1. Physics 151 Week 6 Day 3 Topics  What is a Force?  Newton’s 0th Law of Motion (Not in the book)  Force Diagrams and System Schemas (Not in the book)  More vector math  Magnitude and Direction from components  Adding vectors by components

2. The following vectors have length 4.0 units. What are the x- and y-components of these vectors? A.3.5, 2.0 B.  2.0, 3.5 C.  3.5, 2.0 D.2.0,  3.5 E.  3.5,  2.0 Checking Understanding Slide 3-27

3. The following vectors have length 4.0 units. What are the x- and y-components of these vectors? Answer Slide 3-28 A.3.5, 2.0 B.  2.0, 3.5 C.  3.5, 2.0 D.2.0,  3.5 E.  3.5,  2.0

4. Vector Components

5. To the Airport Write out the simplest set of directions (fewest number of steps) to go from the Road Runner Station downtown (1st and Central) to the Sunport airport

6. Adding Displacement Vectors Slide 1-35

7. Slide 2-34 Brainstorm: What is a Force?

8. What Is a Force? A force...... is a push or pull.... acts on an object.... requires an agent.... is a vector.... is a contact force or a long-range force. Slide 4-10

9. Slide 2-34 Newton’s Zeroeth Law of Motion Objects are dumb - They have no memory of the past and cannot predict the future. Objects only know what acts directly on them in a given moment.

10. Types of forces

11. Contact Forces vs. Non-contact Forces

12. Defining normal Forces and Friction Forces Contact forces arise when two objects interact due to surfaces in contact. These forces can be broken into two components parallel and perpendicular to the surface The component parallel to the surface is the friction force The component perpendicular to the surface is the normal force. (normal is a mathematical term meaning perpendicular.)

13. Normal Force n  Slide 4-22

14. Friction f k and f s   Slide 4-23

15. Tension ForceT  Slide 4-21

16. Drag D and Thrust F thrust  Slide 4-24

17. Clicker Question 1 1. A “net force” is A.the sum of the magnitudes of all the forces acting on an object. B.the difference between two forces that are acting on an object. C.the vector sum of all the forces acting on an object. D.the force with the largest magnitude acting on an object. Slide 4-7

18. Answer 1. A “net force” is A.the sum of the magnitudes of all the forces acting on an object. B.the difference between two forces that are acting on an object. C.the vector sum of all the forces acting on an object. D.the force with the largest magnitude acting on an object. Slide 4-8

19. Force Vectors Slide 4-18

20. Free-Body Diagrams You should always describe a force by identifying the type of force, the force agent and the object being acted on. For a force diagram label forces like this => F g, Earth=>box

21. System Schema Draw a system schema: Draw a diagram where you write down the name of each object in the system and then draw a solid circle drawn around it. Draw two sided arrows like this between the object circles of objects that interact (This illustrates all interactions between the objects in this diagram). Draw an additional dotted line around the block to indicate it is the object of interest. This diagram is called a system schema. A system schema illustrates all the relevant interactions between the objects in a given physical situation Each double-headed arrow represents an action-reaction pair of forces A.K.A. a Newton’s 3rd Law pair

22. Slide 2-34 Identifying Forces: Freebody (Force) Diagrams and System Schema

23. Example Problem: One book, Two book Slide 4-26