Question

Short answer

The Young’s modulus for a bungee cord is smaller than that of an ordinary rope.

Step-by-step solution

Understanding Young’s modulus

Young’s modulus is one of the essential properties of an element that estimates the stiffness and identifies the ductility or brittleness of the element.

Evaluating the change in Young’s modulus with ordinary rope and bungee cord

The relation of Young’s modulus is given by:

\(E = \left( {\frac{F}{A}} \right)\left( {\frac{L}{{\Delta L}}} \right)\)

Here, Fis the force, Ais the area, Lis the length of the cord, and\(\Delta L\)is the change in the length of the cord.

In the above relation, it is observed that Young’s modulus relies on the change in the length of the particular chord. This indicates that the value of Young’s modulus reduces with an increase in change in length.

The variation in the length of a bungee cord is much larger than an ordinary rope. So, Young’s modulus for a bungee cord will be smaller.