Atomic force microscopy (AFM) is a powerful tool used in the investigation of the structural and

mechanical properties of a wide range of materials including biomaterials. It provides the ability

to acquire high resolution images of biomaterials at t…

# Atomic force microscopy for university students: applications in biomaterials

Atomic force microscopy (AFM) is a powerful tool used in the investigation of the structural and

mechanical properties of a wide range of materials including biomaterials. It provides the ability

to acquire high resolution images of biomaterials at t…

# Observation of relativistic effects by a single observer: a geometric interpretation using Loedel diagrams

The apparent length of a relativistically moving rod and visualization of the Einstein time dilation

are studied. The description of events in space-time is given geometrically as viewed from two

different inertial frames that are in relative motion …

# Designing an ultrafast laser virtual laboratory using MATLAB GUIDE

In this work we present a virtual simulator developed using the MATLAB GUIDE environment based on

the numerical resolution of the nonlinear Schrödinger equation (NLS) and using the split step method

for the study of the spatial–temporal propagat…

# Jacobi’s approach to the Lagrange top

The integration of the differential equations of motion of the symmetric top, described by the Euler

angles as coordinates, is revisited using Jacobi’s elliptic functions for the nutation angle and

Jacobi’s theta functions for the rotation ψ and…

# Observation of relativistic effects by a single observer: a geometric interpretation using Loedel diagrams

The apparent length of a relativistically moving rod and visualization of the Einstein time dilation

are studied. The description of events in space-time is given geometrically as viewed from two

different inertial frames that are in relative motion …

# Designing an ultrafast laser virtual laboratory using MATLAB GUIDE

In this work we present a virtual simulator developed using the MATLAB GUIDE environment based on

the numerical resolution of the nonlinear Schrödinger equation (NLS) and using the split step method

for the study of the spatial–temporal propagat…

# Jacobi’s approach to the Lagrange top

The integration of the differential equations of motion of the symmetric top, described by the Euler

angles as coordinates, is revisited using Jacobi’s elliptic functions for the nutation angle and

Jacobi’s theta functions for the rotation ψ and…

# Insights into teaching quantum mechanics in secondary and lower undergraduate education

Author(s): K. Krijtenburg-Lewerissa, H. J. Pol, A. Brinkman, and W. R. van Joolingen

There is significant need for research on the teaching, learning, and assessment of quantum mechanics topics at the secondary and introductory undergraduate levels.

[Phys. Rev. Phys. Educ. Res. 13, 010109] Published Fri Feb 17, 2017

# To draw or not to draw? Examining the necessity of problem diagrams using massive open online course experiments

Author(s): Zhongzhou Chen, Neset Demirci, Youn-Jeng Choi, and David E. PritchardInstructors are generally wasting their time when they create diagrams to illustrate homework and exam problems.[Phys. Rev. Phys. Educ. Res. 13, 010110] Published Fri Feb 1…

# To draw or not to draw? Examining the necessity of problem diagrams using massive open online course experiments

Author(s): Zhongzhou Chen, Neset Demirci, Youn-Jeng Choi, and David E. PritchardInstructors are generally wasting their time when they create diagrams to illustrate homework and exam problems.[Phys. Rev. Phys. Educ. Res. 13, 010110] Published Fri Feb 1…

# Insights into teaching quantum mechanics in secondary and lower undergraduate education

Author(s): K. Krijtenburg-Lewerissa, H. J. Pol, A. Brinkman, and W. R. van Joolingen

There is significant need for research on the teaching, learning, and assessment of quantum mechanics topics at the secondary and introductory undergraduate levels.

