PAPER
iopscience.org/ped
Phys. Educ. 54 (2019) 015025 (15pp)
Teaching physics by magic
Franco Bagnoli1,3 , Alessio Guarino2 and Giovanna Pacini1
1
Department of Physics and Astronomy and CSDC, University of Florence via G. Sansone
1, 50019 Sesto Fiorentino, Italy
2
Laboratoire Icare, Université de la Réunion, St Denis de la Réunion, Réunion, France
3
INFN, Sez. Firenze, Italy
E-mail:
[email protected]
Abstract
In this paper we describe the results of some experiments about using
surprising physics demonstrations, presented as magical phenomena followed
by scientific explanations, for introducing physics topics in several teaching
contexts. All the demonstrations have been designed to be implemented with
easy to get and cheap materials, so that students can reproduce them at home.
This approach has been exploited in Italian high schools, Italian elderly
people education and French primary schools, with good results.
this approach is quite different from that of analyzing standard ‘magics tricks’ from the point of
view of physics [6].
In the last years, we have developed a set
of simple demonstrations that can be repeated
at home using cheap equipments and scrap materials. We have tested this approach in several contexts, in schools of various levels and universities,
in dissemination events, in courses for elderly
people and in public exhibitions. We found promising results for what concerns the participation,
the engagement of attendees and learning results.
In this paper we present some of our demonstrations, that have been tested in a cycle of
lessons for high school students in all Tuscany,
in lessons for elderly people (University of Free
Age, Municipality of Florence) and in a class for
teacher preparation in Reunion, and the results of
these pedagogical and didactic experiences.
1. Introduction
Physics is a difficult subject! This is the most
common statement by students and lay people
about this topic. Indeed, it is true! The main problem with physics is that it does not rely on what
should be learnt, but in what has to be forgotten
or contextualized.
Our body, and therefore our brain, has been
selected to successfully deal with everyday experiences, and to comply with them we are born
with a hard-wired general knowledge of ‘real-life
physics’, which is essentially Aristotelian [1] or
possibly medioeval [2]. This innate knowledge is
also shared with other animals [3]. Unfortunately,
a deeper inspection reveals that the world follows other rules, and therefore the main goal
of a teacher is that of inducing pupils to switch
(depending on the context) to a different reasoning path with respect to the innate one.
One technique that can be used for this goal
is that of ‘surprising’ the audience [4] by means
of nearly-magic experiences, followed by a discussion, with an analysis of the physics principles
involved and the illustration of possible extensions, fields of application, etc [5]. With respect
to standard ‘science fair’ experiments, we mainly
focus on the magic in everyday life. Notice that
1361-6552/19/015025+15$33.00
2. Demonstrations
We perform a variable number of demonstrations,
but with a common set of ten experiments (table 1).
Let us review them, including some description
of the narrative context used and references to
the discussion of the physical content of the demonstration. Clearly, the demonstrations and the
1
© 2018 IOP Publishing Ltd
F Bagnoli et al
Table 1. The 10 most common demonstrations.
Title
Physical principles
Sinking the Titanic
Diver in a bottle
Water in the net
Balancing broom
Bouncing balls
Drinking bird
Archimedes’ principle
Archimedes’ principle, pressure, Boyle’s law, Stevino’s law
Air pressure, surface tension
Torsion, center of mass, friction
Potential energy, kinetic energy, elastic collision, reference system
Second law of thermodynamics (Kelvin statement), evaporation, relative
humidity, condensation, pressure, heat, center of mass, thermal machine, entropy
Tea leaves/winding rivers Centrifugal force, fluid balance, connecting pipes, transverse flow
Obedient balloon
Bernoulli’s law, equilibrium pressure, pressure of a fluid in motion, venturi effect
Roberto Carlos
Bernoulli’s law, magnus effect, viscous drag, reference system
Vortex cannon/smoke
Bernoulli’s law
rings
narrative parts evolved over time, and we are here
presenting the latest version. We tried to stimulate
comments and discussions, pointing to the unexpected connections among apparently very different disciplines. The common ‘catchphrase’ (that
attendees are asked to shout together) after each
demonstration is ‘why?’.
and simulate the Titanic with a glass (preferably
with a thick bottom). Mark the water (sea) level
and ask the public to predict the fate of that level
after the sinking of the ship. Will it raise? Will it
remain the same? Will it lower?
Typically, a large majority of attendees in the
public vote for the first option, and remains quite
surprised seeing that the ‘sea level’ in effect lowers when the ship sinks (figure 1).
We can profit from this opportunity by having the public recite Archimedes’ principle, for
which a body immersed in a fluid receives a thrust
equal to the weight of the displaced fluid. Since
vessels are made of a material heavier than water,
they must displace more water than the volume of
the material they are made with, once sunk they
only displace the latter volume. Therefore, a big
sinking ship makes a ‘hole’ in the ocean, and the
surrounding water rushes in to fill it, dragging the
unfortunate shipwrecked.
Many other narrations about Archimedes’
law are possible. For instance, when Leonardo
da Vinci arrived in Milan in 1482, the city was
crossed by various waterways. Some of these,
such as the Martesana, passed over other rivers,
such as the Molgora and the Lambro. Ludovico
il Moro, the client, was worried that a ship
passing over this bridge-canal, by adding its
weight would exceed the load-bearing capacity
of the bridge. Leonardo clearly explains what
happens
2.1. Sinking the Titanic
We start this demonstration with a projection of
some scenes about the sinking of the Titanic [7].
