Question
SEP Use Mathematics A wire with a length of 3.0 m and a cross-
sectional area of
weight. Determine Young’s modulus for the wire.
sectional area of
weight. Determine Young’s modulus for the wire.
Ask by Sherman Morgan. in Saudi Arabia
Jan 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Young’s modulus for the wire is approximately
Solution
To determine Young’s modulus (
Given:
- Length of the wire (
): 3.0 m - Cross-sectional area (
): - Elongation (
): 0.10 cm = 0.0010 m - Mass hanging (
): 98 kg - Acceleration due to gravity (
):
Step 1: Calculate the Force (
Step 2: Plug the Values into Young’s Modulus Formula
Final Answer:
The Young’s modulus of the wire is approximately
Expressed in Gigapascals (GPa):
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Beyond the Answer
To determine Young’s modulus
where stress is defined as force per unit area and strain is the relative change in length.
First, calculate the force (
Next, calculate the stress:
Now, convert the stretch (
Now, calculate the strain:
Finally, plug the values into the Young’s modulus formula:
So, Young’s modulus for the wire is approximately
