1. Hooke's Law Force: This is the force that arises from the stretching or compressing of an object, like a spring. It's directly proportional to the displacement from the object's equilibrium position and always acts to restore the object back to that position.

2. Restoring Force: This is a more general term that refers to any force that acts to restore a system to its equilibrium position. It can include various types of elastic forces, such as the force in a rubber band, the tension in a stretched string, or the force exerted by a bent beam.

Both types of forces are related to the elasticity of a material, which is its ability to deform under stress and return to its original shape when the stress is removed.