OII 2020 1° Livello Quiz

Una palla viene lasciata cadere da ferma e tocca il suolo con velocità $20\mathrm{m}{\mathrm{s}}^{-1}$.

Supponendo di poter trascurare la resistenza dell’aria, il tempo di volo è circa

(A) $0,25\mathrm{s}$ (B) $0,5\mathrm{s}$ (C) $1\mathrm{s}$ (D) $2\mathrm{s}$ (E) $10\mathrm{s}$

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

A ball is dropped from a standstill and touches the ground at $20\mathrm{m}{\mathrm{s}}^{-1}$ speed.

Assuming you can ignore the air resistance, the flight time is approximately

(A) $0,25\mathrm{s}$ (B) $0,5\mathrm{s}$ (C) $1\mathrm{s}$ (D) $2\mathrm{s}$ (E) $10\mathrm{s}$

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Physical Reasoning Objects: Ball Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the common fisheries policy.

Una carica puntiforme $Q$ è posta al centro di un guscio sferico di materiale conduttore, rappresentato in figura dalla parte scura. Una carica $-q$ viene depositata sul guscio.

In condizioni di equilibrio, le intensità del campo elettrico nei punti $P_1$ e $P_2$, a distanza rispettivamente uguale a $r_1$ ed $r_2$ dal centro, valgono

	$E(P_1)$	$E(P_2)$
(A)	$0$	$0$
(B)	$kQ/r_1^2$	$0$
(C)	$k(Q-q)/r_1^2$	$0$
(D)	$0$	$k(Q-q)/r_2^2$
(E)	$kQ/r_1^2$	$k(Q-q)/r_2^2$

Spherical shell with charge Q and points P1 P2

Topic: Electrostatics Metodi: Gauss’s Law, Symmetry Argument Competenze: Physical Reasoning Objects: Point Charge, Conducting Sphere Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

A pointed charge $Q$ is placed in the centre of a spherical shell of conductive material, as shown in the figure on the dark side. A charge $-q$ is deposited on the shell.

Under equilibrium conditions, the electric field intensities in $P_1$ and $P_2$, at a distance of $r_1$ and $r_2$ from the centre, respectively, are:

	$E(P_1)$	$E(P_2)$
(A)	$0$	$0$
(B)	$kQ/r_1^2$	$0$
(C)	$k(Q-q)/r_1^2$	$0$
(D)	$0$	$k(Q-q)/r_2^2$
(E)	$kQ/r_1^2$	$k(Q-q)/r_2^2$

Spherical shell with charge Q and points P1 P2

Topic: Electrostatics Metodi: Gauss’s Law, Symmetry Argument Competenze: Physical Reasoning Objects: Point Charge, Conducting Sphere 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 onde sinusoidali con la stessa lunghezza d’onda, frequenza e ampiezza si propagano nella stessa direzione, nello stesso verso e nello stesso mezzo. Esse sono sfasate di $\pi /2\mathrm{rad}$.

Rispetto alle onde che interferiscono, l’onda risultante avrà:

• A. stessa ampiezza e velocità ma diversa lunghezza d’onda.
• B. stessa ampiezza e lunghezza d’onda ma diversa velocità.
• C. stessa lunghezza d’onda e velocità ma diversa ampiezza.
• D. stessa ampiezza e frequenza ma diversa velocità.
• E. stessa frequenza e velocità ma diversa lunghezza d’onda. Topic: Oscillations & Waves Metodi: Superposition Principle Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Two sinusoidal waves of the same wavelength, frequency and amplitude propagate in the same direction, in the same direction and in the same medium. They are $\pi /2\mathrm{rad}$ stagnant.

Compared to the interfering waves, the resulting wave shall have:

• **A ** same width and speed but different wavelength.
• B. same width and wavelength but different speed.
• **C ** same wavelength and speed but different width.
• ** D ** same width and frequency but different speed.
• E. same frequency and speed but different wavelength. Topic: Oscillations & Waves Metodi: Superposition Principle Competenze: 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’asta di massa trascurabile è vincolata a ruotare su un piano orizzontale intorno ad un asse verticale passante per il suo centro. Sull’asta sono fissate due sferette identiche a distanza $r$ dall’asse, come mostrato in figura, in alto. Inizialmente il sistema ruota a velocità angolare $\omega$. Una delle due sferette viene poi spostata a distanza $r/2$ dall’asse di rotazione da una forza diretta lungo l’asta (v. figura in basso).

Qual è la nuova velocità angolare del sistema?

(A) $\omega /4$ (B) $\omega /2$ (C) $8\omega /5$ (D) $2\omega$ (E) $4\omega$

Rod with two balls, before and after shift

Topic: Rotational Dynamics Metodi: Conservation Laws, Torque & Angular Momentum Analysis Competenze: Physical Reasoning Objects: Rod, Sphere Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

A negligible mass axis is bound to rotate horizontally around a vertical axis passing through its center. Two identical spheres are fixed on the axis at $r$ as shown in the figure above. Initially the system shall rotate at angular speed $\omega$. One of the two spheres is then moved $r/2$ from the axis of rotation by a direct force along the axis (v. (see figure below).

What’s the new angular velocity of the system?

(A) $\omega /4$ (B) $\omega /2$ (C) $8\omega /5$ (D) $2\omega$ (E) $4\omega$

Rod with two balls, before and after shift

Topic: Rotational Dynamics Metodi: Conservation Laws, Torque & Angular Momentum Analysis Competenze: Physical Reasoning Objects: Rod, Sphere Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Una particella di carica positiva $q$ e massa $m$ descrive una traiettoria circolare di raggio $R$, perpendicolare a un campo magnetico uniforme. La frequenza di rotazione è $f$.

Qual è l’intensità del campo magnetico?

(A) $\frac{fm}{q}$ (B) $\frac{2\pi fm}{q}$ (C) $\frac{m}{2\pi fq}$ (D) $\frac{m}{qR}$ (E) $\frac{fm}{2\pi q}$

Topic: Magnetism Metodi: Lorentz Force Analysis Competenze: Physical Reasoning Objects: Point Charge Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

A positive charge particle $q$ and mass $m$ describes a circular trajectory of radius $R$ perpendicular to a uniform magnetic field. The rotation frequency is $f$.

What’s the intensity of the magnetic field?

