OII 2021 1° Livello

Nell’estate 2021 ricorre il 50° dell’esperimento di David Scott — astronauta della missione Apollo 15 (26 luglio – 7 agosto) — quando, sulla Luna, lasciò cadere da fermi una piuma e un martello per ricordare gli esperimenti pensati da Galileo.

Quale dei seguenti grafici rappresenta l’andamento dell’energia cinetica della piuma in funzione del tempo?

5 grafici Ec(t) per corpo in caduta libera

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

In the summer of 2021, the 50° of David Scott’s experiment is used as an astronaut on the Apollo 15 mission (26 July 7 August) when he dropped a feather and hammer to remember Galileo’s experiments.

Which of the following graphs shows the trend of the feather’s kinetic energy over time?

5 graphs Ec(t) per free-falling body

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Free-Body Diagram Competenze: Physical Reasoning, Diagrammatic Reasoning 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.

Il grafico mostra l’energia potenziale $U$ in funzione della distanza $r$ tra due molecole.

Quale delle seguenti alternative descrive correttamente la forza tra le molecole?

	attrattiva per	repulsiva per
(A)	$r<r_1$	$r>r_1$
(B)	$r>r_1$	$r<r_1$
(C)	$r<r_2$	$r>r_2$
(D)	$r>r_2$	$r<r_2$
(E)	tutti i valori di $r$	nessun valore di $r$

Topic: Newtonian Mechanics, Electrostatics Metodi: Physical Modeling, Conservation of Energy Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

The graph shows the potential energy $U$ as a function of the distance $r$ between two molecules.

Which of the following correctly describes the force between molecules?

♪ attractive for you ♪ repulsive for you ♪ |---|---|---| | (A) | $r<r_1$ | $r>r_1$ | | (B) | $r>r_1$ | $r<r_1$ | | (C) | $r<r_2$ | $r>r_2$ | | (D) | $r>r_2$ | $r<r_2$ | | (E) | tutti i valori di $r$ | nessun valore di $r$ |

Topic: Newtonian Mechanics, Electrostatics Metodi: Physical Modeling, Conservation of Energy Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Quale figura rappresenta il fenomeno della diffrazione?

4 opzioni A–D di schemi di diffrazione

Topic: Oscillations & Waves, Wave Optics Metodi: Superposition Principle, Wave Equation Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

What figure is represented by the diffraction phenomenon?

The following information shall be provided:

Topic: Oscillations & Waves, Wave Optics Metodi: Superposition Principle, Wave Equation Competenze: Diagrammatic Reasoning, Physical Reasoning 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.

Un dispositivo elettrico lavora alimentato da un generatore di f.e.m. $\mathcal{E}=1,5\text{V}$ avente resistenza interna $r=1\Omega$; esso eroga una corrente $I=0,2\text{A}$.

Quanta energia assorbe il dispositivo per restare acceso 60 secondi?

• A. $3,6\text{J}$
• B. $4,5\text{J}$
• C. $8,0\text{J}$
• D. $15,6\text{J}$
• E. $18\text{J}$ Topic: Circuits Metodi: Kirchhoff’s Laws, Energy Conservation Method Competenze: Physical Reasoning, Mathematical Modeling Objects: Battery, Resistor Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

An electrical device works powered by an electrical generator. $\mathcal{E}=1,5\text{V}$ with internal resistance $r=1\Omega$; it delivers a current $I=0,2\text{A}$.

How much energy does the device absorb to stay on for 60 seconds?

• A. $3,6\text{J}$
• B. $4,5\text{J}$
• C. $8,0\text{J}$
• D. $15,6\text{J}$
• E. $18\text{J}$ Topic: Circuits Metodi: Kirchhoff’s Laws, Energy Conservation Method Competenze: Physical Reasoning, Mathematical Modeling Objects: Battery, Resistor Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Un blocco di peso $150\text{N}$ viene tirato in salita su un piano inclinato fino a un’altezza di $2\text{m}$, come mostrato in figura. La forza trainante compie un lavoro complessivo di $400\text{J}$.

Tenendo conto che il blocco è fermo all’inizio e alla fine del sollevamento, il lavoro compiuto dalla forza di attrito è, in modulo,

• A. $0\text{J}$
• B. $100\text{J}$
• C. $300\text{J}$
• D. $500\text{J}$
• E. $700\text{J}$

Blocco su piano inclinato con forza trainante

Topic: Newtonian Mechanics, Conservation of Energy Metodi: Conservation of Energy, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: Block, Inclined Plane Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

A block of $150\text{N}$ weight is pulled upwards on an inclined plane up to a height of $2\text{m}$, as shown in Figure 1. The traction force shall perform an overall work of $400\text{J}$.

Taking into account that the block is fixed at the beginning and at the end of the lift, the work done by the friction force is, in the form,

• A. $0\text{J}$
• B. $100\text{J}$
• C. $300\text{J}$
• D. $500\text{J}$
• E. $700\text{J}$

Lock on a flat slope with traction force

Topic: Newtonian Mechanics, Conservation of Energy Metodi: Conservation of Energy, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: Block, Inclined Plane 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 proiettili vengono lanciati orizzontalmente dalla cima di una torre, al centro di un vasto terreno pianeggiante. Il proiettile 1 viene lanciato con una velocità di $20{\text{m s}}^{-1}$ e arriva a terra in un punto a $60\text{m}$ dalla verticale del punto di lancio. Il proiettile 2 viene lanciato, nella stessa direzione, con una velocità di $30{\text{m s}}^{-1}$. Per semplicità si suppone che gli attriti siano trascurabili.

A che distanza dal primo tocca terra il proiettile 2?