In the movie [8] Jack and Rose are clinging to the
stern railing, and shortly before the sinking Jack
says:
Take a deep breath and hold it right before
we go into the water. The ship will suck us
down. Kick for the surface and keep kicking. Do not let go of my hand. We’re gonna
make it, Rose. Trust me [9].
Is it true that there is a suction effect accompanying sinking ships? And if so, why?
One of the theories that can be found on the
Internet about this suction effect is that it is due to
the air contained in the ship, that, while escaping,
‘lightens’ the water, which is thus unable to sustain lifeboats and shipwrecked people. This myth
was also the subject of an investigation by the
MythBusters, [10, 11] Adam Savage and Jamie
Hyneman, who have not found any evidence of
the effect, but using a ship which was too small
for the purpose.
Indeed, the suction effect does exist it is
documented by many eyewitness accounts [12]
and it is easily replicable. Just take a tall, narrow container, fill it with (possibly colored) water
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The great weight of the boat passing along
the river over the arch of the bridge does
not increase the weight on the bridge itself
because the boat weighs exactly the same
amount as the quantity of water it displaces
[13],
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and several demonstrations for illustrating this
effect are available [14, 15].
2.2. Diver in a bottle
The Titanic was carrying a lot of wealthy people,
and there have been several expeditions targeted
to retrieve these objects and valuables [16]. We
can simulate a diving expedition in a bottle. We
build a Cartesian diver using the cap of Bic pen
and plasticine (Pongo) [17], we close the hole in
the top of the cap and then we burden the spout
so that the diver is barely floating. Then we introduce it in a plastic bottle filled with water to the
brim, and we plug the bottle. How can we convince the diver to go down, given that the bottle
is sealed?
We show that we could induce the diver to
go down and up at will, ‘magnetizing’ any object
(or an attendee hand) with our ‘mental power’.
Actually, what we do is just to increase the pressure inside the bottle by squeezing it with one
hand (in order to not let attendees discover the
trick, the bottle must be completely full otherwise
its deformation is too evident). Some already prepared bottles are circulated among attendees so
that they can check the effect by themselves.
But now the question is: What happens inside
the bottle when we squeeze it? OK, the internal
pressure increases, and so what? Why is the diver
sinking?
Some proposed explanations concerning the
increasing density of water, which, in any case,
would rather favor the floating. It is convenient
to ‘break’ the experiment in pieces and ask: why
is the cap floating, even if it is made by material
denser than water?
Finally, the right interpretation arises: it is the
air bubble inside of the cap that makes it float, and
by increasing the pressure of the incompressible
water, the volume of this bubble reduces, decreasing the buoyancy that keeps the diver afloat.
This phenomenon is then shown visually, replacing the diver with one made with a
transparent cap. Given that the water pressure
increases with depth, by adjusting the strength
of the hand is also possible to also let the diver
remain stationary at a certain depth. Just a
demonstration of the principle of Archimedes,
coupled to Stevin’s (hydrostatic paradox) and
Boyle’s laws [18, 19]. The show can be made
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Figure 1. Lowering the sea level after the sinking of
the Titanic.
more dramatic by sinking a ‘precious necklaces’
made with the cap rim of disposable plastic
bottles, some plastic beads and glue, and having them retrieved by the diver, which has some
hooks attached to the plasticine [17].
2.3. Water in the net
This experiment usually is carried out with a
piece of cloth (a ‘hanky’) [20, 21] but we use a
wire gauze [22]. We stretch a piece of tulle over a
glass jar and we secure it with a rubber band. We
fill the jar through the tulle to show that the water
can pass. Then we close the jar with a piece of
plastic and turn everything upside down. Finally,
we slowly side slip the plastic. We show that the
water does not fall, unless one tilts the jar. The
amazing thing is that one can repeat the trick with
a net with a very broad mesh, with holes up to
about half a centimeter in diameter. In this case
the success heavily relies in keeping the surface
horizontal. Just a small tilt or hit of the jar (or a
fold in the mesh) and the water falls.
In reality, one should be more surprised
by the difficulty of keeping the water in the net.
Indeed, we show that it is possible to use a straw
with a closed upper end for ‘pipetting’ a water
sample. One can use a straw with quite a large
‘hole’, up to one centimeter, and the water stays
there.
The difference is that the mesh is equivalent
to many coupled straws (because they communicate through the liquid). To show what happens, we built a device with two coupled straws
(figure 2), each with a diameter of about 6 mm.
If the straws are half-filled, they are quite stable,
and the device can be inclined without problems.
However, if the device is filled up to the central
straw, it is almost impossible to keep the water in.
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Since the two water-air membranes are connected
by water, each of them is transferring pressure to
the other, similar to two connected soap bubbles
[23]. Even a small inclination will increase the
weight on the lower water–air surface, surpassing
the surface tension. With a separate straw, one can
show that the surface tension and the depression
inside the straw can keep the water up to the level
in the central arm of the ‘T ’ device, demonstrating that the leakage effect is due to the coupling
and not just the water pressure.
2.4. Balancing broom
Let us switch to mechanics. One almost magical
‘trick’ is the tightrope broom [24, 25]. We take a
broom and we ask an audience member to find
its center of mass, i.e. the point at which it can
be balanced on one finger. Of course, to find this
point one needs to make several attempts, and we
point out that if the broom will fall unless it is
perfectly balanced.
