A. Consider the case of a book resting on a level table, as diagrammed below. Book 1. Draw a complete force diagram with proper labeling (e.g. an appropriate letter symbol for the force, based on the type of force, and two subscripts describing the object that feels the force and the object causing the force). 2. What evidence do you have for the existence of each of the forces on your diagram? 3. What observation can you make that allows you to determine the relative magnitudes of the forces acting on the book? 4. If necessary, correct the magnitude of arrows in your force diagram to make sure it reflects your answer to 3. B. Suppose a second book of greater mass is placed on top of the book from A, as diagrammed below. Upper book Lower book 1. Draw a complete force diagram with proper labeling for each book. 2. Which of the forces, in your diagram, are contact forces and which are non-contact? 3. What type of force does the upper book exert on the lower book (e.g., frictional, gravitational)? This should also reflect what your choice of letter to symbolize this force was. 4. If your answer to 3 was gravitational, or a weight force, you are incorrect. Why is this incorrect? (Hint: review the definition of a weight force, what object must always be present for there to be a weight ? ) 5. What observation can you make that allows you to determine the relative magnitudes of the forces on the upper book? 6. Are there any forces acting on the Lower book that have the same magnitude as a force acting on the upper book? Explain. 7. Compare the forces that the book in A felt before and after the upper book was added. Which force(s) changed as a result and which remained the same