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What is Physics? Derek Raine (and many others) LeA Project www.ou.ac.uk/picetl www.le.ac.uk/i-science www.le.ac.uk/leap www.integratedsciences.org Here’s one definition… Standard model Lagrangian: [ L~ iD L eR iD eR (e, , ) me (eL eR eR eL )] 12 h h m 2 h 2 14 Z Z 14 0 ( g1 g 2 ) Z Z 2 14 A A 2 2 12 ( DW )* ( D W )* D W D W 12 g 2 0 W W 1 4 h2 1 2 h0 g 2 W W 12 ( g1 g 2 ) Z Z 2 2 2 2 2 2 m 2 h3 m 2 h 4 g 2 W W W W W W W W 2 4 20 80 ig 2 A sin w Z cos w W W W W 2 2 g 2 cos 2 w Z Z W W Z Z W W ig 2 cos w 2 Z W Z W D W D W Z W Z W ( D W and the rest… * ) ( D W )* u flavours ~ i i(2e / 3) A u L u R i i(2e / 3) A u R L d L ~ i i (e / 3) A u L u R i i(e / 3) A u R [md (d L d L d R d R ) mu (u L u R u R u L )] e e Z (1 (4 / 3) sin 2 w ) u R u R Z (4 / 3) sin 2 w [u L u R sin( 2 w ) sin( 2 w ) e e Z (1 (2 / 3) sin 2 w ) d R d R Z (2 / 3) sin 2 w ] d L ~ d L sin( 2 w ) sin( 2 w ) Vud e (u L , cL , t L ) Vcu 2 sin w V td 8 1 4 G G a a 1 a Vus Vub ~ d L ~ Vcs Vcb sL W h.c. Vts Vtb ~ bL [q i ( igG )q f f mf q f q f ] flavours + gravity Here’s another definition: the science of matter and energy and their interactions wordnet.princeton.edu/perl/webwn And from good old Wikipedia Physics (or "Physica", or "Physicae Auscultationes" meaning "lessons") is a key text in the philosophy of Aristotle Physics (from the Greek, φυσικός (phusikos), "natural", and φύσις (phusis), "nature") is the science of Nature in the broadest sense. en.wikipedia.org/wiki/Physics Physics is an instrumental band from San Diego, California, USA that has featured a rotating cast of musicians, but is currently composed of Jeff Coad and Will Goff on synths, Rob Crow, Jason Soares, and John Goff on guitars, and Cameron Jones on drums. en.wikipedia.org/wiki/Physics_(band) Why do we need to ask the question? The European Union (EU) has set a goal of becoming "the most competitive and dynamic knowledgebased economy in the world by 2010." Growth of university science education National Science Board. 2004. Science and Engineering Indicators 2004. Two volumes. Arlington, VA: National Science Foundation (volume 1, NSB 04-1; volume 2, NSB 04-1A). Growth in higher education in the UK participation rate in HE in the UK percentage participation 40 3233 30 20 10 0 1850 6 1 1900 1950 year 2000 2050 The retreat from science Attitudes to physics and chemistry • After instruction, students, on average, are found to be less expert-like in their thinking than before. They see physics as less connected to the real world, less interesting, and more as something to be memorized without understanding. This is true in almost all courses, including those with teaching practices that have substantially improved conceptual mastery. • CLASS Categories • • • • • • • Reality Personal View Physics is part of the student’s life – student cares about physics. Reality World View Physics describes phenomena in the World around us. Math Mathematical formulae describe physical phenomena. Sense Making It is important to me to make sense out of things when learning physics. Metacognition Awareness of what is necessary to learn and understand physics – self reflection. How to Learn Best learned by memorization of facts and methods without understanding. Coherence Physics consists of connected ideas. • • Calc-I LSRU/Fa03 engineers 63% 65% Calc-I MMSU/Fa03 physics maj 64% 54% The Design and Validation of the Colorado Learning Attitudes about Science Survey W. K. Adams, K. K. Perkins, M. Dubson, N. D. Finkelstein and C. E. Wieman CLASS (Colorado Learning Attitudes about Science Survey).htm The UK External Environment University entrants 1985-1999 (scaled to total) fraction of entrants per subject 0.04 0.035 0.03 Physics 0.025 Maths 0.02 Chemistry Biology 0.015 0.01 0.005 0 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 year since 1994, the number of UK universities offering degrees in physics has declined from 79 to 51 Physics BSc graduates working in the UK Physics related employment Information Technology What is Physics – View from the IOP Mechanics and Relativity 17th Century Classical mechanics: Newton’s laws, conservation laws, rotation, Newtonian gravitation, Kepler’s laws, Special relativity to the level of: Lorentz transformations and energy momentum relationship Quantum Physics Background to QM to include: early 20th Century Black body radiation, Photoelectric effect, Wave-particle duality, Heisenberg’s Uncertainty Principle Schrödinger wave equation to include: Wave function and its interpretation, Standard solutions and quantum numbers, to the level of the hydrogen atom, Tunnelling, First order time independent perturbation theory Atomic, nuclear and particle physics to include: Quantum structure and spectra of simple atoms, Nuclear masses and binding energies, Radioactive decay, fission and fusion, Pauli exclusion principle, fermions and bosons and elementary particles, Fundamental forces and the Standard Model Condensed Matter Physics early 20th Century Mechanical properties of matter to include elasticity and thermal expansion, Inter-atomic forces and bonding, Phonons and heat capacity, Crystal structure and Bragg scattering, Electron theory of solids to the level of simple band structure, Semiconductors and doping, Magnetic properties of matter Oscillations and Waves 19th Century Free, damped, forced and coupled oscillations to include resonance and normal modes, Waves in linear media to the level of group velocity, Waves on strings, sound