After that, we blindfold the volunteer, ask
him/her to hold his/her arms open and horizontal and we put the broom on the indices of the
volunteer’s hands. Then we ask him/her to slowly
approach his/her hands: with a great astonishment
of the audience, the broom does not fall, and the
two fingers join directly beneath its center of
mass (figure 3). Why?
The balance of a rigid body is given by
the vanishing of the sum of forces (otherwise
the body accelerates), but also by the fact that the
sum of torsions (force times distance) must be zero,
otherwise the body will rotate. The two fingers do
not exert the same force: the finger closer to the
center of mass exerts a larger force, as can be verified directly. Now the friction comes into play. The
intensity of friction is given by the coefficient of
friction (the same for the two fingers) and the pressing force. The finger closer to the center of mass
exerts a larger force and therefore feels more friction. Hence, it is the farthest from the center of mass
that slips, until it gets closer to the target than the
other hand. So, the two fingers alternately slip until
they join under the center of mass of the broom.
Figure 2. Coupled straws. When the water level is
below the connecting channel (left) the two straws are
practically uncoupled and they can sustain a certain
height of water (even much higher than in figure). When
the straws are coupled by water (right) the difference in
height causes the breakdown of the lower surface and
the water drops away.
Figure 3. Forces acting on the broom.
high coefficient of restitution) for instance a basket and a tennis ball [26, 27]. We first illustrate
their elastic properties, showing that they rebound
to amost the starting height, and that, as pointed
out by Galileo, all bodies fall with the same acceleration. This implies that the two balls, if dropped
from the same height, hits the ground at the same
time and with the same speed.
We then stack them, with the light tennis ball
on the top of the heavy basket ball. What height will
the upper ball reach? The same as before? Twice?
More? To the surprise of the audience, the tennis
ball jumps 3–4 meters high, even more. Why?
To get the answer in a simple manner (figure 4)
we suppose that the balls are perfectly elastic bodies, and that the mass of the bigger one
is infinitely greater than that of the other [28].
Attendees have to just remember one formula,
that comes from the conservation of energy: that
the height h0 is proportional to the square of the
final velocity v2.
2.5. Bouncing balls
Another magical effect can be produced with two
balls inflated more than usual (so that they have a
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Conservation of energy
E0 = mgh0 = Ef =
After the collision of
the first ball
Elastic collision
and m2 << m1
1
mv2
2
and therefore h0 =
v2
2
v2 = −v
2
~ ∼
v 2' _ 2v
1
v1 = v
1
~ ∼
v 1' _ 0
2g
h0
In the external reference
system
In the reference system
of the first ball
Elastic collision
−v
v
2
~
v2 = −2v
1
~
v1 = 0
From which
hf =
(v'2)
2g
2
_ 3v
v'2 ∼
1
_v
v'1 ∼
2
= 9
v2
= 9h0
2g
Figure 4. Approximate calculation of the collision of two perfectly elastic balls, with infinitely different masses.
In an ideal world, the lighter ball should
arrive at a height of... 9h0 ! If we drop the two
balls from a height of one meter and a half, we
can easily reach the ceiling (perhaps smashing a
lamp, with a significant visual impact). If we put
a third ball on the top of the second one, we could
get to... 49h0 !
From a practical standpoint, it is not easy to
keep the balls balanced before dropping them.
We need to prepare some support with a plastic
material such as clay to be inserted between them.
Another possibility is to use crazy balls with a
hole, using a stick to guide them [29].
The speaker can use this demonstration for
illustrating the mechanism for the explosion of a
supernova [28]. If one uses a basket and a tennis
ball, it is also possible to complement the astronomical argument with an additional question:
the relative size of these balls is roughly the same
of that of the Earth and the Moon. At what distance should one place the tennis and the basket
January 2019
ball to have the same scaling? And where should
one place the International Space Station (ISS)?
Attendees are surprised to discover that the
Moon stays at 32 Earth diameters, i.e. about 8
meters, while the ISS is just one centimeter away
from the basket ball. But if the ISS is so close,
why are astronauts weightless? Is there no gravity
in space ? [30, 31].
2.6. Drinking bird
At the beginning of each show we place in a
corner a drinking bird (figure 5), which continues oscillating all the time. We regularly remind
attendees to check this movement.
At the end of the show, we ask our public
to propose explanations of how this toy works.
Where does it take the energy to move from? If it
extracts heat from the environment, is not it violating the second law of thermodynamics according to Kelvin’s statement?
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Evaporation of water
(heat absorber)
High pressure
vapour
Low pressure
vapour
High pressure
vapour exiting
Wet felt
Heat source
(environment)
Figure 5. Drinking bird.
There are many articles and videos on the
drinking bird that illustrate the physics behind
this toy [32–35]. Indeed, the drinking bird is a
thermal machine which operates in a manner similar to the Italian ‘moka’ coffee machine (a device
well-known by our audience). In both devices
there is a boiler with a spout, fishing near the bottom. The heat vaporizes the liquid (water for the
coffee maker, an ether for the bird), and the pressure increases, pushing the liquid into the exhaust
pipe. In the moka, this tube is open and brings
to the overlying coffee container. In the drinking
bird, the tube brings to a closed overlying tank.
