Not necessarily, but it would if it were deflected (stretched or compressed) the same amount as a spring with a lower spring constant (stiffness). read more
Choosing a Coordinate System Up: Work and Energy Previous: Gravitational Potential Energy. Potential Energy Stored in a Spring. Definition: The spring constant, k, is a measure of the stiffness of a spring (large k stiff spring, small k soft spring). read more
The tighter the spring, the harder it is to deform, the more work you have to do, and the more energy you need. The energy you use isn't lost: most of it is stored as potential energy in the spring. Release a stretched spring and you can use it to do work for you. When you wind a mechanical clock or watch, you're storing energy by tightening a spring. read more