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Momentum
                           and Collision
                               Mr. Sullivan
                              Pre-AP Physics
                              Grades 10-12




Thursday, April 14, 2011
Today’s Objectives




Thursday, April 14, 2011
Today’s Objectives
                           Understand the ideas of (a) momentum, (b) conservation of
                           momentum, and conversation of momentum in (c) elastic and
                           inelastic collisions.




Thursday, April 14, 2011
Today’s Objectives
                           Understand the ideas of (a) momentum, (b) conservation of
                           momentum, and conversation of momentum in (c) elastic and
                           inelastic collisions.

                           Interpret questions related to real life examples of (a) momentum,
                           (b) conser vation of momentum, (c) inelastic collisions, and elastic
                           collisions.




Thursday, April 14, 2011
Today’s Objectives
                           Understand the ideas of (a) momentum, (b) conservation of
                           momentum, and conversation of momentum in (c) elastic and
                           inelastic collisions.

                           Interpret questions related to real life examples of (a) momentum,
                           (b) conser vation of momentum, (c) inelastic collisions, and elastic
                           collisions.

                           Compose a logical procedure to solve for required information from
                           prior questions.




Thursday, April 14, 2011
Today’s Objectives
                           Understand the ideas of (a) momentum, (b) conservation of
                           momentum, and conversation of momentum in (c) elastic and
                           inelastic collisions.

                           Interpret questions related to real life examples of (a) momentum,
                           (b) conser vation of momentum, (c) inelastic collisions, and elastic
                           collisions.

                           Compose a logical procedure to solve for required information from
                           prior questions.

                           Design and Reconstruct personal examples of momentum,
                           conservation of momentum, inelastic collisions, and elastic
                           collisions.



Thursday, April 14, 2011
What is Momentum?




Thursday, April 14, 2011
What is Momentum?
                           Momentum is the vector quantity that represents a
                           mass with a velocity at specific moment in time.




Thursday, April 14, 2011
What is Momentum?
                           Momentum is the vector quantity that represents a
                           mass with a velocity at specific moment in time.

                                                 Or




Thursday, April 14, 2011
What is Momentum?
                           Momentum is the vector quantity that represents a
                           mass with a velocity at specific moment in time.

                                                 Or

                                   Momentum is mass in motion.




Thursday, April 14, 2011
How do we represent
                              momentum?
                            We represent momentum with the equation...

                                             p=mxv

                                              Where,

                                     p = momentum (kg x m/s)

                                          m = mass (kg)

                                       and v = velocity (m/s)


Thursday, April 14, 2011
What are some real
                           world examples of
                             momentum?



Thursday, April 14, 2011
Example problem
                           What is the momentum of a 747 jet (400,000 kg)
                           that is traveling south from Dallas to Houston at a
                                    velocity of 900 km/h (250 m/s)?




Thursday, April 14, 2011
Example problem
                            What is the momentum of a 747 jet (400,000 kg)
                            that is traveling south from Dallas to Houston at a
                                     velocity of 900 km/h (250 m/s)?

                           First Define the variables and draw a diagram.




Thursday, April 14, 2011
Example problem
                            What is the momentum of a 747 jet (400,000 kg)
                            that is traveling south from Dallas to Houston at a
                                     velocity of 900 km/h (250 m/s)?

                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.




Thursday, April 14, 2011
Example problem
                            What is the momentum of a 747 jet (400,000 kg)
                            that is traveling south from Dallas to Houston at a
                                     velocity of 900 km/h (250 m/s)?

                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.
                             The Unknown or what are we solving for.




Thursday, April 14, 2011
Example problem
                            What is the momentum of a 747 jet (400,000 kg)
                            that is traveling south from Dallas to Houston at a
                                     velocity of 900 km/h (250 m/s)?

                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.
                            The Unknown or what are we solving for.
                            Second Define the equation we need to use.




Thursday, April 14, 2011
Example problem
                            What is the momentum of a 747 jet (400,000 kg)
                            that is traveling south from Dallas to Houston at a
                                     velocity of 900 km/h (250 m/s)?

                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.
               The Unknown or what are we solving for.
              Second Define the equation we need to use.
      Third Plug in the known values and solve for the unknown.



Thursday, April 14, 2011
Example problem
                            What is the momentum of a 747 jet (400,000 kg)
                            that is traveling south from Dallas to Houston at a
                                     velocity of 900 km/h (250 m/s)?

                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.
               The Unknown or what are we solving for.
              Second Define the equation we need to use.
      Third Plug in the known values and solve for the unknown.
                  Last does your answer make sense?


