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Momentum and
Impulse
UCR MESA
Let’s start with everyday language
What do you say when a sports
team is on a roll?
They may not have the lead but
they may have ___________
MOMENTUM
A team that has momentum is
hard to stop.
What is Momentum?
An object with a lot of momentum is also
hard to stop
Momentum = p = mv
Units: kg∙m/s^2
m=mass
v=velocity
Momentum is also a vector (it has direction)
Let’s practice
• A 1200 kg car drives west at 25 m/s for 3
hours. What is the car’s momentum?
• Identify the variables:
– 1200 kg = mass
– 25m/s, west = velocity
– 3 hours = time
P = mv = 1200 x 25 = 30000 kg m/s^2, west
How hard is it to stop a moving
object?
To stop an object, we have to apply a
force over a period of time.
This is called Impulse
Impulse = FΔt Units: N∙s
F = force (N)
Δt = time elapsed (s)
How hard is it to stop a moving
object?
• Using Newton’s 2nd Law we get
FΔt= mΔv
Which means
Impulse = change in momentum
Why does an egg break or not
break?
• An egg dropped on a tile floor breaks, but an
egg dropped on a pillow does not. Why?
FΔt= mΔv
In both cases, m and Δv are the same.
If Δt goes up, what happens to F, the force?
Right! Force goes down. When dropped on a
pillow, the egg starts to slow down as soon as it
touches it. A pillow increases the time the egg
takes to stops.
Practice Problem
A 57 gram tennis ball falls on a tile floor. The ball
changes velocity from -1.2 m/s to +1.2 m/s in
0.02 s. What is the average force on the ball?
Identify the variables:
Mass = 57 g = 0.057 kg
Δvelocity = +1.2 – (-1.2) = 2.4 m/s
Time = 0.02 s
using FΔt= mΔv
F x (0.02 s) = (0.057 kg)(2.4 m/s)
F= 6.8 N
Car Crash
Would you rather be in a
head on collision with an
identical car, traveling at
the same speed as you, or
a brick wall?
Assume in both situations you
come to a complete stop.
Take a guess
http://techdigestuk.typepad.com/photos/uncategorized/car_crash.JPG
Car Crash (cont.)
Everyone should vote now
Raise one finger if you think
it is better to hit another
car, two if it’s better to hit
a wall and three if it
doesn’t matter.
And the answer is…..
Car Crash (cont.)
The answer is…
It Does Not Matter!
Look at FΔt= mΔv
In both situations, Δt, m, and Δv
are the same! The time it
takes you to stop depends on
your car, m is the mass of
your car, and Δv depends on
how fast you were initially
traveling.
Egg Drop connection
• How are you going to use this in your egg
drop?
Which of these variables can you control?
FΔt= mΔv
Which of them do you want to maximize,
which do you want to minimize
(note: we are looking at the force on the
egg. Therefore, m represents the egg
mass, not the entire mass of the project)
From the California Standards Test
Copyright © 2004 California Department of Education.
From the California Standards Test
Copyright © 2004 California Department of Education.
From the California Standards Test
Copyright © 2004 California Department of Education.

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3.1.Momentum_and_Impulse-PowerPoint.ppt

  • 2. Let’s start with everyday language What do you say when a sports team is on a roll? They may not have the lead but they may have ___________ MOMENTUM A team that has momentum is hard to stop.
  • 3. What is Momentum? An object with a lot of momentum is also hard to stop Momentum = p = mv Units: kg∙m/s^2 m=mass v=velocity Momentum is also a vector (it has direction)
  • 4. Let’s practice • A 1200 kg car drives west at 25 m/s for 3 hours. What is the car’s momentum? • Identify the variables: – 1200 kg = mass – 25m/s, west = velocity – 3 hours = time P = mv = 1200 x 25 = 30000 kg m/s^2, west
  • 5. How hard is it to stop a moving object? To stop an object, we have to apply a force over a period of time. This is called Impulse Impulse = FΔt Units: N∙s F = force (N) Δt = time elapsed (s)
  • 6. How hard is it to stop a moving object? • Using Newton’s 2nd Law we get FΔt= mΔv Which means Impulse = change in momentum
  • 7. Why does an egg break or not break? • An egg dropped on a tile floor breaks, but an egg dropped on a pillow does not. Why? FΔt= mΔv In both cases, m and Δv are the same. If Δt goes up, what happens to F, the force? Right! Force goes down. When dropped on a pillow, the egg starts to slow down as soon as it touches it. A pillow increases the time the egg takes to stops.
  • 8. Practice Problem A 57 gram tennis ball falls on a tile floor. The ball changes velocity from -1.2 m/s to +1.2 m/s in 0.02 s. What is the average force on the ball? Identify the variables: Mass = 57 g = 0.057 kg Δvelocity = +1.2 – (-1.2) = 2.4 m/s Time = 0.02 s using FΔt= mΔv F x (0.02 s) = (0.057 kg)(2.4 m/s) F= 6.8 N
  • 9. Car Crash Would you rather be in a head on collision with an identical car, traveling at the same speed as you, or a brick wall? Assume in both situations you come to a complete stop. Take a guess http://techdigestuk.typepad.com/photos/uncategorized/car_crash.JPG
  • 10. Car Crash (cont.) Everyone should vote now Raise one finger if you think it is better to hit another car, two if it’s better to hit a wall and three if it doesn’t matter. And the answer is…..
  • 11. Car Crash (cont.) The answer is… It Does Not Matter! Look at FΔt= mΔv In both situations, Δt, m, and Δv are the same! The time it takes you to stop depends on your car, m is the mass of your car, and Δv depends on how fast you were initially traveling.
  • 12. Egg Drop connection • How are you going to use this in your egg drop? Which of these variables can you control? FΔt= mΔv Which of them do you want to maximize, which do you want to minimize (note: we are looking at the force on the egg. Therefore, m represents the egg mass, not the entire mass of the project)
  • 13. From the California Standards Test Copyright © 2004 California Department of Education.
  • 14. From the California Standards Test Copyright © 2004 California Department of Education.
  • 15. From the California Standards Test Copyright © 2004 California Department of Education.