8. 25 pt. 5 pt. 10 pt. 15 pt. 20 pt. 25 pt. 5 pt. 10 pt. 15 pt. 20 pt. 25 pt. 5 pt. 10 pt. 15 pt. 20 pt. 25 pt. 5 pt. 10 pt. 15 pt. 20 pt. 25 pt. 5 pt. 10 pt. 15 pt. 20 pt.

9. At the top of its flight, a projectile has an acceleration of…?

10. 9.8 m/s 2 - Downward (or -9.8 m/s 2 ) At the top of its flight, a projectile has an acceleration of…?

11. An object with a mass of 23kg has a weight of what?

12. 230 N (or 225.4 N) An object with a mass of 23kg has a weight of what?

13. What is the value of G?

14. 6.67 E-11 Nm 2 kg 2

15. What is the value of g on a planet with a mass of 4 E23 kg and a diameter of 8,000 km?

16. What is the value of g on a planet with a mass of 4 E23 kg and a diameter of 8,000 km? g = G m/r 2 g = 6.67 E-11 Nm 2 kg 2 * 4 E23 kg (4,000,000 m) 2 g = 1.67 m/s 2

17. An astronaut weighs 700N on Earth. If the astronaut weighs 200N on another planet, which has a radius of 5000 km, what is the mass of the planet?

18. m astronaut = 70 kg F g = 200 N = Gm 1 m 2 /r 2 200N = 6.67 E-11 * 70kg * m planet (5,000,000 m) 2 m planet = 1.07 E 24 kg An astronaut weighs 700N on Earth. If the astronaut weighs 200N on another planet, which has a radius of 5000 km, what is the mass of the planet?

19. What is the equation for Centripetal Force?

20. F c = mv 2 / r

21. What is the equation for Centripetal Acceleration?

22. a c = v 2 / r

23. 2-15 A 1000kg race car goes around a 200m diameter track at 50m/s. How much frictional force is needed to prevent skidding?

24. F c = mv 2 / r F f = 1000kg*(50m/s) 2 / 100m F f = 25,000 N 2-15A A 1000kg race car goes around a 200m diameter track at 50m/s. How much frictional force is needed to prevent skidding?

25. 2-20 A race car goes around a 100m diameter track at 100m/s. What coefficient of friction is needed to prevent skidding? Is this Static, or Kinetic friction?

26. F f = mv 2 / rF N = mg μ = F f / F N μ = (mv 2 /r)/(mg) = v 2 /rg μ = 20.. Static 2-20A A race car goes around a 100m diameter track at 100m/s. What coefficient of friction is needed to prevent skidding? Is this Static, or Kinetic friction?

27. 2-25 Type question here. Adjust size & position as necessary.

28. Tan Ө = Fc / Fg Tan Ө = mv 2 / rmg Tan Ө = v 2 / rg = (2  r/T) 2 / rg Ө = Tan -1 (4  2 r/(g T 2 )) T = 26 o 2-25A A 0.1kg toy airplane flies around a pole, tied to a string, in a 0.5m radius circle. If the plane takes 2 seconds to circle, what is the angle between string and pole?

29. 3-5 A ball is spun on a 2m string, completing a circle in 1 second. What is the velocity of the ball?

30. 3-5A A ball is spun on a 2m string, completing a circle in 1 second. What is the velocity of the ball? v = d / t d = 2  r v = 2  r / t v = 12.6 m/s

31. 3-10 A ball on a string is spun in a circle, rolling along on the surface of a table-top. Draw a Free-Body diagram for the ball.

32. 3-10A A ball on a string is spun in a circle, rolling along on the surface of a table-top. Draw a Free-Body diagram for the ball. FtFt FgFg FNFN

33. A ball on a string is spun in a circle, moving faster and faster. Draw a pair of vectors representing the acceleration(s) of the ball..

34. acac atat

35. 3-20 A toy plane on a string hangs from the ceiling, flying around every 1.93 seconds. If the string has a length of 1m, and the string is 20 o from the vertical, what is the centripetal acceleration of the plane?

36. a c = v 2 / r a c = (2  r / T) 2 / r a c = 4  2 r / T 2 a c = 4  2 (1 sin20) / (1.93 s) 2 a c = 3.6 m/s 2 3-20A A toy plane on a string hangs from the ceiling, flying around every 1.93 seconds. If the string has a length of 1m, and the string is 20 o from the vertical, what is the centripetal acceleration of the plane?

37. 3-25 A toy airplane hangs from a 1m string attached to the ceiling. The plane flies in a circle of radius 0.5m. How long does it take the plane to circle once?

38. a c = v 2 / rӨ = 30 o Tan Ө = a c / g a c = 5.77m/s 2 = v 2 /0.5m v = 1.7 m/sd = 3.14 T = 1.85s 3-25A A toy airplane hangs from a 1m string attached to the ceiling. The plane flies in a circle of radius 0.5m. How long does it take the plane to circle once?

39. 4-5 Draw a Free-Body diagram for a roller coaster on a slow hill.

40. 4-5A Draw a Free-Body diagram for a roller coaster on a slow hill. FgFg FNFN

41. 4-10 Draw a Free-Body diagram for a roller coaster at the bottom of a loop (to scale).

42. FgFg FNFN

43. Draw a Free-Body diagram for a roller coaster at the top of a loop, where the rider feels weightless (to scale).

44. FgFg

45. How fast must a roller coaster be moving if the rider is to feel weightless at the top of the 40m tall loop?

46. F N + F g = mv 2 / r 0 N + mg = mv 2 / r 10 = v 2 / 20m v = 14.14 m/s

47. How fast is a roller coaster moving if the rider feels 4g’s at the bottom of the 20m tall loop?

48. F N - F g = mv 2 / r 4g’s means F N = m*4*10m/s 2 m4*10 - mg = mv 2 / r 40 – 10 = v 2 / 10m v = 17.32 m/s How fast is a roller coaster moving if the rider feels 4g’s at the bottom of the 20m tall loop?

49. 5-5 How many Earths would fit in Jupiter’s large red-spot?

50. 5-5A How many Earths would fit in Jupiter’s large red-spot? Approximately 2 or 3 Earths would fit in the red spot.

51. How many of your body cells die each day?

52. Between 50 and 70 BILLION! In a year, this amounts to the proliferation and subsequent destruction of a mass of cells equal to an individual's body weight. Between 50 and 70 BILLION! In a year, this amounts to the proliferation and subsequent destruction of a mass of cells equal to an individual's body weight. How many of your body cells die each day?

53. What is Jason Bourne’s real name?

54. David Webb

55. Name the most recent horse to win the Triple Crown?

56. Affirmed In 1978

57. What company is the world’s largest distributor of toys?

58. McDonalds

59. Daily Double A 0.1kg toy airplane flies around a pole, tied to a string, in a 0.5m radius circle. If the plane takes 2 seconds to circle, what is the angle between string and pole?