Thursday, April 14, 2011
Answer
                           The 747 jet has a momentum of
                                100,000,000 kg x m/s
                              in the southern direction.




Thursday, April 14, 2011
What is conservation
                             of momentum?




Thursday, April 14, 2011
What is conservation
                             of momentum?
                                The conservation of momentum is the
                           fundamental law that objects acting in a closed
                              system will maintain momentum through
                             collisions with other objects in the system.




Thursday, April 14, 2011
What is conservation
                             of momentum?
                                The conservation of momentum is the
                           fundamental law that objects acting in a closed
                              system will maintain momentum through
                             collisions with other objects in the system.

                                                Or




Thursday, April 14, 2011
What is conservation
                             of momentum?
                                The conservation of momentum is the
                           fundamental law that objects acting in a closed
                              system will maintain momentum through
                             collisions with other objects in the system.

                                                Or
                              When t wo objects collide the starting
                           momentum of the objects will be the same as
                             the finishing momentum of the objects.


Thursday, April 14, 2011
How do we represent
                 conservation of momentum?
                           We represent conservation of momentum of
                                t wo objects with the equation...

                                            p1i + p2i = p1f + p2f
                                                    Where,
                                     p1i = the initial momentum of object 1
                                     p2i = the initial momentum of object 2
                                     p1f = the final momentum of object 1
                                     p2f = the final momentum of object 2
                                     The Equation can also be written as...


                             (m1 x v1i) +(m2 x v2i) = (m1 x v1f) + (m2 x v2f)
Thursday, April 14, 2011
What is the difference bet ween
                elastic and inelastic collisions?




Thursday, April 14, 2011
What is the difference bet ween
                elastic and inelastic collisions?
                           An elastic collision is when objects
                                collide and bounce apart.




Thursday, April 14, 2011
What is the difference bet ween
                elastic and inelastic collisions?
                               An elastic collision is when objects
                                    collide and bounce apart.

                           Such as when a tennis ball hits a racket.




Thursday, April 14, 2011
What is the difference bet ween
                elastic and inelastic collisions?
                               An elastic collision is when objects
                                    collide and bounce apart.

                           Such as when a tennis ball hits a racket.

                             An inelastic collision is when objects
                                  collide they stick together.




Thursday, April 14, 2011
What is the difference bet ween
                elastic and inelastic collisions?
                               An elastic collision is when objects
                                    collide and bounce apart.

                           Such as when a tennis ball hits a racket.

                             An inelastic collision is when objects
                                  collide they stick together.

                           Such as when someone jumps into a boat
                                        sitting still.

Thursday, April 14, 2011
What are some real
                           world examples of
                            conservation of
                              momentum?

Thursday, April 14, 2011
Example Problem
                           Ann (65 kg) is roller skating west at 12 m/s, and hits
                           Joe (49 kg) who is also on skates but who was
                           standing still. Ann comes to complete stop after she
                           hits Joe. What is Joe’s velocity after the collision?




Thursday, April 14, 2011
Example Problem
                           Ann (65 kg) is roller skating west at 12 m/s, and hits
                           Joe (49 kg) who is also on skates but who was
                           standing still. Ann comes to complete stop after she
                           hits Joe. What is Joe’s velocity after the collision?
                           First Define the variables and draw a diagram.




Thursday, April 14, 2011
Example Problem
                           Ann (65 kg) is roller skating west at 12 m/s, and hits
                           Joe (49 kg) who is also on skates but who was
                           standing still. Ann comes to complete stop after she
                           hits Joe. What is Joe’s velocity after the collision?
                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.




Thursday, April 14, 2011
Example Problem
                           Ann (65 kg) is roller skating west at 12 m/s, and hits
                           Joe (49 kg) who is also on skates but who was
                           standing still. Ann comes to complete stop after she
                           hits Joe. What is Joe’s velocity after the collision?
                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.
                             The Unknown or what are we solving for.




Thursday, April 14, 2011
Example Problem
                           Ann (65 kg) is roller skating west at 12 m/s, and hits
                           Joe (49 kg) who is also on skates but who was
                           standing still. Ann comes to complete stop after she
                           hits Joe. What is Joe’s velocity after the collision?
                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.
                            The Unknown or what are we solving for.
                            Second Define the equation we need to use.




Thursday, April 14, 2011
Example Problem
                           Ann (65 kg) is roller skating west at 12 m/s, and hits
                           Joe (49 kg) who is also on skates but who was
                           standing still. Ann comes to complete stop after she
                           hits Joe. What is Joe’s velocity after the collision?
                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.
               The Unknown or what are we solving for.
              Second Define the equation we need to use.
      Third Plug in the known values and solve for the unknown.



