School Science Lessons
Energy, kinetic energy and potential energy
2009-10-11
Please send comments to: J.Elfick@uq.edu.au
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Table of contents
9.0.0 Energy
9.0.1 Renewable energy
9.1.0 Kinetic motion
9.2.0 Conservation of energy
9.3.0 Kinetic energy and potential energy
9.1.0 Kinetic motion
3.55
Brownian movement
3.55.1
Diffusion of heavier than air gas, carbon dioxide
3.55.2
Diffusion of ammonia and hydrogen chloride gases
3.55.3
Diffusion of liquids
3.56
Particles of matter and dilution
3.57
Size of a molecule
3.58
Clay soil suspension
9.1.1 Rattle
tin of stones
9.1.2 Heat lump of wax containing lead shot
9.1.3 Aluminium powder twinkles
9.1.7 Molecular dimensions, size of a
molecule
9.2.0 Conservation of
energy
9.2.1 Children's swing
9.2.1.1 Rebounding ball
9.2.2 Drop a golf ball inside a car tyre
9.2.3 Roll-back jar, come back can, boomerang
tin
9.2.4 Rotating washer
9.2.5 Hammer lead and iron, transform kinetic
energy to internal heat energy
9.2.6 Transform electromagnetic energy to kinetic
energy
9.2.7 Hot wire current meter
9.2.8 Tansmission of compressive energy, motion of
first coin and
last coin, motion of dominoes
9.2.9 Wave propagates energy
9.2.10 Solar water heater
9.2.11 Toy spring jumper
9.2.12 Nose basher
9.2.13 Weight of a pendulum, break a pendulum
wire, stopped pendulum
9.2.14 Loop the loop, energy well track, ball
in curved tracks, triple track energy conservation
9.2.15 Bow and arrow ballistic pendulum
9.2.16 Vertical ballistic pendulum
9.2.17 Big yo-yo
9.2.18 Height of a ball, high bounce paradox
9.2.19 Prony brake
9.3.0 Kinetic energy
and potential energy
4.199
Water wheels
5.8
Water wheel (Primary)
5.9 Steam wheel (Primary)
7.109 Gravitational potential energy
9.0.1 Renewable energy
The sources of renewable energy include:
Hydroelectric energy
Falling water is used to drive turbines to generate electricity.
Solar energy
Solar energy converts energy from sunlight to electricity, an average
of 1366 watts per square metre per hour.
Biomass energy
Landfill gas, mainly methane gas, CH4, produced by
decomposing organic matter, is captured and burned to produce
electricity. This method also prevents methane, and other landfill
gases, from becoming a potential greenhouse gas in the atmosphere.
Bagasse gas
Waste plant materials, the residual fibrous waste from raw cane sugar
processing can be burned to generate electricity.
Wind energy
Wind drives turbines to generate electricity.
9.1.0 Kinetic motion
Kinetic theory of matter,
energy of particles Potential energy, PE or EP, is energy
deriving
from position. So a stretched spring has elastic potential energy, PE =
kx2 / 2, an object raised to a height above the Earth's
surface
has gravitational potential energy, PE = mgh. Other sorts of potential
energy include electrical, nuclear and chemical potential energy.
moving objects possess kinetic energy K. E = Mv2 / 2. Energy
can
be converted from one form to another, but the total quantity stays the
same.
9.1.1 Rattle tin of stones
To imitate the heat movement of gas particles and know the energy of
it, put some small stones in a tin with a lid. Replace the lid and
shake
the tin. You can feel and hear the stones rattling inside the tin. The
stones are knocking against the walls of the tin. If you shake much
harder,
the stones can knock the lid off the tin and burst out. The movement of
gas particles in a closed container is similar to the movement of the
stones.
If you heat the gas particles they move faster and can burst the closed
container. Heating a liquid or a gas in a closed container is very
dangerous.
9.1.2 Heat lump of wax containing lead shot
To imitate differences of movements of solid, liquid and gas particles,
push very small lead shot into wax or petroleum jelly. The lead shot is
like the particles of a solid that cannot move about. Put the mixture
into
a container and melt the wax at the bottom of the container. Heat the
container.
