OII 2017 1° Livello Quiz

Q1. Una carabina ad aria compressa di massa $4.0\text{kg}$ spara piombini di massa $0.50\text{g}$ aventi una quantità di moto iniziale di modulo $100{\text{g m s}}^{-1}$. Si consideri trascurabile la forza con cui l’atleta tiene fermo il fucile rispetto a quella, impulsiva, dello sparo. Qual è, in modulo, la quantità di moto con cui rincula il fucile immediatamente dopo? A) $0.013{\text{g m s}}^{-1}$; B) $0.025{\text{g m s}}^{-1}$; C) $100{\text{g m s}}^{-1}$; D) $200{\text{g m s}}^{-1}$; E) $800{\text{kg m s}}^{-1}$.

circuito con condensatore e interruttore

Topic: Conservation of Momentum Metodi: Conservation of Momentum Competenze: Physical Reasoning Objects: Projectile Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

A mass $4.0\text{kg}$ compressed air rifle fires mass $0.50\text{g}$ lead shot with an initial engine quantity of $100{\text{g m s}}^{-1}$. Consider the force with which the athlete holds the rifle relative to the impulsive force of the shot to be negligible. What is the amount of motorcycle in the form that the rifle is fired with immediately afterwards? A) $0.013{\text{g m s}}^{-1}$; B) $0.025{\text{g m s}}^{-1}$; C) $100{\text{g m s}}^{-1}$; D) $200{\text{g m s}}^{-1}$; E) $800{\text{kg m s}}^{-1}$.

capacitor and switch circuit

Topic: Conservation of Momentum Metodi: Conservation of Momentum Competenze: Physical Reasoning Objects: Projectile Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organisation of the market in milk and milk products.

Q2. Una forza $F=180\text{N}$ è applicata verticalmente verso l’alto a un blocco di massa $m=15\text{kg}$. L’accelerazione del blocco è circa… A) $2.2{\text{m s}}^{-2}$; B) $7.6{\text{m s}}^{-2}$; C) $9.8{\text{m s}}^{-2}$; D) $12.0{\text{m s}}^{-2}$; E) $19.6{\text{m s}}^{-2}$.

Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: Block Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

Q2. A force $F=180\text{N}$ is applied vertically upwards to a mass block $m=15\text{kg}$. The acceleration of the blockage is about… A) $2.2{\text{m s}}^{-2}$; B) $7.6{\text{m s}}^{-2}$; C) $9.8{\text{m s}}^{-2}$; D) $12.0{\text{m s}}^{-2}$; E) $19.6{\text{m s}}^{-2}$.

Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: Block Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q3. Quale grafico rappresenta meglio la relazione fra le resistenze e le lunghezze di diversi fili di rame di uguale sezione, alla stessa temperatura? [Cinque grafici A–E; $R=\rho \ell /S$, retta per l’origine.]

Topic: Circuits Metodi: Graph Linearization Competenze: Diagrammatic Reasoning Objects: Wire, Resistor Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

Q3. Which graph best represents the relationship between the resistance and lengths of different copper strands of the same section at the same temperature? [Five AE graphs; $R=\rho \ell /S$, true to the origin.]

Topic: Circuits Metodi: Graph Linearization Competenze: Diagrammatic Reasoning Objects: Wire, 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.

Q4. Le figure rappresentano un pendolo in un punto durante la sua oscillazione; la freccia rappresenta il vettore accelerazione in quel punto. Quale figura rappresenta il vettore corretto? [Cinque figure A–E del pendolo con diversi vettori accelerazione: A solo tangenziale, B solo centripeta, C/E con componente centrifuga, D con componente centripeta + tangenziale verso il centro.]

Topic: Oscillations & Waves Metodi: Free-Body Diagram Competenze: Diagrammatic Reasoning Objects: Pendulum Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

The figures represent a pendulum at a point during its oscillation; the arrow represents the acceleration vector at that point. What figure is the correct vector? [Five figures AE of the pendulum with different acceleration vectors: A only tangential, B only centrifugal, C/E with centrifugal component, D with centrifugal + tangential component towards the centre.]

Topic: Oscillations & Waves Metodi: Free-Body Diagram Competenze: Diagrammatic Reasoning Objects: Pendulum Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q5. Nel circuito mostrato l’interruttore viene chiuso e il condensatore si carica. Raggiunta la condizione stazionaria, quale valore avrà la carica $Q$ del condensatore? [Circuito con $V_0=6\text{V}$, $R_1$, $R_2=200\Omega$, condensatore $C$.] A) $5.0\mu \text{C}$; B) $10\mu \text{C}$; C) $20\mu \text{C}$; D) $40\mu \text{C}$; E) $60\mu \text{C}$.

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Physical Reasoning Objects: Switch, Capacitor, Resistor Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Q5. In the circuit shown, the switch is closed and the capacitor is charged. If the stationary condition is reached, what is the $Q$ charge of the capacitor? [Circuito con $V_0=6\text{V}$, $R_1$, $R_2=200\Omega$, condensatore $C$.] A) $5.0\mu \text{C}$; B) $10\mu \text{C}$; C) $20\mu \text{C}$; D) $40\mu \text{C}$; E) $60\mu \text{C}$.