[Phys. Rev. Phys. Educ. Res. 13, 010109] Published Fri Feb 17, 2017

# Quantum phase transitions: a variational mean-field perspective

To illustrate a simple mean-field-like approach for examining quantum phase transitions we consider

the ##IMG## [http://ej.iop.org/images/0143-0807/38/3/033002/ejpaa5c71ieqn1.gif]

{$J\mbox{–}{J}^{\prime }$} quantum Heisenberg antiferromagnet on a sq…

# Quantum phase transitions: a variational mean-field perspective

To illustrate a simple mean-field-like approach for examining quantum phase transitions we consider

the ##IMG## [http://ej.iop.org/images/0143-0807/38/3/033002/ejpaa5c71ieqn1.gif]

{$J\mbox{–}{J}^{\prime }$} quantum Heisenberg antiferromagnet on a sq…

# Developing skills versus reinforcing concepts in physics labs: Insight from a survey of students’ beliefs about experimental physics

Author(s): Bethany R. Wilcox and H. J. Lewandowski

Lab courses focused on developing laboratory skills may result in more expert-like student beliefs about the nature of experimental physics than those focused on reinforcing physics concepts.

[Phys. Rev. Phys. Educ. Res. 13, 010108] Published Wed Feb 15, 2017

# Developing skills versus reinforcing concepts in physics labs: Insight from a survey of students’ beliefs about experimental physics

Author(s): Bethany R. Wilcox and H. J. Lewandowski

Lab courses focused on developing laboratory skills may result in more expert-like student beliefs about the nature of experimental physics than those focused on reinforcing physics concepts.

[Phys. Rev. Phys. Educ. Res. 13, 010108] Published Wed Feb 15, 2017

# Optogalvanic effect and laser-induced current oscillations in hollow-cathode lamps

This paper presents a study of two commercial hollow-cathode lamps (HCLs) with the intention

of demonstrating different phenomena in gas discharges. The optogalvanic effect in both HCLs is

produced by a laser diode radiated at the wavelength that …

# Complex systems: physics beyond physics

Complex systems are characterised by specific time-dependent interactions among their many

constituents. As a consequence they often manifest rich, non-trivial and unexpected behaviour.

Examples arise both in the physical and non-physical worlds. The…

# Determining the waist radius of a focused Gaussian laser beam using a millimeter-scale ruler

We present a simple and inexpensive method for determining the waist radius of a focused Gaussian

laser beam. This method is motivated by the fact that if you focus the laser beam using a lens, the

distance from the lens to the waist will vary slight…

# Complex systems: physics beyond physics

Complex systems are characterised by specific time-dependent interactions among their many

constituents. As a consequence they often manifest rich, non-trivial and unexpected behaviour.

Examples arise both in the physical and non-physical worlds. The…

# Optogalvanic effect and laser-induced current oscillations in hollow-cathode lamps

This paper presents a study of two commercial hollow-cathode lamps (HCLs) with the intention

of demonstrating different phenomena in gas discharges. The optogalvanic effect in both HCLs is

produced by a laser diode radiated at the wavelength that …

# Determining the waist radius of a focused Gaussian laser beam using a millimeter-scale ruler

We present a simple and inexpensive method for determining the waist radius of a focused Gaussian

laser beam. This method is motivated by the fact that if you focus the laser beam using a lens, the

distance from the lens to the waist will vary slight…

# Demonstrating Earth connections and fuses working together

Earth wires and fuses work together in UK mains circuits to keep users safe from electric shocks and

are taught in many school contexts. The subject can be quite abstract and difficult for pupils to

grasp, and a simple but visually clear and direct d…

# Interview: The future of planetary astrophysics

Zoë Leinhardt is a senior lecturer at Bristol University, and she is part of the Planet Formation

Group. David Richardson met with her to ask about this exciting area of physics and her journey to

what she does today.

# Ciênsação: gaining a feeling for sciences

Ciênsação, an open online repository for hands-on experiments, has been developed to convince

teachers in Latin America that science is best experienced first hand. Permitting students to

experiment autonomously in small groups can be a challengin…

# Reviews

Description unavailable

# Binding blocks: building the Universe one nucleus at a time

We present a new teaching and outreach activity based around the construction of a three-dimensional

chart of isotopes using ##IMG##

[http://ej.iop.org/images/0031-9120/52/2/024001/pedaa550cieqn001.gif]

{$\text{LEG}{{\text{O}}^{\circledR}}$} bricks …

# Demonstrating Earth connections and fuses working together

Earth wires and fuses work together in UK mains circuits to keep users safe from electric shocks and

are taught in many school contexts. The subject can be quite abstract and difficult for pupils to

grasp, and a simple but visually clear and direct d…

# Interview: The future of planetary astrophysics

Zoë Leinhardt is a senior lecturer at Bristol University, and she is part of the Planet Formation

Group. David Richardson met with her to ask about this exciting area of physics and her journey to

what she does today.

