1. Circular Motion, Gravitation, Kepler’s 3d Law, Orbits Variables, Equations, and Constants

2. Variables

3. Variables (units) a c (m/s 2 ) centripetal acceleration

4. Variables (Units) T (s) Period time of one complete rotation or revolution

5. Variables (units) r (m) Radius of Orbit

6. Variables (units) v (m/s) speed of orbit orbital velocity

7. Variables (units) F G (N) Force of gravitational attraction

8. Equations

9. Centripetal Accleration

10. Centripetal Acceleration

11. Kepler’s 3d law

12. Universal Law of Gravitation

13. Period of Orbiting Body

14. Speed of an Orbiting Body

15. Constants

16. Definition of the Astronomical Units (AU)

17. Universal Gravitational Constant

18. Chapter 9 Impulse and Momentum

19. Definitions impulse (J)—a force exerted over an interval of time. Impulse is measured in Ns.

20. Definitions momentum (p)—the product of mass and velocity. Momentum is measured in kgm/s.

21. Relationship between impulse (J) and momentum (p) Slide 1 of 3 Equation/OperationMeaning Newton’s second law of motion Definition of acceleration Multiplication Definition of Δv Distributive Property

22. Relationship between impusle (J) and momentum (p) Slide 2 of 3 Equation/OperationMeaning Definition of Momentum Definition of delta Definition of impulse Relationship between impulse and momentum

23. Relationship between impulse (J) and momentum (p) Slide 3 of 3 This equation says that an impulse causes a change in momentum. Or in other words, a push acting for a certain time changes an object’s motion.

24. Examples

25. Show that a Ns is the same as a kgm/s.

26. Examples 1.Calculate the momentum of 0.50 kg ball rolling at 12 m/s. 2.Calculate the momentum of a 1300 kg car travelling at 72 km/h. 3.Calculate the momentum of a 45 g bullet travelling at 400 m/s. 4.The momentum of a person walking at 0.8 m/s is 96 kgm/s. a.What is the person’s mass? b.What is the person’s weight in N c.What is the person’s weight in lbs?

27. Examples 1.Calculate the momentum of 0.50 kg ball rolling at 12 m/s. P = mv P = 6 kgm/s

28. Examples 2.Calculate the momentum of a 1300 kg car travelling at 72 km/h. P = mv P = 2.6 E4 kgm/s

29. Examples 3.Calculate the momentum of a 45 g bullet travelling at 400 m/s. P = mv P = 18 kgm/s

30. Examples 4.The momentum of a person walking at 0.8 m/s is 72 kgm/s. a.What is the person’s mass? b.What is the person’s weight in N? c.What is the person’s weight in lbs? p = mv m=p/v m=90 kg W = 882 N W= 200 lbs.