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Physical Reasoning Objects: Switch, Capacitor, Resistor Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Q6. In quale delle seguenti reazioni nucleari $X$ potrebbe rappresentare un neutrone? A) ${}_1^3\text{H}+{}_1^1\text{H}\to {}_2^4\text{He}+X$; B) ${}_1^2\text{H}+{}_1^2\text{H}\to {}_1^3\text{H}+{}_1^1\text{H}+X$; C) ${}_1^2\text{H}+{}_1^3\text{H}\to {}_2^4\text{He}+X$; D) ${}_6^{12}\text{C}+{}_0^1\text{n}\to {}_7^{13}\text{N}+X$; E) ${}_6^{12}\text{C}+{}_1^1\text{H}\to {}_7^{13}\text{N}+X$.

Quesito 11 — due specchi S1 S2 con distanze

Quesito 12 — strada con segnale velocità e albero

Quesito 14 — assi cartesiani con quadranti I II III IV

Topic: Nuclear & Particle Physics Metodi: — Competenze: Physical Reasoning Objects: Nucleus Fonte: Testo (PDF) — p.5 Risposta: C · Soluzioni (PDF)

Q6. In which of the following nuclear reactions could $X$ represent a neutron? A) ${}_1^3\text{H}+{}_1^1\text{H}\to {}_2^4\text{He}+X$; B) ${}_1^2\text{H}+{}_1^2\text{H}\to {}_1^3\text{H}+{}_1^1\text{H}+X$; C) ${}_1^2\text{H}+{}_1^3\text{H}\to {}_2^4\text{He}+X$; D) ${}_6^{12}\text{C}+{}_0^1\text{n}\to {}_7^{13}\text{N}+X$; E) ${}_6^{12}\text{C}+{}_1^1\text{H}\to {}_7^{13}\text{N}+X$.

Question 11 — two mirrors S1 S2 with distances

Question 12 — road with speed sign and tree

Question 14 — Cartesian axes with quadrants I II III IV

Topic: Nuclear & Particle Physics Metodi: — Competenze: Physical Reasoning Objects: Nucleus Fonte: Testo (PDF) — p.5 Risposta: C · Soluzioni (PDF)

Q7. Un sasso viene lanciato in orizzontale dalla cima di una rupe alta $100\text{m}$ con velocità $5{\text{m s}}^{-1}$. Trascurando l’attrito dell’aria, dopo quanto tempo il sasso tocca terra? A) $1.5\text{s}$; B) $4.5\text{s}$; C) $6.7\text{s}$; D) $9.8\text{s}$; E) $20\text{s}$.

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: Projectile Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

A rock is thrown horizontally from the top of a high crack $100\text{m}$ at $5{\text{m s}}^{-1}$ speed. By ignoring the friction of the air, how long after does the rock touch the ground? A) $1.5\text{s}$; B) $4.5\text{s}$; C) $6.7\text{s}$; D) $9.8\text{s}$; E) $20\text{s}$.

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: Projectile Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q8. Una sostanza viene riscaldata fornendo energia a tasso costante; il grafico mostra la temperatura in funzione del tempo (due soste termiche a $50{}^{\circ }\text{C}$ e $125{}^{\circ }\text{C}$). Qual è la temperatura di ebollizione della sostanza? A) $25{}^{\circ }\text{C}$; B) $50{}^{\circ }\text{C}$; C) $100{}^{\circ }\text{C}$; D) $125{}^{\circ }\text{C}$; E) $200{}^{\circ }\text{C}$.

Quesito 7 — traiettoria parabolica palla, h vs x

Quesito 8 — grafico temperatura T vs tempo t

Quesito 10 — blocco su superficie con molla, dimensioni

Topic: Thermodynamics Metodi: — Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

Q8. A substance is heated to provide energy at a constant rate; the graph shows the temperature as a function of time (two thermal stops at $50{}^{\circ }\text{C}$ and $125{}^{\circ }\text{C}$). What is the boiling temperature of the substance? A) $25{}^{\circ }\text{C}$; B) $50{}^{\circ }\text{C}$; C) $100{}^{\circ }\text{C}$; D) $125{}^{\circ }\text{C}$; E) $200{}^{\circ }\text{C}$.

Question 7 Ball parabolic trajectory, h vs x

Question 8 Chart temperature T vs time t

Question 10 Block on surface with spring, dimensions

Topic: Thermodynamics Metodi: — 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 the Member States.

Q9. Un carrello A ha massa $m$ e velocità $v_0$; un carrello B ha massa $2m$ e velocità $3v_0$. Un’identica forza costante $F$ parallela alla rotaia è applicata separatamente a ciascun carrello fino a fermarlo. Il carrello A si ferma in un intervallo di tempo $t$. Il tempo necessario al carrello B per fermarsi vale: A) $2t$; B) $3t$; C) $6t$; D) $9t$; E) $18t$.

