Final answer:
The spring constant cannot be determined with only the energy value given; additional information about the spring's displacement when storing the energy is required.
Step-by-step explanation:
To determine the spring constant of a spring, we need to know either:
- The force applied to the spring and the displacement from its equilibrium position, using Hooke's Law (F = kx), OR
- The potential energy stored in the spring (U) and the displacement, since the potential energy in a spring is given by U = ½kx².
Unfortunately, the question "What is the spring constant of a spring that stores 25 J?" provides only the energy stored in the spring without information about the displacement (x). Therefore, we cannot calculate the spring constant (k) without additional information about how much the spring was compressed or stretched when it stored that amount of energy.