Given parameters:
Extension of the cord = 35m
Spring constant (K ) = 40N/m
Unknown:
The energy stored in the string = ?
Elastic potential energy is a mechanical energy form usually stored in strings.It accrues when an elastic body is stretched or undergoes extension.
mathematically, we can solve for it using the expression below;
Elastic potential energy = 0.5 x K x e²
where K is the spring constant
e is the extension
To solve this problem simply input the parameters;
Elastic Potential energy = 0.5 x 40 x 35²
= 24500J
The energy stored in the stretched bungee cord is 24500J .