Topic: Newtonian Mechanics Metodi: Impulse-Momentum Theorem Competenze: Physical Reasoning Objects: Cart Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q9. A cart A has mass $m$ and speed $v_0$; a cart B has mass $2m$ and speed $3v_0$. A constant force $F$ parallel to the rail shall be applied separately to each cart until it stops. The A cart shall stop within a time interval $t$. The time required for cart B to stop is: A) $2t$; B) $3t$; C) $6t$; D) $9t$; E) $18t$.

Topic: Newtonian Mechanics Metodi: Impulse-Momentum Theorem Competenze: Physical Reasoning Objects: Cart Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q10. Un blocco di massa $m$ attaccato a una molla (di massa trascurabile) è appoggiato su un tavolo. Spostato di $16\text{cm}$ verso destra e lasciato andare, il sistema possiede inizialmente energia potenziale $1.28\text{J}$. Per l’attrito, il blocco inverte il moto quando si trova $8\text{cm}$ a sinistra dell’equilibrio. Quanta energia meccanica viene dissipata per attrito fra l’inizio del moto e l’inversione? A) $0.16\text{J}$; B) $0.32\text{J}$; C) $0.64\text{J}$; D) $0.96\text{J}$; E) $1.12\text{J}$.

Topic: Conservation of Energy Metodi: Energy Conservation Method, Hooke’s Law Competenze: Mathematical Modeling Objects: Block, Spring Fonte: Testo (PDF) — p.3 Risposta: D · Soluzioni (PDF)

Q10. A mass block $m$ attached to a spring (of negligible mass) is rested on a table. Moving $16\text{cm}$ to the right and left to go, the system initially has potential energy $1.28\text{J}$. For friction, the block reverses the motor when $8\text{cm}$ is located to the left of the balance. How much mechanical energy is dissipated by friction between the start of the motor and the reversal? A) $0.16\text{J}$; B) $0.32\text{J}$; C) $0.64\text{J}$; D) $0.96\text{J}$; E) $1.12\text{J}$.

Topic: Conservation of Energy Metodi: Energy Conservation Method, Hooke’s Law Competenze: Mathematical Modeling Objects: Block, Spring Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q11. In un corridoio ci sono due grandi specchi paralleli $S_1$ e $S_2$ posti su pareti distanti $3\text{m}$. Una persona a $1\text{m}$ dallo specchio di destra guarda verso di esso e vede una serie di immagini di sé. A che distanza dalla persona si trova la seconda di quelle immagini? A) $2\text{m}$; B) $4\text{m}$; C) $6\text{m}$; D) $8\text{m}$; E) $10\text{m}$.

Topic: Geometric Optics Metodi: Ray Tracing Competenze: Physical Reasoning Objects: Mirror Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

Q11. In a hallway there are two large parallel mirrors $S_1$ and $S_2$ placed on distant walls $3\text{m}$. Una persona a $1\text{m}$ dallo specchio di destra guarda verso di esso e vede una serie di immagini di sé. How far away from the person is the second of those images? A) $2\text{m}$; B) $4\text{m}$; C) $6\text{m}$; D) $8\text{m}$; E) $10\text{m}$.

Topic: Geometric Optics Metodi: Ray Tracing Competenze: Physical Reasoning Objects: Mirror Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

Q12. Un’automobile percorre un tratto rettilineo a $36\text{km/h}$. All’altezza di un albero inizia ad accelerare uniformemente a $2{\text{m s}}^{-2}$ e raggiunge un segnale stradale dopo $5\text{s}$. Qual è la distanza fra l’albero e il cartello? A) $10\text{m}$; B) $20\text{m}$; C) $75\text{m}$; D) $100\text{m}$; E) $120\text{m}$.

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q12. A car is travelling along a straight line at $36\text{km/h}$. At a tree height it starts to accelerate evenly at $2{\text{m s}}^{-2}$ and reaches a road sign after $5\text{s}$. What’s the distance between the tree and the sign? A) $10\text{m}$; B) $20\text{m}$; C) $75\text{m}$; D) $100\text{m}$; E) $120\text{m}$.

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Mathematical Modeling 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 in the Member States.

Q13. Quale grafico rappresenta meglio la relazione fra l’energia cinetica media delle molecole di un gas perfetto e la temperatura misurata nella scala Celsius? [Cinque grafici A–E; la relazione è ${\bar{E}}_c=\frac{n}{2}{k}_B(t+T_0)$, retta con intercetta positiva sull’asse delle energie.]

Topic: Kinetic Theory Metodi: Graph Linearization Competenze: Diagrammatic Reasoning Objects: Gas Fonte: Testo (PDF) — p.4 Risposta: A · Soluzioni (PDF)

Q13. Which graph best represents the relationship between the average kinetic energy of molecules of a perfect gas and the temperature measured on the Celsius scale? [Five AE graphs; the ratio is ${\bar{E}}_c=\frac{n}{2}{k}_B(t+T_0)$, directed with positive intercept on the energy axis.]

