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WORK
Chapter Eight: Work
8.1 Work
8.2 Efficiency and Power
Chapter 8.1 Learning Goals
Tell what it means to “do work” in a
scientific sense.
Apply an equation to determine the
amount of work done by a force.
Infer that work requires energy.
Investigation 8A
Manipulating Forces
Key Question:
How do simple machines work?
8.1 Work
In science, work is a
form of energy you
either use or get when
a force is applied over
a distance.
You do 1 joule of work
if you push with a
force of 1 newton for
a distance of 1 meter.
8.1 Work
When thinking about work, remember that
work is done by forces that cause
movement.
If nothing moves (distance is zero), then
no work is done.
8.1 Work
Force (N)
Work (joules)
W=Fxd
Distance (m)
8.1 Work and energy
Doing work always means transferring
energy.
The energy may be transferred to the object
you apply the force to, or it may go
somewhere else.
8.1 Work and energy
You can do work to
increase an object’s
potential energy.
Then the potential
energy can be
converted to kinetic
energy.
8.1 Work
A raised object’s potential
energy equals the amount of
work it can do as it moves
down.
The amount of kinetic energy
an object has equals the
amount of work the object
can do by exerting force as it
stops.
8.1 Work
If force is equivalent to the
weight of the object in
newtons, and
height (h) is equivalent to
distance (d),
Then multiplying the weight
by height gives you the
amount of work the object
can accomplish as it moves
down (as well as its potential
energy).
8.1 Work
Force A does no work
because it does not
cause the block to move.
Force B is applied at an
angle to the direction of
motion, so only part of
force B does work.
The most effective force
to move the block is
force C.
Solving Problems
How much work is done by a person
who pulls a cart with a force of 50
newtons if the cart moves 20 meters
in the direction of the force?
Solving Problems
1. Looking for:
…work done by person
2. Given:
…force = 50 N (forward);
…distance = 20 m
3. Relationships:
Work = force x distance
4. Solution
50 N × 20 m = 1,000 joules.
Chapter Eight: Work
8.1 Work
8.2 Efficiency and Power
Chapter 8.2 Learning Goals
Describe the relationship between
work and power.
Apply a rule to determine the amount
of power required to do work.
Explain the meaning of efficiency in
terms of input and output work.
Investigation 8B
Work
Key Question:
How can a machine
multiply forces?
8.2 Efficiency and Power
Every process that is done by machines can
be simplified in terms of work:
1. work input: the work or energy supplied to
the process (or machine).
2. work output: the work or energy that comes
out of the process (or machine).
8.2 Efficiency and Power
A rope and pulley
machine illustrates a
rule that is true for all
processes that
transform energy.
The total energy or
work output can never
be greater than the total
energy or work input.
8.2 Efficiency
65% of the energy in
gasoline is converted
to heat.
As far as moving the
car goes, this heat
energy is “lost”.
The energy doesn’t
vanish, it just does
not appear as useful
output work.
8.2 Efficiency
The efficiency of a machine is the
ratio of usable output work divided by
total input work.
Efficiency is usually expressed in
percent.
Output work (J)
efficiency = Wo
Wi
Input work (J)
x 100%
Solving Problems
You see a newspaper advertisement for a
new, highly efficient machine. The
machine claims to produce 2,000 joules of
output work for every 2,100 joules of
input work.
What is the efficiency of this machine?
Is it as efficient as a bicycle?
Do you believe the advertisement’s claim?
Why or why not?
Solving Problems
1. Looking for:
…efficiency of machine
2. Given:
…Wi = 2100 J, Wo = 2000 J
3. Relationships:
% efficiency = Wo x 100
Wi
4. Solution
2000 J ÷ 2100 J x 100 = 95% efficient
8.2 Power
The rate at which work is done is
called power.
It makes a difference how fast you
do work.
8.2 Power
Michael and Jim do
the same amount of
work.
Jim’s power is
greater because he
gets the work done in
less time.
8.2 Power
Power is calculated in watts.
One watt (W) is equal to 1 joule of work per
second.
James Watt, a Scottish engineer, invented
the steam engine.
Jame Watt explained power as the number
of horses his engine could replace.
One horsepower still equals 746 watts.
8.2 Power
Work (joules)
Power (watts)
P =W
t
Time (s)
Solving Problems
Allen lifts his weight
(500 newtons) up a
staircase that is 5 meters
high in 30 seconds.
How much power does
he use?
How does his power
compare with a 100-watt
light bulb?
Solving Problems
1. Looking for:
…power
2. Given:
Fweight= 500 N; d = 5 m, t = 30 s
3. Relationships:
W = F x d; P = W ÷ t
4. Solution
W = 500 N x 5 m = 2500 Nm
P = 2500 Nm ÷ 30 s = 83 watts
Allen’s power is less than a 100-watt light bulb.
Investigation 8C
People Power
Key Question:
What’s your work and
power as you climb a
flight of stairs?
Human-powered Transportation
When we move our bodies along, whether by
walking, swimming, or skiing, we exert forces
over a distance and do work.