A nylon rope used by mountaineers elongates 1.10 m under the weight of an 65.0-kg climber.

A nylon rope used by mountaineers elongates 1.10 m under
the weight of an 65.0-kg climber. A nylon rope used by mountaineers elongates 1.10 m under
the weight of an 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 this material? (Express your answer using two
significant figures).

the youngs modulus is calculated by the ratio of stress by
strain
stress = perpendicular load per unit area,
strain is elengation per unit length
(65.0kg) (9.81 ) (45.0 m) T (3.5 x 10-3m) (1.10m) = 6.8 × 108 Pa