When the liquid rises, the center of mass
shifts, and the bird is jointed in such a way that
at a certain point it tilts, the bird beak dips in the
water and the liquid returns in the lower container. We point out that in the bird tube there is
no air: the parts without the liquid are filled by
its vapor. When the liquid rises, the steam in the
upper tank must condense, and it does so because
the pressure increases while the low temperature
is maintained by the evaporation of the water (the
upper tank is covered with a felt coating that is
kept wet by the water ‘drawn’ by the beak).
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So, the bird is a ‘conventional’ thermal
machine. If, however, we include in the thermodynamic system also the glass with the water,
something goes wrong: the whole system is at the
same temperature (we show it with a thermometer), how can it work?
The fact is that the air is not saturated with
vapor (if it were so, the mechanism would stop),
and therefore the water tends to evaporate, extracting heat from the bird. The motion is the result of
a competition between energy and entropy, as in
mixtures of ice and salt. If one closes the system
inside some container (a transparent plastic box
will do the job), it starts slowing down. Finally,
the system reaches equilibrium, and the bird stops
moving (as it does sometimes in sultry days) [36].
2.7. Tea leaves/meandering rivers
Fluids in motion are particularly suitable for magic
tricks. This demonstration deals with a problem
also faced by Einstein [37, 38]: why do tea leaves
always gather at the center of the cup when one
stirs the liquid [39]? The leaves are heavier than
water and therefore should, by centrifugal force,
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go towards the outer edge of the cup (as indeed
they do at the beginning). So, where does the
mysterious force which brings them back to the
center, even in a cup with a convex bottom, come
from? And what has this phenomenon to do with
the fact that the rivers, in broad valleys, tend to
become more tortuous with time (figure 6)?
To show the first part of the experiment, we
use a glass jar for preserves, with a convex base.
We show that when the water is at rest, leaves on
the bottom are resting along the edge, because it
is the lowest place. We therefore set the water in
rotation, and we point out that the surface of the
water takes the form of a parabola, higher towards
the outside, an easily explainable effect based on
the centrifugal force.
By projecting the jar seen from the bottom
with the help of a webcam (and circulating the
jar), all attendees are able to see that initially the
tea leaves indeed continue to stay along the outer
edge, but that shortly after, the ring formed by the
leaves in rotation begins to shrink, until the leaves
collapse into a central region, the highest point of
the bottom of the jar [32].
The explanation (figure 7), allows us to introduce the flow in a bending river as if it were ‘half’
of the cup. We show some pictures (an example
is shown in figure 6) illustrating how the rivers, if left free to determine their path, instead
of going straight to the sea tend to become more
and more tortuous, until they cross their own bed
and ‘cut away’ a loop which forms a small lake in
the shape of a horseshoe or a crescent. The same
behavior is responsible for the fact that when it
rains we see the formation of meandering water
threads on car windows (figure 8).
We reproduce this behavior using a plastic
plate tilted a few degrees relative to the vertical
(resting in the bowl) and an infusion tube. At first,
we drop some water droplets, and we show that
they come down along the direction of maximum
slope. Then we let the water run continuously
without moving the tube and we see that the water
thread tends to displace in a side direction, making
increasingly accentuated curves (figure 8). The
effect is more noticeable the faster the water flow.
The explanation that proves the existence of
this secondary flow, makes it possible to speak
also of the physics of the atmosphere, namely the
formation of tornadoes [38].
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Figure 6. Meanders of Rio Negro river, Patagonia,
Argentina seen from the ISS space station. Image
courtesy of the Earth Science and Remote Sensing
Unit, NASA Johnson Space Center. NASA Photo id
ISS022-E-19513 from http://eol.jsc.nasa.gov.
2.8. The obedient balloon
For another demonstration concerning moving
fluids, we exploit the famous experiment of an air
balloon suspended above the jet of an air dryer, or
a ping-pong ball above one blowing into a straw,
and the raise of a strip of paper by blowing above
it with a straw. The are many videos [40] and articles [41] for this topic.
For the balloon we call a volunteer from the
audience, we blindfold him/her, turn on the dryer
and show that a light ball or a balloon stays in
equilibrium without targeted efforts. One can also
carry it around as if it were connected by a wire.
We can do more: the balloon remains stationary
even if it the jet is not on vertical, up to considerable inclinations (figure 9). Why?
We want to avoid explanations based on
Bernoulli’s law, whose application is problematic
[42, 43]. We always use a microscopic model of
the fluid [44], visualized using ping-pong balls.
We all know that a gas is composed of molecules
traveling at a speed close to that of sound, and
that the pressure is given by the impact of such
molecules on a surface. Actually, one does not
need a real surface: the pressure is also given by
the number of particles crossing an ideal surface
per unit of time, multiplied by their momentum.
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In a gas at rest, the molecules are traveling in
all directions so that a suspended sheet of paper
remains stationary not because there are no collisions, but because it receives pushes equally
on both of its surfaces. But if we force a gas to
travel in one direction, there are fewer molecules
passing through a direct ideal surface parallel to
the flow, with respect to a gas at rest. In contrast,
if the surface is now perpendicular to the flow,
there are more molecules traversing it from the
side where the flow impacts than in the opposite
direction.