Topic: Kinetic Theory Metodi: Graph Linearization Competenze: Diagrammatic Reasoning Objects: Gas Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q14. Due fili rettilinei indefiniti, disposti perpendicolarmente, sono percorsi da correnti uguali (versi indicati), praticamente sullo stesso piano ma non in contatto. Il campo magnetico è nullo… A) solo in un punto del quadrante I; B) solo in un punto del quadrante II; C) in più punti dei quadranti I e II; D) in più punti dei quadranti I e IV; E) in più punti dei quadranti II e IV.

Topic: Magnetism Metodi: Superposition Principle, Biot-Savart Law Competenze: Physical Reasoning Objects: Wire Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

Q14. Two unbounded straight wires, arranged perpendicularly, are run by equal currents (indicated vertices), practically on the same plane but not in contact. The magnetic field is zero. (a) only at one point in quadrant I; (b) only at one point in quadrant II; (c) at several points in quadrant I and II; (d) at several points in quadrant I and IV; (e) at several points in quadrant II and IV.

Topic: Magnetism Metodi: Superposition Principle, Biot-Savart Law Competenze: Physical Reasoning Objects: Wire Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment in the Member States.

Q15. Qual è approssimativamente l’energia di legame di un nucleo di elio ${}_2^4\text{He}$ che ha una massa di $6.64466\times 10^{-27}\text{kg}$? A) $1.6\times 10^{-21}\text{J}$; B) $1.6\times 10^{-20}\text{J}$; C) $4.5\times 10^{-13}\text{J}$; D) $4.5\times 10^{-12}\text{J}$; E) $2.35\times 10^{-12}\text{J}$.

Topic: Nuclear & Particle Physics Metodi: Mass-Energy Equivalence Competenze: Mathematical Modeling Objects: Nucleus Fonte: Testo (PDF) — p.5 Risposta: D · Soluzioni (PDF)

Q15. What is the approximate bonding energy of a helium nucleus ${}_2^4\text{He}$ having a mass of $6.64466\times 10^{-27}\text{kg}$? A) $1.6\times 10^{-21}\text{J}$; B) $1.6\times 10^{-20}\text{J}$; C) $4.5\times 10^{-13}\text{J}$; D) $4.5\times 10^{-12}\text{J}$; E) $2.35\times 10^{-12}\text{J}$.

Topic: Nuclear & Particle Physics Metodi: Mass-Energy Equivalence Competenze: Mathematical Modeling Objects: Nucleus 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.

Q16. Qual è l’espressione corretta del campo magnetico nel punto P? [Circuito formato da due semicirconferenze concentriche di raggi $a$ e $b$ e due tratti rettilinei; suggerimento: al centro di una spira di raggio $R$ il campo vale ${\mu }_{0}i/(2R)$.] A) $\frac{{\mu }_{0}I}{4}\left(\frac{1}{a}-\frac{1}{b}\right)$ entrante; B) $\frac{{\mu }_{0}I}{4}\left(\frac{1}{a}-\frac{1}{b}\right)$ uscente; C) $\frac{{\mu }_{0}I}{4}\left(\frac{1}{a}-\frac{1}{b}\right)-\frac{{\mu }_{0}I}{2a}$ uscente; D) $\frac{{\mu }_{0}I}{2}\left(\frac{1}{a}-\frac{1}{b}\right)$ uscente; E) $\frac{{\mu }_{0}I}{2}\left(\frac{1}{a}+\frac{1}{b}\right)+\frac{{\mu }_{0}I}{2a}$ entrante.

Quesito 16 — arco circolare con punto P e raggio R

Topic: Magnetism Metodi: Biot-Savart Law, Superposition Principle Competenze: Mathematical Modeling Objects: Wire Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q16. What is the correct expression of the magnetic field at point P? [Circuit consisting of two concentric semicirculars of $a$ and $b$ rays and two straight lines; suggestion: at the center of a spire of $R$ ray the field is ${\mu }_{0}i/(2R)$.] A) $\frac{{\mu }_{0}I}{4}\left(\frac{1}{a}-\frac{1}{b}\right)$ incoming; B) $\frac{{\mu }_{0}I}{4}\left(\frac{1}{a}-\frac{1}{b}\right)$ outgoing; C) $\frac{{\mu }_{0}I}{4}\left(\frac{1}{a}-\frac{1}{b}\right)-\frac{{\mu }_{0}I}{2a}$ outgoing; D) $\frac{{\mu }_{0}I}{2}\left(\frac{1}{a}-\frac{1}{b}\right)$ outgoing; E) $\frac{{\mu }_{0}I}{2}\left(\frac{1}{a}+\frac{1}{b}\right)+\frac{{\mu }_{0}I}{2a}$ incoming.

Question 16 circular arc with point P and radius R

Topic: Magnetism Metodi: Biot-Savart Law, Superposition Principle Competenze: Mathematical Modeling Objects: Wire 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.

Q17. Uno studente percorre una strada in salita; il grafico riporta il lavoro fatto durante la salita in funzione del tempo. Qual è l’unità di misura della pendenza della retta in questo grafico? A) Non ha unità di misura; B) joule; C) grado; D) secondo; E) watt.

