A steel wire is used to lift heavy object. The cable has a diameter of <5.25+ A>

Question

A steel wire is used to lift heavy object. The cable has a diameter of <5.25+ A> mm and an initial length of <24.5 +B> m. If the cable stretches 2.50mm, what is the mass of the heavy object? Use 20.0 x10^10 Pa for Young's modulus for steel. Give your answer in kg and with 3 significant figures. A=9, B=9 A steel wire is used to lift heavy object. The cable has a diameter of <5.25+ A> mm and an initial length of <24.5 +B> m. If the cable stretches 2.50mm, what is the mass of the heavy object? Use 20.0 x10^10 Pa for Young's modulus for steel. Give your answer in kg and with 3 significant figures. A=9, B=9

Explanation / Answer

Diameter = D = 5.25 + 9 = 14.25 mm

Length = L = 24.5 + 9 = 33.5 m

x = 2.5 mm

Young's modulus for steel = Y = 20*10^10 Pa

Now

20*10^10 = (9.8*Mass*33.5)/(0.0025*pi*(0.007125)^2)

solving for mass

Mass = 242.9 Kg

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