OII 2011 1° Livello

Un computer portatile esegue circa 30 milioni di somme al secondo.

Qual è l’ordine di grandezza delle somme che il computer riesce a fare nel tempo che tu hai a disposizione per rispondere al questionario?

• A. $10^9$
• B. $10^{11}$
• C. $10^{13}$
• D. $10^{15}$
• E. $10^{17}$ Topic: Order-of-Magnitude Estimation Metodi: Order-of-Magnitude Estimation, Dimensional Analysis Competenze: Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

A laptop runs about 30 million dollars a second.

What is the order of magnitude of the amounts that the computer can make in the time you have to answer the questionnaire?

• A. $10^9$
• B. $10^{11}$
• C. $10^{13}$
• D. $10^{15}$
• E. $10^{17}$ Topic: Order-of-Magnitude Estimation Metodi: Order-of-Magnitude Estimation, Dimensional Analysis Competenze: Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Due carrelli si muovono lungo una retta e si urtano. I dati relativi sono rappresentati nella figura (in alto). Dopo la collisione i due carrelli si muovono come si vede nella parte in basso della figura.

Qual è il modulo della velocità $v$ del carrello da 2 kg dopo l’urto?

• A. $1.25{\text{ m s}}^{-1}$
• B. $1.75{\text{ m s}}^{-1}$
• C. $2.0{\text{ m s}}^{-1}$
• D. $4.0{\text{ m s}}^{-1}$
• E. $5.0{\text{ m s}}^{-1}$

Before/after collision, two carts

Topic: Conservation of Momentum, Newtonian Mechanics Metodi: Conservation of Momentum, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: Cart Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Two wagons move along a straight line and collide. The data are shown in the figure (top). After the collision, the two cars move as shown in the figure below.

What is the speed $v$ of the 2 kg cart after impact?

• A. $1.25{\text{ m s}}^{-1}$
• B. $1.75{\text{ m s}}^{-1}$
• C. $2.0{\text{ m s}}^{-1}$
• D. $4.0{\text{ m s}}^{-1}$
• E. $5.0{\text{ m s}}^{-1}$

Before/after collision, two carts

Topic: Conservation of Momentum, Newtonian Mechanics Metodi: Conservation of Momentum, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: Cart Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the ‘Settlement of the European Union’s financial instruments.

Un oggetto si trova ad una distanza $p=10\text{ cm}$ da una lente convergente di focale $f=30\text{ cm}$.

Trovare a che distanza dall’oggetto si forma l’immagine.

• A. 5 cm
• B. 10 cm
• C. 15 cm
• D. 20 cm
• E. 25 cm Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation Competenze: Mathematical Modeling, Physical Reasoning Objects: Lens Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

An object is located $p=10\text{ cm}$ from a convergent lens of focal length $f=30\text{ cm}$.

Find out how far away from the object the image is formed.

• A. 5 cm
• B. 10 cm
• C. 15 cm
• D. 20 cm
• E. 25 cm Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation Competenze: Mathematical Modeling, Physical Reasoning Objects: Lens Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the protection of the environment.

Il diagramma rappresenta l’andamento velocità-tempo di cinque automobili diverse, A, B, C, D ed E.

Qual è l’automobile che ha l’accelerazione più grande in modulo, nell’intervallo di tempo che va da 10 s a 15 s?

• A. A
• B. B
• C. C
• D. D
• E. E

Velocity-time graph for five cars

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

The diagram represents the speed-time trend of five different cars, A, B, C, D and E.

What is the car with the highest acceleration in the model, in the time interval from 10 seconds to 15 seconds?

• A. A
• B. B
• C. C
• D. D
• E. E

The speed-time graph for five cars

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the protection of the environment.

Un palloncino, dopo essere stato gonfiato a fiato, viene lasciato cadere dal soffitto di una palestra della scuola fino al pavimento, 10 metri sottostante.

Quale dei grafici seguenti rappresenta meglio la sua velocità in funzione del tempo?

• A. A
• B. B
• C. C
• D. D
• E. E

Five v(t) graphs for falling balloon

Topic: Newtonian Mechanics, Fluid Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Ball Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

A balloon, after being blown in, is dropped from the ceiling of a school gym to the floor, 10 meters below.

Which of the following graphs best represents its speed with respect to time?

• A. A
• B. B
• C. C
• D. D
• E. E

The following table shows the number of samples taken from the sample.

Topic: Newtonian Mechanics, Fluid Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Ball Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the protection of the environment.

Due automobili hanno peso diverso e viaggiano a velocità diverse su un rettilineo pianeggiante. Per arrestare le due automobili nello stesso intervallo di tempo sono necessarie due forze diverse. In ogni caso, la forza maggiore è quella richiesta per fermare l’automobile che ha maggiore …

• A. … energia cinetica.
• B. … massa.
• C. … peso.
• D. … quantità di moto.
• E. … velocità. Topic: Newtonian Mechanics, Conservation of Momentum Metodi: Impulse-Momentum Theorem, Free-Body Diagram Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Two cars have different weights and travel at different speeds on a flat straight line. To stop the two cars in the same time frame, two different forces are needed. In any case, the force majeure is the request to stop the car that has the most…

• A. … The energy of the kinetic energy.
• B. … The mass.
• C. … weight.
• D. … amount of motorcycle.
• E. … The speed. Topic: Newtonian Mechanics, Conservation of Momentum Metodi: Impulse-Momentum Theorem, Free-Body Diagram Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the protection of the environment.

Una sciatrice di 50 kg si lascia andare, dal fianco di una collinetta (punto A in figura), ad un’altezza $h_1=20.4\text{ m}$, superando un secondo rilievo alto $h_2=8\text{ m}$ ed arrivando in piano nel punto C. In tutto questo percorso l’attrito si può considerare trascurabile.

Qual è la velocità della sciatrice nel punto più alto (B) del secondo rilievo?

• A. $9.64{\text{ m s}}^{-1}$
• B. $11.2{\text{ m s}}^{-1}$
• C. $12.5{\text{ m s}}^{-1}$
• D. $15.6{\text{ m s}}^{-1}$
• E. $23.6{\text{ m s}}^{-1}$

Ski slope with points A, B, C

Topic: Conservation of Energy, Newtonian Mechanics Metodi: Energy Conservation Method, Kinematic Equations Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

A 50 kg skier is allowed to go from the side of a hill (point A in Figure) to a height of $h_1=20.4\text{ m}$, passing a second high ridge $h_2=8\text{ m}$ and reaching a plane at point C. In all this, friction can be considered negligible.