(A) $\frac{fm}{q}$ (B) $\frac{2\pi fm}{q}$ (C) $\frac{m}{2\pi fq}$ (D) $\frac{m}{qR}$ (E) $\frac{fm}{2\pi q}$

Topic: Magnetism Metodi: Lorentz Force Analysis Competenze: Physical Reasoning Objects: Point Charge 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 come varia lo spostamento di un corpo al passare del tempo.

Quale riga della seguente tabella descrive correttamente il moto del corpo?

	moto da O a P	moto da P a Q
(A)	accelerazione costante non nulla	velocità nulla
(B)	accelerazione costante non nulla	velocità costante non nulla
(C)	velocità costante non nulla	velocità nulla
(D)	velocità nulla	velocità costante non nulla
(E)	velocità costante non nulla	accelerazione costante negativa

Displacement vs time graph with O, P, Q

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

The graph shows how the movement of a body varies over time.

Which line in the following table correctly describes the motion of the body?

♪ ♪ The motorcycle from O to P ♪ ♪ The motorcycle from P to Q ♪ |---|---|---| ♪ A] I’m going to be constantly accelerating ♪ ♪ nothing ♪ ♪ B ♪ I’m not getting any constant acceleration ♪ ♪ C] I’m running at a constant speed ♪ ♪ nothing ♪ ♪ D) I’m not moving at speed ♪ ♪ And I’m going at a constant speed, nothing ♪

Displacement vs time graph with O, P, Q

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Diagrammatic 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 figura è mostrato un oggetto alto $30\mathrm{mm}$ posizionato nel punto X a $600\mathrm{mm}$ dal centro di una lente sottile. (Nota: il disegno non è in scala.) L’immagine si forma nel punto Y ed è alta $15\mathrm{mm}$.

Qual è la lunghezza focale della lente?

(A) $150\mathrm{mm}$ (B) $200\mathrm{mm}$ (C) $300\mathrm{mm}$ (D) $450\mathrm{mm}$ (E) $600\mathrm{mm}$

Thin lens with object X and image Y

Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation, Ray Tracing Competenze: Mathematical Modeling Objects: Lens Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

The figure shows a high $30\mathrm{mm}$ object positioned in the X point at $600\mathrm{mm}$ from the centre of a thin lens. (Note: the drawing is not in scale.) The image is formed at the Y point and is $15\mathrm{mm}$ high.

What is the focal length of the lens?

(A) $150\mathrm{mm}$ (B) $200\mathrm{mm}$ (C) $300\mathrm{mm}$ (D) $450\mathrm{mm}$ (E) $600\mathrm{mm}$

Thin lens with object X and image Y

Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation, Ray Tracing Competenze: Mathematical Modeling Objects: Lens 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 bolletta della luce dei mesi di giugno e luglio 2019 del signor Luigi riporta $92\mathrm{kWh}$.

Tale consumo corrisponde a

(A) $26\mathrm{J}{\mathrm{s}}^{-2}$ (B) $9,2\times 10^4\mathrm{W}$ (C) $3,8\times 10^5\mathrm{J}$ (D) $3,3\times 10^8\mathrm{J}$ (E) $3,3\times 10^8\mathrm{J}{\mathrm{s}}^{-1}$

Topic: Newtonian Mechanics Metodi: Dimensional Analysis Competenze: Unit Conversion Objects: — Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

The light bill for the months of June and July 2019 by Mr Luigi reports $92\mathrm{kWh}$.

This consumption corresponds to

(A) $26\mathrm{J}{\mathrm{s}}^{-2}$ (B) $9,2\times 10^4\mathrm{W}$ (C) $3,8\times 10^5\mathrm{J}$ (D) $3,3\times 10^8\mathrm{J}$ (E) $3,3\times 10^8\mathrm{J}{\mathrm{s}}^{-1}$

Topic: Newtonian Mechanics Metodi: Dimensional Analysis Competenze: Unit Conversion Objects: — Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a Regulation (EC) on the common organisation of the market in electricity and gas.

Due oggetti di identica massa $m$ sono collegati da un filo che passa attraverso due carrucole, come mostrato in figura.

Supponendo trascurabili sia la massa del filo che l’attrito con le carrucole, quanto vale la tensione del filo nella situazione di equilibrio?

• A. Meno di $mg$
• B. $mg$
• C. Più di $mg$, ma meno di $2mg$
• D. $2mg$
• E. Più di $2mg$

Two equal masses connected via two pulleys

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Conservation of Energy Competenze: Physical Reasoning Objects: String, Pulley, Block Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

Two objects of the same mass $m$ are connected by a wire passing through two cartridges, as shown in Figure 1.

Assuming both the mass of the wire and the friction with the cartridges are negligible, how much is the tension of the wire in equilibrium?

• A. Less than $mg$
• B. $mg$
• C. More than $mg$ but less than $2mg$
• D. $2mg$
• E. More than $2mg$

Two equal masses connected via two pulleys

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Conservation of Energy Competenze: Physical Reasoning Objects: String, Pulley, 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.

Quale grafico rappresenta meglio la relazione tra la potenza elettrica $P$ e la corrente $I$ in un conduttore ohmico o resistore?

Five candidate P vs I graphs

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Diagrammatic Reasoning Objects: Resistor Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

Which graph best represents the relationship between the electric power $P$ and the current $I$ in an ohmic conductor or resistor?

The following table shows the results of the study:

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Diagrammatic Reasoning Objects: Resistor Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a Regulation (EC) on the common organisation of the market in electricity and gas.

Un veicolo di massa $m=1,6\times 10^3\mathrm{kg}$ percorre alla velocità di $28km/h$ una curva circolare di raggio $48\mathrm{m}$; il coefficiente d’attrito statico tra le gomme e l’asfalto è ${\mu }_a=0,65$.

Lungo il percorso si trova un tratto ghiacciato, dove il coefficiente d’attrito scende a ${\mu }_g=0,15$:

Qual è l’intensità della forza di attrito sulle ruote nel tratto ghiacciato?

• A. $2,35\times 10^2\mathrm{N}$
• B. $1,02\times 10^3\mathrm{N}$
• C. $2,02\times 10^3\mathrm{N}$
• D. $2,35\times 10^3\mathrm{N}$
• E. $1,02\times 10^4\mathrm{N}$

Vehicle on circular curved road

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

A vehicle of mass $m=1,6\times 10^3\mathrm{kg}$ shall run a circular curve of radius $48\mathrm{m}$ at $28km/h$ speed; the coefficient of static friction between the tyres and the asphalt shall be ${\mu }_a=0,65$.