The wax melts and the lead shot can move around each other limited. The
lead shot is like the particles of a liquid. If you burn away the wax
and
shake the container that lead shot can move in straight lines at
random.
The lead shot is now like the particles of a gas.
9.1.3 Aluminium powder twinkles
To observe the relation between the twinkle of aluminium powder and
its size, add aluminium powder to a beaker of tap water with a few
drops
of detergent. Stir the mixture. Make the room dark and shine a strong
light
through the liquid. Observe that the smallest suspended particles
twinkle
like stars but the larger particles do not twinkle. The reason is that
the water molecules hit the smallest aluminium particles and turn them
over so that they reflect flashes of light and cause the twinkling.
Water
molecules cannot turn over the larger particles so they do not twinkle.
9.1.7 Molecular dimensions, size of a molecule
Use oil molecules because oil has a density less than water. The
oil will float on the surface and not dissolve in the water. If the
water
has a large enough surface area, you assume that thin oil will spread
out
in a layer one molecule thick called a monomolecular layer and not form
little "hills" of molecules. If you know the volume of oil and the
surface
area that it forms, you can calculate the thickness of a monomolecular
layer by dividing the volume by the area. Use a water container > 30
cm2
so as not to restrict the oil film. Sprinkle the surface of the water
with
a very fine light powder such as talc powder. When the oil is put on
the
water, it will push the powder away and the area covered by the oil
will
be seen clearly. To find the volume of oil, pour thin oil into a
burette.
Use a thin petroleum distillate. Find the volume of fifty drops by
running
oil from the burette drop by drop and counting the drops. Allow one
more
drop to fall on a piece of plastic. Touch the oil drop with the point
of
a glass rod and then touch the prepared water surface. The oil spreads
out. Make an approximate measurement of the area over which it spreads.
Estimate what fraction of oil was removed by the glass point by using
the
glass point to remove successive fractions from the drop until it has
been
used up. Calculate the volume of oil put on the water and estimate made
of the thickness of the oil layer, about 10-6 mm, This is
an
approximate dimension of a single molecule of the oil.
2.56 Particulate matter and dilution
Put one crystal of potassium permanganate in a test-tube. Add 1 mL
water. Dissolve the crystal completely by shaking vigorously, keeping
your
thumb over the end of the test-tube. Then add water to a total volume
of
10 mL. This is a "10 times dilution". Pour this 10 mL of purple
solution
into a 100 mL beaker and then fill the beaker with water. This is now
"100
times" dilution. Fill the 10 mL test-tube with this solution and throw
the rest away. Dilute this again in the beaker to 100 mL. It is now
a"1,
000 times" dilution. Note how often the solution can be diluted by a
factor
of 10 before the colour is so pale that it is only just visible. The
final
dilution factor shows that if matter is particulate, the size of the
particles
must be small.
2.58 Clay soil suspension
Shake a little clay soil with water in a test-tube. Leave this to
settle.
Note the humus layer at the tiny particles of rock and mineral at the
bottom.
Filter the liquid. Students will observe that the filtrate is still
cloudy,
this is because the clay particles have passed through the filter
paper.
Do students understand why the suspension particles do not settle, even
after a few days? The size of colloidal particles is roughly between 1
mu and 100 mu (1 mu = 1 millimicron, 10-6 mm). Divide the
filtrate
into parts in test-tubes. Keep one as a control. To the other add a few
drops of barium chloride solution, or some aluminium salt solution.
Note
what happens in half an hour and in one hour. The same effect occurs
when
a clay suspension in a river meets the salts contained in sea water. In
many hot countries salt is crystallized from pans built on the clay
beds
near the mouths of rivers.
