A metal wire 1.3 mm in diameter and 2.5 m long hangs vertically with a 5.1-kg...

Question

Question

A metal wire 1.3 mm in diameter and 2.5 m long hangs vertically with a 5.1-kg object suspended from it.

Part A

If the wire stretches 1.7 mm under the tension, what is the value of Young's modulus for the metal?

Express your answer using two significant figures.

Answer 1

Answer #1

YM =( Force x Length ) / (Extension x Area )
YM = (5.1 x 9.8 x 2.5) / (1.7 x 10^-3 x 3.14 x 6.5 x 10^-4 x 6.5 x 10^-4)
YM = 55.4 x 10⁹

answer using two significant figures
YM = 55 x 10⁹N/m^2

Answer 2

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