1. Chapter 6 Momentum Impulse Impulse Changes Momentum Bouncing
Conservation of Momentum
Collisions

2. Momentum Momentum: Inertia in motion - or - mass in motion .
Carries the notion of both mass (inertia) and velocity (motion)
Momentum = mass x velocity
(momentum is in the same direction as the velocity)
Momentum = mv Or
Momentum = mass x speed
(if you don’t care about the direction)
Momentum is a vector!!
A 20 kg object moving at 10 m/s has a momentum of
Something massive moving fast carries a lot of momentum
Something REALLY massive moving not so fast carries a lot of momentum.
Something with little mass doesn’t carry much momentum unless it goes fast.
Video: Definition of Momentum

3. Impulse Given that … Momentum = mv
If velocity changes, momentum changes, and acceleration (either + or –) occurs
But we know:
for acceleration to occur, a force has to be applied.
If a given force is applied over a longer time, more acceleration occurs.
IMPULSE is a measure of how much force is applied for how much time, and it’s equal to the change in momentum.
Impulse = Force x time Or
Impulse = F x t
A force applied over time will change the momentum of an object:

4. Impulse examples
Follow through increases the time of collision and the impulse
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5. Question 1

6. Question 1 Answer

7. Impulse changes Momentum
A greater impulse exerted on an object
A greater change in momentum OR
Impulse = Change in momentum OR
Greek symbol “Delta”
Means “the change in…”
Impulse = Δ(mv)
Impulse can be exerted on an object to either INCREASE or DECREASE its momentum.

8. Case 1: Increasing Momentum
Examples:
Hitting a golf ball:
Apply the greatest force possible for the longest time possible.
Accelerates the ball from 0 to high speed in a very short time.
The impulse of the bat decelerates the ball and accelerates it in the opposite direction very quickly.
Baseball and bat:
Video: Changing Momentum – Follow Through

9. Case 2: Decreasing Momentum
It takes an impulse to change momentum, and
Remember … Impulse = F x t
If you want to stop something’s motion, you can apply a LOT of force over a short time,
Or, you can apply a little force over a longer time.
Remember, things BREAK if you apply a lot of force to them.

10. Case 3: Decreasing Momentum over a Short Time
If the boxer moves away from the punch, he extends the time and decreases the force while stopping the punch.
If he moves toward the punch, he decreases the time and increases the force
The airbag extends the time over which the impulse is exerted and decreases the force.
Hitting the bricks with a sharp karate blow very quickly maximizes the force exerted on the bricks and helps to break them.

11. Bouncing Think about a bouncing ball: Total Impulse = 2mv
After it leaves the ground:
Speed = v
Momentum = mv
Before it hits the ground:
Speed = v
Momentum = mv
At the moment it hits the ground:
Speed = 0
Momentum = 0
Impulse needed to accelerate the ball upwoard = mv
Impulse needed to stop the ball = mv
Total Impulse = 2mv
Important point: It only takes an impulse of mv to stop the ball. It takes twice that much (2mv) to make it bounce)
(Maybe why basketballs don’t bounce so well on gravel)
Video: Definition of Momentum

12. Other Bouncing Examples
From book:
Pendulum and block
Pelton Wheel
Flower Pot on Head
Also:
Pool Ball off a cushion (linked to applet)
(Ignore the rotational motion for now)

13. Question 1

14. Question 1 Answer

15. Conservation of Momentum
If no net external force (same as saying “no net impulse”) acts on a system, the system’s momentum cannot change.
Momentum = 0 before the shot
And after the shot
Cannon’s momentum
Shell’s momentum (equal and opposite)
Cart and bricks applet
After the bricks fall on the cart, the momentum of the cart-brick system will still be the same.

16. Collisions
Net momentum before collision = net momentum after collision
2 billiard balls collide head on
momentum is zero before and after
Elastic collisions
- No kinetic energy lost to heat, etc
1 billiard balls collide with a stationary one
momentum is the same before and after
2 billiard balls moving in the same direction collide
momentum is the same before and after
Upon collision, the cars stick together
The total mass moves slower, but the momentum of the 2 cars together is the same as the momentum of the system before the collision.
Inelastic collisions
- Some kinetic energy lost to heat, etc

17. More Complicated Collisions
Colliding at an angle:
The momentum vectors of car A and B add together to give the resultant momentum of the system.
Momentum of car A
Resultant Momentum
The ”exploding object”:
Momentum of car A
The firecracker is initially falling
After the explosion, the momenta of the pieces add.
The total momentum of the “system” of pieces is the same as the original momentum of the firecracker.