9.2.0 Conservation of energy
Energy conversion, convert potential energy to kinetic energy,
potential
energy and gravity, transfer energy, conservation of mechanical
energy
in a closed system, problems involving the conversion of mechanical
energy
GPE <--> KE, EPE <--> KE, gravitational potential energy in
its general,
non-uniform form, GPE = mgh, GPE = (- G m1 m2 /
d)
and
its application to escape velocity
9.2.1 Children's swing
1. Ride on a child's swing. Note the original height of the swing
above the ground. Let yourself swing to the other side. The height
reached
on the other side is almost the original height.
2. Swing a pendulum. Note the original height of the bob. Let the
bob make a full swing. The height it reaches is almost the original
height.
3. To study the transfer and conservation of mechanical energy,
observe
a child on a swing. The heights raised at the two sides are always the
same. It shows that the potential energies of the swing at the two
peaks
are equal. If you sit on the swing, you may experience the short rest
feeling
while reaching the peak then the velocity will become faster and
faster.
Nip a corner of a handkerchief then observe the angle of the waving
when
the handkerchief falls from the top point to the bottom point. It may
show
the velocity reaches the maximum. At the top point the swing and person
only possess potential energy but no kinetic energy, at the bottom
point
their kinetic energy reach the maximum but the potential energy becomes
the minimum. When the swing reaches the other peak, the kinetic energy
completely changes into the potential energy again. Then at the
transfer
between potential energy and kinetic energy, is energy lost?
9.2.1.1 Rebounding ball
To observe the transfer and loss of mechanical energy, hold a ball
with a strong elasticity, for example, a ping-pong ball, and record its
height. Naturally loosen your hand and let the ball falls freely from
rest.
Observe the heights the ball rebounds several times after the ball
falls
on the floor and find the relationship among the heights. Repeat a few
times to see whether the rebounding height is on earth more than the
original
some time or not. Redo the experiment on a sandlot instead of the
cement
floor. Observe the change in shape of the sand as well as the
rebounding
heights. Compare the phenomena and conclusions on the cement floor and
the sandlot. Let students complete the experiment independently then
think
and discuss following questions: at the process from the ball falling
originally
to rebounding firstly reaching the peak, how does the mechanical energy
change? Why must the rebounding height be equal to or less than the
original?
At the experiment on the sandlot, how does the energy change? Is the
energy
in conservation yet?
9.2.2 Drop a golf ball inside a car tyre
See diagram 9.2.2: Ball inside car tyre
1. Hold the ball inside the tyre and note the original height above
the ground. Let the ball go. It runs down inside the tyre and up the
other
side. The height it reaches in the other side is almost the original
height
but never more. Repeat the experiment using different original heights.
2. Let an outer tyre stand upright on the ground and fix it well.
Hold a golf ball with your hand above the tyre and loosen your hand at
a certain height and let the ball roll in the groove inside tyre. The
ball
rolls from the original height to the bottom of the tyre then rolls
upwards
reaching the original height but not more than the original height
absolutely.
Repeat the experiment loosening the ball at different heights. The
small
ball will keep its energy changeless at the whole process of moving if
neglect the energy loss due to friction and other reasons. When the
small
rolls down from the top point to the bottom of the tyre, its
gravitational
potential energy changes into the kinetic energy, when it rolls up from
the bottom point to the top, its kinetic energy changes into the
gravitational
potential energy again so it comes back the original height.
9.2.3 Roll-back jar, come back can, elastic
potential
energy and kinetic energy
See diagram 9.2.3: Roll-back jar
1. Use a 10 cm plastic jam jar with screw-on plastic lid. Drill two
small holes, each 2 cm from the centre, along the diameter of the
bottom
of the jar. The distance between the two holes is 4 cm. Drill the same
two holes in the cap of the jar. Push an elastic band through each of
the
two holes in the bottom of the jar. Tie the two rubber bands together
outside
the bottom of the jar. Pull the ends of the two elastic bands into the
jar to cross over then push the two ends through the two holes in the
cap.
Attach a 50 g weight to one end of a thin wire. Tie the other end of
the
wire to the rubber bands together where they cross over. Pull on the
rubber
bands that passed through the cap and tie them so that the weight does
not touch the sides of the jar when the jar is horizontal on its side.
