Question

When you try to stretch a bungee cord a distance x, it resists with an opposing force of the form b x2 , where b is a constant. If b is measured to be 6 N/m2 , how much work does it take to stretch the bungee cord a distance of 1 meter

Answer 1

2 Joules

Step-by-step explanation:

From the given information;

the work required to stretch the bungee cord can be calculated as follows:

`W = \int F \ dx\\`

`= \int \eta x^2 \ dx`

`= \eta \frac{x^3} {3}`

At a distance(x) of 1 m

`W = 6 * (1^3)/(3)`

W = 2 Joules