Along the route there is an icy stretch where the friction coefficient drops to ${\mu }_g=0,15$:

What is the intensity of the friction force on the wheels in the icy stretch?

• A. $2,35\times 10^2\mathrm{N}$
• B. $1,02\times 10^3\mathrm{N}$
• C. $2,02\times 10^3\mathrm{N}$
• D. $2,35\times 10^3\mathrm{N}$
• E. $1,02\times 10^4\mathrm{N}$

Vehicle on circular curved road

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Kinematic Equations Competenze: Mathematical Modeling Objects: — 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.

Un uomo è in piedi su una bilancia pesa-persone elettronica dentro un ascensore in quiete rispetto a terra. La bilancia segna $90\mathrm{kg}$. Ad un istante successivo, $t$, la bilancia segna $100\mathrm{kg}$.

Quale delle alternative in tabella può essere corretta per la velocità e l’accelerazione dell’ascensore all’istante $t$?

	velocità	accelerazione
(A)	verso il basso	verso l’alto
(B)	verso il basso	verso il basso
(C)	verso l’alto	verso il basso
(D)	verso il basso	nulla
(E)	verso l’alto	nulla

Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.5 Risposta: A · Soluzioni (PDF)

A man is standing on an electronic weigh-in scale inside an elevator in relative calmness to the ground. The balance sheet shall be $90\mathrm{kg}$. At a later moment, $t$, the balance sheet is $100\mathrm{kg}$.

Which of the alternatives in the table can be corrected for the speed and acceleration of the elevator at the instant $t$?

♪ The speed ♪ The acceleration ♪ |---|---|---| ♪ A] I’m going down ♪ ♪ B ♪ Go down ♪ Go down ♪ ♪ I’m going up and down ♪ ♪ I’m going down ♪ ♪ Nothing ♪ ♪ And I’m going up ♪ ♪ Nothing ♪

Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: — 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 protection of the environment.

In un blog si legge che un inventore ha realizzato un innovativo motore termico che, funzionando tra le temperature di $90°\mathrm{C}$ e $500°\mathrm{C}$, ha un rendimento del $62\%$.

• A. È un motore eccellente.
• B. È un motore sicuramente troppo inquinante.
• C. È un motore dal rendimento simile ai comuni motori termici operanti tra le stesse temperature.
• D. È un motore molto scadente.
• E. È una fake news. Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis, First Law of Thermodynamics Competenze: Physical Reasoning, Estimation & Approximation Objects: Heat Engine Fonte: Testo (PDF) — p.5 Risposta: E · Soluzioni (PDF)

In a blog post, it is reported that an inventor has created an innovative heat engine that, operating between $90°\mathrm{C}$ and $500°\mathrm{C}$ temperatures, has a yield of $62\%$.

• MSK0/>A. It is an excellent engine.
• It’s definitely too polluting an engine.
• C. It is an engine with similar performance to common heat engines operating at the same temperatures.
• It’s a very poor engine.
• It’s a fake news. Topic: Thermodynamics Metodi: Thermodynamic Cycle Analysis, First Law of Thermodynamics Competenze: Physical Reasoning, Estimation & Approximation Objects: Heat Engine 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 common fisheries policy.

Una zanzara, volando sull’autostrada, va a sbattere contro il parabrezza di un camion e resta spiaccicata lì. Si indichino con $\Delta p_c$ e $F_c$ il modulo della variazione di quantità di moto del camion e della forza media applicata dal camion alla zanzara e, analogamente, con $\Delta p_z$ e $F_z$ il modulo della variazione di quantità di moto della zanzara e della forza media applicata dalla zanzara al camion.

Quale riga della tabella seguente è corretta?

	Intensità delle forze	Variazione di quantità di moto
(A)	$F_c>F_z$	$\Delta p_c<\Delta p_z$
(B)	$F_c>F_z$	$\Delta p_c>\Delta p_z$
(C)	$F_c>F_z$	$\Delta p_c=\Delta p_z$
(D)	$F_c=F_z$	$\Delta p_c>\Delta p_z$
(E)	$F_c=F_z$	$\Delta p_c=\Delta p_z$

Topic: Newtonian Mechanics, Conservation of Momentum Metodi: Impulse-Momentum Theorem, Conservation of Momentum Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.5 Risposta: E · Soluzioni (PDF)

A mosquito, flying on the highway, hits the windshield of a truck and stays there. The model of the change in the amount of engine power of the truck and the mean force applied by the truck to the mosquito shall be indicated by $\Delta p_c$ and $F_c$ and, likewise, the model of the change in the amount of engine power of the mosquito and the mean force applied by the mosquito to the truck shall be indicated by $\Delta p_z$ and $F_z$.

Which line in the following table is correct?

♪ The intensity of the force ♪ ♪ The variation in the amount of motion ♪ |---|---|---| |(A)| $F_c>F_z$ | $\Delta p_c<\Delta p_z$ | |(B)| $F_c>F_z$ | $\Delta p_c>\Delta p_z$ | |(C)| $F_c>F_z$ | $\Delta p_c=\Delta p_z$ | |(D)| $F_c=F_z$ | $\Delta p_c>\Delta p_z$ | |(E)| $F_c=F_z$ | $\Delta p_c=\Delta p_z$ |

Topic: Newtonian Mechanics, Conservation of Momentum Metodi: Impulse-Momentum Theorem, Conservation of Momentum Competenze: Physical Reasoning Objects: — 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 common fisheries policy.

Le molecole di un gas alla temperatura di $40°\mathrm{C}$ hanno un’energia cinetica media $E_c$.

Alla temperatura di $355°\mathrm{C}$ quanto vale, approssimativamente, l’energia cinetica media delle molecole?

(A) $2E_c$ (B) $4E_c$ (C) $9E_c$ (D) $30E_c$ (E) $80E_c$

Topic: Kinetic Theory Metodi: Kinetic Theory of Gases Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.6 Risposta: A · Soluzioni (PDF)

The molecules of a gas at $40°\mathrm{C}$ have an average kinetic energy of $E_c$.

At $355°\mathrm{C}$, what is the average kinetic energy of the molecules approximately?

(A) $2E_c$ (B) $4E_c$ (C) $9E_c$ (D) $30E_c$ (E) $80E_c$

Topic: Kinetic Theory Metodi: Kinetic Theory of Gases Competenze: Physical Reasoning Objects: Gas 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 protection of the environment.

