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
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