What is the speed of the skier at the highest point (B) of the second survey?

• A. $9.64{\text{ m s}}^{-1}$
• B. $11.2{\text{ m s}}^{-1}$
• C. $12.5{\text{ m s}}^{-1}$
• D. $15.6{\text{ m s}}^{-1}$
• E. $23.6{\text{ m s}}^{-1}$

Ski slope with points A, B, C

Topic: Conservation of Energy, Newtonian Mechanics Metodi: Energy Conservation Method, Kinematic Equations Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.4 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the protection of the environment.

Con riferimento al quesito precedente, arrivata nel punto C, la sciatrice frena e si ferma dopo 48 m, nel punto D.

Quanto vale il valor medio della forza frenante nel tratto CD?

• A. 86.1 N
• B. 208 N
• C. 282 N
• D. 328 N
• E. 490 N Topic: Conservation of Energy, Newtonian Mechanics Metodi: Energy Conservation Method, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

With reference to the previous question, reached at point C, the skier brakes and stops after 48 m at point D.

What is the mean braking force value in the CD-track?

• A. 86.1 N
• B. 208 N
• C. 282 N
• D. 328 N
• E. 490 N Topic: Conservation of Energy, Newtonian Mechanics Metodi: Energy Conservation Method, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Nel circuito elettrico mostrato in figura, alimentato da una batteria che può essere trattata come un generatore ideale, la corrente attraverso il resistore da $2\Omega$ è di 3 A.

Quanto vale la f.e.m. $\mathcal{E}$ della batteria?

• A. 51 V
• B. 42 V
• C. 36 V
• D. 24 V
• E. 21 V

Resistor network with battery

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Physical Reasoning, Mathematical Modeling Objects: Resistor, Battery, Wire Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

In the electrical circuit shown in the figure, powered by a battery that can be treated as an ideal generator, the current through the resistor from $2\Omega$ is 3 A.

How much is the f.e.m. worth? $\mathcal{E}$ della batteria?

• A. 51 V
• B. 42 V
• C. 36 V
• D. 24 V
• E. 21 V

Resistor network with battery

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Physical Reasoning, Mathematical Modeling Objects: Resistor, Battery, Wire Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

Un raggio di luce monocromatico, di lunghezza d’onda $5.8\times 10^{-7}\text{ m}$, incide perpendicolarmente su due fenditure distanti $2.0\times 10^{-4}\text{ m}$. Su uno schermo distante 2.0 m dalle fenditure, disposto parallelamente al piano delle fenditure, si forma una figura d’interferenza.

Qual è, sullo schermo, la distanza tra il massimo centrale e quello del primo ordine?

• A. $5.8\times 10^{-11}\text{ m}$
• B. $1.5\times 10^{-3}\text{ m}$
• C. $5.8\times 10^{-3}\text{ m}$
• D. $1.16\times 10^{-1}\text{ m}$
• E. $6.9\times 10^2\text{ m}$ Topic: Wave Optics Metodi: Interference & Diffraction Analysis, Superposition Principle Competenze: Mathematical Modeling, Physical Reasoning Objects: Slit, Screen Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

A single-ray beam of light, wavelength $5.8\times 10^{-7}\text{ m}$, shall be perpendicular to two distant slits $2.0\times 10^{-4}\text{ m}$. On a screen 2.0 m from the cracks, parallel to the plane of the cracks, an interference figure is formed.

What’s the distance on the screen between the center maximum and the first order maximum?

• A. $5.8\times 10^{-11}\text{ m}$
• B. $1.5\times 10^{-3}\text{ m}$
• C. $5.8\times 10^{-3}\text{ m}$
• D. $1.16\times 10^{-1}\text{ m}$
• E. $6.9\times 10^2\text{ m}$ Topic: Wave Optics Metodi: Interference & Diffraction Analysis, Superposition Principle Competenze: Mathematical Modeling, Physical Reasoning Objects: Slit, Screen Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Un’automobile di massa $m=1.2\times 10^3\text{ kg}$ accelera uniformemente, su un tratto rettilineo di strada, da $v_1=10{\text{ m s}}^{-1}$ a $v_2=20{\text{ m s}}^{-1}$ in 5 s.

Quanto vale l’intensità della forza risultante che ha agito sull’automobile durante questo intervallo di tempo?

• A. $1.2\times 10^3\text{ N}$
• B. $2.4\times 10^3\text{ N}$
• C. $4.8\times 10^3\text{ N}$
• D. $1.2\times 10^4\text{ N}$
• E. $2.4\times 10^4\text{ N}$ Topic: Newtonian Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

A mass $m=1.2\times 10^3\text{ kg}$ car accelerates evenly, on a straight linear stretch of road, from $v_1=10{\text{ m s}}^{-1}$ to $v_2=20{\text{ m s}}^{-1}$ in 5 seconds.

What is the intensity of the resulting force acting on the car during this time?

• A. $1.2\times 10^3\text{ N}$
• B. $2.4\times 10^3\text{ N}$
• C. $4.8\times 10^3\text{ N}$
• D. $1.2\times 10^4\text{ N}$
• E. $2.4\times 10^4\text{ N}$ Topic: Newtonian Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Una bombola d’aria utilizzata da un sommozzatore è riempita ad una pressione di 20 MPa, alla temperatura di 20°C. La valvola di sicurezza della bombola è tarata in modo da aprirsi quando la pressione raggiunge i 24.5 MPa. La bombola, piena, viene lasciata al sole.

La valvola entrerebbe in funzione se la bombola raggiungesse una temperatura di …

• A. … 62°C
• B. … 86°C
• C. … 104°C
• D. … 125°C
• E. … 137°C Topic: Thermodynamics, Kinetic Theory Metodi: Ideal Gas Law Competenze: Mathematical Modeling, Physical Reasoning Objects: Container, Gas Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

An air pump used by a plumber is filled at a pressure of 20 MPa, at a temperature of 20°C. The safety valve of the pump is tapered so that it opens when the pressure reaches 24.5 MPa. The full flask is left in the sun.

The valve would be operational if the pump reached a temperature of …

• A. … 62°C
• B. … 86°C
• C. … 104°C
• D. … 125°C
• E. … 137°C Topic: Thermodynamics, Kinetic Theory Metodi: Ideal Gas Law Competenze: Mathematical Modeling, Physical Reasoning Objects: Container, Gas Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Un oggetto, rappresentato schematicamente da una freccia, è collocato davanti ad uno specchio concavo. Sia C il centro di curvatura dello specchio, ed F il fuoco.

Quale diagramma mostra correttamente il punto (Im) in cui si forma l’immagine della punta della freccia?

• A. A
• B. B
• C. C
• D. D
• E. E

Five concave mirror ray diagrams

Topic: Geometric Optics Metodi: Ray Tracing, Thin Lens & Mirror Equation Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Mirror Fonte: Testo (PDF) — p.5 Risposta: C · Soluzioni (PDF)

An object, represented schematically by an arrow, is placed in front of a concave mirror. Both C the center of curvature of the mirror, and F the fire.

What diagram correctly shows the point (Im) at which the image of the arrowhead is formed?

• A. A
• B. B
• C. C
• D. D
• E. E

The following is a list of the types of mirror images that are used:

Topic: Geometric Optics Metodi: Ray Tracing, Thin Lens & Mirror Equation Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Mirror Fonte: Testo (PDF) — p.5 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Un asteroide in orbita ellittica, si muove dal punto più vicino al Sole (punto P: perielio) percorrendo, in un certo intervallo di tempo, un quarto della sua orbita fino al punto Q.

Quali cambiamenti avvengono alla sua energia potenziale gravitazionale $U$ e al modulo del suo momento angolare $L$ (calcolato rispetto al Sole) tra i punti P e Q?

	$U$	$L$

• A. | aumenta | aumenta |
• B. | diminuisce | rimane invariato |
• C. | rimane invariata | diminuisce |
• D. | aumenta | rimane invariato |
• E. | diminuisce | aumenta |

Elliptical orbit with perihelion P and point Q

Topic: Gravitation, Conservation of Momentum Metodi: Conservation Laws, Kepler’s Laws, Newton’s Law of Gravitation Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Planet, Star Fonte: Testo (PDF) — p.5 Risposta: D · Soluzioni (PDF)

An elliptical asteroid, it moves from the nearest point to the Sun (point P: perielio) by traveling, in a certain time interval, a quarter of its orbit to the point Q.

What changes are occurring to its gravitational potential energy $U$ and its angular momentum $L$ (calculated relative to the Sun) between points P and Q?

	$U$	$L$

• MSK1 is increasing.
• MSK1 decreases, remains unchanged.
• MSK1 is unchanged.
• MSK1 is increasing, it stays the same.
• MSK1 is decreasing, it’s increasing.

Elliptical orbits with perihelion P and point Q

Topic: Gravitation, Conservation of Momentum Metodi: Conservation Laws, Kepler’s Laws, Newton’s Law of Gravitation Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Planet, Star Fonte: Testo (PDF) — p.5 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the prevention of trafficking in human beings’.

La carica elettrica su un oggetto potrebbe assumere uno tra i seguenti valori. Quale?

• A. $+3.2\times 10^{-18}\text{ C}$
• B. $+2.4\times 10^{-19}\text{ C}$
• C. $-1.8\times 10^{-18}\text{ C}$
• D. $-0.80\times 10^{-19}\text{ C}$
• E. $-1.6\times 10^{-20}\text{ C}$ Topic: Electrostatics, Modern-Quantum Physics Metodi: Coulomb’s Law Competenze: Physical Reasoning, Unit Conversion Objects: Point Charge Fonte: Testo (PDF) — p.5 Risposta: A · Soluzioni (PDF)

The electrical charge on an object could take on one of the following values. What kind of a thing?

• A. $+3.2\times 10^{-18}\text{ C}$
• B. $+2.4\times 10^{-19}\text{ C}$
• C. $-1.8\times 10^{-18}\text{ C}$
• D. $-0.80\times 10^{-19}\text{ C}$
• E. $-1.6\times 10^{-20}\text{ C}$ Topic: Electrostatics, Modern-Quantum Physics Metodi: Coulomb’s Law Competenze: Physical Reasoning, Unit Conversion Objects: Point Charge Fonte: Testo (PDF) — p.5 The Commission has also adopted a number of proposals for the implementation of the ‘Settlement of the European Union’s financial instruments.

Un blocco di 3 kg è legato ad un altro di 5 kg che a sua volta è tirato da una forza $\vec{F}$ orizzontale che fa muovere i due blocchi su un piano privo di attrito. L’accelerazione dei due blocchi è di $1.8{\text{ m s}}^{-2}$.

Quanto vale il modulo $F$ della forza?

• A. 3.6 N
• B. 5.4 N
• C. 7.2 N
• D. 9.0 N
• E. 14.4 N

Two blocks connected with horizontal force

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Physical Reasoning, Mathematical Modeling Objects: Block Fonte: Testo (PDF) — p.5 Risposta: E · Soluzioni (PDF)

A block of 3 kg is bound to another block of 5 kg which is in turn pulled by a horizontal force $\vec{F}$ which moves the two blocks on a frictionless plane. The acceleration of the two blocks is $1.8{\text{ m s}}^{-2}$.

What is the value of the force module $F$?

• A. 3.6 N
• B. 5.4 N
• C. 7.2 N
• D. 9.0 N
• E. 14.4 N

Two blocks connected with horizontal force

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Physical Reasoning, Mathematical Modeling Objects: Block Fonte: Testo (PDF) — p.5 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the Community’s common fisheries policy.

Un campione solido viene riscaldato e si osserva che la sua temperatura aumenta, ma il solido non fonde.

Quale, tra le affermazioni seguenti, descrive meglio come variano l’energia cinetica media e l’energia potenziale media delle molecole del campione durante il riscaldamento?

• A. L’energia potenziale diminuisce e l’energia cinetica aumenta.
• B. L’energia potenziale aumenta e l’energia cinetica rimane costante.
• C. L’energia potenziale rimane costante e l’energia cinetica diminuisce.
• D. L’energia potenziale rimane costante e l’energia cinetica aumenta.
• E. Sia l’energia potenziale che l’energia cinetica decrescono. Topic: Thermodynamics, Kinetic Theory Metodi: Kinetic Theory of Gases, First Law of Thermodynamics Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.6 Risposta: D · Soluzioni (PDF)

A solid sample is heated and its temperature is observed to rise, but the solid does not melt.

Which of the following statements best describes how the mean kinetic energy and the mean potential energy of the sample molecules vary during heating?

• A. Potential energy decreases and kinetic energy increases.
• B. The potential energy increases and the kinetic energy remains constant.
• C. The potential energy remains constant and the kinetic energy decreases.
• D. The potential energy remains constant and the kinetic energy increases.
• E. Both potential energy and kinetic energy are decreasing. Topic: Thermodynamics, Kinetic Theory Metodi: Kinetic Theory of Gases, First Law of Thermodynamics Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.6 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the prevention of trafficking in human beings’.

Due punte di plastica sono uguali ed entrambe ugualmente cariche con carica negativa; esse sono disposte ad uguale distanza da una sferetta carica positivamente, come mostrato in figura.

Quale dei seguenti vettori rappresenta meglio la forza elettrostatica agente sulla sferetta?

• A. A
• B. B
• C. C
• D. D
• E. E

Two negative charges and positive sphere

Topic: Electrostatics Metodi: Coulomb’s Law, Vector Decomposition, Superposition Principle Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Point Charge Fonte: Testo (PDF) — p.6 Risposta: D · Soluzioni (PDF)

Two plastic points are equal and both are equally charged with negative charge; they are equally distant from a positively charged sphere, as shown in the figure.

Which of the following vectors best represents the electrostatic force of the agent on the sphere?

• A. A
• B. B
• C. C
• D. D
• E. E

Two negative charges and positive spheres

Topic: Electrostatics Metodi: Coulomb’s Law, Vector Decomposition, Superposition Principle Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Point Charge Fonte: Testo (PDF) — p.6 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the prevention of trafficking in human beings’.

Fotoni con un’energia di 7.9 eV incidono su una lastra di zinco, provocando l’emissione di elettroni la cui energia cinetica ha un valore massimo di 4.0 eV.

Il lavoro di estrazione dello zinco …

• A. … è 11.9 eV.
• B. … è 7.9 eV.
• C. … è 4.0 eV.
• D. … è 3.9 eV.
• E. … non può essere determinato con i dati a disposizione. Topic: Modern-Quantum Physics Metodi: Photon Energy Relation Competenze: Physical Reasoning, Mathematical Modeling Objects: Photon, Electron Fonte: Testo (PDF) — p.6 Risposta: D · Soluzioni (PDF)

Photons with an energy of 7.9 eV impact a zinc plate, causing the emission of electrons whose kinetic energy has a maximum value of 4.0 eV.

The zinc mining work …

• A. … è 11.9 eV.
• B. … è 7.9 eV.
• C. … è 4.0 eV.
• D. … è 3.9 eV.
• E. … can not be determined from the data available. Topic: Modern-Quantum Physics Metodi: Photon Energy Relation Competenze: Physical Reasoning, Mathematical Modeling Objects: Photon, Electron Fonte: Testo (PDF) — p.6 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the prevention of trafficking in human beings’.

1.5 L d’acqua si trovano alla pressione atmosferica e alla temperatura di 20°C. Successivamente l’acqua viene scaldata da un bollitore che le fornisce 2.2 kJ di energia al secondo. Si supponga di poter trascurare il calore disperso e l’evaporazione dell’acqua che avviene al di sotto del punto di ebollizione.

Dopo 20 minuti …

• A. … la temperatura dell’acqua è arrivata a 22.4°C.
• B. … la temperatura dell’acqua è arrivata a 84.3°C.
• C. … l’acqua sta bollendo e rimangono 550 cm³ di liquido.
• D. … l’acqua sta bollendo e rimangono 50 cm³ di liquido.
• E. … tutta l’acqua è passata allo stato di vapore. Topic: Thermodynamics Metodi: First Law of Thermodynamics, Ideal Gas Law Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.6 Risposta: C · Soluzioni (PDF)

1.5 Water liters are at atmospheric pressure and temperature 20°C. The water is then heated by a boiler that provides 2.2 kJ of energy per second. Suppose you can ignore the scattered heat and evaporation of water below the boiling point.

After 20 minutes …

• A. … the water temperature has reached 22.4°C.
• B. … the water temperature has reached 84.3°C.
• C. … The water is boiling and there’s still about a quarter of an inch of liquid left.
• D. … The water is boiling and there’s 50 cubic centimetres of liquid left.
• E. … All the water has gone to vapor. Topic: Thermodynamics Metodi: First Law of Thermodynamics, Ideal Gas Law Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.6 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

La figura mostra un’onda progressiva su una corda.

Quale coppia di punti si muove in fase?

• A. A, D
• B. A, G
• C. C, K
• D. D, I
• E. F, H

Progressive wave on string with labeled points

Topic: Oscillations & Waves Metodi: Wave Equation, Superposition Principle Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: String Fonte: Testo (PDF) — p.6 Risposta: C · Soluzioni (PDF)

The figure shows a progressive wave on a rope.

What pair of points moves in phase?

• A. A, D
• B. A, G
• C. C, K
• D. D, I
• E. F, H

Progressive wave on string with labeled points

Topic: Oscillations & Waves Metodi: Wave Equation, Superposition Principle Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: String Fonte: Testo (PDF) — p.6 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

La porta di un forno industriale ha un coefficiente di conducibilità termica $K=46{\text{ W m}}^{-1}{\text{K}}^{-1}$ ed uno spessore di 3 mm. La porta viene sostituita da un’altra porta di conducibilità termica $K^{\prime }=109{\text{ W m}}^{-1}{\text{K}}^{-1}$ e spessore 9 mm.

A parità di temperatura dell’ambiente esterno e del forno, la sostituzione ha moltiplicato la potenza termica dispersa attraverso la porta di un fattore …

• A. … 0.15
• B. … 0.79
• C. … 1
• D. … 1.38
• E. … 1.84 Topic: Thermodynamics Metodi: Physical Modeling, Dimensional Analysis Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.7 Risposta: B · Soluzioni (PDF)

The door of an industrial oven has a thermal conductivity coefficient $K=46{\text{ W m}}^{-1}{\text{K}}^{-1}$ and a thickness of 3 mm. The door is replaced by another heat conductivity door $K^{\prime }=109{\text{ W m}}^{-1}{\text{K}}^{-1}$ and 9 mm thick.

At the same temperature of the outer environment and the furnace, the replacement multiplied the heat power scattered through the door of a factor…

• A. … 0.15
• B. … 0.79
• C. … 1
• D. … 1.38
• E. … 1.84 Topic: Thermodynamics Metodi: Physical Modeling, Dimensional Analysis Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Un uccello si posa esattamente nel punto medio di un filo lungo 6 m, di massa trascurabile, teso tra due supporti; in quel punto a causa del suo peso, l’uccello fa abbassare il filo di 10 cm.

Sapendo che la tensione del filo è di 70 N, determinare la massa dell’uccello.

• A. 121 g
• B. 232 g
• C. 365 g
• D. 476 g
• E. 554 g

Bird on wire with sag geometry

Topic: Rigid Body Statics, Newtonian Mechanics Metodi: Free-Body Diagram, Vector Decomposition Competenze: Mathematical Modeling, Physical Reasoning Objects: String Fonte: Testo (PDF) — p.7 Risposta: D · Soluzioni (PDF)

A bird lies exactly in the middle of a 6 m long, negligible mass thread, stretched between two supports; at that point, because of its weight, the bird causes the thread to drop by 10 cm.

Knowing that the wire voltage is 70 N, determine the mass of the bird.

• A. 121 g
• B. 232 g
• C. 365 g
• D. 476 g
• E. 554 g

The following is the list of the countries of the European Union:

Topic: Rigid Body Statics, Newtonian Mechanics Metodi: Free-Body Diagram, Vector Decomposition Competenze: Mathematical Modeling, Physical Reasoning Objects: String Fonte: Testo (PDF) — p.7 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the prevention of trafficking in human beings’.

Si consideri una trasformazione adiabatica reversibile di un sistema costituito da una certa quantità di gas perfetto.

Quale delle seguenti affermazioni è falsa?

• A. Non c’è flusso di calore dall’esterno del sistema, né verso l’esterno.
• B. L’entropia dello stato iniziale è uguale a quella dello stato finale.
• C. La variazione di energia interna del gas è pari a $-\int PdV$.
• D. Il lavoro meccanico fatto dal gas è dato da $\int PdV$.
• E. La temperatura del gas rimane costante. Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis, First Law of Thermodynamics Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.7 Risposta: E · Soluzioni (PDF)

It is considered a reversible adiabatic transformation of a system consisting of a certain amount of perfect gas.

Which of the following is false?

• A. There is no heat flow from outside the system, nor to the outside.
• B. The entropy of the initial state is equal to that of the final state.
• C. The change in the internal energy of the gas is $-\int PdV$.
• D. The mechanical work done by the gas is given by $\int PdV$.
• The gas temperature remains constant. Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis, First Law of Thermodynamics Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the Community’s common fisheries policy.

La figura mostra un raggio di luce che passa da un mezzo ad un altro.

Quando la luce passa dal mezzo A al mezzo B:

• A. sia la velocità sia la frequenza diminuiscono.
• B. la velocità diminuisce, la frequenza non cambia.
• C. sia la velocità sia la frequenza restano inalterate.
• D. sia la velocità sia la frequenza aumentano.
• E. la velocità aumenta, la frequenza non cambia.

Light ray passing from medium A to B

Topic: Geometric Optics, Wave Optics Metodi: Snell’s Law, Ray Tracing Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.7 Risposta: B · Soluzioni (PDF)

The figure shows a beam of light passing from one medium to another.

When the light passes from middle A to middle B:

• A. both speed and frequency decrease.
• B. the speed decreases, the frequency does not change.
• C. both speed and frequency remain unchanged.
• D. both speed and frequency increase.
• E. the speed increases, the frequency does not change.

*Light ray passing from medium A to B *

Topic: Geometric Optics, Wave Optics Metodi: Snell’s Law, Ray Tracing Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Un fluido omogeneo e non comprimibile scorre in regime stazionario entro una tubazione disposta orizzontalmente che, come in figura, presenta un restringimento.

Quali, tra le seguenti relazioni di velocità e pressione, nei due punti indicati in figura, sono entrambe corrette?

• A. $v_1<v_2$ e $p_1=p_2$
• B. $v_1<v_2$ e $p_1>p_2$
• C. $v_1=v_2$ e $p_1<p_2$
• D. $v_1>v_2$ e $p_1=p_2$
• E. $v_1>v_2$ e $p_1>p_2$

Horizontal tube with constriction

Topic: Fluid Mechanics Metodi: Bernoulli’s Equation, Continuity Equation Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Tube Fonte: Testo (PDF) — p.7 Risposta: B · Soluzioni (PDF)

A homogeneous non-compressible fluid flows in a stationary mode through a horizontal tube which, as shown in the figure, is constricted.

Which of the following speed-pressure ratios, in the two points shown in the figure, are both correct?

• A. $v_1<v_2$ e $p_1=p_2$
• B. $v_1<v_2$ e $p_1>p_2$
• C. $v_1=v_2$ e $p_1<p_2$
• D. $v_1>v_2$ e $p_1=p_2$
• E. $v_1>v_2$ e $p_1>p_2$

The following table shows the results of the tests:

Topic: Fluid Mechanics Metodi: Bernoulli’s Equation, Continuity Equation Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Tube Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Un camioncino viene pesato su una bilancia stradale: il peso è 10000 N e di questo 8000 N gravano sull’asse posteriore.

Sapendo che la distanza tra gli assi è di 3 m determinare la distanza in orizzontale ($x$ in figura) tra l’asse posteriore e il centro di massa del camioncino.

• A. 0.6 m
• B. 0.8 m
• C. 1.2 m
• D. 2.0 m
• E. 3.0 m

Truck on scale with axle forces

Topic: Rigid Body Statics Metodi: Torque & Angular Momentum Analysis, Free-Body Diagram Competenze: Mathematical Modeling, Physical Reasoning Objects: Wheel Fonte: Testo (PDF) — p.8 Risposta: A · Soluzioni (PDF)

A truck is weighed on a road scale: the weight is 10000 N and of this 8000 N weigh on the rear axle.

Knowing that the distance between the axles is 3 m, determine the horizontal distance ($x$ in figure) between the rear axle and the centre of mass of the truck.

• A. 0.6 m
• B. 0.8 m
• C. 1.2 m
• D. 2.0 m
• E. 3.0 m

The vehicle shall be equipped with a single-stage engine.

Topic: Rigid Body Statics Metodi: Torque & Angular Momentum Analysis, Free-Body Diagram Competenze: Mathematical Modeling, Physical Reasoning Objects: Wheel Fonte: Testo (PDF) — p.8 The Commission has also adopted a number of proposals for the implementation of the ‘Settlement of the European Union’s financial instruments.

Per costruire un voltmetro si può pensare di utilizzare la bobina di un galvanometro (che serve a misurare piccole correnti che lo attraversano) insieme ad un’opportuna resistenza.

• A. Occorre una grande resistenza in serie al galvanometro.
• B. Occorre una piccola resistenza in serie al galvanometro.
• C. Occorre una grande resistenza in parallelo al galvanometro.
• D. Occorre una piccola resistenza in parallelo al galvanometro.
• E. Non si può ottenere un voltmetro usando un galvanometro. Topic: Circuits, Electromagnetism Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Physical Reasoning Objects: Galvanometer, Resistor, Coil Fonte: Testo (PDF) — p.8 Risposta: A · Soluzioni (PDF)

To build a voltmeter, one can think of using the coil of a galvanometer (which is used to measure small currents passing through it) along with an appropriate resistance.

• A. A large series resistance to the galvanometer is required.
• B. A small series resistance to the galvanometer is required.
• C. A high resistance is required in parallel with the galvanometer.
• D. A small resistance parallel to the galvanometer is required.
• E. A voltmeter cannot be obtained by using a galvanometer. Topic: Circuits, Electromagnetism Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Physical Reasoning Objects: Galvanometer, Resistor, Coil Fonte: Testo (PDF) — p.8 The Commission has also adopted a number of proposals for the implementation of the ‘Settlement of the European Union’s financial instruments.

Quale, tra i grafici mostrati, rappresenta la relazione che sussiste, in un gas perfetto, tra il valore medio dell’energia cinetica di una molecola, $E_c$, e la sua temperatura assoluta, $T$?

• A. A
• B. B
• C. C
• D. D
• E. E

Five graphs of Ec vs temperature

Topic: Kinetic Theory, Thermodynamics Metodi: Kinetic Theory of Gases, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.8 Risposta: D · Soluzioni (PDF)

Which of the graphs shown represents the relationship that exists in a perfect gas between the mean kinetic energy value of a molecule, $E_c$, and its absolute temperature, $T$?

• A. A
• B. B
• C. C
• D. D
• E. E

The following table shows the results of the calculations:

Topic: Kinetic Theory, Thermodynamics Metodi: Kinetic Theory of Gases, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.8 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the prevention of trafficking in human beings’.

Il grafico in figura rappresenta, in funzione del tempo, la posizione di un oggetto che si muove lungo l’asse $x$.

In quale tratto, tra quelli indicati con A, B, C, D od E, la velocità del corpo è positiva mentre la sua accelerazione è negativa?

• A. A
• B. B
• C. C
• D. D
• E. E

Position vs time graph with labeled segments

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 Risposta: E · Soluzioni (PDF)

The graph in this figure represents, depending on the time, the position of an object moving along the $x$ axis.

In which of the A, B, C, D, or E traits is the body’s speed positive while its acceleration is negative?

• A. A
• B. B
• C. C
• D. D
• E. E

The following table shows the position of the data subject in the table:

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the Community’s common fisheries policy.

Il grafico rappresenta la forza elastica di una molla in funzione dell’allungamento della molla stessa.

Quanto lavoro si compie per allungare questa molla di 40 cm?

• A. 4.8 J
• B. 6.0 J
• C. 9.6 J
• D. 9.8 J
• E. 24 J

Spring force vs elongation graph

Topic: Oscillations & Waves, Conservation of Energy Metodi: Hooke’s Law, Energy Conservation Method Competenze: Diagrammatic Reasoning, Mathematical Modeling Objects: Spring Fonte: Testo (PDF) — p.8 Risposta: A · Soluzioni (PDF)

The graph represents the elastic strength of a spring in relation to the length of the spring itself.

How much work does it take to stretch this spring by 40 centimeters?

• A. 4.8 J
• B. 6.0 J
• C. 9.6 J
• D. 9.8 J
• E. 24 J

The following table shows the results of the calculations:

Topic: Oscillations & Waves, Conservation of Energy Metodi: Hooke’s Law, Energy Conservation Method Competenze: Diagrammatic Reasoning, Mathematical Modeling Objects: Spring Fonte: Testo (PDF) — p.8 The Commission has also adopted a number of proposals for the implementation of the ‘Settlement of the European Union’s financial instruments.

Una studentessa deve determinare la densità di un liquido. Le misure eseguite sono le seguenti:

• Volume di liquido in un becher: 20.0 mL
• Massa del becher vuoto: 30.0 g
• Massa del becher pieno: 45.0 g

La densità del liquido è

• A. $1.33\times 10^{-3}{\text{ kg m}}^{-3}$
• B. $1.33\times 10^{-2}{\text{ kg m}}^{-3}$
• C. $7.5\times 10^2{\text{ kg m}}^{-3}$
• D. $0.75{\text{ kg m}}^{-3}$
• E. $3.75\times 10^3{\text{ kg m}}^{-3}$ Topic: Fluid Mechanics, Order-of-Magnitude Estimation Metodi: Dimensional Analysis, Experimental Data Analysis Competenze: Measurement & Instrumentation, Unit Conversion Objects: Container Fonte: Testo (PDF) — p.9 Risposta: C · Soluzioni (PDF)

A student has to determine the density of a liquid. The measures implemented are as follows:

• Volume of liquid in a beaker: 20.0 mL
• Mass of the empty beaker: 30.0 g
• Mass of the full beaker: 45.0 g

The density of the liquid is

• A. $1.33\times 10^{-3}{\text{ kg m}}^{-3}$
• B. $1.33\times 10^{-2}{\text{ kg m}}^{-3}$
• C. $7.5\times 10^2{\text{ kg m}}^{-3}$
• D. $0.75{\text{ kg m}}^{-3}$
• E. $3.75\times 10^3{\text{ kg m}}^{-3}$ Topic: Fluid Mechanics, Order-of-Magnitude Estimation Metodi: Dimensional Analysis, Experimental Data Analysis Competenze: Measurement & Instrumentation, Unit Conversion Objects: Container Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Un’automobile di 900 kg percorre lentamente una curva a raggio costante di 25 m, essendo la strada scivolosa. Il modulo della sua velocità è pari a $5{\text{ m s}}^{-1}$ mentre il coefficiente d’attrito tra le ruote e la strada è 0.51.

Quanto vale la forza d’attrito tra le ruote e la strada, se l’automobile riesce a completare la curva?

• A. $1.13\times 10^5\text{ N}$
• B. $9.80\times 10^4\text{ N}$
• C. $4.4\times 10^4\text{ N}$
• D. $4.5\times 10^3\text{ N}$
• E. $0.9\times 10^3\text{ N}$ Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Physical Reasoning, Mathematical Modeling Objects: Wheel Fonte: Testo (PDF) — p.9 Risposta: E · Soluzioni (PDF)

A 900-kg car travels slowly along a curve with a constant radius of 25 m, being the slippery road. Its speed is $5{\text{ m s}}^{-1}$ while the friction coefficient between the wheels and the road is 0.51.

What is the friction between the wheels and the road if the car can complete the curve?

• A. $1.13\times 10^5\text{ N}$
• B. $9.80\times 10^4\text{ N}$
• C. $4.4\times 10^4\text{ N}$
• D. $4.5\times 10^3\text{ N}$
• E. $0.9\times 10^3\text{ N}$ Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Physical Reasoning, Mathematical Modeling Objects: Wheel Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the Community’s common fisheries policy.

La figura mostra un impulso trasversale che si muove verso destra su una corda. P è un punto della corda.

Quale vettore indica la direzione e il verso in cui si sta muovendo il punto P in questo istante?

• A. A
• B. B
• C. C
• D. D
• E. E

Transverse pulse on string with point P

Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: String Fonte: Testo (PDF) — p.9 Risposta: A · Soluzioni (PDF)

The figure shows a transverse pulse moving to the right on a rope. P is a point on the string.

What vector indicates the direction and direction in which point P is moving at this moment?

• A. A
• B. B
• C. C
• D. D
• E. E

Transverse pulse on string with point P

Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: String Fonte: Testo (PDF) — p.9 The Commission has also adopted a number of proposals for the implementation of the ‘Settlement of the European Union’s financial instruments.

Un pallone aerostatico, riempito di elio ed avente una massa complessiva di 1.5 kg, sta salendo velocemente, a velocità verticale costante, fino ad un’altezza di 100 m dal suolo.

Quale, tra i valori indicati, può esprimere la spinta idrostatica sul pallone alla quota di 50 m?

• A. 0 N
• B. 1.47 N
• C. 2.2 N
• D. 14.7 N
• E. 22 N Topic: Fluid Mechanics, Newtonian Mechanics Metodi: Hydrostatic Equilibrium, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.9 Risposta: E · Soluzioni (PDF)

An air balloon, filled with helium and with a total mass of 1.5 kg, is rising rapidly, at constant vertical speed, to a height of 100 m above the ground.

Which of the values indicated can express the hydrostatic thrust on the ball at 50 m altitude?

• A. 0 N
• B. 1.47 N
• C. 2.2 N
• D. 14.7 N
• E. 22 N Topic: Fluid Mechanics, Newtonian Mechanics Metodi: Hydrostatic Equilibrium, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the Community’s common fisheries policy.

Un satellite di massa $m$ orbita attorno alla Terra. L’orbita è circolare ed ha raggio $R$.

Se al satellite è applicata solo la forza gravitazionale $F_g$, la sua velocità è data da:

• A. $\sqrt{\frac{F_{g}R}{m}}$
• B. $\frac{F_{g}R}{m}$
• C. $\sqrt{\frac{F_{g}m}{R}}$
• D. $\frac{F_{g}m}{R}$
• E. $F_{g}mR$ Topic: Gravitation, Newtonian Mechanics Metodi: Newton’s Law of Gravitation, Kinematic Equations, Dimensional Analysis Competenze: Mathematical Modeling, Physical Reasoning Objects: Satellite, Planet Fonte: Testo (PDF) — p.9 Risposta: A · Soluzioni (PDF)

A mass satellite $m$ orbiting the Earth. The orbit is circular and has a radius $R$.

If only the gravitational force $F_g$ is applied to the satellite, its speed shall be given by:

• A. $\sqrt{\frac{F_{g}R}{m}}$
• B. $\frac{F_{g}R}{m}$
• C. $\sqrt{\frac{F_{g}m}{R}}$
• D. $\frac{F_{g}m}{R}$
• E. $F_{g}mR$ Topic: Gravitation, Newtonian Mechanics Metodi: Newton’s Law of Gravitation, Kinematic Equations, Dimensional Analysis Competenze: Mathematical Modeling, Physical Reasoning Objects: Satellite, Planet Fonte: Testo (PDF) — p.9 The Commission has also adopted a number of proposals for the implementation of the ‘Settlement of the European Union’s financial instruments.

Un fascio ben collimato di particelle, di massa $m$ e carica elettrica $q$, passa attraverso un forellino, in una camera di lunghezza $L$. All’interno della camera si trovano un campo elettrico $\vec{E}$ e un campo magnetico $\vec{B}$ entrambi uniformi, costanti e orientati come in figura.

Qual è il modulo della velocità $\vec{v}$ delle particelle che attraversano lungo una retta tutta la camera ed escono dal secondo forellino posto sulla parete opposta?

• A. $\sqrt{EqL/m}$
• B. $\sqrt{EqL/m+B^2{q}^2{L}^2/m^2}$
• C. $\sqrt{EqL/m+BqL/m}$
• D. $BqL/m$
• E. $E/B$

Velocity selector chamber with E and B fields

Topic: Electromagnetism, Magnetism Metodi: Lorentz Force Analysis, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: Particle Beam Fonte: Testo (PDF) — p.9 Risposta: E · Soluzioni (PDF)

A well-cooled beam of particles, of mass $m$ and electric charge $q$, passes through a furnace, in a chamber of length $L$. Inside the chamber are an electric field $\vec{E}$ and a magnetic field $\vec{B}$ both uniform, constant and oriented as shown in the figure.

Qual è il modulo della velocità $\vec{v}$ delle particelle che attraversano lungo una retta tutta la camera ed escono dal secondo forellino posto sulla parete opposta?

• A. $\sqrt{EqL/m}$
• B. $\sqrt{EqL/m+B^2{q}^2{L}^2/m^2}$
• C. $\sqrt{EqL/m+BqL/m}$
• D. $BqL/m$
• E. $E/B$

Velocity selector chamber with E and B fields

Topic: Electromagnetism, Magnetism Metodi: Lorentz Force Analysis, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: Particle Beam Fonte: Testo (PDF) — p.9 Risposta: E · Soluzioni (PDF)

Sul pianeta X, privo di atmosfera, un corpo ha massa $m=15\text{ kg}$ e peso $W=60\text{ N}$. Si lascia andare il corpo in caduta libera in una zona prossima alla superficie del pianeta.

Si vuol sapere qual è l’accelerazione dell’oggetto dopo essere caduto per 6.0 s.

• A. $0.25{\text{ m s}}^{-2}$
• B. $4.0{\text{ m s}}^{-2}$
• C. $10{\text{ m s}}^{-2}$
• D. $15{\text{ m s}}^{-2}$
• E. $24{\text{ m s}}^{-2}$ Hydrogen absorption spectra, 5 options

Topic: Newtonian Mechanics, Gravitation Metodi: Free-Body Diagram, Kinematic Equations Competenze: Physical Reasoning, Mathematical Modeling Objects: Planet Fonte: Testo (PDF) — p.10 Risposta: B · Soluzioni (PDF)

On planet X, without atmosphere, a body has mass $m=15\text{ kg}$ and weight $W=60\text{ N}$. You let the body fall free into an area near the surface of the planet.

You want to know what the acceleration of the object is after it’s fallen for 6.0 seconds.

• A. $0.25{\text{ m s}}^{-2}$
• B. $4.0{\text{ m s}}^{-2}$
• C. $10{\text{ m s}}^{-2}$
• D. $15{\text{ m s}}^{-2}$
• E. $24{\text{ m s}}^{-2}$ The following information is provided by the Commission on the basis of the information provided by the Member States:

Topic: Newtonian Mechanics, Gravitation Metodi: Free-Body Diagram, Kinematic Equations Competenze: Physical Reasoning, Mathematical Modeling Objects: Planet Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Il grafico mostra la relazione che si è trovata tra la carica di un corpo e il lavoro compiuto da una forza esterna, quando il corpo viene spostato tra due punti fissati A e B, in un campo elettrostatico (in assenza di altri tipi di interazione).

Che cosa rappresenta la pendenza di questo grafico?

• A. La potenza
• B. La corrente elettrica
• C. Il modulo della forza elettrica
• D. L’intensità del campo elettrico
• E. La differenza di potenziale

Work vs charge in electrostatic field

Topic: Electrostatics Metodi: Electric Potential Method, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Point Charge Fonte: Testo (PDF) — p.10 Risposta: E · Soluzioni (PDF)

The graph shows the relationship that has been found between the load of a body and the work done by an external force, when the body is moved between two fixed points A and B, in an electrostatic field (in the absence of other types of interaction).

What does the slope of this graph represent?

• A. Power
• B. Electric current
• C. The electrical force module
• D. The intensity of the electric field
• E. The difference in potential

The following information is provided for in Article 2 (1) of Regulation (EU) No 1303/2013.

Topic: Electrostatics Metodi: Electric Potential Method, Graph Linearization Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Point Charge Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the Community’s common fisheries policy.

Il diagramma a destra mostra quattro righe di assorbimento ottenute con uno spettroscopio, facendo passare della luce bianca attraverso un recipiente contenente atomi di idrogeno, in un laboratorio.

Osservando una certa stella che si sta allontanando dalla Terra viene registrato un analogo spettro dovuto all’assorbimento della luce emessa, da parte dell’idrogeno presente nell’atmosfera di quella stella.

Tenendo conto che nel disegnare i successivi 5 diagrammi, identificati con le lettere A, B, C, D ed E, è stato considerato il medesimo intervallo in lunghezza d’onda ed è stata utilizzata esattamente la stessa scala (crescente verso sinistra), quale di questi può rappresentare lo spettro osservato della stella?

• A. A
• B. B
• C. C
• D. D
• E. E Topic: Modern-Quantum Physics, Astrophysics, Special Relativity Metodi: Photon Energy Relation, Bohr Model & Quantization Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Atom, Star, Photon Fonte: Testo (PDF) — p.10 Risposta: D · Soluzioni (PDF)

The diagram on the right shows four absorption lines obtained with a spectroscope, passing white light through a container containing hydrogen atoms, in a laboratory.

Observing a certain star moving away from the Earth shows an analogue spectrum due to the absorption of light emitted by hydrogen in the atmosphere of that star.

Given that in drawing the following 5 diagrams, identified by the letters A, B, C, D and E, the same wavelength range was considered and the exact same scale (increasing to the left) was used, which of these can represent the observed spectrum of the star?

• A. A
• B. B
• C. C
• D. D
• E. E Topic: Modern-Quantum Physics, Astrophysics, Special Relativity Metodi: Photon Energy Relation, Bohr Model & Quantization Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Atom, Star, Photon Fonte: Testo (PDF) — p.10 The Commission has also adopted a number of proposals for the implementation of the ‘European Union’s strategy for the prevention of trafficking in human beings’.