Answer:
The elastic potential energy stored in the elastic band can be calculated using the formula:
Elastic Potential Energy = 0.5 x Spring Constant x (Extension)^2
where the spring constant is 20.5 N/m and the extension is 0.9 m.
Plugging in the values, we get:
Elastic Potential Energy = 0.5 x 20.5 N/m x (0.9 m)^2 = 8.29 J
Therefore, the elastic potential energy stored in the elastic band is 8.29 Joules.