# Ciênsação: gaining a feeling for sciences

Ciênsação, an open online repository for hands-on experiments, has been developed to convince

teachers in Latin America that science is best experienced first hand. Permitting students to

experiment autonomously in small groups can be a challengin…

# Reviews

Description unavailable

# Binding blocks: building the Universe one nucleus at a time

We present a new teaching and outreach activity based around the construction of a three-dimensional

chart of isotopes using ##IMG##

[http://ej.iop.org/images/0031-9120/52/2/024001/pedaa550cieqn001.gif]

{$\text{LEG}{{\text{O}}^{\circledR}}$} bricks …

# Investigating and improving student understanding of the probability distributions for measuring physical observables in quantum mechanics

A solid grasp of the probability distributions for measuring physical observables is central to

connecting the quantum formalism to measurements. However, students often struggle with the

probability distributions of measurement outcomes for an obser…

# Investigating and improving student understanding of the probability distributions for measuring physical observables in quantum mechanics

A solid grasp of the probability distributions for measuring physical observables is central to

connecting the quantum formalism to measurements. However, students often struggle with the

probability distributions of measurement outcomes for an obser…

# Publisher’s announcement: What Happens Next? Ice cubes on drinks cans—the question (Featonby 2016 Phys. Educ . 51 047002 [http://https://doi.org/10.1088/0031-9120/51/4/047002] )

Description unavailable

# Publisher’s announcement: What Happens Next? Ice cubes on drinks cans—the question (Featonby 2016 Phys. Educ . 51 047002 [http://https://doi.org/10.1088/0031-9120/51/4/047002] )

Description unavailable

# The German Physics Olympiad—identifying and inspiring talents

Student competitions can act as potent enrichment measures and complement formal schooling in

fostering students’ motivation as well as promoting their skills. This article presents the German

Physics Olympiad, the national precursor to the Interna…

# Ultrahydrophobic water

When a water drop falls on an oscillating soapy water surface it is observed that coalescence of the

drop is inhibited because the drops are bouncing on the surface like on a trampoline. In our

research we made experimental and theoretical investigat…

# The warm, rich sound of valve guitar amplifiers

Practical solid state diodes and transistors have made glass valve technology nearly obsolete.

Nevertheless, valves survive largely because electric guitar players much prefer the sound of valve

amplifiers to the sound of transistor amplifiers. This …

# Chain Experiment competition inspires learning of physics

The Chain Experiment is an annual competition which originated in Slovenia in 2005 and later

expanded to Poland in 2013. For the purpose of the event, each participating team designs and builds

a contraption that transports a small steel ball from on…

# The German Physics Olympiad—identifying and inspiring talents

Student competitions can act as potent enrichment measures and complement formal schooling in

fostering students’ motivation as well as promoting their skills. This article presents the German

Physics Olympiad, the national precursor to the Interna…

# The warm, rich sound of valve guitar amplifiers

Practical solid state diodes and transistors have made glass valve technology nearly obsolete.

