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Earth – a somewhat bigger laboratory for school Physics. Grzegorz Karwasz Andrzej Karbowski Krzysztof Służewski. Zakład Dydaktyki Fizyki, Uniwersytet Mikołaja Kopernika w Toruniu. http://dydaktyka.fizyka.umk.pl. Rationale (I): Polish National Curriculum Base (2007).
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Earth – a somewhat bigger laboratory for school Physics Grzegorz Karwasz Andrzej Karbowski Krzysztof Służewski Zakład Dydaktyki Fizyki, Uniwersytet Mikołaja Kopernika w Toruniu http://dydaktyka.fizyka.umk.pl
XIV: Structure and evolution of Earth • Litosphere • Hydroshere • Atmosphere • (Crysphere) • Biosphere XV: Structure and evolution of Solar System
Didactical/ heurestic goal • Bring together Physics & Geography • Illustrate, possibly experimentally, phenomena • Choose the minimum knowledge requirements • Make the whole package attractive • Didactical theory context: • neo-realism (show as much as you can, • and even more), • hyper- constructivism (make student construct • his/ her knowledge from apparently nothing, • i.e. pre-existing knowledge in his/her mind) G. Karwasz, Problemy Wczesnego Nauczania, 2013 G. Karwasz, GIREP Conference 2012
Case examples: • radioactivity → the age of Earth • two-body mechanics → Earth and Moon • gravity and rotation → shape of Earth • convection and radioactivity → shield tectonics • electromagnetic induction → magnetic field • Coriolis force → general dynamics of atmosphere • Coriolis force → dynamics of oceanic currents • latent heat & convection → tropical storms
Three heurestic functions of an interactive/multimedia object • Child: that’s so funny! • Pupil: that’s so easy! • Scientist: that’s so complex! G. Karwasz, J. Kruk, Idee i realizacje dydaktyki interaktywnej, Wyd. Nauk. UMK, 2012
Radioactive series • In other words: • a starting point 238U • some „bottle necks” • an ending point 206Pb rad - 1600 lat, gaz radon - 3,8 dnia, polon - 3 minuty, ołów - 27 minut (ten rozpada się przez proces β); bizmut - 20 minut; w kolejnym rozpadzie β powstaje ponownie polon, ale inny izotop, żyjący zaledwie 0,16 milisekundy, itd.
What is the age of Earth? Science 321, 1828 (2008);Jonathan O'Neil, et al.Neodymium-142 Evidencefor Hadean Mafic Crust Science 309, 576 (2005);M. Boyet, et al.Silicate Earth142Nd Evidence for Early (>4.53 Ga) Global Differentiation of theSilicate Earth
What is the age of Universe? Planck mission (March 2013): 13.67 bilion yrs
Moon – a companion from (almost) ever http://en.wikipedia.org/wiki/Lunar_eclipse 4.567 bln yrs + ~100 mln yrs ago
„Satelite” = body guard G. Karwasz, M. Więcek, Toruński po-ręcznik. Fizyka współczesna, ZDF UMK 2012
„Satelite” = orbit stabilizer Physics and Toys → destabilisation of Earth’s axis in 100 mln yrs
„Jakiego kształtu jest kula ziemska?”What is the shape of Earth’s ball? Answer: „Geoide” = Earth-like shape Foto: ESA = tautology https://directory.eoportal.org/web/eoportal/satellite-missions/content/-/article/goce
Copernicus: Why water does not flow down from Earth’s ball? Także i wody morskie układają się do postaci kulistej [...] jako ląd i woda wspierają się na jednym środku ciężkości Ziemi, który jest zarazem środkiem jej objętości. Newton: Because of gravity remained: „what is the shape of Earth?”
Newton: Elipsoid because of the centrifugal force
Centrifugal force from textbooks waves of kilometric heights would flush down the globe!
Elipsoid is perpendicular to the effective gravity force „flatness” 1/297
Springs in mountains flow perpendicularly to iso-height lines In physics we call these lines - equi-potential lines: the gravity force is perpendicular to potential lines
Ellipsoid vs. geoid i.e. geometry vs. physics Geoid – constant (gravitational + centrifugal) potential surface
GOCE: equipotential lines https://directory.eoportal.org/web/eoportal/satellite-missions/content/-/article/goce
Earth’s shape: equipotential surface ± 100 m https://directory.eoportal.org/web/eoportal/satellite-missions/content/-/article/goce
Earth’s shape: equipotential surface Geoid is lower than elipsoid in the Himalaya mountains! Potential formula: V=GM/r2 Lower mass → lower r Himalaya are ligth (calcite) rocks
What is the shape of Earth? The one, shown by the lever (libella) and this is perpendicular to the vertical Poziomica, pion
Earth’s shape: horizontal water because water level is always horizontal, like Copernicus said
What is the Earth’s internal structure? S-wave in iron: 3,24 km/s P-wave in iron: 5,95 km/s Sprężyny, stukot
What is the Earth’s structure? crust ↔ litosphere mantello ↔ astenosphere G. Karwasz, J. Chojnacka, Geografia w Szkole, 2012
How old is Europe? M. Grad, T. Tirra, and ESC Working Group, The Moho depth map of the European Plate, Geophys. J. Int. 176 (2009), str. 279.
What is the Earth’s crust? Lampa Lava
Why this vertical movement? • Heat flux: • 238U: 8 TW (1015 W) • 232Th: 8 TW • 40K: 4 TW • cooling: 20 TW • (electricity production: 10 TW) Physics World, March 2013
Quarz, olivine etc. Mg2SiO4 http://webmineral.com/data/Forsterite.shtml#.U6dDmHZcuRM
so, the vertical structure is getting quite complex... Nature09401-f1.2.jpg
„Pangea” Geo-fizyka dla nie-fizyków 300 mln yrs ago Justyna ChojnackaZakład Dydaktyki Fizyki Wydział Fizyki, Astronomii i Informatyki Stosowanej
and the surface structure? some 500 mln yrs ago
Moving continents + 50 mln yrs (?) wosk
Colliding continents (I) John Nábelek, et al.Science 325, 1371 (2009); Foto: J. Karwowski, M. Karwasz, M. Visintainer
Colliding continents (IIa) Westward: Japan Subduction angle: 45º Dwie kartki papieru
Colliding continents (IIb) Eastward: Andes Subduction angle: 15-25º
Colliding continents (III) Subduction of oceanic plates Physics World, no 3. (2012) Ryc. K. Konieczna
IV Continents drifting away Foto M. Karwasz
IVa Continents drifting away Foto M. Karwasz
Earth’s magnetic field Dynamo model
Auto-generated electric super-currents →auto-generated magnetic fields Illustration of the dynamo mechanism that creates the Earth's magnetic field 389371aa.eps.2.gif
so, it is getting quite complex Glatzmaier and Roberts 1995