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Physics! / Unit V / MTM

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# Momentum Transfer Model

New Fundamental Principle
New Representation: IFF Charts

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from Modeling Workshop Project © 2006

from Modeling Workshop Project

2006 !

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Unit 05 / MTM
Physics!
/
Experiment:
Crash
Cart
• V / MTM

Physics! / Unit

## Collisions, and

Modeling Workshop Project

from

3 –

a
ball
melon and emerges
has
m/s serve straight back at 25
A tennis player returns a 30
s.
If the
after making contact with the ball for 0.5
m/s,
3.
with a speed of
speed of the melon as it ﬂies
He
tank away from himself with
a mass of
speed of 2 m/s.
with a mass of 10
whose mass is 80
kg carries an
throws
astronaut
he start to move off
kg.
An
empty oxygen tank
1.
IFF Charts in
Worksheet 1:
Action
2.
18 m/s. Find the
of 30 m/s. The
it
at
with a speed
velocity does
arrow passes
through the
50 g arrow
A 2 kg melon is
His
balanced on your
son, Throckmorton,
shoots a
into space?
With what
the
the ball?
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2006 !
from Modeling Workshop Project
Unit 05 / MTM
/
Physics!
(no, seriously)
0.2 kg, what is the force she exerted on

each

to move?

the raft,

Modeling Workshop Project

block

ﬁre it horizontally into a massive

speed, traveling 0.80

bullet right

friction, we then measure the velocity with which the wood

50 g and the wood and

from

• 5. One way of

measuring the muzzle velocity

of a bullet is to

5 –
(That is, the speed
speed of the bullet.
data determine the original
10 kg.
the
cart, wood,
After the shot,
bullet moved at a constant
and

begin

In one experiment the bullet had

a mass of

to move.

of the

on a cart.

Assuming no

containing the bullet and

a combined

before it hits the cart.)

m in 0.40

swimmers simultaneously
raft
4. A
of mass
masses
80 kg.
50 kg
180 kg carries two swimmers with
and
The
raft
velocity of 3 m/s.
V / MTM
rest. The
ends of
is initially ﬂoating at
two
direction does the raft start
what
velocity and in
With what
with a horizontal
dive off opposite
Physics! / Unit

velocity. What is the change in

a very low friction ﬂoor at 2.0 m/s.

so that

Unit 05 / MTM

/

jumps off

Physics!

the

velocity of the

is moving at 2 m/s

that

direction of

kg boy, riding in the cart,

ball of mass 1 kg

A 70

the magnitude and

momentum of the cart?

from Modeling Workshop Project

after the collision?

westward. The balls stick together after the impact. What is

moving at 2 m/s eastward,

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2006 !
with zero
moving across
6. A 50 kg
he hits the ﬂoor
combined
mass
3 kg,
7. A ball
of mass
is
cart

Physics! / Unit V / MTM

## Worksheet 2: Explaining with MTM

• 8. If you throw a ball horizontally while standing on roller skates, you roll backwards. Will you roll backwards if you go through the motions of throwing the ball, but hold on to it instead? Explain your reasoning.

• 9. Which has the greater change in momentum, a 50 gram clay ball that strikes a wall at 1 m/s and sticks or a 50 gram superball that strikes a wall at 1 m/s and bounces away from the wall at 0.8 m/s? Explain your reasoning.

• 10. Why are padded dashboards safer than hard dashboards in automobiles?

• 11. Why are nylon ropes, which stretch considerably under stress, favored by mountain climbers?

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from Modeling Workshop Project © 2006

in this drama.

negligible

down

how much she weighs.

• 12. Julio (an 80 kg ice

Annoyed, Grace pushes away from Julio

champion)

Unit 05 / MTM

he slows

/

and

Physics!

to 4 m/s

in the physics sense, is

3 m/s.

on a rink at

## Problems

so that she speeds up

lasts for 0.20 seconds. Friction,

push

## Bottomless

Grace are skating together

The

and

to 2.25 m/s, in the same direction.

## Worksheet 3:

from Modeling Workshop Project

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2006 !
skating
2006
9 –
from
Modeling Workshop Project
/ MTM
Physics! / Unit
V
car
between the cars and the road).
)
µ
friction
Note: The
be approximated
of friction (
by using the coefﬁcient
force between two surfaces
sliding
can
the
and
truck
moving at 13
when
the 0.15
1200 kg
rear-ends
a
the
collision,
A 5000 kg
truck slows
13.
slick, but not completely frictionless ( µ=
2006 !
from Modeling Workshop Project
During
car
m/s.
was
to
from
down
10 –
14 m/s
is dangerously
0.1
second
(F N ). The relationship
Physics!
/
Unit 05 / MTM
is F f = µF N .
the normal force between those same two surfaces
2006
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from
Modeling Workshop Project
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