modulus. Thus, the material with the higher modulus will stretch less than the material with lower modulus.