Problem 1 (10 points) Down into the depths and back up again Two equally large spheres are connected by a long, massless string, as sketched in the figure, and sink downwards in water at a constant speed v. When the string is cut, the upper sphere rises back up at the same constant speed v. The lower sphere is made of aluminium with a density of = 2700 kg . For the density of water you may assume the value = 1000 kg . Determine the density of the upper sphere.
Topic: Fluid Mechanics, Newtonian Mechanics Metodi: Free-Body Diagram, Hydrostatic Equilibrium, Physical Modeling Competenze: Physical Reasoning, Mathematical Modeling Objects: Sphere, String Fonte: Testo (PDF) — p.2
Problema 1 (10 punti) Sotto le profondità e di nuovo indietro Due sfere uguali sono collegate da una lunga stringa massless, come descritto nella figura, e affondano verso il basso in acqua a costante velocità v. Quando la corda è tagliata, la sfera superiore risce di nuovo alla stessa velocità costante v. La sfera inferiore è fatta di alluminio con una densità di = 2700 kg . Per la densità dell’acqua si può assumere il valore = 1000 kg . Determina la densità della sfera superiore.
Topic: Fluid Mechanics, Newtonian Mechanics Metodi: Free-Body Diagram, Hydrostatic Equilibrium, Physical Modeling Competenze: Physical Reasoning, Mathematical Modeling Objects: Sphere, String Fonte: Testo (PDF) — p.2
The following points are added: Down into the depths and back up again Two equally large spheres are connected by a long, massless string, as sketched in the figure, and sink downwards in water at a constant speed v. When the string is cut, the upper sphere rises back up at the same constant speed v. The lower sphere is made of aluminium with a density of = 2700 kg . For the density of water you may assume the value = 1000 kg . Determine the density of the upper sphere.
Topic: Fluid Mechanics, Newtonian Mechanics Metodi: Free-Body Diagram, Hydrostatic Equilibrium, Physical Modeling Competenze: Physical Reasoning, Mathematical Modeling Objects: Sphere, String Fonte: Testo (PDF) — p.2
Problem 2 (10 points) Hot little lamps In the circuit shown, two identical incandescent lamps are connected to a voltage source of voltage U = 6.0 V via an ohmic resistor of magnitude R = 8.2 . As electrical components, incandescent lamps do not behave like ohmic resistors. When current flows through a lamp, it heats up and changes its electrical resistance. For the lamps used, the table gives the current IL flowing through a lamp for various voltages UL dropped across the lamp. UL / V 0.17 0.67 1.18 1.66 2.33 3.05 3.85 4.73 5.37 6.00 IL / mA 83 132 175 208 251 290 329 368 395 420 2.a) Determine the current I flowing through the resistor when the switch is open. 2.b) Determine how large the voltage of the battery must be so that, even with the switch closed, a current of the same magnitude I flows through the resistor.
Topic: Circuits Metodi: Kirchhoff’s Laws, Experimental Data Analysis, Physical Modeling Competenze: Graph Linearization, Experimental Data Analysis, Physical Reasoning Objects: Resistor, Battery, Switch Fonte: Testo (PDF) — p.2
Problema 2 (10 punti) Hot little lampe In the circuit shown, two identical incandescent lamps are connected to a voltage source of voltage U = 6.0 V via an ohmic resistor of magnitude R = 8.2 . Come componenti elettrici, le lampade incandescenti non comportano resistori ohmici. Quando il corrente scorre una lampada, si riscalda e cambia la resistenza elettrica. Per il lampe usate, the table gives the current IL flowing through a lamp for various voltages UL E’ stato scattato attraverso la lampada. UL / V 0.17 0.67 1.18 1.66 2.33 3.05 3.85 4.73 5.37 6.00 IL / mA 83 132 175 208 251 290 329 368 395 420 2.a) Determina la corrente che fluisce attraverso il resistore quando il switch è aperto. 2.b) Determina come grande sia la voltage della batteria in modo che, anche con il switch chiuso, un corrente della stessa magnitudo I fluisce attraverso la resistenza.