Si consideri il trattore mostrato in figura (il disegno è in scala).

Quando il trattore si muove su una strada, qual è, approssimativamente, il rapporto tra la velocità angolare delle ruote anteriori e quella delle ruote posteriori?

(A) $3/8$ (B) $3/4$ (C) $1$ (D) $4/3$ (E) $8/3$

Tractor with front and rear wheels

Topic: Rotational Dynamics Metodi: Dimensional Analysis, Physical Modeling Competenze: Estimation & Approximation, Diagrammatic Reasoning Objects: Wheel Fonte: Testo (PDF) — p.6 Risposta: D · Soluzioni (PDF)

Consider the tractor shown in the figure (the drawing is in scale).

When the tractor moves on a road, what is the approximate ratio of the angular velocity of the front wheels to that of the rear wheels?

(A) $3/8$ (B) $3/4$ (C) $1$ (D) $4/3$ (E) $8/3$

Tractor with front and rear wheels

Topic: Rotational Dynamics Metodi: Dimensional Analysis, Physical Modeling Competenze: Estimation & Approximation, Diagrammatic Reasoning Objects: Wheel Fonte: Testo (PDF) — p.6 The Commission has also adopted a proposal for a Regulation (EC) on the common organisation of the market in electricity and gas.

Il tempo di dimezzamento di un particolare nuclide radioattivo è $6$ ore.

Quale frazione di un certo campione di quei nuclidi decade in un giorno?

(A) $\frac{1}{16}$ (B) $\frac{1}{4}$ (C) $\frac{1}{2}$ (D) $\frac{3}{4}$ (E) $\frac{15}{16}$

Topic: Nuclear & Particle Physics Metodi: Radioactive Decay Law Competenze: Mathematical Modeling Objects: Nucleus Fonte: Testo (PDF) — p.6 Risposta: E · Soluzioni (PDF)

The half-life of a particular radioactive nucleid is $6$ hours.

How much of a sample of those nuclei decays in a day?

(A) $\frac{1}{16}$ (B) $\frac{1}{4}$ (C) $\frac{1}{2}$ (D) $\frac{3}{4}$ (E) $\frac{15}{16}$

Topic: Nuclear & Particle Physics Metodi: Radioactive Decay Law Competenze: Mathematical Modeling Objects: Nucleus Fonte: Testo (PDF) — p.6 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the common fisheries policy.

Sono date una sbarretta magnetica disposta orizzontalmente e una bobina.

Quali delle seguenti azioni produce una forza elettromotrice indotta nella bobina?

1 – Avvicinare il magnete alla bobina. 2 – Allontanare la bobina dal magnete. 3 – Ruotare la bobina attorno al suo asse verticale.

(A) Solo la 1. (B) Solo la 2. (C) La 1 e la 2. (D) Solo la 3. (E) Tutte e tre.

Bar magnet approaching a coil

Topic: Electromagnetic Induction Metodi: Faraday’s Law of Induction, Lenz’s Law Competenze: Physical Reasoning Objects: Magnet, Coil Fonte: Testo (PDF) — p.6 Risposta: E · Soluzioni (PDF)

They were given a magnetic bar arranged horizontally and a coil.

Which of the following actions produces an electromotive force induced in the coil?

1 Approach the magnet to the coil. 2 Remove the coil from the magnet. 3 Rotate the coil around its vertical axis.

(A) Only the 1. (B) Only the second. (C) La 1 e la 2. (D) Only the third. (E) All three.

The following table shows the methodology used for calculating the value of the input coil.

Topic: Electromagnetic Induction Metodi: Faraday’s Law of Induction, Lenz’s Law Competenze: Physical Reasoning Objects: Magnet, Coil 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.

Una corda tesa fissata alle sue estremità vibra secondo la sua armonica fondamentale di frequenza $f$. All’istante $t=0$ la posizione della corda è quella rappresentata in figura e tutti i suoi punti sono al massimo spostamento dalla posizione di equilibrio.

Quale delle seguenti immagini rappresenta la posizione della corda al tempo $t=\frac{1}{4f}$?

Five candidate string positions at t=1/4f

Topic: Oscillations & Waves Metodi: Simple Harmonic Motion Analysis, Wave Equation Competenze: Diagrammatic Reasoning Objects: String Fonte: Testo (PDF) — p.6 Risposta: B · Soluzioni (PDF)

A string attached to its ends vibrates according to its fundamental frequency harmonic $f$. At the moment $t=0$ the position of the rope is that shown in Figure 1 and all its points are as far as possible from the equilibrium position.

Which of the following images represents the position of the rope at $t=\frac{1}{4f}$ time?

The following table shows the number of candidate positions in the list of candidate positions.

Topic: Oscillations & Waves Metodi: Simple Harmonic Motion Analysis, Wave Equation Competenze: Diagrammatic 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.

Un convoglio passa nel punto A di un binario delle montagne russe con velocità $v_A$.

Supponendo trascurabile l’attrito, il convoglio passerà nel punto B del binario ad un’altezza $h$ sopra il punto A con velocità

(A) $\sqrt{v_A^2-2gh}$ (B) $v_A-\sqrt{2gh}$ (C) $v_A-2gh$ (D) $v_A+\sqrt{2gh}$ (E) $\sqrt{v_A^2+2gh}$

Topic: Conservation of Energy Metodi: Energy Conservation Method Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.7 Risposta: A · Soluzioni (PDF)

A convoy passes through point A of a roller coaster at $v_A$ speed.

Assuming friction is negligible, the conveyor will pass through the track point B at a height $h$ above the A point at speed

(A) $\sqrt{v_A^2-2gh}$ (B) $v_A-\sqrt{2gh}$ (C) $v_A-2gh$ (D) $v_A+\sqrt{2gh}$ (E) $\sqrt{v_A^2+2gh}$

Topic: Conservation of Energy Metodi: Energy Conservation Method Competenze: 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.

Un solido cristallino si trova ad una temperatura inferiore al suo punto di fusione e viene riscaldato ad un tasso costante fino ad una temperatura superiore al suo punto di fusione.

Quale dei seguenti grafici rappresenta meglio l’andamento dell’energia cinetica media delle sue particelle, $K$, in funzione del calore fornito?

Five candidate K vs heat supplied graphs

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.7 Risposta: C · Soluzioni (PDF)

A crystalline solid is at a temperature below its melting point and is heated at a constant rate to a temperature above its melting point.

