Objective
The learners should able to:
Calculate the mass,
velocity and momentum of
an object.
Momentum
is what Newton called the
“quantity of motion” or the
“inertia of motion” of an
object.
Is a quantity that
describes an object’s
resistance to stopping
All objects have mass; so if an object
is moving, then it has momentum -it
has its mass in motion.
The amount of momentum which
an object has is dependent upon
two variables:
how much matter is moving?
how fast the matter is moving?
Momentum
The momentumof an object:
Depends on the object’s mass.
Momentum is directly proportional
to mass.
Depends on the object’s velocity.
Momentum is directly proportional
to velocity.
Momentum and Inertia
Inertiais property of mass that
resists changes in velocity; inertia
depends only on mass.
Inertia is a scalar quantity, it has
only magnitude
Momentum is a property of moving
mass that resists changes in a moving
object’s velocity.
Momentum is a vector quantity, it
has magnitude and direction
Momentum
In symbols:
p = mv
p
mv
Common units of
momentum:
kg ( m/s)
Sample problem
Which has more momentum,
a truck with a mass of
20000kg moving at 30,000
m/s
or a truck with a mass of
10000kg moving at 30,000
m/s?
Impulse
The impulseexerted on an object
depends on:
The forceacting on the object.
Impulse is directly proportionalto force.
The timethat the force acts.
Impulse is directly proportionalto time.
Impulse
In symbols:
I = Ft
I
Ft
Impulse & Momentum
In symbols:
I = Dp
Impulse
Impulse is a vectorquantity.
Common units of impulse: N s
Conservation of Momentum
Since impulse = change in
momentum, If noimpulseis exerted
on an object, the momentum of the
object will notchange.
Conservation of Momentum
If noexternal forcesact on
a system, the total
momentumof the system
will notchange.
Conservation of Momentum
Internalforces can never
change the total
momentumof a system.
Conservation of Momentum
Momentum
after= Momentum
before
Cart and
Brick
In the collision between the cart and the dropped brick,
total system momentum is conserved.
Before the collision, the momentum of the cart is 60
kg*cm/s and the momentum of the dropped brick is 0
kg*cm/s; the total system momentum is 60 kg*cm/s.
After the collision, the momentum of the cart is 20.0
kg*cm/s and the momentum of the dropped brick is 40.0
kg*cm/s; the total system momentum is 60 kg*cm/s. The
momentum of the cart-dropped brick system is conserved.
The momentum lost by the cart (40 kg*cm/s) is gained by
the dropped brick.