waves and EM waves, Doppler effect Electromagnetism 19th Century Electrostatics and magnetostatics, DC and AC circuit analysis to complex impedance, transients and resonance, Gauss, Faraday, Ampère, Lenz and Lorentz laws to the level of their vector expression, Maxwell’s equations and plane EM wave solution; Poynting vector, EM spectrum Polarisation of waves and behaviour at plane interfaces Optics mainly 19th Century Geometrical optics to the level of simple optical systems, Interference and diffraction at single and multiple apertures, Dispersion by prisms and diffraction gratings, Optical Cavities and laser action Thermodynamics and Statistical Physics Zeroth, first and second laws of thermodynamics: 18th – 19th Century Temperature scales, work, internal energy and heat capacity, Entropy, free energies and the Carnot Cycle, Changes of state Statistical mechanics: early 20th Century Kinetic theory of gases and the gas laws to Van der Waals equation, Statistical basis of entropy Maxwell-Boltzmann distribution, Bose-Einstein and Fermi-Dirac distributions, Density of states and partition function OK – so I’m cheating a bit – the standard model is 1970s ! A. PHYSICS SKILLS Students should learn: 1 How to tackle problems in physics and formulate an appropriate solution. For example, they should learn how to identify the appropriate physical principles; how to use special and limiting cases, dimensional analysis and order-of-magnitude estimates to guide their thinking about a problem; and how to present the solution making their assumptions explicit. 2 How to use mathematics to describe the physical world. They should know how to turn a physics problem into a mathematical form and have an understanding of mathematical modelling and of the role of approximation. 3 How to plan, execute and report the results of an experiment or investigation. All graduates of an accredited degree programme should have some appreciation of physics as an experimental science. They should have an understanding of the elements of experiment and observation and should therefore be able to • plan an experimental investigation; • use apparatus to acquire experimental data; • analyse data using appropriate techniques; • determine and interpret the measurement uncertainties (both systematic and random) in a measurement or observation; • report the results of an investigation; • understand how regulatory issues such as health and safety influence scientific experimentation and observation. For many degree programmes, experimental work in a conventional laboratory course will be a vital and challenging part and will provide students with the skills necessary to plan an investigation and collect and analyse data. However, these required skills may also be acquired through computer simulation, paper exercises with appropriate data, or case studies using real experimental data from a published source. Other methods may be used provided they meet the above objectives. 4 How to compare results critically with predictions from theory. Students should understand the concept of using data to test a hypothesis and be able to assess the reliability of data, to understand the significance of results, and to relate results from numerical modelling or experiment to the relevant theory . B. TRANSFERABLE SKILLS A Physics degree should enhance Problem-solving skills Physics degree programmes involve students in solving physics problems with well-defined solutions. They should also gain experience in tackling open-ended problems. Students should develop their ability to formulate problems in precise terms and to identify key issues. They should develop the confidence to try different approaches in order to make progress on challenging problems. Investigative Skills Students should have opportunities to develop their skills of independent investigation. They should develop the ability to find information by using textbooks and other available literature, by searching databases and the Internet, and through discussions with colleagues. Communications skills A physics degree should develop students’ ability to communicate complex information effectively and concisely by means of written documents, presentations or discussion. Students should be able to use technical language appropriately. Analytical skills Students should develop their ability to grasp complex concepts, to understand and interpret data precisely and to construct logical arguments. They should be able to distil a problem to its basic elements. IT skills Students should become familiar with appropriate software such as programming languages and packages. They should develop their computing and IT skills in a variety of areas including the preparation of documents, information searches, numerical calculations, and the manipulation and presentation of data. Personal skills Students should develop their ability to work independently, to use their initiative and to organise themselves to meet deadlines. They should gain experience of group work and be able to interact constructively with other people. Units Averages Rates of change Orders of magnitude Estimates Proportionality Intensive and extensive variables Graphical analysis Derivation of hypothesis from experiment Discrediting of a hypothesis by experiment Classic experiments overturning prior beliefs Use of a physical law for prediction Phenomenological laws Physical Reductionism Use of Analogies Mathematical models Change of frames of reference Symmetry