Static force is the force applied to an object or anything else while it's not moving.
Take for example when you're sitting on a chair, your body weight sitting on that chair is a static force.
A dynamic force is force applied to an object or anything else when it hits that object while it's falling from a distance above.
So if you drop something from a building and it lands on the ground then that is an example of dynamic force.
The dynamic force happens when the object hits the ground or other surface.