What is the maximum length of a metal cable that can hang vertically supported from one end of the cable? The Young's modulus of this metal is 2.10 × 10¹¹ N/m²,its tensile strength (the maximum tensile stress it can support without breaking)is 7.40 × 10⁸ N/m²,and its density is 7.60 × 10³ kg/m³. A)9.94 km B)4.22 km C)456 km D)1.75 km E)24.8 km

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The maximum length is determined by the tensile strength divided by the product of density and gravitational acceleration: L = tensile strength / (density × g) = 7.40 × 10^8 N/m^2 / (7.60 × 10^3 kg/m^3 × 9.81 m/s^2) ≈ 9.94 km.

What Is the Maximum Length of a Metal Cable That