Topic: Circuits Metodi: Kirchhoff’s Laws, Experimental Data Analysis, Physical Modeling Competenze: Graph Linearization, Experimental Data Analysis, Physical Reasoning Objects: Resistor, Battery, Switch Fonte: Testo (PDF) — p.2
Problem 2 (10 points) Hot little lamps In the circuit shown, two identical incandescent lamps are connected to a voltage source of voltage U = 6.0 V via an ohmic resistor of magnitude R = 8.2 . As electrical components, incandescent lamps do not behave like ohmic resistors. When current flows through A lamp, it heats up and changes its electrical resistance. For the lamps used, the table gives the current IL flowing through a lamp for various voltages UL dropped across the lamp. UL / V 0.17 0.67 1.18 1.66 2.33 3.05 3.85 4.73 5.37 6.00 IL / mA 83 132 175 208 251 290 329 368 395 420 2. (a) Determine the current I flowing through the resistor when the switch is open. 2.b) Determine how large the voltage of the battery must be so that, even with the switch closed, a Current of the same magnitude I flows through the resistor.
Topic: Circuits Metodi: Kirchhoff’s Laws, Experimental Data Analysis, Physical Modeling Competenze: Graph Linearization, Experimental Data Analysis, Physical Reasoning Objects: Resistor, Battery, Switch Fonte: Testo (PDF) — p.2
Problem 3 (10 points) Helicopter on Mars On 19 April 2021, a human-developed aircraft took off on Mars for the first time. The Ingenuity helicopter has since completed numerous flights in the Martian atmosphere. The two counter-rotating rotors of the aircraft have a diameter of 1.2 m and the total mass of the helicopter is about 1.8 kg. During the development of Ingenuity on Earth, the conditions in the Martian atmosphere had to be taken into account. On Earth, whose atmosphere near the ground has a density of 1.2 kg , the helicopter took off at 500 rotor revolutions per minute. The density of the Martian atmosphere near the ground, by contrast, is only about 0.020 kg . Mars has a diameter of about 6.8 103 km and a mass of approximately 6.4 1023 kg Using the given data, determine the gravitational acceleration on Mars. Estimate how many revolutions per minute the rotors of Ingenuity must turn on Mars at minimum for the helicopter to take off. Ingenuity in flight on Mars (photo: NASA). Best to hang the problems directly by the poster! Switch Lamp U + R Lamp Problems and further materials for download
Topic: Gravitation, Fluid Mechanics, Newtonian Mechanics Metodi: Newton’s Law of Gravitation, Physical Modeling, Order-of-Magnitude Estimation Competenze: Estimation & Approximation, Physical Reasoning, Mathematical Modeling Objects: Planet Fonte: Testo (PDF) — p.2
Problema 3 (10 punti) Elicottero su Marte Il 19 aprile 2021, un aereo sviluppato da esseri umani decollò su Marte per la prima volta. Il Ingenuity Helicopter ha completato numerosi voli nell’atmosfera marziana. Il due rotori di contro-rotante dell’aeromobile hanno un diametro di 1,2 m e il Il peso totale dell’elicottero è di circa 1,8 kg. Durante lo sviluppo di Ingenuity on Earth, le condizioni nell’atmosfera marziana dovevano essere prese in considerazione. Su Terra, la cui atmosfera vicino al suolo ha una densità di 1.2 kg , the helicopter took off at 500 rotor revolutions per minute. La densità of the Martian atmosphere near the ground, by contrast, is only about 0.020 kg . Marte ha un diametro di circa 6,8 103 km e una massa di circa 6,4 1023 kg Usando i dati forniti, si determina l’accelerazione gravitazionale su Marte. Estimati Quante rivoluzioni al minuto devono essere i rotori di Ingenuity su Marte al minimo per il decollo dell’elicottero. Ingenuità in volo su Marte (foto: NASA). Best to hang i problemi direttamente da Il poster! Scendi Lampada U + R Lampada Problemi e altri materiali per download
Topic: Gravitation, Fluid Mechanics, Newtonian Mechanics Metodi: Newton’s Law of Gravitation, Physical Modeling, Order-of-Magnitude Estimation Competenze: Estimation & Approximation, Physical Reasoning, Mathematical Modeling Objects: Planet Fonte: Testo (PDF) — p.2
Problem 3 (10 points) Helicopter on Mars On April 19, 2021, a human-developed aircraft took off on Mars for the first time. The Ingenuity helicopter has since completed numerous flights in the Martian atmosphere. The Two counter-rotating rotors of the aircraft have a diameter of 1.2 m and the The total mass of the helicopter is about 1.8 kg. During the development of Ingenuity on Earth, the conditions in the Martian atmosphere had to be taken into account. On Earth, whose atmosphere near the ground has a density of 1.2 kg , the helicopter took off at 500 rotor revolutions per minute. The density of the Martian atmosphere near the ground, by contrast, is only about 0.020 kg . Mars has a diameter of about 6,8 103 km and a mass of approximately 6,4 1023 kg Using the given data, determine the gravitational acceleration on Mars. Estimates How many revolutions per minute do the rotors of Ingenuity have to turn on Mars at least for the helicopter to take off? Ingenuity in flight on Mars (photo: NASA) Best to hang The problems directly by The poster! Switch Lamp U + R Lamp Problems and further materials for download