Quesito 17 — grafico lavoro vs tempo

Topic: Newtonian Mechanics Metodi: — Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — Fonte: Testo (PDF) — p.5 Risposta: E · Soluzioni (PDF)

A student is walking on a climbing road; the graph shows the work done during the climb depending on the time. What is the unit of measurement of the slope of the line in this graph? (a) It has no unit of measurement; (b) joule; (c) degree; (d) second; (e) watt.

Question 17 Chart of work vs time

Topic: Newtonian Mechanics Metodi: — Competenze: Diagrammatic Reasoning, Physical Reasoning Objects: — 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.

Q18. Una sorgente sonora in quiete rispetto al mezzo emette onde sferiche di lunghezza d’onda ${\lambda }_0$, che si propagano con velocità $v$. La sorgente viene messa in moto con velocità $v_s<v$ verso destra. La distanza $\lambda$ tra due creste adiacenti immediatamente dietro la sorgente è: A) $\frac{{\lambda }_{0}v}{v+v_s}$; B) $\frac{{\lambda }_{0}v}{v-v_s}$; C) ${\lambda }_0\left(1+\frac{v_s}{v}\right)$; D) ${\lambda }_0\left(1+\frac{v_s}{v}\right)$; E) ${\lambda }_0\left(1-\frac{v_s}{v}\right)$. (la risposta corretta è $\lambda ={\lambda }_0(1+v_s/v)$.)

Quesito 18 — orbita circolare con Sole S e velocità

Topic: Oscillations & Waves Metodi: — Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 Risposta: D · Soluzioni (PDF)

**Q18. ** A sound source which is still relative to the medium emits spherical waves of wavelength ${\lambda }_0$, which propagate at a speed $v$. The source is set to motion at $v_s<v$ speed to the right. The distance $\lambda$ between two adjacent ridges immediately behind the source is: A) $\frac{{\lambda }_{0}v}{v+v_s}$; B) $\frac{{\lambda }_{0}v}{v-v_s}$; C) ${\lambda }_0\left(1+\frac{v_s}{v}\right)$; D) ${\lambda }_0\left(1+\frac{v_s}{v}\right)$; E) ${\lambda }_0\left(1-\frac{v_s}{v}\right)$. *(the correct answer is $\lambda ={\lambda }_0(1+v_s/v)$.) *

Question 18 Circular orbit with Sun S and speed

Topic: Oscillations & Waves Metodi: — Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q19. Un blocco di ghiaccio di massa $m$ cade in un lago; per l’impatto fonde lo $0.2\%$ del blocco. Ghiaccio e lago sono a $0{}^{\circ }\text{C}$. Indicando con $\lambda$ il calore latente di fusione, l’altezza minima $h$ da cui è caduto il ghiaccio è: A) $\frac{\lambda }{500g}$; B) $\frac{\lambda }{500}g$; C) $\frac{g\lambda }{500m}$; D) $\frac{m\lambda }{500g}$; E) $\frac{500g\lambda }{m}$.

Topic: Conservation of Energy Metodi: Energy Conservation Method Competenze: Mathematical Modeling Objects: Block Fonte: Testo (PDF) — p.4 Risposta: A · Soluzioni (PDF)

Q19. A block of ice of mass $m$ falls into a lake; the impact melts the $0.2\%$ of the block. Ice and lake are at $0{}^{\circ }\text{C}$. The minimum height from which the ice has fallen is $h$, indicating with $\lambda$ the latent melting heat: A) $\frac{\lambda }{500g}$; B) $\frac{\lambda }{500}g$; C) $\frac{g\lambda }{500m}$; D) $\frac{m\lambda }{500g}$; E) $\frac{500g\lambda }{m}$.

Topic: Conservation of Energy Metodi: Energy Conservation Method Competenze: Mathematical Modeling Objects: 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.

Q20. Due forze ${\vec{F}}_1$ e ${\vec{F}}_2$ hanno come risultante $\vec{R}$. Nella figura sono rappresentate ${\vec{F}}_1$ e $\vec{R}$. Quale dei vettori rappresenta la forza ${\vec{F}}_2$? [Cinque vettori A–E; la risposta corretta soddisfa ${\vec{F}}_2=\vec{R}-{\vec{F}}_1$.]

Quesito 20 — cinque diagrammi vettori forza F1 F2

Topic: Newtonian Mechanics Metodi: Vector Decomposition Competenze: Diagrammatic Reasoning Objects: — Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

The resulting force ${\vec{F}}_1$ and ${\vec{F}}_2$ shall be $\vec{R}$. In the figure ${\vec{F}}_1$ and $\vec{R}$ are represented. Which of the vectors represents the force ${\vec{F}}_2$? [Five AE vectors; the correct answer is ${\vec{F}}_2=\vec{R}-{\vec{F}}_1$.]

Question 20 Five force vector diagrams F1 F2

Topic: Newtonian Mechanics Metodi: Vector Decomposition Competenze: Diagrammatic Reasoning Objects: — 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.

Q21. Due blocchi di massa $m$ e $M$ (con $M>m$) sono spinti da una forza $F$ in due casi (superficie liscia). Siano $R_{\text{I}}$ e $R_{\text{II}}$ le intensità delle forze che la massa $m$ esercita sull’altra nei due casi. Quale affermazione è vera? A) $R_{\text{I}}=R_{\text{II}}=0$; B) $R_{\text{I}}=R_{\text{II}}\ne 0$ e diverse da $F$; C) $R_{\text{I}}=R_{\text{II}}=F$; D) $R_{\text{I}}<R_{\text{II}}$; E) $R_{\text{I}}>R_{\text{II}}$.

Quesito 21 — due casi blocco con forza applicata

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

Q21. Two blocks of mass $m$ and $M$ (with $M>m$) are pushed by a force $F$ in two cases (flat surface). The intensities of the forces exerted by the mass $m$ on the other in both cases are $R_{\text{I}}$ and $R_{\text{II}}$. What statement is true? A) $R_{\text{I}}=R_{\text{II}}=0$; B) $R_{\text{I}}=R_{\text{II}}\ne 0$ e diverse da $F$; C) $R_{\text{I}}=R_{\text{II}}=F$; D) $R_{\text{I}}<R_{\text{II}}$; E) $R_{\text{I}}>R_{\text{II}}$.

Quesito 21 — due casi blocco con forza applicata

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

Q22. Una scala uniforme di lunghezza $L$ si appoggia in alto (A) a una parete liscia e in basso (B) a un pavimento ruvido (coefficiente d’attrito statico $\mu$). La scala scivola se l’angolo $\theta$ col pavimento è minore di ${\theta }_{\text{min}}$. Quale relazione è corretta? A) ${\theta }_{\text{min}}=\mu /L$; B) $\tan {\theta }_{\text{min}}=2\mu$; C) $\tan {\theta }_{\text{min}}=1/(2\mu )$; D) $\sin {\theta }_{\text{min}}=1/\mu$; E) $\cos {\theta }_{\text{min}}=\mu$.

Quesito 22 — scala inclinata lunghezza L e angolo theta

Topic: Rigid Body Statics Metodi: Torque & Angular Momentum Analysis, Free-Body Diagram Competenze: Mathematical Modeling Objects: Rod Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

A uniform length scale of $L$ shall be supported upwards (A) on a smooth wall and downwards (B) on a rough floor (static friction coefficient $\mu$). The ladder shall slide if the angle $\theta$ to the floor is less than ${\theta }_{\text{min}}$. Which relationship is correct? A) ${\theta }_{\text{min}}=\mu /L$; B) $\tan {\theta }_{\text{min}}=2\mu$; C) $\tan {\theta }_{\text{min}}=1/(2\mu )$; D) $\sin {\theta }_{\text{min}}=1/\mu$; E) $\cos {\theta }_{\text{min}}=\mu$.

Question 22 slope length L and angle theta

Topic: Rigid Body Statics Metodi: Torque & Angular Momentum Analysis, Free-Body Diagram Competenze: Mathematical Modeling Objects: Rod Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a Regulation (EC) on the common organisation of the market in milk and milk products.

Q23. Un tizzone ardente di brace irraggia energia con potenza $P$ alla temperatura assoluta $T$. Approssimando l’irraggiamento con quello di un corpo nero, quanto vale la potenza irradiata quando la temperatura scende a $T/2$? A) $P$; B) $P/2$; C) $P/4$; D) $P/8$; E) $P/16$.

Topic: Thermodynamics Metodi: — Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 Risposta: E · Soluzioni (PDF)

Q23. A burning thunderstorm of arms irradiates energy with a power of $P$ to the absolute temperature $T$. Approaching radiation to that of a black body, what is the radiated power when the temperature drops to $T/2$? A) $P$; B) $P/2$; C) $P/4$; D) $P/8$; E) $P/16$.

Topic: Thermodynamics Metodi: — Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a Regulation (EC) laying down the rules for the implementation of the common fisheries policy.

Q24. Una lente forma un’immagine reale, tre volte più grande dell’oggetto, a distanza di $12\text{cm}$ dalla lente. A quale distanza dalla lente si trova l’oggetto? A) $36\text{cm}$; B) $12\text{cm}$; C) $9\text{cm}$; D) $4\text{cm}$; E) $3\text{cm}$.

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

Q24. A lens forms a real image, three times the size of the object, at a distance of $12\text{cm}$ from the lens. How far from the lens is the object? A) $36\text{cm}$; B) $12\text{cm}$; C) $9\text{cm}$; D) $4\text{cm}$; E) $3\text{cm}$.

Topic: Geometric Optics Metodi: Thin Lens & Mirror Equation 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 in the Member States.

Q25. Una spira di area $0.010{\text{m}}^2$, nel piano della pagina, è in un campo magnetico uniforme $0.080\text{T}$ perpendicolare al piano, entrante. Il modulo del campo diminuisce a tasso costante $3.0\times 10^{-4}{\text{T s}}^{-1}$. Quanto vale e come è diretta la f.e.m. indotta? A) $3.0\times 10^{-6}\text{V}$ orario; B) $3.0\times 10^{-6}\text{V}$ antiorario; C) $2.4\times 10^{-5}\text{V}$ antiorario; D) $8.0\times 10^{-4}\text{V}$ antiorario; E) $8.0\times 10^{-4}\text{V}$ orario.

Topic: Electromagnetic Induction Metodi: Faraday’s Law of Induction, Lenz’s Law Competenze: Mathematical Modeling Objects: Coil Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

Q25. A sphere of area $0.010{\text{m}}^2$, in the plane of the page, is in a uniform magnetic field $0.080\text{T}$ perpendicular to the plane, entering. The field modulus decreases at a constant rate $3.0\times 10^{-4}{\text{T s}}^{-1}$. How much is the f.e.m. worth and how is it directed? - What? A) $3.0\times 10^{-6}\text{V}$ orario; B) $3.0\times 10^{-6}\text{V}$ antiorario; C) $2.4\times 10^{-5}\text{V}$ antiorario; D) $8.0\times 10^{-4}\text{V}$ antiorario; E) $8.0\times 10^{-4}\text{V}$ orario.

Topic: Electromagnetic Induction Metodi: Faraday’s Law of Induction, Lenz’s Law Competenze: Mathematical Modeling Objects: Coil Fonte: Testo (PDF) — p.3 Risposta: A · Soluzioni (PDF)

Q26. La canna di uno strumento musicale (lunghezza molto maggiore del diametro), aperta alle due estremità, risuona alla frequenza fondamentale di $300\text{Hz}$. Se la stessa canna fosse chiusa a un estremo, risuonerebbe alla frequenza fondamentale di: A) $75\text{Hz}$; B) $150\text{Hz}$; C) $300\text{Hz}$; D) $600\text{Hz}$; E) $1200\text{Hz}$.

Topic: Oscillations & Waves Metodi: — Competenze: Physical Reasoning Objects: Tube Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

The bar of a musical instrument (much longer than the diameter), open at both ends, resonates with the fundamental frequency of $300\text{Hz}$. If the same barrel were closed to an extreme, it would resonate to the fundamental frequency of: A) $75\text{Hz}$; B) $150\text{Hz}$; C) $300\text{Hz}$; D) $600\text{Hz}$; E) $1200\text{Hz}$.

Topic: Oscillations & Waves Metodi: — Competenze: Physical Reasoning Objects: Tube 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.

Q27. Uno studente tira una palla verso il canestro e la manda a stamparsi orizzontalmente sul tabellone, con velocità $v=4.5{\text{m s}}^{-1}$. Per quanto tempo la palla è stata in volo? A) circa $0.2\text{s}$; B) circa $0.6\text{s}$; C) circa $1\text{s}$; D) circa $1.2\text{s}$; E) circa $2\text{s}$. (N.B.: quesito speculare al Q7, col verso del moto invertito.)

Quesito 27 — illustrazione lancio pallone con figura

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Estimation & Approximation Objects: Ball Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

A student throws a ball into the basket and sends it to print horizontally on the board, at a speed of $v=4.5{\text{m s}}^{-1}$. How long has the ball been in the air? The following conditions are met: (a) approximately $0.2\text{s}$; (b) approximately $0.6\text{s}$; (c) approximately $1\text{s}$; (d) approximately $1.2\text{s}$; (e) approximately $2\text{s}$. (N.B.: Q7 specular question, with the engine side reversed.)

Question 27 Ball throw illustration with figure

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Estimation & Approximation Objects: Ball Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q28. Tre carrelli di uguale massa $m$ su rotaia a cuscino d’aria: i carrelli 2 e 3 sono fermi, il carrello 1 si muove a velocità $v$. Il carrello 1 urta il 2 (rimangono attaccati), poi la coppia urta il 3 con urto elastico. La velocità del carrello 3 sarà prossima a: A) $0.17v$; B) $0.50v$; C) $0.67v$; D) $0.80v$; E) $1.0v$.

Quesito 28 — tre carrelli numerati su binario

Topic: Conservation of Momentum Metodi: Conservation of Momentum, Conservation of Energy Competenze: Mathematical Modeling Objects: Cart Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

Q28. Three carriages of equal mass $m$ on an air cushion rail: carriages 2 and 3 are stationary, carriage 1 is moving at $v$ speed. The cart 1 hits the 2 (remain attached), then the pair hits the 3 with an elastic impact. The speed of the cart 3 shall be close to: A) $0.17v$; B) $0.50v$; C) $0.67v$; D) $0.80v$; E) $1.0v$.

Question 28 Three tracked numbered carts

Topic: Conservation of Momentum Metodi: Conservation of Momentum, Conservation of Energy Competenze: Mathematical Modeling Objects: Cart Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q29. Un fascio di luce attraversa due fenditure sottili producendo frange d’interferenza su uno schermo. In aria, un massimo (differenza di percorso $r_2-r_1$ pari a una lunghezza d’onda) si forma nel punto P all’angolo $\theta$. Se tutto l’apparato è posto in acqua, l’angolo $\theta$ corrispondente allo stesso massimo… A) rimane lo stesso; B) diminuisce perché diminuisce la frequenza; C) diminuisce perché diminuisce la lunghezza d’onda; D) aumenta perché aumenta la frequenza; E) aumenta perché aumenta la lunghezza d’onda.

