A Very Light 1

question 37

Multiple Choice

A very light 1.00-m wire consists of two segments of equal length, one of steel (Young's modulus is 2.00 × 10¹¹ N/m²) and one of brass (Young's modulus is 9.0 × 1010 N/m²) . The steel segment is 1.50 mm in diameter, and the brass segment has twice this diameter. When a weight w is hung from the ceiling by this wire, the steel segment stretches by 1.10 mm. By what distance does the brass segment stretch?

• A) 0.50 mm
• B) 0.61 mm
• C) 1.2 mm
• D) 2.4 mm
• E) 9.8 mm

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