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Transcript
Class Notes:
What is money?
Work, Energy and Power
(Write your definition)
Wednesday, October 31, 2007
1
What is energy?
2
Work is done on an object by a force
when a FORCE is applied which
moves that object through a
DISTANCE.
(Write your definition)
Wednesday, October 31, 2007
Wednesday, October 31, 2007
3
Wednesday, October 31, 2007
4
Work is done on an object by a force
when a FORCE is applied which
moves that object through a
DISTANCE.
Work is done on an object by a force
when a FORCE is applied which
moves that object through a
DISTANCE.
Is work being done on the car?
Wednesday, October 31, 2007
5
Wednesday, October 31, 2007
6
Since both force and displacement
are vectors, the amount of work
done equals the distance moved
times the component of the force
that acts in the direction of motion.
in other words... or symbols...
W= FdCos!
W= FdCos!
Wednesday, October 31, 2007
7
Wednesday, October 31, 2007
8
How much work is done?
Wednesday, October 31, 2007
How much work is done?
9
Work can also be found by
calculating the area under a Force
vs. displacement graph.
Wednesday, October 31, 2007
Wednesday, October 31, 2007
10
Work can also be found by
calculating the area under a Force
vs. displacement graph.
11
Wednesday, October 31, 2007
12
Units
kg•m2
s2
Since W = FdCos!
or
the units of work are
N•m
kg•m2
s2
Wednesday, October 31, 2007
or
Joules
13
Wednesday, October 31, 2007
14
15
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16
The sign of work is important!
The work done on an object is
positive when the component of
force is in the same direction as
the displacement.
(! < 90°)
See Figure 5-3 in Holt page 170.
Wednesday, October 31, 2007
Energy can be defined as “the
capacity to do work”.
The sign of work is important!
The work done on an object is
negative when the component of
force is in the opposite direction of
the displacement.
(! > 90°)
Work is a measure of the energy
converted from one form to
another.
See Figure 5-3 on page 170.
Wednesday, October 31, 2007
17
Wednesday, October 31, 2007
18
Energy is a conserved quantity.
Kinetic energy is the energy of
motion.
Energy can be converted from one
form to another but the total
amount of energy will stay
constant.
Kinetic energy is defined as:
1
KE = mv
2
2
Stop Day
One
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19
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20
First, let’s define net work.
The Work-Kinetic Energy Theorem.
Sometimes called the
Work-energy principle:
W net = Fnet d
“The net work done on an object is
equal to the object’s change in
kinetic energy.”
Wednesday, October 31, 2007
21
Wednesday, October 31, 2007
22
The Work-energy principle
The Work-energy principle
W = !KE
When work is done on an object, the
object’s kinetic energy will change.
net
W net = KE f ! KE i
1
1
W = mv ! mv
2
2
2
net
Wednesday, October 31, 2007
f
If W is positive, KE will increase. If
W is negative, KE will decrease.
2
i
23
Wednesday, October 31, 2007
24
Potential Energy:
Gravitational Potential Energy:
The energy associated with an
object due to the position of the
object.
The Potential Energy associated
with an object due to the position
of the object relative to the Earth
or some other gravitational source.
Wednesday, October 31, 2007
PE
25
gravitational
= mgh
26
Elastic Potential Energy:
The Potential Energy stored in a
stretched or compressed elastic
object.
Where h is the height above some
arbitrary reference point ... usually
the ground.
Wednesday, October 31, 2007
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27
Wednesday, October 31, 2007
28
PE
elastic
1
= kx
2
The Law of Conservation of Energy
2
Energy can be transferred from
one form to another, but the total
energy remains constant.
Where k is the “spring constant”
measured in newtons per meter and
x is the distance that the spring is
stretched or compressed.
Wednesday, October 31, 2007
29
For objects affected only by
gravity and in the absence of
friction, we have a simplified
version of conservation of energy:
Power is the rate at which work
is done.
W FdCos"
P= =
!t
!t
or
2
i
Wednesday, October 31, 2007
i
f
30
Power
PEi + KEi = PEf + KEf
1
1
mgh + mv = mgh + mv
2
2
Wednesday, October 31, 2007
2
f
31
Wednesday, October 31, 2007
32
Power is measured in Joules per
second.
Power is not a measure of how
much work is done.
Power is a measure of how
quickly work is being done.
One Joule per second is also
called 1 Watt.
J
1 = 1W
s
Wednesday, October 31, 2007
33
Wednesday, October 31, 2007
Another way to calculate Power:
A commonly needed conversion:
Fd
d
P=
= F = Fv
!t
!t
1 Horsepower (HP) = 746 Watts
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35
Wednesday, October 31, 2007
34
36
The End
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37