Nevertheless, valves survive largely because electric guitar players much prefer the sound of valve

amplifiers to the sound of transistor amplifiers. This …

# Assessing learning outcomes from experiments in a science competition

The Slovene Science competition for primary school students aged between 6 and 12 years will be

explained briefly. The competition is based on experiments, which should be done well in advance

either at school or at home. An example of the proposed e…

# The International Young Physicists’ Tournament

The International Young Physicists’ Tournament (IYPT), is a competition for teams of secondary

school students, often referred to as the Physics World Cup. This year the 29th IYPT took place in

Russia with a new record of 29 competing teams from ar…

# Transport phenomena and dimensionless numbers: towards a new methodological approach

This review presents a new methodical approach to the classification of dimensionless numbers

as pair relationships of the main forces controlling transport phenomena in fluids at the

macroscopic level by using a tabulated form. To memorize the t…

# Assessing learning outcomes from experiments in a science competition

The Slovene Science competition for primary school students aged between 6 and 12 years will be

explained briefly. The competition is based on experiments, which should be done well in advance

either at school or at home. An example of the proposed e…

# Ultrahydrophobic water

When a water drop falls on an oscillating soapy water surface it is observed that coalescence of the

drop is inhibited because the drops are bouncing on the surface like on a trampoline. In our

research we made experimental and theoretical investigat…

# The International Young Physicists’ Tournament

The International Young Physicists’ Tournament (IYPT), is a competition for teams of secondary

school students, often referred to as the Physics World Cup. This year the 29th IYPT took place in

Russia with a new record of 29 competing teams from ar…

# Chain Experiment competition inspires learning of physics

The Chain Experiment is an annual competition which originated in Slovenia in 2005 and later

expanded to Poland in 2013. For the purpose of the event, each participating team designs and builds

a contraption that transports a small steel ball from on…

# Transport phenomena and dimensionless numbers: towards a new methodological approach

This review presents a new methodical approach to the classification of dimensionless numbers

as pair relationships of the main forces controlling transport phenomena in fluids at the

macroscopic level by using a tabulated form. To memorize the t…

# A simple diffraction experiment using banana stem as a natural grating

A simple diffraction experiment was designed using banana stem as natural grating. Coherent beams of

lasers with wavelengths of 632.8 nm and 532 nm that pass through banana stem produce periodic

diffraction patterns on a screen. The diffraction e…

# A simple diffraction experiment using banana stem as a natural grating

A simple diffraction experiment was designed using banana stem as natural grating. Coherent beams of

lasers with wavelengths of 632.8 nm and 532 nm that pass through banana stem produce periodic

diffraction patterns on a screen. The diffraction e…

# Publisher’s Note: Electronics lab instructors’ approaches to troubleshooting instruction [Phys. Rev. Phys. Educ. Res. <b>13</b>, 010102 (2017)]

Author(s): Dimitri R. Dounas-Frazer and H. J. Lewandowski<br/>[Phys. Rev. Phys. Educ. Res. 13, 019902] Published Fri Feb 03, 2017

# Publisher’s Note: Peer Instruction in introductory physics: A method to bring about positive changes in students’ attitudes and beliefs [Phys. Rev. Phys. Educ. Res. <b>13</b>, 010104 (2017)]

Author(s): Ping Zhang, Lin Ding, and Eric Mazur<br/>[Phys. Rev. Phys. Educ. Res. 13, 019904] Published Fri Feb 03, 2017

# Publisher’s Note: Electronics lab instructors’ approaches to troubleshooting instruction [Phys. Rev. Phys. Educ. Res. <b>13</b>, 010102 (2017)]

Author(s): Dimitri R. Dounas-Frazer and H. J. Lewandowski<br/>[Phys. Rev. Phys. Educ. Res. 13, 019902] Published Fri Feb 03, 2017

# Publisher’s Note: Test on the effectiveness of the sum over paths approach in favoring the construction of an integrated knowledge of quantum physics in high school [Phys. Rev. Phys. Educ. Res. <b>13</b>, 010101 (2017)]

Author(s): Massimiliano Malgieri, Pasquale Onorato, and Anna De Ambrosis<br/>[Phys. Rev. Phys. Educ. Res. 13, 019901] Published Fri Feb 03, 2017

# Publisher’s Note: Peer Instruction in introductory physics: A method to bring about positive changes in students’ attitudes and beliefs [Phys. Rev. Phys. Educ. Res. <b>13</b>, 010104 (2017)]