Which of the following graphs best represents the trend of the average kinetic energy of its particles, $K$, in relation to the heat supplied?

The following table shows the results of the calculation of the total energy consumption of the product:

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Diagrammatic 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.

Tre carrelli si trovano inizialmente su una rotaia a cuscino d’aria come indicato in figura: il carrello C è in moto con una velocità $v$ diretta verso sinistra, i carrelli A e B sono fermi. I carrelli B e C hanno massa $m$, la massa di A è $9m$. Tutti gli urti tra i carrelli sono elastici.

Alla fine della sequenza di urti quali sono i valori di $v_A$ e $v_C$?

• A. $v_A=0,2v$ verso sinistra e $v_C=0,8v$ verso destra
• B. $v_A=0,2v$ verso sinistra e $v_C=1,8v$ verso destra
• C. $v_A=0,5v$ verso sinistra e $v_C=0$
• D. $v_A=0,11v$ verso sinistra e $v_C=0$
• E. $v_A=v$ verso sinistra e $v_C=0$

Three carts A, B, C on air track

Topic: Conservation of Momentum, Conservation of Energy Metodi: Conservation of Momentum, Conservation of Energy Competenze: Mathematical Modeling Objects: Cart Fonte: Testo (PDF) — p.7 Risposta: A · Soluzioni (PDF)

Three carriages are initially located on an air cushion rail as shown in Figure: Carriage C is moving at a speed $v$ straight to the left, carriages A and B are stationary. The mass of the carts B and C is $m$, the mass of A is $9m$. All the bumps between the carts are elastic.

At the end of the impact sequence what are the values of $v_A$ and $v_C$?

• A. $v_A=0,2v$ to the left and $v_C=0,8v$ to the right
• B. $v_A=0,2v$ to the left and $v_C=1,8v$ to the right
• C. $v_A=0,5v$ to the left and $v_C=0$
• D. $v_A=0,11v$ to the left and $v_C=0$
• E. $v_A=v$ to the left and $v_C=0$

Three carts A, B, C on air track

Topic: Conservation of Momentum, Conservation of Energy Metodi: Conservation of Momentum, Conservation of Energy Competenze: Mathematical Modeling 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.

Una superficie metallica emette fotoelettroni quando viene illuminata con luce verde.

La stessa superficie emette sicuramente fotoelettroni se illuminata da luce

(A) arancione (B) blu (C) gialla (D) infrarossa (E) rossa

Topic: Modern-Quantum Physics Metodi: Photon Energy Relation Competenze: Physical Reasoning Objects: Photon, Electron Fonte: Testo (PDF) — p.7 Risposta: B · Soluzioni (PDF)

A metal surface emits photoelectrons when illuminated with green light.

The same surface will certainly emit photoelectrons when illuminated by light.

(A) orange (B) blue (C) yellow (D) infrared (E) red

Topic: Modern-Quantum Physics Metodi: Photon Energy Relation Competenze: Physical Reasoning Objects: Photon, Electron Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Un’asta omogenea di lunghezza $L$ e peso $P$ è sospesa orizzontalmente grazie a due fili come in figura. Il primo filo è attaccato a un’estremità dell’asta e il secondo a una distanza $L/3$ dall’altra estremità.

Il modulo della tensione del secondo filo è pari a

(A) $\frac{1}{4}P$ (B) $\frac{1}{2}P$ (C) $\frac{3}{4}P$ (D) $\frac{3}{2}P$ (E) $P$

Horizontal rod suspended by two strings

Topic: Rigid Body Statics Metodi: Torque & Angular Momentum Analysis, Free-Body Diagram Competenze: Mathematical Modeling Objects: Rod, String Fonte: Testo (PDF) — p.7 Risposta: C · Soluzioni (PDF)

A homogeneous axis of $L$ length and weight $P$ is suspended horizontally by means of two wires as shown in Figure 1. The first wire is attached to one end of the axle and the second at a distance $L/3$ from the other end.

The voltage of the second wire is equal to

(A) $\frac{1}{4}P$ (B) $\frac{1}{2}P$ (C) $\frac{3}{4}P$ (D) $\frac{3}{2}P$ (E) $P$

Horizontal rod suspended by two strings

Topic: Rigid Body Statics Metodi: Torque & Angular Momentum Analysis, Free-Body Diagram Competenze: Mathematical Modeling Objects: Rod, String Fonte: Testo (PDF) — p.7 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Sul fondo di una piccola piscina profonda $120\mathrm{cm}$ c’è una moneta.

Dove si forma l’immagine della moneta per un osservatore che si trova sulla verticale della moneta stessa, fuori dall’acqua?

• A. Sulla superficie dell’acqua
• B. $60\mathrm{cm}$ sotto la superficie dell’acqua
• C. $90\mathrm{cm}$ sotto la superficie dell’acqua
• D. $120\mathrm{cm}$ sotto la superficie dell’acqua
• E. $160\mathrm{cm}$ sotto la superficie dell’acqua Topic: Geometric Optics Metodi: Snell’s Law, Ray Tracing Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 Risposta: C · Soluzioni (PDF)

Sul fondo di una piccola piscina profonda $120\mathrm{cm}$ c’è una moneta.

Where does the image of the coin form for an observer standing on the coin’s own vertical, out of the water?

• A. On the surface of the water
• B. $60\mathrm{cm}$ below the surface of the water
• C. $90\mathrm{cm}$ below the surface of the water
• D. $120\mathrm{cm}$ below the surface of the water
• E. $160\mathrm{cm}$ below the surface of the water Topic: Geometric Optics Metodi: Snell’s Law, Ray Tracing Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 Risposta: C · Soluzioni (PDF)

Due resistori, uno da $100\Omega$ e uno incognito, sono collegati in serie ad una batteria da $10,0\mathrm{V}$.

Se la caduta di tensione ai capi del resistore da $100\Omega$ è di $4,0\mathrm{V}$, la resistenza del resistore incognito è

(A) $50,0\Omega$ (B) $66,7\Omega$ (C) $100\Omega$ (D) $150\Omega$ (E) $200\Omega$

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Mathematical Modeling Objects: Resistor, Battery Fonte: Testo (PDF) — p.8 Risposta: D · Soluzioni (PDF)

Two resistors, one from $100\Omega$ and one from incognito, are serial connected to a battery from $10,0\mathrm{V}$.

If the voltage drop to the resistor heads from $100\Omega$ is $4,0\mathrm{V}$, the resistor resistance of the unknown resistor is

(A) $50,0\Omega$ (B) $66,7\Omega$ (C) $100\Omega$ (D) $150\Omega$ (E) $200\Omega$

Topic: Circuits Metodi: Kirchhoff’s Laws, Equivalent Circuit Reduction Competenze: Mathematical Modeling Objects: Resistor, Battery 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 common fisheries policy.

Un oggetto di massa $m$ si muove su un piano orizzontale senza attrito con velocità iniziale $\vec{v}$. Si applica al corpo una forza costante $\vec{F}$, parallela alla velocità, che lo arresta in un tratto $d$.

Si considerino queste tre espressioni: $1:m{v}^2/(2d)2:2md/t^{2}3:mv/t$

Il modulo $F$ della forza può essere espresso correttamente …

• A. …solo dalla seconda espressione.
• B. …solo dalla terza espressione.
• C. …solo dalle prime due espressioni.
• D. …solo dalle ultime due espressioni.
• E. …da tutte e tre le espressioni. Topic: Newtonian Mechanics Metodi: Kinematic Equations, Dimensional Analysis Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.8 Risposta: E · Soluzioni (PDF)

An object of mass $m$ moves on a horizontal plane without friction at initial speed $\vec{v}$. A constant force $\vec{F}$ parallel to the speed is applied to the body, which stops it in a moment $d$.

Consider these three expressions: $1:m{v}^2/(2d)2:2md/t^{2}3:mv/t$

The force module $F$ can be correctly expressed as …

• A. … only from the second expression.
• B. … only from the third expression.
• C. … only from the first two expressions.
• **D ** … only from the last two expressions.
• E. … from all three expressions. Topic: Newtonian Mechanics Metodi: Kinematic Equations, Dimensional Analysis Competenze: 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 in the Member States.

Una molla che a riposo è lunga $50\mathrm{cm}$ viene allungata fino a $1\mathrm{m}$ appendendo le un peso. Durante il processo l’energia potenziale elastica della molla aumenta di $15\mathrm{J}$.

Quanto vale la costante elastica della molla?

(A) $15\mathrm{N}{\mathrm{m}}^{-1}$ (B) $30\mathrm{N}{\mathrm{m}}^{-1}$ (C) $60\mathrm{N}{\mathrm{m}}^{-1}$ (D) $120\mathrm{N}{\mathrm{m}}^{-1}$ (E) $240\mathrm{N}{\mathrm{m}}^{-1}$

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

A spring that is $50\mathrm{cm}$ long at rest is extended to $1\mathrm{m}$ by hanging it with a weight. During the process the spring’s elastic potential energy increases by $15\mathrm{J}$.

How much is the spring’s elastic constant worth?

(A) $15\mathrm{N}{\mathrm{m}}^{-1}$ (B) $30\mathrm{N}{\mathrm{m}}^{-1}$ (C) $60\mathrm{N}{\mathrm{m}}^{-1}$ (D) $120\mathrm{N}{\mathrm{m}}^{-1}$ (E) $240\mathrm{N}{\mathrm{m}}^{-1}$

Topic: Oscillations & Waves Metodi: Hooke’s Law, Energy Conservation Method Competenze: Mathematical Modeling Objects: Spring 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 common fisheries policy.

Come mostrato nella figura, una pallina metallica, sospesa da un filo isolante, è attratta da un’asta di materiale conduttore carica positivamente.

Durante il contatto con l’asta, la pallina…

• A. …perde elettroni.
• B. …guadagna elettroni.
• C. …perde protoni.
• D. …guadagna protoni.
• E. …non scambia carica.

Metal ball on string attracted to charged rod

Topic: Electrostatics Metodi: Coulomb’s Law Competenze: Physical Reasoning Objects: Ball, String Fonte: Testo (PDF) — p.8 Risposta: A · Soluzioni (PDF)

As shown in the figure, a metal ball suspended by an insulating wire is attracted by a positive-charged conductive material.

During the auction contact, the ball…

• MSK1/>A ** … loses electrons.
• **B ** … gains electrons.
• **C ** … loses protons.
• **D ** … gains protons.
• E. … does not change load.

Metal ball on string attracted to charged rod

Topic: Electrostatics Metodi: Coulomb’s Law Competenze: Physical Reasoning Objects: Ball, String Fonte: Testo (PDF) — p.8 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Se si potessero appoggiare uno sopra all’altro tutti gli smartphone attivi attualmente nel mondo, senza che nessuno di essi venga danneggiato, quale delle seguenti alternative si avvicina di più all’altezza della pila che si otterrebbe?

(A) $10^5\mathrm{m}$ (B) $10^7\mathrm{m}$ (C) $10^9\mathrm{m}$ (D) $10^{11}\mathrm{m}$ (E) $10^{13}\mathrm{m}$

Topic: Order-of-Magnitude Estimation Metodi: Order-of-Magnitude Estimation Competenze: Estimation & Approximation Objects: — Fonte: Testo (PDF) — p.8 Risposta: B · Soluzioni (PDF)

If all the smartphones currently in operation in the world could be supported one on top of the other without any of them being damaged, which of the following alternatives would be closer to the height of the battery you would get?

(A) $10^5\mathrm{m}$ (B) $10^7\mathrm{m}$ (C) $10^9\mathrm{m}$ (D) $10^{11}\mathrm{m}$ (E) $10^{13}\mathrm{m}$

Topic: Order-of-Magnitude Estimation Metodi: Order-of-Magnitude Estimation Competenze: 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.

Si applica una forza $\vec{F}$ per tener fermo un blocco di massa $m$ su un piano inclinato di un angolo $\theta$ (come mostrato in figura), che altrimenti scivolerebbe giù. La forza $\vec{F}$ è perpendicolare al piano inclinato.

Se $\mu$ è il coefficiente di attrito statico, qual è il minimo valore di $F$ per tenere fermo il blocco?

• A. $(mg/\mu )(\cos \theta -\mu \sin \theta )$
• B. $mg\cos \theta$
• C. $mg\sin \theta$
• D. $(mg/\mu )\sin \theta$
• E. $(mg/\mu )(\sin \theta -\mu \cos \theta )$

Block on inclined plane held by normal force

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Vector Decomposition Competenze: Mathematical Modeling Objects: Block, Inclined Plane Fonte: Testo (PDF) — p.9 Risposta: E · Soluzioni (PDF)

A force $\vec{F}$ is applied to hold a block of mass $m$ firmly on an inclined plane of an angle $\theta$ (as shown in Figure) which would otherwise slip downwards. The force $\vec{F}$ is perpendicular to the slope.

If $\mu$ is the static friction coefficient, what is the minimum value of $F$ to hold the block?

• A. $(mg/\mu )(\cos \theta -\mu \sin \theta )$
• B. $mg\cos \theta$
• C. $mg\sin \theta$
• D. $(mg/\mu )\sin \theta$
• E. $(mg/\mu )(\sin \theta -\mu \cos \theta )$

Block on inclined plane held by normal force

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Vector Decomposition Competenze: Mathematical Modeling Objects: Block, Inclined Plane 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.

In un biliardino, alle estremità dei tubi di acciaio che portano le sagome dei giocatori, sono fissate delle manopole di materiale plastico. Se una di queste va smontata, occorre sbloccarla e per questo vengono fatte tre proposte:

1 – Scaldare sia il tubo d’acciaio che la manopola di plastica. 2 – Raffreddare sia il tubo che la manopola. 3 – Scaldare solo la manopola, facendo ciò in modo che il tubo non si scaldi.

Tenendo conto che il coefficiente di dilatazione dell’acciaio è pari a $1,2\times 10^{-5}{\mathrm{K}}^{-1}$ e quello del materiale plastico è intorno a $10^{-4}{\mathrm{K}}^{-1}$, quale delle tre proposte precedenti può funzionare?

(A) Solo la 1. (B) Solo la 2. (C) Solo la 3. (D) Solo la 1 e la 3. (E) Solo la 2 e la 3.

Topic: Thermodynamics, Elasticity & Materials Metodi: Physical Modeling Competenze: Physical Reasoning Objects: Tube Fonte: Testo (PDF) — p.9 Risposta: D · Soluzioni (PDF)

In a pool, plastic handles are attached to the ends of the steel pipes carrying the players’ figures. If one of these is to be dismantled, it must be unlocked and for this reason three proposals are made:

1 Heat both the steel pipe and the plastic handle. 2 Cool both the pipe and the propeller. 3 Heat only the handle, so that the pipe does not heat up.

Given that the coefficient of dilation of steel is $1,2\times 10^{-5}{\mathrm{K}}^{-1}$ and that of plastic material is around $10^{-4}{\mathrm{K}}^{-1}$, which of the three previous proposals can work?

(A) Only the 1. (B) Only the second. (C) Only the third. (D) Only 1 and 3. (E) Only the 2 and 3.

Topic: Thermodynamics, Elasticity & Materials Metodi: Physical Modeling Competenze: Physical Reasoning Objects: Tube 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 common fisheries policy.

Il conducente di un’automobile suona il clacson poco prima di incrociare un attraversamento pedonale perché un pedone si è fermato a metà attraversamento.

Siano $f_c$ la frequenza del suono emessa dal clacson e $f_p$ quella percepita dal pedone.

Quale delle seguenti relazioni è valida?

(A) $\frac{f_p}{f_c}\le \frac{1}{2}$ (B) $\frac{1}{2}<\frac{f_p}{f_c}<1$ (C) $\frac{f_p}{f_c}=1$ (D) $1<\frac{f_p}{f_c}<2$ (E) $\frac{f_p}{f_c}\ge 2$

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

The driver of a car rings the horn just before crossing a pedestrian crossing because a pedestrian stopped halfway through.

The frequency of sound emitted by the horn shall be $f_c$ and the frequency of sound perceived by the pedestrian shall be $f_p$.

Which of the following reports is valid?

(A) $\frac{f_p}{f_c}\le \frac{1}{2}$ (B) $\frac{1}{2}<\frac{f_p}{f_c}<1$ (C) $\frac{f_p}{f_c}=1$ (D) $1<\frac{f_p}{f_c}<2$ (E) $\frac{f_p}{f_c}\ge 2$

Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Physical Reasoning 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 common fisheries policy.

Una carica elettrica di $-9\mu \mathrm{C}$ si trova inizialmente a una distanza di $1\mathrm{m}$ da una carica elettrica di $+4\mu \mathrm{C}$.

Quanto lavoro occorre fare per spostarla fino a $2\mathrm{m}$ di distanza dall’altra?

(A) $-0,324\mathrm{J}$ (B) $-0,081\mathrm{J}$ (C) $+0,162\mathrm{J}$ (D) $+0,243\mathrm{J}$ (E) $+0,486\mathrm{J}$

Topic: Electrostatics Metodi: Electric Potential Method, Coulomb’s Law Competenze: Mathematical Modeling Objects: Point Charge Fonte: Testo (PDF) — p.9 Risposta: C · Soluzioni (PDF)

An electrical charge of $-9\mu \mathrm{C}$ is initially located at a distance of $1\mathrm{m}$ from an electrical charge of $+4\mu \mathrm{C}$.

How much work does it take to move it to $2\mathrm{m}$ from the other?

(A) $-0,324\mathrm{J}$ (B) $-0,081\mathrm{J}$ (C) $+0,162\mathrm{J}$ (D) $+0,243\mathrm{J}$ (E) $+0,486\mathrm{J}$

Topic: Electrostatics Metodi: Electric Potential Method, Coulomb’s Law Competenze: Mathematical Modeling Objects: Point Charge 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 carrello di $15\mathrm{kg}$ si muove con velocità di modulo costante $0,8\mathrm{m}{\mathrm{s}}^{-1}$. Sul carrello agisce una forza $\vec{F}$ anch’essa di modulo costante $90\mathrm{N}$ e avente sempre la stessa direzione e lo stesso verso della velocità.

In un tempo di $10\mathrm{s}$, che lavoro viene fatto dalla forza $\vec{F}$?

(A) $0\mathrm{J}$ (B) $720\mathrm{J}$ (C) $1200\mathrm{J}$ (D) $3600\mathrm{J}$ (E) $7200\mathrm{J}$

Topic: Newtonian Mechanics Metodi: Energy Conservation Method, Kinematic Equations Competenze: Physical Reasoning Objects: Cart Fonte: Testo (PDF) — p.9 Risposta: B · Soluzioni (PDF)

A cart of $15\mathrm{kg}$ shall move at a constant speed of $0,8\mathrm{m}{\mathrm{s}}^{-1}$. The force $\vec{F}$ also acting on the cart is constantly $90\mathrm{N}$ and always has the same direction and the same speed.

In a time of $10\mathrm{s}$, what work is done by the force $\vec{F}$?

(A) $0\mathrm{J}$ (B) $720\mathrm{J}$ (C) $1200\mathrm{J}$ (D) $3600\mathrm{J}$ (E) $7200\mathrm{J}$

Topic: Newtonian Mechanics Metodi: Energy Conservation Method, Kinematic Equations Competenze: Physical Reasoning Objects: Cart 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 calciatore colpisce la palla ferma al suolo, dandole una velocità iniziale di $8,5\mathrm{m}{\mathrm{s}}^{-1}$ con un angolo di $35°$ rispetto al piano orizzontale, come mostrato in figura.

Che altezza massima raggiungerebbe la palla se si potessero trascurare gli effetti dovuti all’aria?

(A) $1,2\mathrm{m}$ (B) $2,5\mathrm{m}$ (C) $4,9\mathrm{m}$ (D) $8,5\mathrm{m}$ (E) $17\mathrm{m}$

Soccer ball kicked at 35° initial velocity

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Vector Decomposition Competenze: Mathematical Modeling Objects: Ball, Projectile Fonte: Testo (PDF) — p.10 Risposta: A · Soluzioni (PDF)

A player hits the ball firmly on the ground, giving it an initial speed of $8,5\mathrm{m}{\mathrm{s}}^{-1}$ at an angle of $35°$ to the horizontal plane, as shown in Figure 1.

What maximum height would the ball reach if the effects of the air could be overlooked?

(A) $1,2\mathrm{m}$ (B) $2,5\mathrm{m}$ (C) $4,9\mathrm{m}$ (D) $8,5\mathrm{m}$ (E) $17\mathrm{m}$

The first time I saw a soccer ball kicked at MSK0/> initial velocity

Topic: Newtonian Mechanics Metodi: Kinematic Equations, Vector Decomposition Competenze: Mathematical Modeling Objects: Ball, Projectile 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 protection of the environment.

In figura sono rappresentate le correnti in una porzione di circuito elettrico.

Che corrente misura l’amperometro A?

(A) $1\mathrm{A}$ (B) $2\mathrm{A}$ (C) $3\mathrm{A}$ (D) $8\mathrm{A}$ (E) $13\mathrm{A}$

Circuit junction with labeled currents and ammeter

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Diagrammatic Reasoning Objects: Wire Fonte: Testo (PDF) — p.10 Risposta: C · Soluzioni (PDF)

The current in a portion of an electrical circuit is shown in Figure 1.

What current does the A-amp?

(A) $1\mathrm{A}$ (B) $2\mathrm{A}$ (C) $3\mathrm{A}$ (D) $8\mathrm{A}$ (E) $13\mathrm{A}$

Circuit junction with labeled currents and ammeter

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Diagrammatic Reasoning Objects: Wire 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.

Su due corde tese, A e B, omogenee e identiche, si propagano delle onde elastiche; la tensione della corda A è $T$ mentre quella della corda B è il doppio.

Determinare il rapporto tra la velocità di propagazione delle onde sulla corda B e quella sulla corda A.

(A) 0.50 (B) 0.71 (C) 1.00 (D) 1.41 (E) 2.00

Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Mathematical Modeling Objects: String Fonte: Testo (PDF) — p.10 Risposta: D · Soluzioni (PDF)

On two strings, A and B, which are homogeneous and identical, elastic waves propagate; the tension of the A string is $T$ while that of the B string is doubled.

Determine the ratio of the wave propagation speed on rope B to that on rope A.

(A) 0.50 (B) 0.71 (C) 1.00 (D) 1.41 (E) 2.00

Topic: Oscillations & Waves Metodi: Wave Equation Competenze: Mathematical Modeling Objects: String Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a Regulation (EC) on the common organisation of the market in electricity and gas.

Una scatola di massa $M=7\mathrm{kg}$ è tirata a velocità costante su un piano orizzontale. Come mostrato in figura, la forza di trascinamento $\vec{F}$ forma un angolo $\theta =64°$ con l’orizzontale; il coefficiente d’attrito dinamico tra la scatola e il pavimento è $\mu =0,1$.

L’intensità della reazione normale esercitata dal piano è all’incirca

(A) $57\mathrm{N}$ (B) $69\mathrm{N}$ (C) $74\mathrm{N}$ (D) $80\mathrm{N}$ (E) $83\mathrm{N}$

Box pulled at 64° angle on horizontal surface

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Vector Decomposition Competenze: Mathematical Modeling Objects: Block Fonte: Testo (PDF) — p.10 Risposta: A · Soluzioni (PDF)

A box of $M=7\mathrm{kg}$ mass is pulled at a constant speed on a horizontal plane. As shown in Figure 1, the drag force $\vec{F}$ forms an angle $\theta =64°$ with the horizontal; the dynamic friction coefficient between the box and the floor is $\mu =0,1$.

The intensity of the normal reaction exerted by the plane is approximately

(A) $57\mathrm{N}$ (B) $69\mathrm{N}$ (C) $74\mathrm{N}$ (D) $80\mathrm{N}$ (E) $83\mathrm{N}$

Box pulled at angle on horizontal surface

Topic: Newtonian Mechanics Metodi: Free-Body Diagram, Vector Decomposition Competenze: Mathematical Modeling Objects: Block 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 protection of the environment.

Si considerino i seguenti passaggi di stato che avvengono a temperatura costante:

1: Da solido a liquido. 2: Da liquido a solido. 3: Da gas a liquido.

In quali di essi l’entropia della sostanza coinvolta diminuisce?

• A. Solo nel 1.
• B. Solo nel 2.
• C. Solo nel 3.
• D. Nel 2 e nel 3.
• E. In nessuno dei tre, perché l’entropia aumenta sempre. Topic: Thermodynamics Metodi: First Law of Thermodynamics, Physical Modeling Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.10 Risposta: D · Soluzioni (PDF)

The following stages of steady-state shall be considered:

One, from solid to liquid. Two: from liquid to solid. Three: from gas to liquid.

In which of these cases does the entropy of the substance involved decrease?

• A. Only in 1.
• B. Only in the second.
• **C ** Only in the third.
• D. In 2 and 3.
• In none of the three, because entropy always increases. Topic: Thermodynamics Metodi: First Law of Thermodynamics, Physical Modeling Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.10 The Commission has also adopted a proposal for a Regulation (EC) on the common organisation of the market in electricity and gas.