Thursday, April 14, 2011
Example Problem
                           Ann (65 kg) is roller skating west at 12 m/s, and hits
                           Joe (49 kg) who is also on skates but who was
                           standing still. Ann comes to complete stop after she
                           hits Joe. What is Joe’s velocity after the collision?
                           First Define the variables and draw a diagram.
                             The Known or what values are given to us.
               The Unknown or what are we solving for.
              Second Define the equation we need to use.
      Third Plug in the known values and solve for the unknown.
                  Last does your answer make sense?

Thursday, April 14, 2011
Answer
                           Joe will be rolling at 15.9 m/s west.




Thursday, April 14, 2011
Same Question




Thursday, April 14, 2011
Same Question
                           Except now Ann grabs on too Joe and they start
                            rolling together. What is the resulting velocity
                                       of the t wo roller skaters?




Thursday, April 14, 2011
Same Question
                           Except now Ann grabs on too Joe and they start
                            rolling together. What is the resulting velocity
                                       of the t wo roller skaters?


                                         Answer


Thursday, April 14, 2011
Same Question
                           Except now Ann grabs on too Joe and they start
                            rolling together. What is the resulting velocity
                                       of the t wo roller skaters?


                                         Answer
                      Ann and Joe are rolling at 6.8 m/s to the west.



Thursday, April 14, 2011
Review




Thursday, April 14, 2011
Review
                           Momentum is mass in motion




Thursday, April 14, 2011
Review
                           Momentum is mass in motion
                                  p=mxv




Thursday, April 14, 2011
Review
                               Momentum is mass in motion
                                       p=mxv
                           Conser vation of momentum means
                           the starting momentum equals the
                                   ending momentum.




Thursday, April 14, 2011
Review
                                    Momentum is mass in motion
                                             p=mxv
                             Conser vation of momentum means
                             the starting momentum equals the
                                     ending momentum.
                                         p1i + p2i = p1f + p2f
                           (m1 x v1i) +(m2 x v2i) = (m1 x v1f) + (m2 x v2f)




Thursday, April 14, 2011
Review




Thursday, April 14, 2011
Review
                           An elastic collision is when objects move
                              separately even after a collision




Thursday, April 14, 2011
Review
                             An elastic collision is when objects move
                                separately even after a collision

                           An inelastic collision is when objects move
                            together as one mass after a collision.




Thursday, April 14, 2011
Furthering Your
                                   Understanding
                           You Tube Videos:

                           http://www.youtube.com/watch?v=eQ3RfKPPO2o

                           http://www.youtube.com/watch?
                           v=UcFz1L4BFcA&feature=related