Author(s): Ping Zhang, Lin Ding, and Eric Mazur<br/>[Phys. Rev. Phys. Educ. Res. 13, 019904] Published Fri Feb 03, 2017

# Editorial: From the APS Editor in Chief

Author(s): Pierre Meystre<br/>[Phys. Rev. Phys. Educ. Res. 13, 010001] Published Fri Feb 03, 2017

# Publisher’s Note: Test on the effectiveness of the sum over paths approach in favoring the construction of an integrated knowledge of quantum physics in high school [Phys. Rev. Phys. Educ. Res. <b>13</b>, 010101 (2017)]

Author(s): Massimiliano Malgieri, Pasquale Onorato, and Anna De Ambrosis<br/>[Phys. Rev. Phys. Educ. Res. 13, 019901] Published Fri Feb 03, 2017

# Publisher’s Note: Examining evolving performance on the Force Concept Inventory using factor analysis [Phys. Rev. Phys. Educ. Res. <b>13</b>, 010103 (2017)]

Author(s): M. R. Semak, R. D. Dietz, R. H. Pearson, and C. W. Willis<br/>[Phys. Rev. Phys. Educ. Res. 13, 019903] Published Fri Feb 03, 2017

# Editorial: From the APS Editor in Chief

Author(s): Pierre Meystre<br/>[Phys. Rev. Phys. Educ. Res. 13, 010001] Published Fri Feb 03, 2017

# Publisher’s Note: Examining evolving performance on the Force Concept Inventory using factor analysis [Phys. Rev. Phys. Educ. Res. <b>13</b>, 010103 (2017)]

Author(s): M. R. Semak, R. D. Dietz, R. H. Pearson, and C. W. Willis<br/>[Phys. Rev. Phys. Educ. Res. 13, 019903] Published Fri Feb 03, 2017

# Understanding the power reflection and transmission coefficients of a plane wave at a planar interface

In most textbooks, after discussing the partial transmission and reflection of a plane wave at a

planar interface, the power (energy) reflection and transmission coefficients are introduced by

calculating the normal-to-interface components of the Poy…

# Insights from simple models for surface states in nanostructures

Surface passivation is of great technological importance due to the increasing miniaturisation of

electronic devices. It has been known for many years that under certain conditions surface states

can form; when they do so in a quantum well (QW) the r…

# Teaching advanced science concepts through Freshman Research Immersion

We have developed a new introductory physics/chemistry programme that teaches advanced science

topics and practical laboratory skills to freshmen undergraduate students through the use of

student-led, bona fide research activities. While many recent …

# Tilting a wobbly chair

If a small object is placed under the front leg of a chair, the chair tilts backwards. If the object

is placed under a rear leg, the chair tilts sideways. The effect is surprising but can be analysed

in terms of elementary physics.

# Quantum harmonic oscillator: an elementary derivation of the energy spectrum

An elementary treatment of the quantum harmonic oscillator is proposed. No previous knowledge of

linear differential equation theory or Fourier analysis are required, but rather only a few basics

of elementary calculus. The pivotal role in our analys…

# Shadows constructing a relationship between light and color pigments by physical and mathematical perspectives

Full shadows, partial shadows and multilayer shadows are explained based on the phenomenon of the

linear dispersion of light. This paper focuses on progressing the understanding of shadows from

physical and mathematical perspectives. A significant re…

# Teaching advanced science concepts through Freshman Research Immersion

We have developed a new introductory physics/chemistry programme that teaches advanced science

topics and practical laboratory skills to freshmen undergraduate students through the use of

student-led, bona fide research activities. While many recent …

# Exorcising Pepper’s ghost

The well-known demonstration of Pepper’s ghost can be enhanced by the use of linear polarisers,

which can make the image disappear.

