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

Answer:

2 Joules

Explanation:

From the given information;

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

$W = \int F \ dx$

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

$= \eta \dfrac{x^3} {3}$

At a distance(x) of 1 m

$W = 6 \times \dfrac{1^3}{3}$

W = 2 Joules