Question

A bungee cord stretches 25 meters and has a spring constant of 140 N/m. How much energy is stored in the bungee

Answer 1

87.5 kJ

Step-by-step explanation:

The potential energy stored in a stretch spring is given by the expression below

PE = Work = force * distance

So:

`PE = (kx) * x`

This then simplifies to:

`PE = kx^2`

where k is the spring constant= 140 N/m

Given that x= 25 m

Substituting our data into the expression for P.E stored we have

`PE = 140*25^2\\\\PE= 140*625\\\\PE= 87500 J`

Hence the energy stored in the spring is 87.5kJ