# Putting more ‘modern’ in modern physics education: a Knowledge Building approach using student questions and ideas about the universe

Student-generated questions and ideas about our universe are the start of a rich and highly

motivating learning environment. Using their curiosity-driven questions and ideas, students form

Knowledge Building groups or ‘communities’ where they pla…

# Measurement of the ratio h / e with a photomultiplier tube and a set of LEDs

We propose a laboratory experience aimed at undergraduate physics students to understand the main

features of the photoelectric effect and to perform a measurement of the ratio h / e , where h is

Planck’s constant and e is the electron charge. The …

# Shadows constructing a relationship between light and color pigments by physical and mathematical perspectives

Full shadows, partial shadows and multilayer shadows are explained based on the phenomenon of the

linear dispersion of light. This paper focuses on progressing the understanding of shadows from

physical and mathematical perspectives. A significant re…

# Exorcising Pepper’s ghost

The well-known demonstration of Pepper’s ghost can be enhanced by the use of linear polarisers,

which can make the image disappear.

# Insights from simple models for surface states in nanostructures

Surface passivation is of great technological importance due to the increasing miniaturisation of

electronic devices. It has been known for many years that under certain conditions surface states

can form; when they do so in a quantum well (QW) the r…

# Putting more ‘modern’ in modern physics education: a Knowledge Building approach using student questions and ideas about the universe

Student-generated questions and ideas about our universe are the start of a rich and highly

motivating learning environment. Using their curiosity-driven questions and ideas, students form

Knowledge Building groups or ‘communities’ where they pla…

# Coefficient of restitution for a superelastic collision

A simple experiment is described where the tip of a metal ruler is used to strike a 50 g mass. Since

the ruler is very flexible, the impact duration is much longer than usual, giving the impression

that the ruler simply pushes the mass forward at lo…

# Coefficient of restitution for a superelastic collision

A simple experiment is described where the tip of a metal ruler is used to strike a 50 g mass. Since

the ruler is very flexible, the impact duration is much longer than usual, giving the impression

that the ruler simply pushes the mass forward at lo…

# Tilting a wobbly chair

If a small object is placed under the front leg of a chair, the chair tilts backwards. If the object

is placed under a rear leg, the chair tilts sideways. The effect is surprising but can be analysed

in terms of elementary physics.

# Measurement of the ratio h / e with a photomultiplier tube and a set of LEDs

We propose a laboratory experience aimed at undergraduate physics students to understand the main

features of the photoelectric effect and to perform a measurement of the ratio h / e , where h is

Planck’s constant and e is the electron charge. The …

# Understanding the power reflection and transmission coefficients of a plane wave at a planar interface

In most textbooks, after discussing the partial transmission and reflection of a plane wave at a

planar interface, the power (energy) reflection and transmission coefficients are introduced by

calculating the normal-to-interface components of the Poy…

# Quantum harmonic oscillator: an elementary derivation of the energy spectrum

An elementary treatment of the quantum harmonic oscillator is proposed. No previous knowledge of

linear differential equation theory or Fourier analysis are required, but rather only a few basics

of elementary calculus. The pivotal role in our analys…

# Visual explanations behind important equations in astronomy

When connections between related observations and facts are not being made, introductory science

classes can be perceived as an accumulation of disjointed equations with the risk of losing both

students’ interest as well as their grasp of the mater…

# Visual explanations behind important equations in astronomy

When connections between related observations and facts are not being made, introductory science

classes can be perceived as an accumulation of disjointed equations with the risk of losing both

students’ interest as well as their grasp of the mater…

# Organizing physics teacher professional education around productive habit development: A way to meet reform challenges

Author(s): Eugenia Etkina, Bor Gregorcic, and Stamatis VokosTowards physics teacher preparation based on the development of productive habits.[Phys. Rev. Phys. Educ. Res. 13, 010107] Published Mon Jan 30, 2017

# Organizing physics teacher professional education around productive habit development: A way to meet reform challenges

Author(s): Eugenia Etkina, Bor Gregorcic, and Stamatis VokosTowards physics teacher preparation based on the development of productive habits.[Phys. Rev. Phys. Educ. Res. 13, 010107] Published Mon Jan 30, 2017