Hold the jar horizontally and turn it over many times so that the thin
wire becomes shorter and shorter. When you hold the jar
horizontally
and turn it you store potential energy as the thin wire became shorter
and the weight became higher. Also, the elastic potential energy is
stored
in the elastic bands when they are twisted. So the rotating kinetic
energy
of the jar changes into gravitational potential energy and elastic
potential
energy. Put the jar on a flat surface. Push the jar ahead and it rolls
back. Put the jar on a slight slope. The jar rolls up the slope.
2. Cut two slits, 1 cm X 0.5 cm, in the middle of the bottom and
the middle of the lid of a round biscuit tin. Cut a strip of bicycle
inner
tube rubber length 1 cm longer than the depth of the tin and 1 cm wide.
Pass the strip of rubber through the slits and fasten each end outside
the biscuit tin with pins through the ends. Attach a heavy machinery
nut
from the middle of the rubber strip with a wire paper clip. Roll the
tin
several rotations forward, then let it go and it will roll back. When
you
roll the biscuit tin forward the heavy nut remains hanging down due to
the force of gravity so the elastic becomes twisted tighter with each
rotation.
The biscuit tin rolls back to release the force of tension accumulated
in the rubber strip.
9.2.4 Rotating washer
See diagram 9.2.4: Rotating washer
1. Use a dowel (round stick) 1 m long and a rubber or plastic washers
2.5 cm diameter. The inner diameter of the washer is just larger than
the
diameter of the round stick. Hold the dowel vertically and attach the
bottom
end to a table. Hold the washer just above the top of the dowel. Let
the
washer fall down the length of the dowel. Estimate how
long
it takes to fall.
2. Hold the washer just above the top of the dowel. Use your
thumb
and first finger to make the washer spin then fall down the length of
the
dowel. Note that the rate of fall slows and the speed of rotation
increases.
The spinning washer at the top of the dowel has rotational kinetic
energy
and gravitational potential energy due to its height. As the spinning
washer
falls some of the gravitational potential energy is converted to
rotational
potential energy so it spins faster. However some of its gravitational
energy is lost to friction with the dowel, so it falls more slowly.
9.2.5 Hammer lead and iron, transform kinetic
energy
to internal heat energy
See diagram 9.2.5: Hammer lead
1. Use a small piece of lead sheet wrapped around one end of a piece
of thin iron wire. Hold the other end of the wire. Hit the lead several
times. You can feel the temperature rise.
2. Use a thin sheet iron, with thickness not more than 0. 3 mm.
Cut
a 3 cm width strip off the sheet iron. Wrap the strip around an end of
a stick. Make sure the length of the sheet iron, i.e. the length of the
strip should be enough to wrap up the stick more than one circle. Hold
the other end of the stick with your hand and place the end of the
stick
with the sheet iron on a wasted block with a slightly smooth surface or
an old wooden stool. Touch the sheet iron with your other hand to
experience
its temperature and remember the feeling. Quickly beat the sheet iron
with
a mallet until the sheet iron is hot. Take your hand off the sheet iron
as soon as your finger feels hot. The thinner the sheet iron is and
more
quickly beat the sheet iron, more obviously the phenomenon the
temperature
of the sheet iron rises is. If beat slowly or use some metallic stand
instead
of the block, the temperature of the sheet iron will not increase so
quickly.
9.2.6 Transform electromagnetic energy to
kinetic
energy
See diagram 9.2.6.1 | See
diagram 9.2.6.2 | See diagram 9.2.6.3 | See diagram 9.2.6.4 | See
diagram 9.2.6.5
9.2.6.1 To observe the transformation of electromagnetic energy to
kinetic
energy, place a compass in the tray of a match box. Wind 10 turns of
copper
wire around the tray so that the wire just covers the compass. Leave
two
ends of the wire. Rotate the match box so that the compass needle is
parallel
to the wire. Connect one end of the wire to one terminal of a 1.5 V dry
cell or low voltage d.c. power supply. Briefly touch the other
end to the
other terminal of the dry cell or power supply. Touch the other
terminal
again after a few seconds. Note how the compass needle behaves at the
moment
of touching. The compass needle deflects to align itself with the
magnetic
field produced by the current in the coil.