Conservation laws, (energy, momentum) Open and closed systems Equilibrium, dynamic equilibrium Irreversibility Description of bulk properties in terms of constituents Fluctuations Transport Wave concepts Resonance Frequency space Phase space Concept of a field Quantum properties Science education and economic development The Relevance of Science Education study, which looked at 15-year-olds in 40 countries, found a 0.92 negative correlation between attitudes to school science and the UN index of human development. Problem-based learning Motion in 1D Dimensional analysis Kinematics Dynamics Conservation laws Motion in the plane Problem: The lead shot used in shotgun cartridges consists of small spherical pellets 23mm in diameter made by pouring molten lead through a frame suspended in a high tower, a method used since its invention by William Watts in 1782. In order to produce spherical shot the lead must solidify before the pellet has reached terminal velocity. How high should the tower be? Problem A design for a spaceship that would also function as an orbital space station might look like the dumbell form of Spaceship USS Discovery 1 from the film 2001: A Space Odyssey. The picture shows an artist’s impression with the spaceship moving round the Circular Orbits Earth oriented like a plane flying through the air. Equilibrium and Stability Dynamics of rotational motion Is there anything wrong with this? Simple Harmonic Motion Oscillations Problem: The Tour Sans Fins ("Tower Without Ends") was a tower planned in La Defénse that has since been cancelled. The spelling Tour Sans Fins (rather than the apparently correct French fin) comes from the idea that this tower had no ends, even if one looked up or down at it, hence "ends" and not "end". The Tour Sans Fins was meant to be 400m tall and would have been the tallest skyscraper in Europe. and Waves Oscillators Projectiles Properties of waves Water waves Current electricity Resistance Capacitors AC circuits Oil level in capacitor Resistor AC source speaker Problem: An ocean-based tsunami detection buoy has been successfully deployed 1200km southeast of Tasmania. How much warning will this give? Problem: Heart defibrillators, which are used to restore a regular heart beat, stimulate the heart to contract by delivering a short current pulse of duration 20 ms. In one type of defibrillator a capacitor is charged to a suitable voltage and then discharged through the patient's chest with the aid of two large electrodes. The defibrillator needs to be able to deliver pulses of up to 360 J to patients with transchest resistances ranging up to 150 ohms. Estimate values for capacitance and voltage needed to cope with these requirements. Problem: The figure shows a proposed device for measuring oil level. As the oil level changes so does the capacitance. At a certain level the speaker sounds as a warning. What values of the circuit elements could be used? Motion in 1D Problem: Making lead shot Dimensional analysis, Kinematics Dynamics, Conservation laws Motion in the plane Problem: What’s wrong with the artists impression? Circular Orbits Equilibrium and Stability Dynamics of rotational motion Simple Harmonic Motion Oscillations and Waves Oscillators, Projectiles, Properties of waves, Water waves Problem: The Tour Sans Fins ("Tower Without Ends") Problem: Warning from an ocean-based tsunami detection buoy? Resistance, Capacitors, AC circuits Problem: Heart defibrillators Problem: Oil level warning Electric & Magnetic Fields Electric fields, Fields Problem: How can linesmen work safely on live wires? Current electricity and potentials, Capacitance, Currents and magnetic fields Magnetic Fields Problem: What is happening in the pictures? Dipole fields Magnetic Induction Magnetic forces Magnetic materials Magnetic forces in Equilibrium Problem: Can a frog levitiate? Paramagnetism, Ferromagnetism, Electromagnets, Diamagnetism Electromagnetic waves Problem: Detecting leaking water pipes in the desert. Electromagnetic waves, Fields at Boundaries, Reflection and refraction, Water pipes in the desert Geometrical optics Reflection, Refraction , Lenses Problem: How do glasses work? Problem: Explain a diffraction pattern Physical Optics Wave properties and superposition, Interference, Diffraction Atomic structure Problem: Detecting Atmospheric contaminants Nuclei and radioactivity Problem: Oklo mine natural reactor. Quantum phenomena Problem: Teleportation Heat Problem: Towing icebergs Thermodynamics Problem: The gas pressure driven car Solids and fluids Problem: Biophysics of Giraffes, Sharks, Fleas, Antelopes, Flies and Trees Condensed matter Problem: Nanobiomarkers Transport properties Problem: UltraKleene Relativity Problem: GPS Astrophysics Problem: How did the Universe grow? Another curriculum!! PBL Problem Physics Topics The White Knuckle Toy Newtonian dynamics, oscillations, damping Crosswind Warning Electrostatics, induction, steady currents, fluids The Art of Glass Geometric and wave optics UltraKleene Kinetic theory, Diffusion Chocolate Factory Alarm Circuits, AC theory Space Tether Newtonian gravity, elasticity Solid State Traffic Lights Semi-conductors, LEDs Desert Pipeline Leak Electromagnetic theory Transporter Quantum theory Air Quality Spectroscopy Interdisciplinary Challenges • Global warming Interdisciplinary Challenges • Biodiversity Interdisciplinary Challenges Sustainability Interdisciplinarity Interdisciplinarity Interdisciplinarity Random Walk (Brownian Motion) Interdisciplinarity