High School

A 200-kg load is hung on a wire with the following characteristics:

- Length: 4.00 m
- Cross-sectional area: 0.2 cm²
- Young’s modulus: [tex]8.00 \times 10^{10} \, \text{N/m}^2[/tex]

What is the increase in the length of the wire?

Answer :

The increase in length of the loaded wire is[tex]1.00 x 10^-8 m.[/tex]

To find the increase in length, we can use Hooke's Law, which states that the extension of a spring (or wire in this case) is directly proportional to the applied force. The formula for linear elastic deformation is ΔL = (F * L) / (A * E), where ΔL is the increase in length, F is the force applied, L is the original length, A is the cross-sectional area, and E is the Young's modulus. Plugging in the given values, we get:

ΔL = (F * L) / (A * E)ΔL = (200 * 4.00) / (0.2 * 8.00 x 1010)ΔL = 1.00 x 10-8 m

Therefore, the increase in length is 1.00 x 10-8 m.

To know more about Hooke's Law visit:

https://brainly.com/question/29126957

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