9.2.6.2 Place a strong horseshoe
magnet on its side. Suspend stiff
copper
wire between the two poles of the magnet like a trapeze. Connect one of
the flexible copper wires to a dry cell or d.c. power supply then
touch
the
other copper wire to the cell. The copper wire trapeze will swing away
from or towards the magnet, depending on the connection. The motion is
due the interaction between the magnetic field and the electric current
in the trapeze.
9.2.6.3 Construct a wooden frame
as shown in diagram then mount two
copper
rails 75 mm apart across the centre of the frame. Cut a piece of copper
wire 100 mm long to lie across the conducting rails. Mount a horseshoe
magnet between the conducting rails so that the rails are a height
midway
between the poles of the magnet. Connect the conducting rails to a
d.c.
power
supply. Energize the circuit and observe what happens to the copper
wire
conductor that lies across the conducting rails. It will roll along the
conducting rails, the direction depending on the electrical
connections.
9.2.6.4 Use a cardboard paper
tube that allows a bar magnet to be
inserted
and removed easily, e.g. centre of a toilet roll. Wind wire around the
tube many times to form a coil. Leave about 50 cm at each end of the
coil.
Connect the coil to a galvanometer or a compass coil as above. Insert a
bar magnet quickly into the coil and observe movement of the needle of
the compass. Remove the bar magnet from inside the coil and observe the
needle again. Rotate the compass to ensure the wire is parallel to the
needle pointed to the N-S pole before experiment. If you use a
galvanometer,
put it far from the coil to avoid magnetic induction. In each case the
needle of the compass or the needle of the galvanometer will deflect
due
to a current being produced by moving the bar magnet in and out of the
coil. The deflection of the galvanometer needle is a measurement of the
current. The deflection of the compass needle is simply the needle
aligning
itself with the magnetic field produced by the current in the coil
around
the compass.
9.2.6.5 Wind insulated wire
around an iron core. Connect the coil to a
galvanometer. Move a bar magnet back and forth above the coil and
observe
movement of the needle of the galvanometer. Reverse the magnetic poles
and repeat the experiment. Observe the movement of the needle again.
Remove
the iron core, repeat the steps above and observe what happens.
9.2.7 Hot wire current meter
See diagram 9.2.7: Current meter
The electric current to be measured passes through a platinum alloy
hot wire, AC. The current heats the wire so it expands and loosens an
attached
phosphor bronze wire, BD, that is insulated from heat. One end of a
silk
strip is attached to the phosphor bronze wire. The silk thread winds
around
a pulley, E, attached to a pointer then the other end is attached to a
spring metal strip that keeps the silk thread tight. When the silk
strip
becomes loose the spring metal strip moves out to the left, tightens
the
silk strip that then turns the pulley so the pointer turns to the
right.
Electrical energy transforms into heat energy into the kinetic energy
of
the pointer and potential energy of the spring metal strip.
9.2.8 Tansmission of compressive energy, motion
of first coin and
last coin, motion of dominoes
See diagram 9.2.8:
Coin motion, domino motion
Longitudinal waves produce compress and stretch in the medium. With
the propagation of the form of movement, the energy of the wave
propagates.
The form of movement is the same to the velocity of energy of
propagation
under the condition of no chromatic dispersion. It can reach thousands
of metres in a second, far surpassing the value of general moving body.
1. Arrange several same coins in a line on the table. You can fix them
with adhesive tape. Place one coins in front of the line and place
another
coin at the end of the line. The last coin touches the one in front of
it but is not connected. Shoot the first coin quickly to make it strike
the second. Then observe the movement of all the coins. When the first
coin hits one end of the line of coins the last coin moves back very
rapidly.
The energy produced by the first coin transmits rapidly along the line
of coins.
