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# Finding Young's Modulus?

For safety in climbing, a mountaineer uses a nylon rope that is 36 m long and 0.9 cm in diameter. When supporting a 99 kg climber, the rope elongates 1.1 m.

The acc. of gravity is 9.8 m/s^2

a. Find its Young modulus. Answer in units of Pa.

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- ukmudgalLv 61 decade agoFavorite Answer
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Length =L =36 m

radius = r =diameter/2=0.9/2=0.45 cm=4.5*10^ -3 m

extension = l =1.1 m

mass = m=99 kg

g=9.8 m/s^2

Young's modulus = Y = mgL / pi ( r^2) l

Y = 99*(9.8)*36 / 3.1416*(4.5*10^ -3)*(4.5*10^ -3)*1.1

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Edited on 30 Nov

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Y =4.991*10^8 N/m^2

Young modulus is 4.991* 10^8 pascal

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