                           http://www.youtube.com/watch?
                           v=mR8kDvCmHQA&feature=




Thursday, April 14, 2011

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Practice Lesson Plan

  • 1. Momentum and Collision Mr. Sullivan Pre-AP Physics Grades 10-12 Thursday, April 14, 2011
  • 3. Today’s Objectives Understand the ideas of (a) momentum, (b) conservation of momentum, and conversation of momentum in (c) elastic and inelastic collisions. Thursday, April 14, 2011
  • 4. Today’s Objectives Understand the ideas of (a) momentum, (b) conservation of momentum, and conversation of momentum in (c) elastic and inelastic collisions. Interpret questions related to real life examples of (a) momentum, (b) conser vation of momentum, (c) inelastic collisions, and elastic collisions. Thursday, April 14, 2011
  • 5. Today’s Objectives Understand the ideas of (a) momentum, (b) conservation of momentum, and conversation of momentum in (c) elastic and inelastic collisions. Interpret questions related to real life examples of (a) momentum, (b) conser vation of momentum, (c) inelastic collisions, and elastic collisions. Compose a logical procedure to solve for required information from prior questions. Thursday, April 14, 2011
  • 6. Today’s Objectives Understand the ideas of (a) momentum, (b) conservation of momentum, and conversation of momentum in (c) elastic and inelastic collisions. Interpret questions related to real life examples of (a) momentum, (b) conser vation of momentum, (c) inelastic collisions, and elastic collisions. Compose a logical procedure to solve for required information from prior questions. Design and Reconstruct personal examples of momentum, conservation of momentum, inelastic collisions, and elastic collisions. Thursday, April 14, 2011
  • 8. What is Momentum? Momentum is the vector quantity that represents a mass with a velocity at specific moment in time. Thursday, April 14, 2011
  • 9. What is Momentum? Momentum is the vector quantity that represents a mass with a velocity at specific moment in time. Or Thursday, April 14, 2011
  • 10. What is Momentum? Momentum is the vector quantity that represents a mass with a velocity at specific moment in time. Or Momentum is mass in motion. Thursday, April 14, 2011
  • 11. How do we represent momentum? We represent momentum with the equation... p=mxv Where, p = momentum (kg x m/s) m = mass (kg) and v = velocity (m/s) Thursday, April 14, 2011
  • 12. What are some real world examples of momentum? Thursday, April 14, 2011
  • 13. Example problem What is the momentum of a 747 jet (400,000 kg) that is traveling south from Dallas to Houston at a velocity of 900 km/h (250 m/s)? Thursday, April 14, 2011
  • 14. Example problem What is the momentum of a 747 jet (400,000 kg) that is traveling south from Dallas to Houston at a velocity of 900 km/h (250 m/s)? First Define the variables and draw a diagram. Thursday, April 14, 2011
  • 15. Example problem What is the momentum of a 747 jet (400,000 kg) that is traveling south from Dallas to Houston at a velocity of 900 km/h (250 m/s)? First Define the variables and draw a diagram. The Known or what values are given to us. Thursday, April 14, 2011
  • 16. Example problem What is the momentum of a 747 jet (400,000 kg) that is traveling south from Dallas to Houston at a velocity of 900 km/h (250 m/s)? First Define the variables and draw a diagram. The Known or what values are given to us. The Unknown or what are we solving for. Thursday, April 14, 2011
  • 17. Example problem What is the momentum of a 747 jet (400,000 kg) that is traveling south from Dallas to Houston at a velocity of 900 km/h (250 m/s)? First Define the variables and draw a diagram. The Known or what values are given to us. The Unknown or what are we solving for. Second Define the equation we need to use. Thursday, April 14, 2011
  • 18. Example problem What is the momentum of a 747 jet (400,000 kg) that is traveling south from Dallas to Houston at a velocity of 900 km/h (250 m/s)? First Define the variables and draw a diagram. The Known or what values are given to us. The Unknown or what are we solving for. Second Define the equation we need to use. Third Plug in the known values and solve for the unknown. Thursday, April 14, 2011
  • 19. Example problem What is the momentum of a 747 jet (400,000 kg) that is traveling south from Dallas to Houston at a velocity of 900 km/h (250 m/s)? First Define the variables and draw a diagram. The Known or what values are given to us. The Unknown or what are we solving for. Second Define the equation we need to use. Third Plug in the known values and solve for the unknown. Last does your answer make sense? Thursday, April 14, 2011
  • 20. Answer The 747 jet has a momentum of 100,000,000 kg x m/s in the southern direction. Thursday, April 14, 2011
  • 21. What is conservation of momentum? Thursday, April 14, 2011
  • 22. What is conservation of momentum? The conservation of momentum is the fundamental law that objects acting in a closed system will maintain momentum through collisions with other objects in the system. Thursday, April 14, 2011
  • 23. What is conservation of momentum? The conservation of momentum is the fundamental law that objects acting in a closed system will maintain momentum through collisions with other objects in the system. Or Thursday, April 14, 2011
  • 24. What is conservation of momentum? The conservation of momentum is the fundamental law that objects acting in a closed system will maintain momentum through collisions with other objects in the system. Or When t wo objects collide the starting momentum of the objects will be the same as the finishing momentum of the objects. Thursday, April 14, 2011
