Stress on a Mountaineer’s Rope. A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young’s modulus for nylon?

Solution 28E Step 1: Introduction : We need to find the young’s modulus for nylon which is used for mountaineer Data given Length of the rope l 0 45.0 m Change in length l = 1.10 m Weight of the climer W = 65.0 kg F = W × 9.8m/s = 65.0 × 9.8m/s = 637 N Diameter of the rope d = 7.0 mm Radius r = 7.0/2 = 3.5 mm = 0.0035 m Step 2 : We shall find the area of the rope It is given by 2 A = r Substituting values we get 2 A = (0.0035 m ) A = 3.85 × 10 m5 2