A force is always a push, pull, or a twist, and it affects objects by pushing them up, pulling them down, pushing them to a side, or by changing their motion or shape in some other way.
This formula says that when there is a force on an object then it will move faster and faster. If the force is weak and the object is heavy, then it will take a long time to increase the speed very much, but if the force is strong and the object is light, then it will move a lot faster very quickly.
Gravity is an acceleration. Everything that has a mass is being pulled toward the Earth because of that acceleration. This pull is a force called weight.
One can take the equation above and change to the standard
This formula says that when you know the mass of an object, then you can calculate how much force there is on the object because of gravity. You must be on earth to use this formula. If you are on the moon or another planet, then you can use the formula but g will be different.