Thus, a moving fluid exerts a lower pressure,
compared to the same fluid at rest, in the direction
perpendicular to that of the flow, while obviously
exerts a greater pressure in the flow direction (figure 10). Therefore, the balloon, which is placed in
a region in which the flow widens, feels a transverse pressure that brings it back to the region
in which the flow is faster. It is in equilibrium
because it receives a transverse force and a direct
one from the flow, which compensates for the
force of gravity, and this also works up to a certain inclination.
The molecular model allows one to easily
introduce the Coanda effect, as due to intermolecular (Van der Waals) interactions.
z
Ug = mgz
Uc = ½ mω 2 r2
Ug + Uc = cost
fc = mω 2 r
Transverse flux
fg = mg
Resulting force
r
Tea leaves
Figure 7. Secondary (transverse) flow in a cup.
2.9. Roberto Carlos (Magnus effect)
Figure 8. Rivulets of water on glass. Image courtesy
of Markus Spiske.
The difference in pressure (‘Bernoulli’ effect)
or rather the viscous drag is also responsible for
the ‘curved trajectory’ (Magnus effect) exploited
in many sports such as baseball, soccer and
table tennis [45, 46]. In our demonstration we
show the effect using a cylinder built by rolling an
A4 sheet and securing it with the adhesive tape,
and a plastic slab [47]. Holding the slab slightly
inclined with respect to the horizontal, we first
drop a tennis ball, and marked the landing point
on the ground. Then we show the cylinder, stressing that it is more lightweight than the ball, asking
to vote on where it will fall with respect to the
mark. Same place? Closer? Farther away? To the
surprise of many, the cylinder even turns back.
We also show a video of the famous goal
by Roberto Carlos in 1997 [48], which always
awakes the soccer fans component of the public,
and a video of a basketball dropped from the top
of a dam, with and without rotation [46].
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ω
Figure 9. Balloon balanced on the jet of a dryer.
The explanation is the standard one, based on
the different velocities of the fluid in the reference
frame of the ball.
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2.10.Vortex cannon/smoke rings
Our last demonstration is with ‘real’ special effects,
using a vortex cannon [49] made by a plastic bin
with a round hole, closed by a rubber membrane
(but one can use a simple cardboard box) where air
is fired by hitting the membrane. We build a target
consisting of a pyramid of plastic cups, and we use
the cannon to break it, even from a distance. What
kind of bullets does the cannon fire? What is their
shape? How can an air ‘bullet’ get that far [50]?
To show what happens, we use a smoke
machine like those used for rock concerts. In
this way one can ‘see’ the swirl donut-shaped
(smoke ring) that comes out and travels throughout the theatre (it is convenient to use a cross-light
source, on a black background) [51].
But why are smoke rings so stable? Again,
the explanation involves the ‘Bernoulli’ effect:
the smoke donut surface moves out from the hole
of the donut itself, widening and then compressing, up to falling again into the hole. But inside
the donut the air is still, as it is outside. So, there
is a transverse pressure which confines the flow,
and therefore the donut remains stable until the
smoke keeps moving (figure 11).
Figure 10. ‘Bernoulli’ effect.
As said, the lessons have been organized as
a magic show, and in fact, as a ‘result’, FB was
invited on May 13, 2017 to participate in a real
‘magic’ show at the School of Magic ‘Corte dei
Miracoli’ (Court of Miracles) in Livorno [57].
The difference between a magic show and a
physics lesson is not in the demonstrations (which
must always have some amazing aspect) but in
the fact that one is going to ‘explain’ such effects.
The explanation, we discovered, can be more surprising than the demonstration itself.
Each lecture was attended by two or three
classes, with a variable number of students
between 30 and 50. The amplification system
(sometimes present) was never used, since that
would have required a headset wireless microphone for keeping hands free.
3. Experiences
3.1. Bocconi University and Free Age
University
These demonstrations have been first developed
in 2014 for a series of lessons for the ‘Università
dell’Età Libera’ (University of Free Age),
Municipality of Florence [52] and at the Bocconi
University (Milan), for the ‘sapere a tutto campo’
(knowledge across the board) special course [53].
Both courses have been repeated the following
year upon request. All courses have been attended
by about 40 people.
3.2.1. The evaluation questionnaire. We developed a questionnaire to gather some feedback
(see for instance [58]). The survey received 223
responses, collected during a period of three
months in winter 2017, after an interval of at least
one week after the lesson.
The age of the respondents is evenly distributed from 15 years old to 20, as well as with
regard to the gender.
The experience was considered very positively (figure 12) and most of the topics have been
further deepened in class or talking with peers
(figure 13).
For what concerns the various demonstrations (table 1), we can see (figure 14) that those
better remembered were the obedient balloon,
the gun vortex and bouncing balls while in the
3.2. High school lessons
In the winter 2016/2017 one of the authors (FB)
held 20 lectures in various schools in Tuscany
for the Pianeta Galileo project of the Tuscany
Region [54, 55], repeated the following year in
other eight schools. The lessons lasted about
one hour and a half. The videos of the first cycle
of lessons are available on YouTube, and in the
FisicaX blog [56].
January 2019
9
Phys. Educ. 54 (2019) 015025
F Bagnoli et al
Figure 11. Vortex cannon and cross-section of a smoke ring.
125
100
75
50
25
0
Highly
Quite
So and so
Little
Nothing
Figure 12. Reception.
last places there are the dipping bird and the tea
leaves, which evidently proves to be more difficult to explain or to understand. Surprisingly, the
diver was fourth place.
