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Hello, I have a very bright 8th grade
student who asked me something I can't
answer. If one were to put some sort of
mechanism underneath a big rock that converted
the pressure of the rock against the earth into
electricity, then how is that not some sort of
perpetual energy source? The gravitational
potential energy is not changing if the rock is
not moving; yet the pressure it exerts must be a
kind of energy that can be theoretically
converted into electricity, no? The gravitational
energy does not "wear out" in this situation...
so isn't that a perpetual energy source?
I'm just not sure how to answer his question.
He and I both think we understand the basic
concepts of gravitational potential energy and
kinetic energy. Any guidance you can give us on
answering his question would be most appreciated.
thank you!
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Question Date: 2008-04-22 | | Answer 1:
From the way you ask your question I am
guessing that you realize the answer is no - this
is not a perpetual energy source. To understand
why, think about the forces acting on the rock.
The obvious one is the gravitational force on the
rock, pulling it down. But if that were the only
force, then the rock would be accelerating to the
center of the earth. The rock is stationary, so
there is also a force pushing up on the rock. If
your huge rock is sitting on the ground, then the
ground is pushing up on the rock just as hard as
gravity is pulling it down. If you stick some
sort of device under the rock, then that device
will be exerting just as much force upwards on the
rock as the rock exerts downwards on the device,
so there can't really be any net gain there. Plus
you would have to lift up the rock to put the
device underneath it, so you would actually have a
net loss of energy. In general you won't be
able to get energy out of the forces acting on a
stationary object for this very reason. To get
energy from a force, the force has to be doing
some work ("work" in the technical sense of
force*distance, measured in Joules...and note that
3.6 million Joules = 1 kilowatt-hour, which is the
unit we use to measure electricity). A good
example is moving water (which is moving because
of gravity) turning a turbine in a hydroelectric
dam. Without the turbine, you can't get
electricity out of the water being held behind a
dam, because the dam is pushing back on the water
just as hard as the water is being pulled against
the dam. Put the turbine in, and the forces no
longer balance, so the gravitational force can do
some work by turning the turbine, which generates
electricity. You mentioned potential and kinetic
energy, which is at the crux of this - you can
have a huge amount of potential energy, but you
can't use any of it unless you turn it into
kinetic energy. A stationary rock is all
potential energy and no kinetic energy, so it's
not doing any work.So you can get some energy out
of your huge rock, but you would have to roll it
up a hill and find a way to capture the work that
gravity does as it rolls down the hill. Of course
it will still take more energy to roll the rock up
the hill than you can get on the way down.
Getting energy from gravity only really works in
the hydroelectric example because the sun does the
'rolling up the hill' step - it heats the ocean
and gets the water to evaporate into the
atmosphere, where it can rain down upstream of the
dam. Cheers, | | Answer 2:
If one were to put some sort of mechanism
underneath a big rock that converted the pressure
of the rock against the earth into
electricity,then how is that not some sort of
perpetual energy source? The gravitational
potential energy is not changing if the rock is
not moving; yet the pressure it exerts must be a
kind of energy that can be theoretically
converted into electricity, no?NO!! The rock is
not moving, so there is no change in its potential
energy, hence no kinetic energy that can be
harnessed and used for electricity! Pressure is
NOT the same thing as energy! The pressure of the
rock is equal to its weight divided by the contact
area of the bottom surface of the rock and the
earth. BUT - this is BALANCED by the upward
pressure of the earth on the rock. The rock is in
equilibrium - the weight of the rock is really the
gravitational pull of the earth on the
rock,measured FROM THE CENTER OF THE EARTH. This
pulls the rock DOWN towards the center of the
earth. The gravitational pull of the earth on the
rock(and the rock on the earth!) causes the rock
to push on the surface of the earth. The surface
of the earth pushes back on the rock! This is
described by NEWTON'S THIRD LAW: action and
reaction. The push of the rock on the surface of
the earth is balanced by the push of the surface
of the earth on the rock. PRESSURE IS NOT THE SAME
THING AS ENERGY. The gravitational energy
does not "wear out" in this situation... so isn't
that a perpetual energy source? I'm just not
sure how to answer his question. He and I both
think we understand the basic concepts of
gravitational potential energy and kinetic
energy. These are actually very tricky
concepts. Both gravitational potential energy and
kinetic energy are always measured WITH RESPECT TO
a certain reference frame. For example: you think
you are at rest now, and have zero kinetic energy;
this is true from the perspective of the room in
which you are sitting and looking at your
computer. But, from the point of view of an
observer outside the earth, you are moving with
the velocity of the rotation of the surface of the
earth plus the velocity of the earth around the
sun plus the velocity of the sun around the
galaxy! Gravitational potential energy is
always measured WITH RESPECT TO A CERTAIN DISTANCE
from the center of the body that you are
investigating,such as the Sun, earth, or another
planet, etc. The surface of the earth is where we
take the gravitational potential energy of falling
bodies to be ZERO in our everyday
lives. When you do work to raise an object
above the ground, you increase its gravitational
potential energy relative to the earth, and when
you let it go, the gravitational potential energy
is converted into kinetic energy.Some of this
energy goes into heating the contact surface
between the object and the air, due to friction as
it falls, and some fraction goes into heating the
contact surface between the rock and the ground
when it hits the ground, due to friction at the
contact surface. Some small amount goes into the
sound that is produced when it hits the ground
also. When the object comes to rest on the earth,
that's IT. Finished. No more kinetic energy when
the rock is resting on the earth, and no more
gravitational potential energy until some force
comes along and lifts it up again. Think
about it: if there were energy generated just by
rocks sitting on the earth, we would not be here,
because the earth would have melted long
ago! A word of caution: ANYTIME you think
you have invented a perpetual motion machine, you
are thinking of something incorrectly. For a
great source of information, please read this
awesome little book:FEAR OF PHYSICS by Lawrence
Krauss. It explains lots of the semisconceptions
and is like a bible for science teachers. You can
order it on line or get it from Borders, Barnes &
Noble, etc. | | Answer 3:
Great question. The answer is that force alone
is not enough to generate power. That force must
move through some distance. You can push on a
rock from below or above until your legs give out,
but if it doesn't *move*, you have technically
done zero work (transfer of energy). Energy is
measured as force times distance moved. So you
are actually correct in recognizing that
gravitational potential energy is not being
changed. In a way, the "perpetual energy source"
is actually just "perpetual energy storage." The
rock has a certain amount of gravitational
potential energy (the Earth is tugging at it), so
if you had a deep hole under the rock, the weight
(force) of the rock could be converted into useful
energy. Otherwise it's just being stored as long
as it sits motionless. | | Answer 4:
The precise point is that gravitational energy
is potential energy unless it makes something
move, and then the energy is converted to kinetic
energy, no work can be done. So a big rock at the
top of a hill has no kinetic energy. Its only when
it rolls down that work is done, and this can be
converted to useful energy. When the rock reaches
the bottom of the hill, it can't role any more,
and to make it do useful work, it has to be rolled
uphill again. So its not perpetual. This is
the principle of a water wheel, and its not
perpetual. | | Answer 5:
Energy can only be harvested if a change in
energy states is occurring. You cannot harvest
energy from a static system, even if the forces in
that static system are extremely powerful. So
simply having a huge rock sitting on a pressure
plate would not generate any energy. You would
only get energy by changing the system, e.g.
pushing the rock off of a cliff and having it land
on your pressure plate (and it would only give you
energy when the rock hits, not
afterwards). This principle, incidentally,
is known as the Second Law of Thermodynamics: to
be able to do work, you have to do an equal or
greater amount of work elsewhere. Click Here to return to the search form.
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