Topic: Gravitation, Fluid Mechanics, Newtonian Mechanics Metodi: Newton’s Law of Gravitation, Physical Modeling, Order-of-Magnitude Estimation Competenze: Estimation & Approximation, Physical Reasoning, Mathematical Modeling Objects: Planet Fonte: Testo (PDF) — p.2
Problem 4 (10 points) Helmholtz resonator If you blow across the neck of a glass bottle, you can, depending on your experimental skill, coax a relatively clear tone from the bottle. This arises from oscillations of the air in the bottle neck. The frequency f of this oscillation depends on the volume of air below the bottle neck in the wide part of the bottle, and for not-too-small volumes is given approximately by Here cS denotes the speed of sound, A the cross-sectional area of the bottle neck, and V the volume of air in the bottle excluding the neck. Furthermore, ̃L corresponds to the corrected length of the bottle neck, which accounts for the fact that the air pressure at the upper edge of the bottle neck does not immediately fall to the external air pressure. You may assume that ̃L 4 d, where L denotes the length of the bottle neck and d its inner diameter. In this experiment you are to investigate the frequency of the resulting tone as a function of the air volume present in the bottle. For this you need a cylindrical glass bottle with a neck that is as straight as possible (e.g. from a soft drink or wine), a kitchen scale or a measuring jug that is as accurate as possible, water, and a ruler. To determine the frequency of the resulting tone you can, for example, use the “Audio Autocorrelation” function of the phyphox app, which displays the frequency of a tone directly. The given formula allows the speed of sound to be calculated for each value pair of frequency and volume. However, in order to detect systematic deviations better and to keep individual values with large errors from carrying too much weight, it is advisable to linearise the given relationship between the frequency f and the volume V and to evaluate it graphically. 4.a) Rearrange the given formulas so that a linear relationship arises between a function of the frequency f and a function of the volume V, which yields a straight line when plotted graphically. Explain how you can determine the speed of sound cS with the help of the straight line. 4.b) Take a series of measurements and produce a suitable graph from them. Use this to determine the speed of sound in air at room temperature. In doing so, describe how you proceeded, and estimate the uncertainty of your result. Finally, compare the speed of sound you determined with a literature value. Junior problem (10 points) A good idea The first and often most important step in solving problems is a good idea. The following two problems can be solved very quickly with the right idea in each case. 5.a) The circuit shown consists of identical voltage sources, each with a voltage of U = 1.5 V, and identical resistors with resistance value R = 100 .
Determine the current I flowing through the lower left resistor. 5.b) Two athletes ride their tandem in serpentine lines. The to-scale figure shows the track of the rear wheel of the tandem. The distance between the centres of the rear and front wheels is 2.0 m.
Construct in the figure the track of the front tyre of the tandem, given that the tyres roll without slipping. R U + I m 0 1 2 3 4 5 You can also find the figures for the problems on the IPhO website. Register now at www.ipho.info www.ipho.info for the competition! scienceolympiaden.de Show your talent! Students If you are a student, the IPhO and the PhysicsOlympiad in Germany offer you diverse opportunities to engage intensively with physics questions, to experience physics as an exciting scientific discipline, to test your own limits, and not least to meet interesting people. For the competition rounds there are learning materials and training problems that help you deepen your knowledge and problem-solving skills. At the seminars you meet many other young people enthusiastic about physics. Taking part is therefore worthwhile in any case, regardless of whether you make it to the higher rounds. What matters is to be there. Successfully completing the first round is already a special achievement and a real distinction. So, take heart! Teachers As a teacher, you can offer a challenge in physics to particularly capable or interested students with the problems of the PhysicsOlympiad and encourage them to engage more deeply with physics topics. The PhysicsOlympiad can thus serve as an instrument of individual support. The problems of the 1st round in particular are suitable not only for the best in a class.
With a wide range of offerings, the PhysicsOlympiad aims to reach interested young people broadly and to inspire them lastingly for the natural sciences. To this end there are support offerings such as the Orpheus seminars and the accompanying materials for the 1st round, with which we want to support you in introducing topics of the PhysicsOlympiad. So please encourage your students to take part; for only those who do not take part can lose. Schools By encouraging participation in competitions, schools can sharpen their profile and use them, in the sense of enrichment, as a complement to school offerings. Competitions provide diverse, differentiated learning environments for participating students. In the area of STEM subjects, the Olympiads, at least in the later rounds, represent a competition aimed at particularly motivated and high-performing young people. Nevertheless, participation is not only worthwhile even in the entry rounds, but can also contribute to a lasting enthusiasm for STEM topics. Offerings such as the Orpheus seminars allow the support of a large number of participants. In many federal states, participation can incidentally be recognised as a special academic achievement or subject/seminar paper of your students for the Abitur. Interested in more than physics? The IPhO is one of the six nationwide scientific student competitions organised by the IPN – the ScienceOlympiads. In addition to the selection competitions for the international Olympiads in Biology (IBO), Chemistry (IChO) and Physics (IPhO), they also include the International JuniorScience Olympiad (IJSO), the European Olympiad of Experimental Science (EOES), and the Federal Environmental Competition (BUW). Together they address students from the beginning of secondary school until after the end of school, and, through close networking, offer the possibility of lasting support of scientific abilities and interests. Further information at: www.scienceolympiaden.de Many good reasons to take part in the PhysicsOlympiad Dear students, dear parents and teachers, the world is changing. And there is so much to do. We must make progress on climate protection, use digitalisation wisely, achieve advances in medicine. I am sure: we will manage it. And why am I sure: because we have science and research. They create the foundations for new things, for innovations, for answers to the questions of our time, so that we can lead a good, self-determined and healthy life. What matters is that we activate all our creative and intellectual reserves for this, and above all also inspire young people early on for the natural sciences, for maths and computer science. That they ask themselves: How do I want to live one day? And: What is my talent? What can I contribute? For Germany is a country of science that has often proven how adaptable it is when it comes down to it. We h
Topic: Oscillations & Waves Metodi: Wave Equation, Simple Harmonic Motion Analysis, Experimental Data Analysis Competenze: Graph Linearization, Experimental Data Analysis, Estimation & Approximation Objects: Container Fonte: Testo (PDF) — p.3
Problema 4 (10 punti) Risonatore di Helmholtz Se si soffia attraverso il collo di una bottiglia di vetro, si può, a seconda della vostra abilità sperimentale, coax un relativamente
- Tono chiaro dalla bottiglia. Questo deriva da oscillazioni dell’aria nel collo della bottiglia. La frequenza f di questa oscillazione dipende dal volume di aria sotto il collo della bottiglia nella parte larga della bottiglia, e per i volumi non troppo piccoli è given approximately by Qui cS indica la velocità del suono, A l’area cross-sectional del collo della bottiglia, e V il volume di aria nella bottiglia escludendo il collo. Inoltre, ‘L corrisponde alla corretta lunghezza del bottle neck, che rappresenta il fatto che il bottle neck è stato che la pressione dell’aria all’orlo superiore del collo della bottiglia non scenda immediatamente alla pressione dell’aria esterna. Potresti pensare che che ̃L 4 d, dove L indica la lunghezza del collo della bottiglia e il suo diametro interno. In questo esperimento, si deve indagare la frequenza del tono risultante in funzione del volume d’aria presente nel flacone. Per questo ti serve una bottiglia di vetro cilindrica con un collo che sia il più dritto possibile (es. da una bevanda O vino), una scala di cucina o un vassoio di misurazione che sia il più accurato possibile, acqua, e un regolare. Per determinare il Frequency of the resulting tone (frequency of the resulting tone) puoi, per esempio, utilizzare la funzione “Audio autocorrelation” dell’app phyphox, che visualizza il Frequenza di un tono direttamente. La formula data consente di calcolare la velocità del suono per ogni valore di frequenza e volume. Tuttavia, per rilevare meglio le deviazioni sistematiche e mantenere i valori individuali con grandi errori dal portare troppo peso, è consigliabile lineare la relazione data tra la frequenza f e il volume V e valutarla graficamente.
- (a) Riorganizzare le formule così che si verifichi una relazione lineare tra una funzione della frequenza f e una funzione del volume V, che produce una linea retta quando tracciata graficamente. Spiegate come determinare la velocità del suono cs con l’aiuto della linea dritta. 4.b) Prendi una serie di misure e produce un grafico adatto da esse. Usate questo per determinare la velocità del suono in aria a temperatura ambiente. In tal modo, descrivi come hai proceduto, e stima l’incertezza del tuo risultato. Finalmente, compare la velocità di suono determinata con un valore letterario. Problema minore (10 punti)
- Un’idea buona . Il primo e spesso più importante passo nella soluzione dei problemi è una buona idea. Il seguente Due problemi possono essere risolti molto rapidamente con l’idea giusta in ogni caso.
- (a) Il circuito mostrato è costituito da fonti di voltage identiche, ciascuna con una voltage di U = 1,5 V, and identical resistors with resistance value R = 100 .
Determina la corrente che scorre attraverso il resistore inferiore sinistro. 5.b) Due atleti che si svolgono in tandem in linee serpentine. La figura a scala to mostra il tracciato della ruota posteriore del tandem. La distanza tra i centri di Le ruote posteriori e posteriori sono di 2 metri.
Construct in the figure the track of the front tyre of the tandem, given that the tyres roll senza scivolare. R U + I m 0 1 2 3 4 5 È possibile trovare anche le cifre per i problemi sul sito IPhO. Registrare ora a www.ipho.info www.ipho.info per il La concorrenza! sciencesolymppiaden.de Mostra il tuo talento! Studenti Se sei uno studente, l’IPhO e la PhysicsOlympic in La Germania offre diverse opportunità a impegnarsi intensamente con le domande di fisica, a sperimentare la fisica Come una disciplina scientifica eccitante, per testare i vostri limiti, e non ultimo per incontrare persone interessanti. Per i round di competizione ci sono materiali di apprendimento e problemi di formazione che aiutarti a approfondire le tue conoscenze e le tue capacità di risoluzione dei problemi. Al seminario incontrerai molti altri giovani entusiasti di fisica. In ogni caso, è quindi utile prendere parte. Indipendentemente dal fatto che tu lo faccia
- Rondate superiori. Cosa importa
- E’ di essere lì. Completare con successo Il primo round è già un risultato speciale e una vera distinzione. Allora, prendi il cuore! Docenti Come insegnante, puoi offrire una sfida in fisica • studiare con studenti particolarmente capaci o interessati le problematiche del PhysicsOlympiad e incoraggiarli a impegnarsi più profondamente con fisica
- I temi. Il PhysicsOlympiad può In questo modo servono come strumento di sostegno individuale. I problemi del 1° Le misure di sicurezza e di sicurezza sono particolarmente adatte non solo per il settore
- Il migliore di una classe.
Con una vasta gamma di offerte, il PhysicsOlympiad mira a raggiungere i giovani interessati di diffusione e di ispirazione duratura per Le scienze naturali. A questo fine ci sono offerte di supporto come i seminari di Orpheus e i materiali che accompagneranno il primo round, con cui vogliamo supportarti nell’introduzione
- E’ un’occasione per i nostri studenti. Quindi, per favore, incoraggi i tuoi studenti per partecipare; solo coloro che non partecipano possono perdere. Scuole Incoraggiando la partecipazione a competizioni, le scuole Can sharpen their profile e usarli, nel senso dell’enrichimento, come complemento alla scuola offerte. Competitions provide ambienti di apprendimento diversificati per gli studenti partecipanti. In questo settore, la Le Olimpiadi, almeno in seguito La Commissione ha inoltre adottato una proposta di direttiva che prevede che le parti sociali, quali le parti sociali, le parti sociali e le parti sociali, siano Giovani ad alto rendimento. Tuttavia, la partecipazione non è solo utile anche nei round di entrata, ma può anche contribuire a L’entusiasmo per i temi STEM è duraturo. Offerte come i seminari di Orpheus consent the support of a Numero di partecipanti. In molti stati federali, la partecipazione può essere riconosciuta come un’academic achievement speciale o un’attività di formazione professionale. Paper di tema/seminar dei vostri studenti per l’abitur. Interessato più della fisica? L’IPhO è uno dei sei a livello nazionale scientific student competitions organised by the IPN
- Le ScienceOlympics. In aggiunta alla le selection competitions for the international Olympiads in Biology (IBO), La ricerca e la ricerca sono stati sviluppati in un campo di ricerca e di ricerca. La ricerca internazionale JuniorScience Il programma di formazione professionale (IJSO), l’Olimpiade europea Il programma di ricerca è stato sviluppato in un’area di ricerca e di ricerca. Federal Environmental Competition (BUW). Insieme si rivolge agli studenti dal principio di scuola secondaria fino a dopo la fine di scuola, e, attraverso una rete stretta, offrono la possibilità di sostenere duratamente le capacità e gli interessi scientifici. Informazioni aggiuntive: www.scienceolympiaden.de Molti buoni motivi per partecipare al PhysicsOlympiad Cari studenti, Cari genitori e insegnanti, Il mondo sta cambiando. E c’è tanto da fare. Dobbiamo fare progressi Protezione climatica, utilizza la digitalizzazione con saggezza, raggiungi progressi nella medicina. Sono sicuro che riusciremo a farcela. E Perché sono sicuro: perché abbiamo scienza e ricerca. - Sono Creare le basi per nuove cose, per innovazioni, per risposte per le questioni del nostro tempo, in modo che possiamo condurre una buona, autodeterminata e
- La vita sana. Ciò che conta è che accettiamo tutte le nostre riserve creative e intellettuali per questo, e soprattutto ispirare i giovani all’inizio per Le scienze naturali, per le matematiche e le scienze informatiche. Che essi Chiediti: “Come voglio vivere un giorno?” E: “Qual è il mio talento?” Cosa Posso contribuire? Per la Germania è un paese di scienza che ha spesso dimostrato quanto sia adattabile quando
- Si tratta di un’idea. We h
Topic: Oscillations & Waves Metodi: Wave Equation, Simple Harmonic Motion Analysis, Experimental Data Analysis Competenze: Graph Linearization, Experimental Data Analysis, Estimation & Approximation Objects: Container Fonte: Testo (PDF) — p.3
Problem 4 (10 points) The following is the list of the components used: If you blow across the neck of a glass bottle, you can, depending on your experimental skill, coax a relatively Clear tone from the bottle. This arises from oscillations of the air in the bottle neck. The frequency f of this oscillation depends on the volume of air below the bottle neck in the wide part of the bottle, and for not-too-small volumes is given approximately by Here cS denotes the speed of sound, A the cross-sectional area of the bottle neck, and V the volume of air in the bottle excluding the neck. Furthermore, ̃L corresponds to the corrected length of the bottle neck, which accounts for the fact that the bottle neck is the same as the bottle neck. The pressure of the air at the upper edge of the bottle neck does not immediately fall to the external air pressure. You may assume that ̃L 4 d, where L denotes the length of the bottle neck and d its inner diameter. In this experiment you are to investigate the frequency of the resulting tone as a function of the air volume present in the bottle. For this you need a cylindrical glass bottle with a neck that is as straight as possible (e.g. from a soft drink or wine), a kitchen scale or a measuring jug that is as accurate as possible, water, and a ruler. To determine the You can, for example, use the “Audio Autocorrelation” function of the phyphox app, which displays the frequency of a tone directly. The given formula allows the speed of sound to be calculated for each value pair of frequency and volume. However, in order to detect systematic deviations better and to keep individual values with large errors from carrying too much weight, it is advisable to linearise the given relationship between the frequency f and the volume V and to evaluate it graphically. 4.a) Rearrange the given formulas so that a linear relationship arises between a function of the frequency f and a function of the volume V, which yields a straight line when plotted graphically. Explain how you can determine the speed of sound cs with the help of the straight line. 4.b) Take a series of measurements and produce a suitable graph from them. Use this to determine the speed of sound in air at room temperature. In doing so, describe how you proceeded, and estimate the uncertainty of your result. Finally, compare the speed of sound you determined with a literary value. The first is the ‘Junior Problem’ (10 points). It ‘s a good idea . The first and often most important step in solving problems is a good idea. The following Two problems can be solved very quickly with the right idea in each case. 5. (a) The circuit shown consists of identical voltage sources, each with a voltage of U = 1.5 V, and identical resistors with resistance value R = 100 .