2. Use a set of dominoes, or some similar small squares of wood, e.g.
mah-jong pieces, on their edges in a long row. Place them face to face.
The distance between two dominoes should be shorter than height of
them.
Push the first one A rapidly. Observe the movement of all the dominoes.
As shock dominoes A, it is propagated a small pulse of energy to cause
it topples. It knocks against the following domino which knocks the
third
and so on until finally the end domino falls. It can be seen if you
observe
that although every domino falls just at its original place and the
distance
of its motion is very small, the propagation of this pules energy is so
quickly that B has begun to fall down before A falls down completely.
During
propagation of compressive energy, the behaviour of solid particles is
like that of the dominoes. Solids consist of atoms, ions and molecules
arranged in a row closely together. When one end of a solid obtains the
compressive
energy due to impact, the particles there produce
compressive
deformation and the compressive energy is transformed to
neighbour
particles, and so on. The process of above happens among particles
in
turn that reaches the other end in a short time and from the particles
here propagates the compressive energy to the outside, finally cause
the
last coin in experiment A shoots forward. In the process above although
every particle's motion is very weak, they are much like that connected
with small springs going on forward with energy in a form of waves. It
has been shown from the dominoes experiment above and analysis about
the
motion of particles inside the solid that the speed of propagation
surpasses
far from that of each object when they are connected. Sometimes you can
see the similar phenomenon to the dominoes in daily life.
3. If you have
visited
a train dispatch yard, you can notice the situation of marshalling. As
one carriage is connected with the whole train, it collides the last
carriage
of the train. With a series of reactions that every carriage moves
slightly
in turn, such energy in a form of shock waves propagates throughout the
train rapidly that makes you feel as though the whole train begins to
move
almost instantaneously.
4. When traffic jam happens in a highway the cars
run in a row. At this time if the last car cannot stop in time to
collide
the back of the car in front of it, the shock wave energy may be
propagated
forward rapidly that lead to a series of accidents. It is too late to
brake
the car for all car drivers.
9.2.9 Wave propagates energy
See diagram 9.2.9: Waves
Waves propagate not only the vibration state of the source but also
the energy of it. Prepare a water vessel, pour water into it and put a
cork by the vessel. Hold a long, narrow wooden rod and make it move up
and down in another end of the vessel. Observe the motion of water wave
and notice the motion of cork. Increase or decrease the motion and
observe
what happens about water wave and cork. Increase or decrease the
frequency
of the motion and observe the situation again. The vibration of a
wooden
rod caused by hand makes it become a vibration source. The state of its
motion and energy propagate out by means of water. Thus forms the water
waves. So you can see the wave crest and trough in water. The energy
carried
by water wave is propagated to the cork causing it vibrate up and down.
The cork is up as crest comes, down when a trough comes. The energy of
rod vibration propagates to the cork through the medium role of water
waves.
So the wave propagates not only the state of a vibration source but
also
the energy of it. Increasing the extent of a shake by hand is
increasing
the vibration energy of source and water wave increases with it. All
this
shows that the more the energy the source has, the more energy it
propagates
and vice versa. If you increase the frequency of a shake by hand, the
wave
shape varies with it and the distance between the wave crest or that of
crest and trough decreases. The vibration frequency of the cork
increases
too. Waves are the propagators of energy that carried the energy
produced
by source to all places it arrives.
9.2.10 Solar water heater
After Davis, Peter
and
Fries, Peter Australian Science Teachers Journal 33 (4)
You do not need a pump to circulate the water to the plastic bottle
storage tank. Water in the blackened collector tube absorbs the sun's
energy
and gets hotter. This hot water is less dense than the rest of the
water
so it rises out of the collector into the storage tank. The cold water
at the bottom of the bottle then flows into the bottom of the collector
and the cycle begins again. This process is called thermo-syphoning.