# Exploring the role of content knowledge in responsive teaching

Author(s): Lisa M. Goodhew and Amy D. RobertsonPhysics teacher preparation should support teachers in developing content knowledge alongside and integrated with responsive instructional practices.[Phys. Rev. Phys. Educ. Res. 13, 010106] Published Fri J…

# Exploring the role of content knowledge in responsive teaching

Author(s): Lisa M. Goodhew and Amy D. RobertsonPhysics teacher preparation should support teachers in developing content knowledge alongside and integrated with responsive instructional practices.[Phys. Rev. Phys. Educ. Res. 13, 010106] Published Fri J…

# Identifying content knowledge for teaching energy: Examples from high school physics

Author(s): Amy D. Robertson, Rachel E. Scherr, Lisa M. Goodhew, Abigail R. Daane, Kara E. Gray, and Leanna B. AkerIntroducting a methodology for identifying content-specific teacher knowledge that shapes their in-the-moment decisions during interaction…

# Identifying content knowledge for teaching energy: Examples from high school physics

Author(s): Amy D. Robertson, Rachel E. Scherr, Lisa M. Goodhew, Abigail R. Daane, Kara E. Gray, and Leanna B. AkerIntroducting a methodology for identifying content-specific teacher knowledge that shapes their in-the-moment decisions during interaction…

# An accessible four-dimensional treatment of Maxwell’s equations in terms of differential forms

Maxwell’s equations are derived in terms of differential forms in the four-dimensional Minkowski

representation, starting from the three-dimensional vector calculus differential version of these

equations. Introducing all the mathematical and physi…

# An accessible four-dimensional treatment of Maxwell’s equations in terms of differential forms

Maxwell’s equations are derived in terms of differential forms in the four-dimensional Minkowski

representation, starting from the three-dimensional vector calculus differential version of these

equations. Introducing all the mathematical and physi…

# Twenty-four tuba harmonics using a single pipe length

Harmonics arise naturally from the resonances in strings and pipes. A video demonstration (Ruiz 2016

YouTube: Tuba Harmonics ( https://youtu.be/souhEzOP9c4 [https://youtu.be/souhEzOP9c4] )) is provided

where a tubist (coauthor Holmes) produces a phen…

# Twenty-four tuba harmonics using a single pipe length

Harmonics arise naturally from the resonances in strings and pipes. A video demonstration (Ruiz 2016

YouTube: Tuba Harmonics ( https://youtu.be/souhEzOP9c4 [https://youtu.be/souhEzOP9c4] )) is provided

where a tubist (coauthor Holmes) produces a phen…

# Visualization of Kepler’s laws of planetary motion

For this article, we use a 3D printer to print a surface similar to universal gravitation for

demonstrating and investigating Kepler’s laws of planetary motion describing the motion of a small

ball on the surface. This novel experimental method all…

# Visualization of Kepler’s laws of planetary motion

For this article, we use a 3D printer to print a surface similar to universal gravitation for

demonstrating and investigating Kepler’s laws of planetary motion describing the motion of a small

ball on the surface. This novel experimental method all…

# Time-lapse and slow-motion tracking of temperature changes: response time of a thermometer

We propose the use of a smartphone based time-lapse and slow-motion video techniques together with

tracking analysis as valuable tools for investigating thermal processes such as the response time of

a thermometer. The two simple experimental activit…

# Time-lapse and slow-motion tracking of temperature changes: response time of a thermometer

We propose the use of a smartphone based time-lapse and slow-motion video techniques together with

tracking analysis as valuable tools for investigating thermal processes such as the response time of

a thermometer. The two simple experimental activit…

# Solution strategies for constant acceleration problems

We discuss strategies for the general solution of single-step 1D constant acceleration problems. In

a slightly restricted form, these problems have five variables (Δ x , v 0 , v , a and t ) and two

independent equations, so three variables must be g…

# Solution strategies for constant acceleration problems

We discuss strategies for the general solution of single-step 1D constant acceleration problems. In

a slightly restricted form, these problems have five variables (Δ x , v 0 , v , a and t ) and two

independent equations, so three variables must be g…