• A. $30\text{m}$
• B. $45\text{m}$
• C. $60\text{m}$
• D. $75\text{m}$
• E. $90\text{m}$ Topic: Newtonian Mechanics Metodi: Kinematic Equations, Vector Decomposition Competenze: Mathematical Modeling, Physical Reasoning Objects: Projectile Fonte: Testo (PDF) — p.4 Risposta: A · Soluzioni (PDF)

Two bullets are thrown horizontally from the top of a tower, in the center of a vast flat terrain. The projectile 1 is launched at a speed of $20{\text{m s}}^{-1}$ and lands at a point $60\text{m}$ from the launch point vertical. The projectile 2 is launched in the same direction at a speed of $30{\text{m s}}^{-1}$. For simplicity’s sake, friction is supposed to be negligible.

How far from the first touch of the ground is the bullet 2?

• A. $30\text{m}$
• B. $45\text{m}$
• C. $60\text{m}$
• D. $75\text{m}$
• E. $90\text{m}$ Topic: Newtonian Mechanics Metodi: Kinematic Equations, Vector Decomposition Competenze: Mathematical Modeling, Physical Reasoning Objects: Projectile 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.

Quanto è alta la torre del quesito precedente?

• A. $29\text{m}$
• B. $44\text{m}$
• C. $60\text{m}$
• D. $90\text{m}$
• E. $104\text{m}$ Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling, Physical Reasoning Objects: Projectile Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

How tall is the tower in the previous question?

• A. $29\text{m}$
• B. $44\text{m}$
• C. $60\text{m}$
• D. $90\text{m}$
• E. $104\text{m}$ Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling, Physical Reasoning Objects: Projectile Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

La figura mostra schematicamente un’onda in un ondoscopio che incide obliquamente su una barriera in cui sono aperte due fenditure $F_1$ e $F_2$. Oltre la barriera si formano delle frange d’interferenza.

Se $A$ è l’ampiezza dell’onda «a monte» della barriera, qual è l’ampiezza dell’oscillazione in un punto $P$ dell’asse del segmento $F_1{F}_2$?

• A. $2A$
• B. Tra $A$ e $2A$
• C. $A$
• D. Tra $0$ e $A$
• E. $0$

Schema ondoscopio a doppia fenditura

Topic: Oscillations & Waves, Wave Optics Metodi: Superposition Principle, Interference & Diffraction Analysis Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Slit Fonte: Testo (PDF) — p.4 Risposta: E · Soluzioni (PDF)

The figure shows a wave in a waveguide that is blurred onto a barrier where two $F_1$ and $F_2$ slits are open. Over the barrier, interference fringes are formed.

If $A$ is the wavelength a of the barrier, what is the wavelength of oscillation at a point $P$ of the $F_1{F}_2$ segment axis?

• A. $2A$
• B. Between $A$ and $2A$
• C. $A$
• D. Between $0$ and $A$
• E. $0$

The following table shows the results of the calculation of the total value of the samples:

Topic: Oscillations & Waves, Wave Optics Metodi: Superposition Principle, Interference & Diffraction Analysis Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Slit Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

In figura è mostrato un blocco di massa $M$ inizialmente a riposo su una superficie orizzontale con attrito trascurabile e un proiettile di massa $m$ sparato orizzontalmente a velocità di modulo $v$.

Se il proiettile resta conficcato nel blocco, qual è la velocità finale del sistema blocco-proiettile?

• A. $\frac{M-m}{M}v$
• B. $\frac{M+m}{M}v$
• C. $\frac{m}{M+m}v$
• D. $\frac{m}{M-m}v$
• E. $v$

Proiettile m che si conficca nel blocco M

Topic: Newtonian Mechanics, Conservation of Momentum Metodi: Conservation of Momentum, Impulse-Momentum Theorem Competenze: Physical Reasoning, Mathematical Modeling Objects: Projectile, Block Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

The figure shows a mass block $M$ initially resting on a horizontal surface with negligible friction and a mass bullet $m$ fired horizontally at a speed of $v$.

If the bullet remains stuck in the block, what is the final speed of the bullet-block system?

• A. $\frac{M-m}{M}v$
• B. $\frac{M+m}{M}v$
• C. $\frac{m}{M+m}v$
• D. $\frac{m}{M-m}v$
• E. $v$

M-balls that are stuck in the M-block

Topic: Newtonian Mechanics, Conservation of Momentum Metodi: Conservation of Momentum, Impulse-Momentum Theorem Competenze: Physical Reasoning, Mathematical Modeling Objects: Projectile, Block Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

L’unità ${\text{V m}}^{-1}$ misura la stessa grandezza fisica di

• A. ${\text{J V}}^{-1}$
• B. $\text{J C}$
• C. ${\text{N A}}^{-1}{\text{m}}^{-1}$
• D. ${\text{N m}}^2{\text{C}}^{-2}$
• E. ${\text{N C}}^{-1}$ Topic: Electrostatics Metodi: Dimensional Analysis Competenze: Unit Conversion, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 Risposta: E · Soluzioni (PDF)

The ${\text{V m}}^{-1}$ unit measures the same physical size as

• A. ${\text{J V}}^{-1}$
• B. $\text{J C}$
• C. ${\text{N A}}^{-1}{\text{m}}^{-1}$
• D. ${\text{N m}}^2{\text{C}}^{-2}$
• E. ${\text{N C}}^{-1}$ Topic: Electrostatics Metodi: Dimensional Analysis Competenze: Unit Conversion, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Due lunghi magneti a barra sono disposti in verticale, entrambi con il polo nord in alto, sotto a un foglio di carta orizzontale su cui è disposta della limatura di ferro.

Quale figura rappresenta meglio ciò che si osserva?

5 opzioni di linee di campo tra due poli nord

Topic: Magnetism Metodi: Physical Modeling, Symmetry Argument Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Magnet Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

Two long bar magnets are arranged vertically, both with the north pole up, under a horizontal sheet of paper on which the iron liner is arranged.

What figure best represents what is observed?

5 field lines between two north poles options

Topic: Magnetism Metodi: Physical Modeling, Symmetry Argument Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Magnet 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 un contenitore una certa quantità di gas perfetto subisce la trasformazione adiabatica reversibile rappresentata nel grafico tra gli stati $S_1$ e $S_2$.

Quali delle seguenti affermazioni sono corrette?

1 – La temperatura del gas aumenta progressivamente. 2 – L’entropia del gas aumenta durante la trasformazione. 3 – Il gas è biatomico.

• A. Solo la 1
• B. Solo la 3
• C. La 1 e la 2
• D. La 1 e la 3
• E. La 2 e la 3

Grafico p-V di trasformazione adiabatica S1→S2

Topic: Thermodynamics, Kinetic Theory Metodi: Thermodynamic Cycle Analysis, Ideal Gas Law Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Gas, Container Fonte: Testo (PDF) — p.5 Risposta: D · Soluzioni (PDF)

In a container a certain amount of perfect gas undergoes the reversible adiabatic transformation shown in the graph between $S_1$ and $S_2$ states.

Which of the following statements is correct?

1 The gas temperature increases gradually. 2 Gas entropy increases during processing. 3 The gas is biatomic.

• A. Only the 1
• ** B ** Only the 3
• C. La 1 e la 2
• D. La 1 e la 3
• E. La 2 e la 3

The following table shows the following:

Topic: Thermodynamics, Kinetic Theory Metodi: Thermodynamic Cycle Analysis, Ideal Gas Law Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Gas, Container Fonte: Testo (PDF) — p.5 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Con riferimento alla stessa situazione descritta nel quesito precedente, si osserva che nella trasformazione la temperatura del gas, tra $S_1$ e $S_2$, varia di $50^{\circ }\text{C}$.

Qual è la quantità di gas nel contenitore, espressa in moli?

• A. $0,12$
• B. $0,18$
• C. $0,24$
• D. $0,36$
• E. $0,48$ Topic: Thermodynamics, Kinetic Theory Metodi: First Law of Thermodynamics, Ideal Gas Law Competenze: Mathematical Modeling, Physical Reasoning Objects: Gas, Container Fonte: Testo (PDF) — p.5 Risposta: A · Soluzioni (PDF)

Con riferimento alla stessa situazione descritta nel quesito precedente, si osserva che nella trasformazione la temperatura del gas, tra $S_1$ e $S_2$, varia di $50^{\circ }\text{C}$.

What is the amount of gas in the container, expressed in mills?

• A. $0,12$
• B. $0,18$
• C. $0,24$
• D. $0,36$
• E. $0,48$ Topic: Thermodynamics, Kinetic Theory Metodi: First Law of Thermodynamics, Ideal Gas Law Competenze: Mathematical Modeling, Physical Reasoning Objects: Gas, Container Fonte: Testo (PDF) — p.5 Risposta: A · Soluzioni (PDF)

Un pallone viene lanciato verso l’alto con velocità di $10{\text{m s}}^{-1}$.

Trascurando ogni effetto dovuto all’aria, quale deve essere l’elevazione sull’orizzontale della velocità iniziale ${\vec{v}}_0$ affinché la palla resti in aria più a lungo possibile?

5 opzioni A–E di angoli di lancio

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Vector Decomposition Competenze: Physical Reasoning, Mathematical Modeling Objects: Ball Fonte: Testo (PDF) — p.5 Risposta: A · Soluzioni (PDF)

A ball is thrown upwards at a speed of $10{\text{m s}}^{-1}$.

For all air effects, what should be the elevation above the horizontal of the initial speed ${\vec{v}}_0$ for the ball to remain in the air as long as possible?

The following shall be added to the list of the following:

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Vector Decomposition Competenze: Physical Reasoning, Mathematical Modeling Objects: Ball Fonte: Testo (PDF) — p.5 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Il diagramma mostra schematicamente lo spettro di emissione di un campione di una miscela di gas incognita e le linee spettrali più brillanti di 4 elementi (P, Q, R ed S).

Confrontando questi spettri, quali elementi compongono il campione che si sta analizzando?

• A. P e Q
• B. P e S
• C. Q e R
• D. R e S
• E. P, Q e S

Spettri di emissione campione e 4 elementi P Q R S

Topic: Modern-Quantum Physics Metodi: Bohr Model & Quantization, Photon Energy Relation Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.5 Risposta: C · Soluzioni (PDF)

The diagram shows the emission spectrum of a sample of an unknown gas mixture and the brightest spectral lines of 4 elements (P, Q, R and S).

Comparing these spectra, what elements make up the sample being analyzed?

• A. P e Q
• B. P e S
• C. Q e R
• D. R e S
• E. P, Q e S

The sample emission spectra and 4 elements P Q R S

Topic: Modern-Quantum Physics Metodi: Bohr Model & Quantization, Photon Energy Relation Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.5 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Sulla superficie di Marte, il cui raggio medio è $R=3,39\times 10^6\text{m}$, un satellite pesa $2800\text{N}$.

A che distanza dal centro del pianeta si trova quel satellite quando il suo peso è $1000\text{N}$?

• A. $1,21\times 10^6\text{m}$
• B. $5,67\times 10^6\text{m}$
• C. $9,49\times 10^6\text{m}$
• D. $2,66\times 10^7\text{m}$
• E. $3,22\times 10^7\text{m}$ Topic: Gravitation Metodi: Newton’s Law of Gravitation Competenze: Mathematical Modeling, Physical Reasoning Objects: Satellite, Planet Fonte: Testo (PDF) — p.5 Risposta: B · Soluzioni (PDF)

On the surface of Mars, whose average radius is $R=3,39\times 10^6\text{m}$, a satellite weighs $2800\text{N}$.

How far from the center of the planet is that satellite when its weight is $1000\text{N}$?

• A. $1,21\times 10^6\text{m}$
• B. $5,67\times 10^6\text{m}$
• C. $9,49\times 10^6\text{m}$
• D. $2,66\times 10^7\text{m}$
• E. $3,22\times 10^7\text{m}$ Topic: Gravitation Metodi: Newton’s Law of Gravitation Competenze: Mathematical Modeling, Physical Reasoning Objects: Satellite, Planet 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 solenoide — che può essere trattato come ideale — è percorso da una corrente e si trova all’interno di un campo magnetico uniforme perpendicolare al suo asse.

Si può affermare che sul solenoide agisce

• A. una forza risultante perpendicolare al foglio con verso uscente.
• B. una forza risultante parallela al campo magnetico e concorde con esso.
• C. una forza risultante parallela al campo magnetico e discorde da esso.
• D. un momento risultante che tende a farlo ruotare in senso antiorario.
• E. un momento risultante che tende a farlo ruotare in senso orario.

Solenoide in campo magnetico uniforme perpendicolare

Topic: Magnetism, Electromagnetism Metodi: Lorentz Force Analysis, Torque & Angular Momentum Analysis Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Solenoid Fonte: Testo (PDF) — p.6 Risposta: D · Soluzioni (PDF)

A solenoid that can be treated as ideal is traversed by a current and is located within a uniform magnetic field perpendicular to its axis.

It can be said that the solenoid acts

• A. a force perpendicular to the outward leaf.
• ** B.** a resulting force parallel to and in accordance with the magnetic field.
• **C ** a resulting force parallel to and discordant with the magnetic field.
• D. a resulting moment that tends to turn it off clockwise.
• E. a resulting moment that tends to turn it clockwise.

Solenoids in the uniform perpendicular magnetic field

Topic: Magnetism, Electromagnetism Metodi: Lorentz Force Analysis, Torque & Angular Momentum Analysis Competenze: Physical Reasoning, Diagrammatic Reasoning Objects: Solenoid Fonte: Testo (PDF) — p.6 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Per far muovere un oggetto in verticale alla velocità costante di $2{\text{m s}}^{-1}$ è necessaria una potenza $W=10\text{W}$.

La massa dell’oggetto è circa

• A. $0,25\text{kg}$
• B. $0,5\text{kg}$
• C. $2\text{kg}$
• D. $4\text{kg}$
• E. $5\text{kg}$ Topic: Newtonian Mechanics, Conservation of Energy Metodi: Energy Conservation Method, Kinematic Equations Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.6 Risposta: B · Soluzioni (PDF)

A power of $W=10\text{W}$ is required to move an object vertically at a constant speed of $2{\text{m s}}^{-1}$.

The mass of the object is about

• A. $0,25\text{kg}$
• B. $0,5\text{kg}$
• C. $2\text{kg}$
• D. $4\text{kg}$
• E. $5\text{kg}$ Topic: Newtonian Mechanics, Conservation of Energy Metodi: Energy Conservation Method, Kinematic Equations 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.

Uno studente esce per una passeggiata serale e cammina per $2,5\text{km}$ verso est, poi per $2\text{km}$ verso nord, per $500\text{m}$ verso ovest ed infine per $2,5\text{km}$ in una direzione, nel quadrante sud-ovest, che lo riporta in un punto del primo tratto.

Qual è stato lo spostamento dello studente?

• A. $0$
• B. $0,5\text{km}$ verso est
• C. $0,5\text{km}$ verso ovest
• D. $7\text{km}$
• E. $7,5\text{km}$ Topic: Newtonian Mechanics Metodi: Vector Decomposition Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.6 Risposta: B · Soluzioni (PDF)

A student goes out for an evening walk and walks $2,5\text{km}$ eastward, then $2\text{km}$ northward, $500\text{m}$ westward and finally $2,5\text{km}$ in one direction, in the southwest quadrant, which brings him back to a point in the first section.

What was the student’s move?

• A. $0$
• **B ** $0,5\text{km}$ to the east
• C. $0,5\text{km}$ to the west
• D. $7\text{km}$
• E. $7,5\text{km}$ Topic: Newtonian Mechanics Metodi: Vector Decomposition 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.

Il dispositivo mostrato in figura può ruotare senza attrito intorno ad un perno centrale e perpendicolare alla pagina. Le tre forze mostrate in figura, di cui è indicato il modulo, sono applicate tangenzialmente alle rispettive circonferenze.

Il modulo del momento meccanico risultante vale

• A. $\frac{3}{2}Fr$
• B. $\frac{5-\sqrt{2}}{2}Fr$
• C. $\frac{3+\sqrt{2}}{2}Fr$
• D. $\frac{5}{2}Fr$
• E. $\frac{7}{2}Fr$

Dispositivo a tre circonferenze con forze tangenziali

Topic: Rigid Body Statics, Rotational Dynamics Metodi: Torque & Angular Momentum Analysis, Vector Decomposition Competenze: Mathematical Modeling, Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.6 Risposta: A · Soluzioni (PDF)

The device shown in the figure can rotate without friction around a central axis perpendicular to the page. The three forces shown in the figure, which is shown in the form, are applied tangentially to the respective circumferences.

The resulting mechanical momentum is

• A. $\frac{3}{2}Fr$
• B. $\frac{5-\sqrt{2}}{2}Fr$
• C. $\frac{3+\sqrt{2}}{2}Fr$
• D. $\frac{5}{2}Fr$
• E. $\frac{7}{2}Fr$

Tri-circular device with tangential forces

Topic: Rigid Body Statics, Rotational Dynamics Metodi: Torque & Angular Momentum Analysis, Vector Decomposition Competenze: Mathematical Modeling, Diagrammatic 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 in the Member States.

Nel circuito rappresentato in figura, quale valore si legge sul voltmetro, supposto di poterlo trattare come ideale?

• A. $10\text{V}$
• B. $20\text{V}$
• C. $30\text{V}$
• D. $40\text{V}$
• E. $60\text{V}$

Circuito con voltmetro ideale

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Diagrammatic Reasoning, Mathematical Modeling Objects: Resistor, Battery Fonte: Testo (PDF) — p.6 Risposta: D · Soluzioni (PDF)

In the circuit shown in the figure, what value is the voltmeter, supposedly able to treat it as ideal?

• A. $10\text{V}$
• B. $20\text{V}$
• C. $30\text{V}$
• D. $40\text{V}$
• E. $60\text{V}$

The following table shows the results of the calculations:

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Diagrammatic Reasoning, Mathematical Modeling Objects: Resistor, Battery 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 due gusci sferici sottili e concentrici. Il guscio interno ha raggio $b$ e carica netta positiva $Q$ distribuita uniformemente. Il guscio esterno ha raggio $2b$ e la stessa carica netta $Q$ del guscio interno, anch’essa distribuita uniformemente.

Se $r$ è la distanza dal centro dei due gusci, in quale di questi punti il campo elettrico $\vec{E}$ ha intensità massima?

• A. in $r=0$, dove $E$ è infinito.
• B. in tutti i punti all’interno del guscio più piccolo, dove $E$ è costante.
• C. appena fuori dal guscio interno.
• D. appena fuori dal guscio esterno.
• E. molto lontano dai gusci, perché $E$ aumenta con la distanza.

Due gusci sferici concentrici di raggi b e 2b

Topic: Electrostatics Metodi: Gauss’s Law, Symmetry Argument Competenze: Physical Reasoning, Mathematical Modeling Objects: Sphere Fonte: Testo (PDF) — p.7 Risposta: C · Soluzioni (PDF)

The figure shows two concentric, thin spherical shells. The internal shell has a radius $b$ and a uniformly distributed net positive charge $Q$. The outer shell has a radius $2b$ and the same net load $Q$ as the inner shell, also evenly distributed.

If $r$ is the distance from the centre of the two shells, at which of these points does the electric field $\vec{E}$ have maximum intensity?

• A. in $r=0$, where $E$ is infinite.
• B. at all points within the smallest shell, where $E$ is constant.
• C. just outside the inner shell.
• **D ** just outside the outer shell.
• E. very far from the shells, because $E$ increases with distance.

Two concentric spherical shells of rays b and 2b

Topic: Electrostatics Metodi: Gauss’s Law, Symmetry Argument Competenze: Physical Reasoning, Mathematical Modeling Objects: Sphere Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Un carrellino si muove su di un piano orizzontale verso destra, rallentando.

Quale diagramma di corpo libero può descrivere le forze che agiscono sul carrellino?

5 diagrammi di corpo libero per carrellino in frenata

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Cart Fonte: Testo (PDF) — p.7 Risposta: B · Soluzioni (PDF)

A trailer moves horizontally to the right, slowing down.

What free-body diagram can describe the forces acting on the cart?

*5 free body diagrams for brake train *

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Cart Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Si osserva che la velocità di un’onda superficiale raddoppia quando passa da un fondale basso a uno più alto.

La sua lunghezza d’onda

• A. si riduce a un quarto.
• B. si riduce alla metà.
• C. rimane invariata.
• D. raddoppia.
• E. quadruplica. Topic: Oscillations & Waves Metodi: Wave Equation, Physical Modeling Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.7 Risposta: D · Soluzioni (PDF)

It is observed that the speed of a surface wave doubles when it passes from a low to a higher bottom.

Its wavelength

• **A ** is reduced to a quarter.
• B. is reduced by half.
• **C ** remains unchanged.
• **D ** is doubled.
• **E ** four times. Topic: Oscillations & Waves Metodi: Wave Equation, Physical Modeling Competenze: Physical Reasoning, Mathematical Modeling 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.

Si vuole determinare la resistenza del resistore $R$ nel circuito in figura misurando l’intensità di corrente erogata dalla batteria. Questa corrente è $1\text{A}$.

Se la resistenza interna della batteria è trascurabile, la resistenza $R$ è

• A. $3\Omega$
• B. $4\Omega$
• C. $10\Omega$
• D. $12\Omega$
• E. $18\Omega$

Circuito con resistore R incognito

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Diagrammatic Reasoning, Mathematical Modeling Objects: Resistor, Battery, Wire Fonte: Testo (PDF) — p.7 Risposta: A · Soluzioni (PDF)

The resistance of the $R$ resistor in the circuit in the figure is to be determined by measuring the current intensity delivered by the battery. This current is $1\text{A}$.

If the internal resistance of the battery is negligible, the resistance $R$ is

• A. $3\Omega$
• B. $4\Omega$
• C. $10\Omega$
• D. $12\Omega$
• E. $18\Omega$

*R-resistant circuit with unknown *

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Diagrammatic Reasoning, Mathematical Modeling Objects: Resistor, Battery, Wire 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 muro di una stanza è lungo $5\text{m}$, alto $3\text{m}$ e spesso $30\text{cm}$. Il coefficiente di conducibilità termica del muro è $k=0,6{\text{W m}}^{-1}{\text{K}}^{-1}$. La temperatura interna della stanza è di $20^{\circ }\text{C}$ e la temperatura esterna è di $0^{\circ }\text{C}$.

Quanto vale la potenza termica $P$ che attraversa il muro?

• A. $P=54\text{W}$
• B. $P=60\text{W}$
• C. $P=150\text{W}$
• D. $P=600\text{W}$
• E. $P=8790\text{W}$ Topic: Thermodynamics Metodi: Physical Modeling, Dimensional Analysis Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.7 Risposta: D · Soluzioni (PDF)

A wall in a room is $5\text{m}$ long, $3\text{m}$ high and often $30\text{cm}$. The coefficient of thermal conductivity of the wall is $k=0,6{\text{W m}}^{-1}{\text{K}}^{-1}$. The internal temperature of the room is $20^{\circ }\text{C}$ and the external temperature is $0^{\circ }\text{C}$.

Quanto vale la potenza termica $P$ che attraversa il muro?

• A. $P=54\text{W}$
• B. $P=60\text{W}$
• C. $P=150\text{W}$
• D. $P=600\text{W}$
• E. $P=8790\text{W}$ Topic: Thermodynamics Metodi: Physical Modeling, Dimensional Analysis Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.7 Risposta: D · Soluzioni (PDF)

In una frenata di emergenza, che arresta un’auto, l’energia cinetica diminuisce di $3\times 10^5\text{J}$.

Se la massa dell’auto è pari a $1,5\times 10^3\text{kg}$, qual è la velocità dell’auto quando inizia la frenata?

• A. $20\text{km/h}$
• B. $36\text{km/h}$
• C. $50\text{km/h}$
• D. $72\text{km/h}$
• E. $90\text{km/h}$ Topic: Newtonian Mechanics, Conservation of Energy Metodi: Energy Conservation Method, Kinematic Equations Competenze: Mathematical Modeling, Unit Conversion Objects: — Fonte: Testo (PDF) — p.8 Risposta: D · Soluzioni (PDF)

In an emergency brake, which stops a car, the kinetic energy decreases by $3\times 10^5\text{J}$.

If the mass of the car is $1,5\times 10^3\text{kg}$, what is the speed of the car when the brake starts?

• A. $20\text{km/h}$
• B. $36\text{km/h}$
• C. $50\text{km/h}$
• D. $72\text{km/h}$
• E. $90\text{km/h}$ Topic: Newtonian Mechanics, Conservation of Energy Metodi: Energy Conservation Method, Kinematic Equations Competenze: Mathematical Modeling, Unit Conversion Objects: — Fonte: Testo (PDF) — p.8 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Oggi il tradizionale termometro a mercurio, che era molto usato per misurare la «febbre», è stato praticamente sostituito da due tipi di termometri digitali: il termometro digitale a bulbo e il termometro all’infrarosso.

Rispetto al termometro digitale a bulbo, il secondo tipo di termometro …

1 – non richiede il contatto con il paziente perché misura la temperatura a distanza, grazie ai raggi infrarossi. 2 – non richiede un trasferimento di energia dal corpo del paziente al termometro. 3 – ha una risposta più lenta perché è più voluminoso e quindi ha una maggiore capacità termica.

Quali di queste affermazioni sono corrette?

• A. Solo la 1.
• B. Solo la 3.
• C. La 1 e la 2.
• D. La 2 e la 3.
• E. Tutte e tre. Topic: Thermodynamics, Modern-Quantum Physics Metodi: Physical Modeling, Photon Energy Relation Competenze: Physical Reasoning, Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.8 Risposta: A · Soluzioni (PDF)

Today the traditional mercury thermometer, which was widely used to measure the temperature, has been virtually replaced by two types of digital thermometers: the bulb thermometer and the infrared thermometer.

Compared to the digital bulb thermometer, the second type of thermometer …

1 does not require contact with the patient because it measures the temperature remotely, thanks to infrared rays. 2 does not require a transfer of energy from the patient’s body to the thermometer. 3 has a slower response because it is more voluminous and therefore has a higher thermal capacity.

Which of these statements is correct?

• **A ** Only the 1.
• B. Only the 3.
• C. La 1 e la 2.
• D. La 2 e la 3.
• All three. Topic: Thermodynamics, Modern-Quantum Physics Metodi: Physical Modeling, Photon Energy Relation Competenze: Physical Reasoning, Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.8 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Un ciclista accelera da fermo per $10\text{s}$ fino alla velocità di $5{\text{m s}}^{-1}$. In $5\text{s}$ un automobilista accelera dalla velocità di $22{\text{m s}}^{-1}$ alla velocità di $27{\text{m s}}^{-1}$.

Il rapporto tra l’accelerazione media del ciclista e quella dell’automobilista risulta pari a

• A. $1/4$
• B. $1/2$
• C. $1$
• D. $2$
• E. $4$ Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 Risposta: B · Soluzioni (PDF)

A cyclist accelerates from stop to $10\text{s}$ to $5{\text{m s}}^{-1}$. In $5\text{s}$ a driver accelerates from the speed of $22{\text{m s}}^{-1}$ to the speed of $27{\text{m s}}^{-1}$.

The ratio of the average acceleration of the cyclist to the motorist is equal to

• A. $1/4$
• B. $1/2$
• C. $1$
• D. $2$
• E. $4$ Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Sono disponibili due lenti, una convergente di focale $+10\text{cm}$ e una divergente di focale $-20\text{cm}$.

In quale delle seguenti situazioni si produce un’immagine reale e più piccola dell’oggetto?

• A. L’oggetto è posto a $5\text{cm}$ dalla lente convergente.
• B. L’oggetto è posto a $15\text{cm}$ dalla lente convergente.
• C. L’oggetto è posto a $25\text{cm}$ dalla lente convergente.
• D. L’oggetto è posto a $15\text{cm}$ dalla lente divergente.
• E. L’oggetto è posto a $25\text{cm}$ dalla lente divergente. Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation, Ray Tracing Competenze: Mathematical Modeling, Physical Reasoning Objects: Lens Fonte: Testo (PDF) — p.8 Risposta: C · Soluzioni (PDF)

Two lenses are available, one convergent $+10\text{cm}$ focal length and one divergent $-20\text{cm}$ focal length.

In which of the following situations is a real, smaller image of the object produced?

• A. The object is positioned at $5\text{cm}$ by the convergent lens.
• B. The object is positioned at $15\text{cm}$ by the convergent lens.
• C. The object is positioned at $25\text{cm}$ by the convergent lens.
• D. The object is positioned at $15\text{cm}$ by the divergent lens.
• E. The object is positioned at $25\text{cm}$ by the divergent lens. Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation, Ray Tracing Competenze: Mathematical Modeling, Physical Reasoning Objects: Lens Fonte: Testo (PDF) — p.8 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Un nuotatore in acqua ferma sviluppa una velocità di $1{\text{m s}}^{-1}$. L’atleta desidera passare da una riva all’altra di un fiume seguendo una traiettoria perpendicolare alle sponde. L’acqua del fiume ha una velocità di $0,5{\text{m s}}^{-1}$.

Per raggiungere il suo obiettivo il nuotatore deve mantenere un orientamento

• A. $\arctan (1/2)$, controcorrente
• B. $\arcsin (1/2)$, controcorrente
• C. perpendicolare alle rive
• D. $\arcsin (1/2)$, nel verso della corrente
• E. $\arctan (1/2)$, nel verso della corrente Topic: Newtonian Mechanics Metodi: Vector Decomposition, Kinematic Equations Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 Risposta: B · Soluzioni (PDF)

A swimmer in still water develops a speed of $1{\text{m s}}^{-1}$. The athlete wishes to cross a river from one bank to the other by following a path perpendicular to the banks. The river water has a speed of $0,5{\text{m s}}^{-1}$.

To achieve his goal the swimmer must maintain a

• **A ** $\arctan (1/2)$, counter current
• **B ** $\arcsin (1/2)$, countercurrent
• C. perpendicular to the edges
• D. $\arcsin (1/2)$, in the direction of current
• E. $\arctan (1/2)$, in the direction of current Topic: Newtonian Mechanics Metodi: Vector Decomposition, Kinematic Equations Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Due fermagli sono attaccati alle estremità di un filo di cotone fissato a un tavolo, e sono sospesi sotto le estremità di un magnete a ferro di cavallo.

In quale figura sono rappresentate correttamente le polarità magnetiche indotte nei fermagli?

4 opzioni di polarità indotte nei fermagli sotto magnete

Topic: Magnetism Metodi: Physical Modeling, Symmetry Argument Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Magnet, String Fonte: Testo (PDF) — p.9 Risposta: B · Soluzioni (PDF)

Two stoppers are attached to the ends of a cotton thread attached to a table, and are suspended under the ends of a horse-iron magnet.

In which figure are the magnetic polarities induced in the stoppers correctly represented?

4 polarity options induced in magnetic stoppers

Topic: Magnetism Metodi: Physical Modeling, Symmetry Argument Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: Magnet, String 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’onda luminosa che si propaga nell’acqua ha una frequenza di $5,0\times 10^{14}\text{Hz}$.

Qual è la sua lunghezza d’onda?

• A. $451\text{nm}$
• B. $600\text{nm}$
• C. $798\text{nm}$
• D. $451\mu \text{m}$
• E. $600\mu \text{m}$ Topic: Oscillations & Waves, Geometric Optics Metodi: Wave Equation, Snell’s Law Competenze: Mathematical Modeling, Unit Conversion Objects: — Fonte: Testo (PDF) — p.9 Risposta: A · Soluzioni (PDF)

A light wave propagating in water has a frequency of $5,0\times 10^{14}\text{Hz}$.

What’s its wavelength?

• A. $451\text{nm}$
• B. $600\text{nm}$
• C. $798\text{nm}$
• D. $451\mu \text{m}$
• E. $600\mu \text{m}$ Topic: Oscillations & Waves, Geometric Optics Metodi: Wave Equation, Snell’s Law Competenze: Mathematical Modeling, Unit Conversion Objects: — Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Un bambino di massa $m$ sta in piedi sul bordo di una piccola giostra che ha momento di inerzia $I$ e raggio $R$. Mentre la giostra ruota a velocità angolare $\omega$, a un certo istante, come mostrato in figura, con un salto il bimbo abbandona la giostra con una velocità tangenziale $\vec{v}$ rispetto al terreno.

La velocità angolare della giostra, subito dopo il salto a terra del bambino, vale

• A. $\omega$
• B. $\frac{\sqrt{I{\omega }^2-m{v}^2}}{\sqrt{I+m{R}^2}}$
• C. $\frac{\sqrt{(I+m{R}^2){\omega }^2-m{v}^2}}{I}$
• D. $\frac{I\omega -mvR}{I}$
• E. $\frac{(I+m{R}^2)\omega -mvR}{I}$

Bambino che salta dalla giostra rotante

Topic: Rotational Dynamics, Conservation of Momentum Metodi: Torque & Angular Momentum Analysis, Conservation of Momentum Competenze: Mathematical Modeling, Physical Reasoning Objects: Disk Fonte: Testo (PDF) — p.9 Risposta: E · Soluzioni (PDF)

A mass $m$ baby is standing on the edge of a small cradle that has moment of inertia $I$ and radius $R$. As the geyser rotates at $\omega$ angular velocity, at a certain moment, as shown in the figure, with a jump the baby leaves the geyser at a tangential velocity $\vec{v}$ with respect to the ground.

The angular velocity of the gear, immediately after the child jumps to the ground, is

• A. $\omega$
• B. $\frac{\sqrt{I{\omega }^2-m{v}^2}}{\sqrt{I+m{R}^2}}$
• C. $\frac{\sqrt{(I+m{R}^2){\omega }^2-m{v}^2}}{I}$
• D. $\frac{I\omega -mvR}{I}$
• E. $\frac{(I+m{R}^2)\omega -mvR}{I}$

*Child jumping from the rotating gear *

Topic: Rotational Dynamics, Conservation of Momentum Metodi: Torque & Angular Momentum Analysis, Conservation of Momentum Competenze: Mathematical Modeling, Physical Reasoning Objects: Disk Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Un gas viene riscaldato da $160^{\circ }\text{C}$ a $240^{\circ }\text{C}$.

Di quanto varia percentualmente il valore quadratico medio della quantità di moto delle sue molecole?

• A. $0\%$
• B. $9\%$
• C. $18\%$
• D. $25\%$
• E. $50\%$ Topic: Kinetic Theory, Thermodynamics Metodi: Kinetic Theory of Gases, Statistical Averaging Competenze: Mathematical Modeling, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.9 Risposta: B · Soluzioni (PDF)

A gas is heated from $160^{\circ }\text{C}$ to $240^{\circ }\text{C}$.

How much percent does the average square value of the amount of motion of its molecules vary?

• A. $0\%$
• B. $9\%$
• C. $18\%$
• D. $25\%$
• E. $50\%$ Topic: Kinetic Theory, Thermodynamics Metodi: Kinetic Theory of Gases, Statistical Averaging Competenze: Mathematical Modeling, Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Una lastra conduttrice infinita di spessore $2\text{cm}$ è immersa in un campo elettrico uniforme di intensità $E=400{\text{V m}}^{-1}$ diretto da sinistra a destra. $2\text{cm}$ a destra della lastra il potenziale ha valore nullo: $V_0=0$.

Quanto vale il potenziale $V_3$, in un punto a $3\text{cm}$ a sinistra della lastra?

• A. $-28\text{V}$
• B. $-20\text{V}$
• C. $+12\text{V}$
• D. $+20\text{V}$
• E. $+28\text{V}$

Lastra conduttrice in campo elettrico uniforme

Topic: Electrostatics Metodi: Electric Potential Method, Gauss’s Law Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.9 Risposta: D · Soluzioni (PDF)

An infinite conductive plate of $2\text{cm}$ thickness is immersed in a uniform electric field of $E=400{\text{V m}}^{-1}$ intensity directed from left to right. $2\text{cm}$ to the right of the plate the potential has zero value: $V_0=0$.

What is the potential $V_3$ at a point at $3\text{cm}$ to the left of the plate?

• A. $-28\text{V}$
• B. $-20\text{V}$
• C. $+12\text{V}$
• D. $+20\text{V}$
• E. $+28\text{V}$

Wide sheet in uniform electric field

Topic: Electrostatics Metodi: Electric Potential Method, Gauss’s Law Competenze: Mathematical Modeling, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.9 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Si applica una forza di $10\text{N}$ a una molla; questa assume una lunghezza di $45\text{cm}$ e l’energia in essa immagazzinata è di $1\text{J}$.

Quanto vale la lunghezza a riposo della molla?

• A. $0\text{cm}$
• B. $25\text{cm}$
• C. $35\text{cm}$
• D. $44,8\text{cm}$
• E. $50\text{cm}$ SSD da 256 GB con dimensioni fisiche

Topic: Newtonian Mechanics, Oscillations & Waves Metodi: Hooke’s Law, Energy Conservation Method Competenze: Mathematical Modeling, Physical Reasoning Objects: Spring Fonte: Testo (PDF) — p.10 Risposta: B · Soluzioni (PDF)

A force of $10\text{N}$ is applied to a spring; this takes on a length of $45\text{cm}$ and the energy stored in it is $1\text{J}$.

How much is the length of the spring at rest?

• A. $0\text{cm}$
• B. $25\text{cm}$
• C. $35\text{cm}$
• D. $44,8\text{cm}$
• E. $50\text{cm}$ The following table summarizes the data of the data subject:

Topic: Newtonian Mechanics, Oscillations & Waves Metodi: Hooke’s Law, Energy Conservation Method Competenze: Mathematical Modeling, Physical Reasoning Objects: Spring Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Una forza di $3\text{N}$ e una di $4\text{N}$ sono applicate nello stesso punto.

Quale tra le forze sotto elencate, se applicata allo stesso punto, non può equilibrarle?

• A. $1\text{N}$
• B. $2\text{N}$
• C. $4\text{N}$
• D. $7\text{N}$
• E. $9\text{N}$ Topic: Newtonian Mechanics Metodi: Vector Decomposition, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.10 Risposta: E · Soluzioni (PDF)

A force of $3\text{N}$ and a force of $4\text{N}$ shall be applied at the same point.

Which of the following forces, if applied at the same point, cannot balance them?

• A. $1\text{N}$
• B. $2\text{N}$
• C. $4\text{N}$
• D. $7\text{N}$
• E. $9\text{N}$ Topic: Newtonian Mechanics Metodi: Vector Decomposition, Free-Body Diagram Competenze: Physical Reasoning, Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States of the European Union.

Quale tra questi diagrammi rappresenta meglio il percorso di un raggio di luce che attraversa i due materiali mostrati?

5 opzioni A–E di rifrazione a interfaccia tra due materiali

Topic: Geometric Optics, Wave Optics Metodi: Snell’s Law, Ray Tracing Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.10 Risposta: B · Soluzioni (PDF)

Which of these diagrams best represents the path of a beam of light passing through the two materials shown?

5 AE options for interfacing refraction between two materials

Topic: Geometric Optics, Wave Optics Metodi: Snell’s Law, Ray Tracing Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Nel mezzo del cammin di nostra vita mi ritrovai per una selva oscura, che la diritta via era smarrita.

Sono questi i primi dei 14233 versi endecasillabi che compongono la Divina Commedia. Nel 2021 si celebra il settimo centenario della morte del suo autore, Dante Alighieri.

L’intera Divina Commedia è memorizzata su un moderno disco fisso allo stato solido (SSD) da 256 GB che può avere una dimensione di $40\text{mm}\times 20\text{mm}\times 2\text{mm}$.

Se ogni carattere è codificato con un byte (B), quale tra le seguenti è una buona stima del volume necessario a contenere per intero questa opera di Dante?

• A. $100{\text{cm}}^3$
• B. $0,1{\text{cm}}^3$
• C. $1{\text{mm}}^3$
• D. $0,001{\text{mm}}^3$
• E. $1\mu {\text{m}}^3$ Topic: Order-of-Magnitude Estimation, Modern-Quantum Physics Metodi: Order-of-Magnitude Estimation, Dimensional Analysis Competenze: Estimation & Approximation, Unit Conversion Objects: — Fonte: Testo (PDF) — p.10 Risposta: D · Soluzioni (PDF)

In the middle of our life’s journey I found myself in a dark jungle, that the right way was lost.

These are the first of the 14233 indescribed verses that make up the Divine Comedy. In 2021 the seventh centenary of the death of its author, Dante Alighieri, is celebrated.

The entire Divine Comedy is stored on a modern 256 GB solid-state drive (SSD) that can have a size of $40\text{mm}\times 20\text{mm}\times 2\text{mm}$.

If each character is encoded with a byte (B), which of the following is a good estimate of the volume needed to contain this work of Dante in its entirety?

• A. $100{\text{cm}}^3$
• B. $0,1{\text{cm}}^3$
• C. $1{\text{mm}}^3$
• D. $0,001{\text{mm}}^3$
• E. $1\mu {\text{m}}^3$ Topic: Order-of-Magnitude Estimation, Modern-Quantum Physics Metodi: Order-of-Magnitude Estimation, Dimensional Analysis Competenze: Estimation & Approximation, Unit Conversion Objects: — Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.