Question

A bunny cord, which is 9 m long, stretches until it is 9.5 m long when equal and opposite forces are applied to each end. The same forces are applied to the ends of another bungy cord, made of the same material as the first, which has three times the cross-sectional area and is only 3 m long. What is the strain experienced by the second bungy cord?

Answer 1

The strain experienced by the second bungee cord is 1/9.

Step-by-step explanation:

The strain experienced by the second bungee cord can be calculated using the formula:

Strain = (change in length) / original length

For the first bungee cord, the change in length is 9.5 m - 9 m = 0.5 m.

For the second bungee cord, the change in length is unknown, but we can calculate it using the formula:

Change in length = (original length) x (strain)

The original length of the second bungee cord is 3 m, and we can determine the strain by comparing the cross-sectional areas of the two cords:

Strain = (cross-sectional area of the second cord) / (cross-sectional area of the first cord)

The cross-sectional area is directly proportional to the square of the radius, so the square of the radius of the second cord is (3/9)^2 = 1/9.

Therefore, the strain experienced by the second bungee cord is:

Strain = (1/9) / (1) = 1/9