For safety in climbing, a mountaineer uses a nylon rope that is 50 m long and 1.0 cm in diameter. When supporting a 90-kg climber, the rope elongates 1.6 m. Determine the Young's modulus for this nylon rope.
(a) 0.88 × 108 N/m2
(b) 1.37 × 108 N/m2
(c) 2.64 × 108 N/m2
(d) 3.51 × 108 N/m2
(e) 4.83 × 108 N/m2
(f) None of the above.