Pupils said they had redone some experiments (figure 15), preferably those that required
less preparation. About half of the students have
seen or shown the videos of the lectures or consulted the FisicaX site (figure 16).
Finally, with regard to the negative aspects,
most students denounced the audio or vision
problems and expressed their appreciation for the
use of the webcam to project the demonstrations
on the screen.
January 2019
3.3. The FoCoSTEP experience
These demonstrations have also been the core of
the didactical physics course of the FoCoSTEP
program [58] in the 2017.
FoCoSTEP is a new training program that
has been conceived and created at the ESPE of
Reunion (France). ESPE are state universities,
i.e. graduate schools of education. The goal of
the FoCoSTEP is to increase the quality and the
quantity of science and technology taught in primary and nursery schools. The specificity of this
training program is that it is based on the mutual
and global collaboration between the three
10
Phys. Educ. 54 (2019) 015025
Teaching physics by magic
100
60
40
20
0
Yes,
lesson
Yes,
Yes,
classmates internet/
book
Yes,
friends
Yes,
family
No
Figure 13. Deepening.
100
I did not like and I
do not remember
I remember but I di
not like it
75
So and so
I liked but I do not
remember
50
I liked and I
remember
25
in
g
ci
ng s
ba
lls
D
Ba iver
sk
et
ba
ll
W
at Bro
er
om
in
th
en
et
Ti
ta
D
ni
ip
c
pi
ng
bi
rd
Te
al
ea
ve
s
lo
Bo
un
ok
Sm
Ba
er
on
0
Figure 14. Rating experiments.
of interns in his class and supervises their work.
Usually, couples are formed by a student with
a scientific background and one with a humanistic one. Students are on stage one week every
two. The week in which they are not on stage,
FoCoSTEP students come to ESPE to follow
courses and other activities. The FoCoSTEP professors go to schools to attend the lessons held by
categories of the program’s actors: the graduate
students qualifying as primary and nursery school
teachers, the confirmed school teachers who hosts
these students for an internship, and ESPE science and technology professors.
During the school year, FoCoSTEP students
do an internship in a Reunion primary school.
Each confirmed school teacher hosts a couple
January 2019
11
Phys. Educ. 54 (2019) 015025
F Bagnoli et al
80
60
40
20
in
er
at
W
Sm
ok
er
in
gs
th
e
Te net
al
ea
ve
s
Ti
t
a
D
ni
ip
c
pi
ng
bi
rd
A
vi
de
o
N
ot
hi
ng
lls
ba
n
Bo
un
ci
ng
r
lo
o
iv
e
Ba
D
Br
oo
m
0
Figure 15. Experiments repeated by students.
2017 [60] and during the LivingKnowledge 2018
congress [61, 62].
students. Typically, each intern is ‘visited’ twice,
once a semester. Most of the time the lesson is
video recorded.
At the end of the visit, the FoCoSTEP professor, the confirmed teacher in charge of the class
and the two interns (the one who was ‘visited’
and his partner), debrief and make a critical analysis of the lesson that has just taken place. Video
recordings will be used during sessions of ‘critical analysis of teaching practices’, to which all
students and trainers attend. The physics program
proposed to the FoCoSTEP graduate students is
based on the physics demonstrations presented
here. Students are strongly encouraged to reproduce (some of) these demonstrations during the
classes they give to their internship schools. The
results at the competitive examination needed to
become a French school teacher encourage us to
develop and extend this program into the coming
school years. Indeed, the success rate of graduate students enrolled in the FoCoSTEP program
is much higher than that of other students (90%
versus 70%) [59].
4. Conclusions
In this paper we presented ten demonstrations
to be used in a scholastic or recreational context
with the purpose to teach physics in a more profitable way.
This series of demonstrations, possibly
expanded, could become a kind of laboratory,
where students, after watching an experiment, are
encouraged to propose explanations and discuss
among themselves whether the proposed hypotheses can work, if they do violate any law physics,
in the spirit of the peer instruction. As one can see
in the videos [63], we tried to stimulate the discussion also using the trick to have students ‘vote’
the most plausible explanation, but obviously one
cannot do much more in just one lesson, which
should therefore be considered only a stimulus.
Thanks to the two experiences described,
with the help of the questionnaire and the results
of the exams, we can say that a teaching method
like the one described above definitely promotes
a better learning of physics.
Obviously (and unfortunately) it is not always
possible to transform the teaching of physics into
a magic show, but it certainly would not be bad if
3.4. Science shows
All these demonstrations, plus others, have also
been exploited by some of the authors (FB and GP)
during physics shows, in particular Scienzestate
January 2019
12
Phys. Educ. 54 (2019) 015025
Teaching physics by magic
100
75
50
25
0
I watched
the video
I showed
the video
I consulted
the site
What is
FisicaX?
n.d.
Figure 16. Visit to the FisicaX [56] website.
the teachers learned at least some element of theatricality and of the construction of a narration.
Perhaps, we would not be so short of graduates in
science and engineering.
Received 13 June 2018, in final form 3 October 2018
Accepted for publication 1 November 2018
https://doi.org/10.1088/1361-6552/aaed62
References
[1]
Hespos S J and Marle K 2012 Physics for infants:
characterizing the origins of knowledge
about objects, substances, and number Wiley
Interdiscip. Rev.: Cogn. Sci. 3 19
[2] McCloskey M 1983 Intuitive physics Sci. Am.
