1. An egg is free-falling from a nest in a tree. Neglect air resistance
An egg is free-falling from a nest in a tree. Neglect air resistance. Diagram the forces acting on the egg as it is falling.         

2. A college student rests a backpack upon his shoulder
A college student rests a backpack upon his shoulder. The pack is suspended motionless by one strap from one shoulder. Diagram the vertical forces acting on the backpack.

3. A skydiver is descending with a constant velocity
A skydiver is descending with a constant velocity. Consider air resistance. Diagram the forces acting upon the skydiver.

4. A rightward force is applied to a book in order to move it across a desk at constant velocity. Consider frictional forces. Neglect air resistance. Diagram the forces acting on the book.  

5. A force is applied to the right to drag a sled across loosely packed snow with a rightward acceleration. Neglect air resistance. Diagram the forces acting upon the sled. 

6. A rightward force is applied to a book in order to move it across a desk with a rightward acceleration. Consider frictional forces. Neglect air resistance. Diagram the forces acting on the book.   

7. A football is moving upwards towards its peak after having been booted by the punter. Neglect air resistance. Diagram the forces acting upon the football as it rises upward towards its peak. 

8. A flying squirrel is gliding (no wing flaps) from a tree to the ground at constant velocity. Consider air resistance. Diagram the forces acting on the squirrel. 

9. A car is coasting to the right and slowing down. Neglect air resistance. Diagram the forces acting upon the car. 

10. In the statement of Newton's first law, the unbalanced force refers to that force that does not become completely balanced (or canceled) by the other individual forces. If either all the vertical forces (up and down) do not cancel each other and/or all horizontal forces do not cancel each other, then an unbalanced force exists.
The existence of an unbalanced force for a given situation can be quickly realized by looking at the free-body diagram for that situation.

11. Free-body diagrams for three situations are shown below. 

12. In each of the previous situations, there is an unbalanced force.
It is commonly said that in each situation there is a net force acting upon the object.
The net force is the vector sum of all the forces that act upon an object. That is to say, the net force is the sum of all the forces, taking into account the fact that a force is a vector and two forces of equal magnitude and opposite direction will cancel each other out.

13. At this point, the rules for summing vectors (such as force vectors) will be kept relatively simple. Observe the following examples of summing two forces: