OII 2018 Nazionale Teorica

P1 Cuneo 1 Forza del cuneo su un pistone Fc = Fc = [Espressione] [Valore numerico] 2 Compressione delle molle, abbassamento del cuneo $\text{Deltax}$ = $\text{Deltax}$ = yc = yc = [Espressione] [Valore numerico] 3 Forze al rilascio sul pistone. Cuneo: Fc; Molla: Fm; Guida: Fg Fc = Fc = Fm = Fm = Fg = Fg = [Espressione] [Valore numerico] 4 Oscillazioni del cuneo A = A = T = T = vmax = vmax = [Espressione] [Valore numerico] OLIMPIADI DI FISICA – Gara Nazionale Teorica: 13.04.2018 Codice Studente: TEO

Topic: Newtonian Mechanics, Oscillations & Waves Metodi: Free-Body Diagram, Vector Decomposition, Hooke’s Law, Simple Harmonic Motion Analysis Competenze: Diagrammatic Reasoning, Mathematical Modeling, Physical Reasoning Objects: Wedge, Piston, Spring Fonte: Testo (PDF) — p.1 Soluzione: Soluzioni (PDF)

P1 Cuneo 1 The force of the cune on a piston Fc = Fc = [Expression] [Number value] 2 Compression of the springs, lowering of the conifer $\text{Deltax}$ = $\text{Deltax}$ = yc = yc = [Expression] [Number value] 3 Piston release forces. The following is the list of the types of vehicles used: Fc = Fc = Fm = Fm = Fg = Fg = [Expression] [Number value] 4 The following conditions shall apply: A = A = T = T = Vmax = Vmax = [Expression] [Number value] Theoretical national competition: 13.04.2018 The following is the list of the countries of the European Union:

Topic: Newtonian Mechanics, Oscillations & Waves Metodi: Free-Body Diagram, Vector Decomposition, Hooke’s Law, Simple Harmonic Motion Analysis Competenze: Diagrammatic Reasoning, Mathematical Modeling, Physical Reasoning Objects: Wedge, Piston, Spring Fonte: Testo (PDF) — p.1 Soluzione: Soluzioni (PDF)

P2 Trasformazione termodinamica 1 Pressione pC pC = 2 Rendimento del ciclo in funzione di k $\eta$ = 3 Particolare valore di k k = 4 Entropia Smin in Smax in $\text{DeltaS}$ = OLIMPIADI DI FISICA – Gara Nazionale Teorica: 13.04.2018 Codice Studente: TEO

Topic: Thermodynamics Metodi: First Law of Thermodynamics, Thermodynamic Cycle Analysis, Ideal Gas Law Competenze: Mathematical Modeling, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.2 Soluzione: Soluzioni (PDF)

P2 Thermodynamic transformation 1 Pressure of the pC pC = 2 Cycle yield by k $\eta$ = 3 The specific value of k k = 4 The entropy Smin in Smax in $\text{DeltaS}$ = Theoretical national competition: 13.04.2018 The following is the list of the countries of the European Union:

Topic: Thermodynamics Metodi: First Law of Thermodynamics, Thermodynamic Cycle Analysis, Ideal Gas Law Competenze: Mathematical Modeling, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.2 Soluzione: Soluzioni (PDF)

P3 Allargamento Doppler 1 Valore q.m. della vx vx,qm = vx,qm = [Espressione] [Valore numerico] 2 Distribuzione di vx uniforme (mod. semplificato) hu = 3 Ampiezza dell’intervallo in vx (mod. semplificato) $\text{Deltavx}$ = $\text{Deltavx}$ = [Espressione] [Valore numerico] 4 Ampiezza dell’intervallo in lambda (mod. semplificato) $\Delta \lambda$ = $\Delta \lambda$ = [Espressione] [Valore numerico] 5 Funzione di distribuzione della radiazione $I(\lambda$) = 6 Ampiezza dell’intervallo in lambda $\Delta {\lambda }^{\prime }$ = $\Delta {\lambda }^{\prime }$ = [Espressione] [Valore numerico] OLIMPIADI DI FISICA – Gara Nazionale Teorica: 13.04.2018 Codice Studente: TEO

Topic: Kinetic Theory, Oscillations & Waves, Special Relativity Metodi: Kinetic Theory of Gases, Statistical Averaging, Approximation & Series Expansion Competenze: Mathematical Modeling, Physical Reasoning, Estimation & Approximation Objects: Gas Fonte: Testo (PDF) — p.3 Soluzione: Soluzioni (PDF)

P3 Doppler expansion 1 The value of the product shall be the value of the product. of vx vx,qm = vx,qm = [Expression] [Number value] 2 The distribution of vx uniformly (mod. (simplified) hu = 3 The width of the range in vx (mod. (simplified) $\text{Deltavx}$ = $\text{Deltavx}$ = [Expression] [Number value] 4 The length of the interval in lambda (mod. (simplified) $\Delta \lambda$ = $\Delta \lambda$ = [Expression] [Number value] 5 Function of radiation distribution $I(\lambda$) = 6 Length of the interval in lambda $\Delta {\lambda }^{\prime }$ = $\Delta {\lambda }^{\prime }$ = [Expression] [Number value] Theoretical national competition: 13.04.2018 The following is the list of the countries of the European Union:

Topic: Kinetic Theory, Oscillations & Waves, Special Relativity Metodi: Kinetic Theory of Gases, Statistical Averaging, Approximation & Series Expansion Competenze: Mathematical Modeling, Physical Reasoning, Estimation & Approximation Objects: Gas Fonte: Testo (PDF) — p.3 Soluzione: Soluzioni (PDF)

P4 Spira triangolare 1 Corrente indotta con spira guidata i(t) = 2 Lavoro della forza applicata L = 3 Effetto Joule UJ = 4 Velocità della spira non negativa 5 Verifica dell’equazione di moto (secondo principio della dinamica) 6 Velocità iniziale critica ed effetto Joule v0 UJ =

Topic: Electromagnetic Induction, Conservation of Energy, Newtonian Mechanics Metodi: Faraday’s Law of Induction, Lenz’s Law, Energy Conservation Method, Free-Body Diagram Competenze: Diagrammatic Reasoning, Mathematical Modeling, Physical Reasoning Objects: Coil Fonte: Testo (PDF) — p.4 Soluzione: Soluzioni (PDF)

P4 Triangular spindle 1 Induced current with guided spiral i(t) = 2 Work of the applied force L = 3 Joule effect UJ = 4 The speed of the non-negative spindle 5 Verification of the equation of motion (according to the principle of dynamics) 6 Critical initial speed and Joule effect v0 UJ =

Topic: Electromagnetic Induction, Conservation of Energy, Newtonian Mechanics Metodi: Faraday’s Law of Induction, Lenz’s Law, Energy Conservation Method, Free-Body Diagram Competenze: Diagrammatic Reasoning, Mathematical Modeling, Physical Reasoning Objects: Coil Fonte: Testo (PDF) — p.4 Soluzione: Soluzioni (PDF)