248 122
[3] Chiandetti C and Vallortigara G 2013 The origins
of physics, number and space cognition:
insights from a chick’s brain Hum. Evol. 28 17
[4] Fenker D and Schütze H 2008 Learning by
surprise Scientific American blog December
17, 2008. (www.scientificamerican.com/
article/learning-by-surprise/)
[5] Sprott J C 2015 Physics Demonstrations: A
Sourcebook for Teachers of Physics (Madison,
WI: University of Wisconsin Press)
[6] Featonby D 2010 Magic physics? Phys. Educ.
45 24
[7] Bagnoli F 2015 Sinking with the Titanic
Europhys. News 46 30
[8] Cameron J 1997 Titanic Twentieth Century Fox
(www.imdb.com/title/tt0120338/)
[9] 7tatertot 2009 Titanic sinking scene—part 2
(https://youtu.be/gf-CrVFpUjw)
[10] Discovery Channel 2003 MythBusters (https://
en.wikipedia.org/wiki/MythBusters)
[11] Discovery Channel 2015 Will a sinking ship suck
you down with it? Mith Busters, Season 4,
Acknowledgments
FB and GP acknowledge partial financial support
from the project ‘Divertirsi con la matematica e
la fisica: un ponte tra scuola secondaria, società
e università’ (Have fun with math and physics:
a bridge between secondary school, society and
university) funded by Italian Ministry of Education and Research (MIUR) PANN15T3_00158.
AG and FB acknowledge partial financial support from the Erasmus 2017 teacher exchange
program (University of Florence and University
of Reunion). AG acknowledges financial support
from the Internationalization Plan of the University of Florence 2018, Department of Physics and
Astronomy.
We thank Lapo Casetti, who participated in
some shows.
ORCID iDs
Franco Bagnoli
6293-0305
January 2019
https://orcid.org/0000-0002-
13
Phys. Educ. 54 (2019) 015025
F Bagnoli et al
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
Episode 12 aired on 22/2/2004 (https://youtu.
be/rvU_dkKdZ0U)
Hara T 1961 Japanese Destroyer Captain
(New York: Ballantine Books)
Versiero M 2010 Leonardo, Politics and
Allegories 4 (Codex Atlanticus Folio 563r)
(De Agostini) (https://halshs.archivesouvertes.fr/halshs-01385250/document)
Featonby D and Isaac F 2017 Balanced water!—
the answer Phys. Educ. 52 057002
Featonby D 2011 What happens next? Do floating
beakers displace water? Phys. Educ. 46 630
Titanic-Facts.com 2012 Titanic artifacts (www.
titanic-facts.com/titanic-artifacts.html)
Amir N and Subramaniam R 2007 Making a fun
Cartesian diver: a simple project to engage
kinaesthetic learners Phys. Educ. 42 478
Wilson A E 1995 The hydrostatic paradox
Phys. Teach. 33 538–9
Latal F 2015 Hydrostatic paradox (https://youtu.
be/J7ymn6f2Bl8)
Physics.org 2013 Waterproof Hanky (www.
physics.org/interact/physics-to-go/
waterproof-hanky/index.html)
Naked Scientists 2007 Waterproof Hanky
(www.thenakedscientists.com/get-naked/
experiments/waterproof-hanky)
Steve Spangler 2011 Science Mysterious water
suspension (www.stevespanglerscience.com/
lab/experiments/water-screen/)
Physicstask.eu 2017 Two connected soap
bubbles Department of Physics Education,
Faculty of Mathematics and Physics, Charles
University in Prague (http://physicstasks.
eu/2077/two-connected-soap-bubbles)
Allain R 2012 Balancing brooms: it’s not
about the planets (www.wired.
com/2012/03/balancing-brooms-its-notabout-the-planets/)
Fry S et al 2013 Balancing a Broom (QI: Series
K Episode 9 BBC Two (UK: BBC)) (https://
youtu.be/B4axmjVFsK8)
Physics Girl 2015 Stacked ball drop (https://
youtu.be/2UHS883_P60)
Nave R 2000 Double ball drop Hyperphysics
(http://hyperphysics.phy-astr.gsu.edu/hbase/
doubal.html)
Guy 2016 Stacked ball drop—lessons in
conservation of energy and momentum
schiphile.org (http://sciphile.org/lessons/
stacked-ball-drop-lessons-conservationenergy-and-momentum)
Arbor Scientific 2017 Astro blaster (www.
arborsci.com/astro-blaster.html)
Muller D 2012 Why are astronauts weightless?
Veritasium YouTube channel (https://youtu.
be/iQOHRKKNNLQ)
January 2019
[31] Bagnoli F and Pacini G 2018 Cadere con stile falling with style G. Fis. 2018 217–28
[32] Miller J S 1958 Physics of the dunking duck Am.
J. Phys. 26 42
[33] Mentzer R 1993 The drinking bird—the
little heat engine that could Phys. Teach.
31 126
[34] The Penguine Egg 2017 Drinking bird 10 h
(https://youtu.be/PCuf86tbbXs)
[35] Hermans L J F (Jo) 2015 Dipping bird Europhys.