You
need water based black plastic paint, -10oC to 110oC
thermometer, adhesive tape, roof and gutter type silicon sealer or
"Blue
Tack", plastic bottle with lid for the water storage tank, dry cleaning
wrap or "Glad Wrap" plastic film, plastic funnel, roll of aluminium
foil,
tie wire. Paint inside the collector black and paint the hose. Attach
clear
plastic wrap, clear acrylic or glass. Use the blue tack or silicon
sealer
to attach the collector to the plastic bottle (tank). Place the plastic
bottle above the collector.
To test the solar heater:
1. Put
cold
water in your solar water heater, e.g. 4 litres.
2. Record the
temperature
of the cold water.
3. Put your solar water heater in the sun or use a
strong lamp.
4. Record water temperatures every 5 minutes for 1 hour.
5. Calculate the amount of heat energy gained by the water in your
heater
in 1 hour.
Heat (Joule) = m x c x DT, where m = mass of water = (volume
in cm3 for water), c = (specific heat, 4.2 Joule / g for
water),
DT = temperature increase, (final temperature - initial temperature).
How
could you make improvements to increase the efficiency of your solar
heater?
Calculate the efficiency of the solar collector: % Efficiency = (Energy
input / Energy output) X (100 / 1). Energy input from the sun falling
on
1 m2 = 800 x number of seconds collector exposed to sun, J
per
m2. Energy input after 1 hour in the sun = (800 x 60 x 60 J
per
m2) = (2, 880, 000 J per m2) = (288 MJ per m2).
Adjust this figure for the surface area of your collector.
9.2.11 Toy spring jumper
Compress a spring under a toy held down be a suction cup
9.2.12 Nose basher
Hold a bowling ball suspended from the ceiling against your nose and
let it swing.
9.2.13 Weight of a pendulum,
break
a pendulum wire, stopped pendulum
Suspend a pendulum from a double beam balance with a small block placed
under the opposite pan to keep the system level then swing the pendulum
so it just lifts a weight off the stopped pan. Suspend a heavy
bob
on a weak wire, as the ball descends in its swing the wire breaks. A
pendulum
is started at the height of a reference line and returns to that height
even when a stop is inserted stopped pendulum
9.2.14 Loop the loop, energy well
track, ball in curved tracks, triple track energy conservation
A ball rolls down an incline and then around a vertical circle. Vary
the initial height of the ball. A water stream loop the loop
shows
the effect of centripetal forces much more dramatically then when a
ball
is used water. The reverse loop-the-loop is placed on a cart hooked to
a falling mass that produces an acceleration just large enough to make
the ball go around backwards into the cup. A ball can escape the energy
well when released from a point above the peak of the opposite
side.
Balls are rolled down a series of curved tracks of the same height but
different radii. Balls released from three tracks with identical
initial
angles rise to the same height independent of the angle of the second
side.
9.2.15 Bow and arrow ballistic
pendulum
The relation between bending of the bow and the velocity of the arrow
was found to be linear. Coffee can target for a bow and arrow ballistic
9.2.16 Vertical ballistic
pendulum
A ball is dropped into a box of sand suspended from a spring and the
extension of the spring is measured.
9.2.17 Big yo-yo
A large yo-yo is hung from bifilar threads wrapped around a small
axle. The string unwinds on the way down and rewinds on the way up. Low
cost yo-yo made with cardboard sides and paper towel centres.
9.2.18 Height of a ball, high
bounce paradox
A device to project a ball upward at different known velocities to
show dependence of kinetic energy on the square of velocity height of a
ball. A steel ball is launched upward by a stopped spring which the
initial
velocity is calculated. Flip a half handball inside out and drop on the
floor and it bounces back higher than the height from which it was
dropped.
Mechanical power
9.2.19 Prony brake
Each end of the belt for a Prony brake is attached to a spring
scale.
Measuring your horsepower by Prony brake Measuring delivered
horsepower
by turning a pulley under a stationary belt attached to spring scales
at
each end. Rotate a shaft against a constant frictional resistive force
Energy, energy and momentum, laws of
conservation
of energy and momentum, kinetic, elastic, potential and gravitational
potential
energy, colliding dynamics carts, gliders on air tracks, pucks on air
tables,
rolling ball down incline, dropping a mass attached to a spring