A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum, brass, or copper. The values of Young's modulus for these metals are 0.70 10¹1 Pa (aluminum), 0.91 x 10" (brass), and 1.1 10" (copper). Which wire would stretch the least distance? OA.copper OB. aluminum OC. brass Op. They will all stretch the same distance

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
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**Physics Problem on Material Properties**

**Problem:**
A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum, brass, or copper. The values of Young's modulus for these metals are 0.70 × 10¹¹ Pa (aluminum), 0.91 × 10¹¹ Pa (brass), and 1.1 × 10¹¹ Pa (copper). Which wire would stretch the least distance?

**Options:**
A. Copper  
B. Aluminum  
C. Brass  
D. They will all stretch the same distance.

*Explanation:*
Young's modulus (E) measures the stiffness of a material. The higher the Young's modulus, the less it will stretch under a given load. Therefore, to determine which wire will stretch the least, we should compare their Young's modulus values:
- Aluminum: 0.70 × 10¹¹ Pa
- Brass: 0.91 × 10¹¹ Pa
- Copper: 1.1 × 10¹¹ Pa

Copper has the highest Young's modulus among the given materials, indicating that it will stretch the least.

**Correct Answer:**
A. Copper
Transcribed Image Text:**Physics Problem on Material Properties** **Problem:** A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum, brass, or copper. The values of Young's modulus for these metals are 0.70 × 10¹¹ Pa (aluminum), 0.91 × 10¹¹ Pa (brass), and 1.1 × 10¹¹ Pa (copper). Which wire would stretch the least distance? **Options:** A. Copper B. Aluminum C. Brass D. They will all stretch the same distance. *Explanation:* Young's modulus (E) measures the stiffness of a material. The higher the Young's modulus, the less it will stretch under a given load. Therefore, to determine which wire will stretch the least, we should compare their Young's modulus values: - Aluminum: 0.70 × 10¹¹ Pa - Brass: 0.91 × 10¹¹ Pa - Copper: 1.1 × 10¹¹ Pa Copper has the highest Young's modulus among the given materials, indicating that it will stretch the least. **Correct Answer:** A. Copper
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