News 46 41
[36] Güémez J, Valiente R, Fiolhais C and Fiolhais M
2003 Experiments with the drinking bird Am.
J. Phys. 71 1257
[37] Einstein A 1926 Die Ursache der
Mäanderbildung der Flußläufe und des
sogenannten Baerschen Gesetzes (Die
Naturwissenschaften vol 14) (Berlin:
Springer) pp 223–4
Einstein A and Yogananda C S 2000 The cause
of the formation of meanders in the courses
of rivers and of the so-called Baer’s Law
Resonance 5 105
[38] Tandon A 2010 Einstein’s tea leaves and
pressure systems in the atmosphere
Phys. Teach. 48 292
[39] Terribleusername0001 2012 The tea
leaf paradox (www.youtube.com/
watch?v=sxAiRe_QWWA)
[40] Exploratorium Teacher 2015 Institute Balancing
ball (www.exploratorium.edu/snacks/
balancing-ball)
[41] López-Arias T, Gratton L M, Zendri G and
Oss S 2011 Forces acting on a ball in an air
jet Phys. Educ. 46 146
[42] Kamela M 2007 Thinking about Bernoulli
Phys. Teach. 45 379
[43] Physics Girl 2013 How to float a ping pong ball
on air—the Coandă effect (https://youtu.be/
kR2Oi3XCX18)
[44] Feynman R, Leighton R B and Sands M 2011
The Feynman Lectures on Physics vol I
(New York: Basic Books) ch 39.2
[45] Ireson G 2001 Beckham as physicist?
Phys. Educ. 36 10
[46] Muller D 2015 Surprising applications of the
Magnus effect Veritasium YouTube channel
(https://youtu.be/2OSrvzNW9FE)
[47] Veritasium 2011 What is the Magnus force?
(https://youtu.be/23f1jvGUWJs)
[48] Tiziano 2010 Punizione Roberto Carlos
Francia Brasile 1997 (https://youtu.be/
KwHBp3yqnLQ)
[49] Skulls in the Stars 2012 Physics
demonstrations: vortex cannon! (https://
skullsinthestars.com/2012/08/28/
physics-demonstrations-vortex-cannon/)
14
Phys. Educ. 54 (2019) 015025
Teaching physics by magic
[63] Bagnoli F 2017 Pianeta galileo 2016–2017
FisicaX (http://fisicax.complexworld.net/
video/pianeta-galileo-2016-2017)
[50] Physics Education 2010 ‘Best of physics
education’—david richardson: air cannons and
accuracy (https://youtu.be/Kn0rvKBFpaw)
[51] Sick Science! 2009 Giant smoke rings—cool
science experiment Steve Spangler Science
(https://youtu.be/-VL0M0jmu7k)
[52] Comune di Firenze 2016 Università dell’età
libera (http://educazione.comune.fi.it/
oltre14anni/UEL/uel.html)
[53] Bagnoli F 2014 Sapere a Tutto Campo
(Università Bocconi Italy) (http://fisicax.
complexworld.net/video/lo-spettacolo-dellafisica-nella-vita-di-tutti-i-giorni)
[54] Consiglio Regione Toscana 2016 Pianeta Galileo
2016 (www.consiglio.regione.toscana.it/
galileo/default?anno=2016)
[55] Bagnoli F 2017 20 Lezioni di fisica e magia G.
Fis. LVIII 174
[56] Bagnoli F 2016 Fisica X (http://fisicax.
complexworld.net/)
[57] La Corte dei Miracoli, Facebook (www.facebook.
com/La-Corte-dei-Miracoli-550645781683885/)
[58] Sardo M 2009 Physics in the field:
evaluation report University of the
West of England (http://eprints.uwe.
ac.uk/15659)
[59] Guarino A, Marvilliers S, Pacini G and
Bagnoli F 2018 Improving science teaching
in primary schools: FoCoSTEP, a French
experience of training support Formazione
Insegnamento XVI 241 (http://ojs.
pensamultimedia.it/index.php/siref/article/
view/2743/2418)
[60] OpenLab 2012 Scienzestate University of
Florence (www.openlab.unifi.it/)
[61] Matolay R 2018 8th Living Knowledge Conf.
(30 May–1 June, 2018. Budapest, Hungry)
(www.livingknowledge.org/lk8/)
[62] Bagnoli F and Pacini G 2018 Magic
physics show at LK8 FisicaX (http://
fisicax.complexworld.net/video/
magic-physics-at-lk8)
January 2019
Franco Bagnoli is a theoretical
matter physicists working on the
physics of complex systems in the
University of Florence. He teaches
basic and computational physics.
He is the president of the
association for the popularization
of science and technology "Caffè-Scienza Firenze".
Alessio Guarino is an
experimental physicist working on
fluid and fracture dynamics, social
physics and education science.
After obtaining a PhD in Physics
at the École Normale Supérieure
de Lyon, he was a researcher at the
University of California at Santa
Barbara (USA) for nearly two
years. Back in France in 2001, he
worked as a physics professor at the École Normale
Supérieure de Lyon, the University of French
Polynesia, the University of Marseille and the
University of Reunion. Between 2011 and 2015 he
headed, for the government of French Polynesia, the
Department of Evaluation, Foresight and Performance
[DEPP] of French Polynesia. He teaches physics at the
Ecole Supérieure du Professorat et de l'Education
(ESPE), University of La Réunion.
Giovanna Pacini is a science
communicator and the coordinator
of the Florence Science Shop of
the University of Florence. She
teaches communication of science
to PhD students of the University
of Florence.
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Phys. Educ. 54 (2019) 015025