What is the maximum length of steel cable that can hang vertically supported from one end of the cable? The Young's modulus of this steel is 2.10 × 10¹¹ N/m², the tensile strength of this steel is 7.4 × 10⁸ N/m², and the density of this steel is 7.6 × 10³ kg/m². A)9.93 km B)4.22 km C)456 m D)1.75 km E)24.8 km

Question

Quizplus · Accepted Answer

The maximum length is determined by the tensile strength divided by the product of density and gravitational acceleration: L = tensile strength / (density * g). Substituting the given values, L = (7.4 × 10^8) / (7.6 × 10^3 * 9.81) = 9.93 km.

What Is the Maximum Length of Steel Cable That Can