Question

A piece of copper originally 305 mm long is pulled in tension with a stress of 276 MPa. If the deformation is entirely elastic, what will be the resultant elongation?

Answer 1

To find the elongation of a copper wire undergoing elastic deformation with a given tensile stress, we use Hooke's Law. Without the exact value of Young's modulus for copper, we cannot determine the elongation.

Step-by-step explanation:

To solve for the resultant elongation of a copper wire under elastic deformation, we need to apply Hooke's Law, which states that the elongation (ΔL) is proportional to the applied tensile stress (F/A) and the original length (L0), and inversely proportional to the material's Young's modulus (E). We can express this relationship as ΔL = (F/A) × (L0/E). However, in this case, we are given the stress directly, so the formula simplifies to ΔL = σ × (L0/E), where σ is the stress. The Young's modulus for copper is typically around 110-130 GPa (Gigapascals), but since we don't have the exact value for this problem, we cannot calculate the elongation without it.