Determine the current I flowing through the lower left resistor. 5. (b) Two athletes ride their tandem in serpentine lines. The to-scale figure shows the track of the rear wheel of the tandem. The distance between the centres of The rear and front wheels are 2.0 m.
Construct in the figure the track of the front tyre of the tandem, given that the tyres roll without slipping. R U + I m 0 1 2 3 4 5 You can also find the figures for the problems on the IPhO website. Register now at The Commission has also adopted a proposal for a regulation on the protection of the environment. The Commission has also adopted a proposal for a regulation on the protection of the environment. for the Competition! The European Commission has also adopted a proposal for a directive on the protection of the environment. Show your talent! The students If you are a student, the IPhO and the PhysicsOlympic in Germany offers you various opportunities to engage intensively with physics questions, to experience physics As an exciting scientific discipline, to test your own limits, And not least to meet interesting people. For the competition rounds there are learning materials and training problems that help you deepen your knowledge and problem-solving skills. At the seminars You meet many other young people who are enthusiastic about physics. Taking part is therefore worthwhile in any case, Regardless of whether you make it to the higher rounds. What matters is to be there. Successfully completing The first round is already a special achievement and a real distinction. So, take heart! Teachers As a teacher, you can offer a challenge in physics to particularly capable or interested students with the The problem of the PhysicsOlympiad and encourage them to engage more deeply with physics The Commission’s proposal for a directive on the protection of workers’ rights The PhysicsOlympiad can This is a tool for individual support. The problems of the 1st The following are the main reasons for the Best in a class.
With a wide range of offerings, the PhysicsOlympiad aims to reach interested young people broadly and to inspire them lastingly for The natural sciences. To this end there are Support offerings such as the Orpheus seminars and the accompanying materials for the 1st round, with which we want to support you in introducing The first is the topic of the PhysicsOlympic. So please encourage your students To take part; for only those who do not take part can lose. Schools By encouraging participation in competitions, schools Can sharpen their profile and use them, in the sense of enrichment, as a complement to school The Commission will take the necessary measures to ensure that the Commission is able to take all necessary measures. Competitions provide The aim is to create a diverse and differentiated learning environment for participating students. In the area of STEM subjects, the The Olympic Games, at least in the later The main objective of the competition is to promote the development of a new approach to the high-performing young people. However, participation is not only worthwhile even in the entry rounds, but can also contribute to a I’m very excited about STEM. Offerings such as the Orpheus seminars allow the support of a large number of participants. In many federal states, participation can incidentally be recognized as a special academic achievement or subject/seminar paper of your students for the graduation. Interested in more than physics? The IPhO is one of six nationwide Scientific student competitions organised by the IPN The science olympics. In addition to the selection competitions for the international Olympiads in Biology (IBO), Chemistry (IChO) and Physics (IPhO), they also include The International JuniorScience The European Olympic Games (OICs), the European Olympic Games and the The European Commission has also launched a programme of research on the The Federal Environmental Competition (BUW). Together they address students From the beginning of secondary school until after the end The aim is to improve the quality of education and, through close networking, offer the possibility of The Commission shall take the necessary measures to ensure that the scientific activities of the Member States are carried out in accordance with the principles laid down in this Regulation. Further information at: The European Commission has also adopted a proposal for a directive on the protection of workers’ rights. Many good reasons to take part in the PhysicsOlympiad Dear students, Dear parents and teachers, The world is changing. And there’s so much to do. We must make progress on The European Commission has also launched a programme for the promotion of the environment and the environment. I’m sure we’ll manage it. And then Why am I sure: because we have science and research. They create the foundations for new things, for innovations, for answers To the questions of our time, so that we can lead a good, self-determined and The health of the environment. What matters is that we activate all our creative and intellectual reserves for this, and above all, also inspire young people early on for this. The Natural Sciences, for math and computer science. That they Ask yourself, “How do I want to live one day?” And what is my talent? What Can I contribute? For Germany is a country of science that has often proven how adaptable it is when it comes down to it. We h
Topic: Oscillations & Waves Metodi: Wave Equation, Simple Harmonic Motion Analysis, Experimental Data Analysis Competenze: Graph Linearization, Experimental Data Analysis, Estimation & Approximation Objects: Container Fonte: Testo (PDF) — p.3