What Is the Maximum Length of a Metal Cable That

Multiple Choice

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