A Cable Is $50.0 \mathrm{~m}$ Long and Has a Diameter Of $2.50 \mathrm{~cm}$

A cable is $50.0 \mathrm{~m}$ long and has a diameter of $2.50 \mathrm{~cm}$ . A force of $10,000 \mathrm{~N}$ is applied to the end of the cable. If the maximum stretch allowed in the cable is $2.00 \mathrm{~mm}$ , then what is the minimum elastic modulus allowed?

A) $1.27 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$
B) $2.04 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$
C) $3.52 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$
D) $5.09 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$
E) $5.00 \times 10^{6} \mathrm{~N} / \mathrm{m}^{2}$