  • 25. How do we represent conservation of momentum? We represent conservation of momentum of t wo objects with the equation... p1i + p2i = p1f + p2f Where, p1i = the initial momentum of object 1 p2i = the initial momentum of object 2 p1f = the final momentum of object 1 p2f = the final momentum of object 2 The Equation can also be written as... (m1 x v1i) +(m2 x v2i) = (m1 x v1f) + (m2 x v2f) Thursday, April 14, 2011
  • 26. What is the difference bet ween elastic and inelastic collisions? Thursday, April 14, 2011
  • 27. What is the difference bet ween elastic and inelastic collisions? An elastic collision is when objects collide and bounce apart. Thursday, April 14, 2011
  • 28. What is the difference bet ween elastic and inelastic collisions? An elastic collision is when objects collide and bounce apart. Such as when a tennis ball hits a racket. Thursday, April 14, 2011
  • 29. What is the difference bet ween elastic and inelastic collisions? An elastic collision is when objects collide and bounce apart. Such as when a tennis ball hits a racket. An inelastic collision is when objects collide they stick together. Thursday, April 14, 2011
  • 30. What is the difference bet ween elastic and inelastic collisions? An elastic collision is when objects collide and bounce apart. Such as when a tennis ball hits a racket. An inelastic collision is when objects collide they stick together. Such as when someone jumps into a boat sitting still. Thursday, April 14, 2011
  • 31. What are some real world examples of conservation of momentum? Thursday, April 14, 2011
  • 32. Example Problem Ann (65 kg) is roller skating west at 12 m/s, and hits Joe (49 kg) who is also on skates but who was standing still. Ann comes to complete stop after she hits Joe. What is Joe’s velocity after the collision? Thursday, April 14, 2011
  • 33. Example Problem Ann (65 kg) is roller skating west at 12 m/s, and hits Joe (49 kg) who is also on skates but who was standing still. Ann comes to complete stop after she hits Joe. What is Joe’s velocity after the collision? First Define the variables and draw a diagram. Thursday, April 14, 2011
  • 34. Example Problem Ann (65 kg) is roller skating west at 12 m/s, and hits Joe (49 kg) who is also on skates but who was standing still. Ann comes to complete stop after she hits Joe. What is Joe’s velocity after the collision? First Define the variables and draw a diagram. The Known or what values are given to us. Thursday, April 14, 2011
  • 35. Example Problem Ann (65 kg) is roller skating west at 12 m/s, and hits Joe (49 kg) who is also on skates but who was standing still. Ann comes to complete stop after she hits Joe. What is Joe’s velocity after the collision? First Define the variables and draw a diagram. The Known or what values are given to us. The Unknown or what are we solving for. Thursday, April 14, 2011
  • 36. Example Problem Ann (65 kg) is roller skating west at 12 m/s, and hits Joe (49 kg) who is also on skates but who was standing still. Ann comes to complete stop after she hits Joe. What is Joe’s velocity after the collision? First Define the variables and draw a diagram. The Known or what values are given to us. The Unknown or what are we solving for. Second Define the equation we need to use. Thursday, April 14, 2011
  • 37. Example Problem Ann (65 kg) is roller skating west at 12 m/s, and hits Joe (49 kg) who is also on skates but who was standing still. Ann comes to complete stop after she hits Joe. What is Joe’s velocity after the collision? First Define the variables and draw a diagram. The Known or what values are given to us. The Unknown or what are we solving for. Second Define the equation we need to use. Third Plug in the known values and solve for the unknown. Thursday, April 14, 2011
  • 38. Example Problem Ann (65 kg) is roller skating west at 12 m/s, and hits Joe (49 kg) who is also on skates but who was standing still. Ann comes to complete stop after she hits Joe. What is Joe’s velocity after the collision? First Define the variables and draw a diagram. The Known or what values are given to us. The Unknown or what are we solving for. Second Define the equation we need to use. Third Plug in the known values and solve for the unknown. Last does your answer make sense? Thursday, April 14, 2011
  • 39. Answer Joe will be rolling at 15.9 m/s west. Thursday, April 14, 2011
  • 41. Same Question Except now Ann grabs on too Joe and they start rolling together. What is the resulting velocity of the t wo roller skaters? Thursday, April 14, 2011
  • 42. Same Question Except now Ann grabs on too Joe and they start rolling together. What is the resulting velocity of the t wo roller skaters? Answer Thursday, April 14, 2011
  • 43. Same Question Except now Ann grabs on too Joe and they start rolling together. What is the resulting velocity of the t wo roller skaters? Answer Ann and Joe are rolling at 6.8 m/s to the west. Thursday, April 14, 2011
  • 45. Review Momentum is mass in motion Thursday, April 14, 2011
  • 46. Review Momentum is mass in motion p=mxv Thursday, April 14, 2011
  • 47. Review Momentum is mass in motion p=mxv Conser vation of momentum means the starting momentum equals the ending momentum. Thursday, April 14, 2011
  • 48. Review Momentum is mass in motion p=mxv Conser vation of momentum means the starting momentum equals the ending momentum. p1i + p2i = p1f + p2f (m1 x v1i) +(m2 x v2i) = (m1 x v1f) + (m2 x v2f) Thursday, April 14, 2011
  • 50. Review An elastic collision is when objects move separately even after a collision Thursday, April 14, 2011
  • 51. Review An elastic collision is when objects move separately even after a collision An inelastic collision is when objects move together as one mass after a collision. Thursday, April 14, 2011
  • 52. Furthering Your Understanding You Tube Videos: http://www.youtube.com/watch?v=eQ3RfKPPO2o http://www.youtube.com/watch? v=UcFz1L4BFcA&feature=related http://www.youtube.com/watch? v=mR8kDvCmHQA&feature= Thursday, April 14, 2011