Quesito 29 — doppia fenditura con raggi r1 r2

Topic: Wave Optics Metodi: Interference & Diffraction Analysis Competenze: Physical Reasoning Objects: Slit, Screen Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

A beam of light passes through two thin slits producing interference fringes on a screen. In air, a maximum (path difference $r_2-r_1$ equal to a wavelength) forms at the point P at the angle $\theta$. If the whole apparatus is placed in water, the angle $\theta$ corresponding to the same maximum… (a) remains the same; (b) decreases because it decreases frequency; (c) decreases because it decreases wavelength; (d) increases because the frequency increases; (e) increases because the wavelength increases.

Question 29 Double split with rays r1 r2

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

Q30. Qual è la tensione $T$ del cavo mentre un corpo da $1\text{kg}$ viene sollevato a velocità costante tramite una carrucola sostenuta da due tratti di cavo?A) $3.5\text{N}$; B) $4.9\text{N}$; C) $6.9\text{N}$; D) $9.8\text{N}$; E) $14\text{N}$.

Quesito 30 — fune con massa 1 kg appesa

Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: Pulley, String Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q30. Qual è la tensione $T$ del cavo mentre un corpo da $1\text{kg}$ viene sollevato a velocità costante tramite una carrucola sostenuta da due tratti di cavo?A) $3.5\text{N}$; B) $4.9\text{N}$; C) $6.9\text{N}$; D) $9.8\text{N}$; E) $14\text{N}$.

Question 30 ropes with a mass of 1 kg suspended

Topic: Newtonian Mechanics Metodi: Free-Body Diagram Competenze: Physical Reasoning Objects: Pulley, String Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q31. Due satelliti orbitano lo stesso pianeta con orbite circolari di raggio $R$ e $2R$. Se $v_1$ è la velocità orbitale del primo, la velocità del secondo sarà: A) $v_1/2$; B) $v_1/\sqrt{2}$; C) $v_1$; D) $\sqrt{2}{v}_1$; E) $2v_1$.

Topic: Gravitation Metodi: Newton’s Law of Gravitation Competenze: Mathematical Modeling Objects: Satellite, Planet Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Two satellites orbiting the same planet with radius $R$ and $2R$ circular orbits. If $v_1$ is the orbital velocity of the first, the velocity of the second shall be: A) $v_1/2$; B) $v_1/\sqrt{2}$; C) $v_1$; D) $\sqrt{2}{v}_1$; E) $2v_1$.

Topic: Gravitation Metodi: Newton’s Law of Gravitation Competenze: Mathematical Modeling Objects: Satellite, Planet Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment.

Q32. Un guscio sferico conduttore ha superficie interna di raggio $a$ ed esterna di raggio $b$. Una carica $+Q$ è al centro e una carica $-q$ è posta sul guscio. Come si distribuisce la carica all’equilibrio? A) nulla sull’interna, $-q$ sull’esterna; B) $-Q$ sull’interna, $-q$ sull’esterna; C) $-Q$ sull’interna, $-q+Q$ sull’esterna; D) $+Q$ sull’interna, $-q-Q$ sull’esterna; E) $-q$ ripartita proporzionalmente ai quadrati dei raggi.

Quesito 32 — sfere concentriche con carica Q

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

Q32. A conductive spherical shell has an internal radius of $a$ and an external radius of $b$. A charge $+Q$ is placed in the centre and a charge $-q$ is placed on the shell. How is the load distributed to the balance? (a) nothing on the inside, $-q$ on the outside; (b) $-Q$ on the inside, $-q$ on the outside; (c) $-Q$ on the inside, $-q+Q$ on the outside; (d) $+Q$ on the inside, $-q-Q$ on the outside; (e) $-q$ distributed proportionally to the square of the beams.

Question 32 Concentric spheres with Q charge

Topic: Electrostatics Metodi: Gauss’s Law Competenze: Physical Reasoning Objects: Conducting Sphere, 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 in the Member States.

Q33. In una regione senza gravità, due sferette uguali uniformemente cariche sono fisse a distanza $28.0\text{mm}$; massa $m=4.18\text{g}$, carica $q=8\mu \text{C}$. Una terza sferetta uguale, inizialmente ferma vicino al punto medio, viene lasciata andare. Qual è la sua velocità a grande distanza? A) $0$; B) $6.28{\text{m s}}^{-1}$; C) $8.87{\text{m s}}^{-1}$; D) $12.6{\text{m s}}^{-1}$; E) $27.8{\text{m s}}^{-1}$.

Topic: Electrostatics Metodi: Energy Conservation Method, Electric Potential Method Competenze: Mathematical Modeling Objects: Conducting Sphere Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

In a region without gravity, two uniformly charged spheres are fixed at a distance $28.0\text{mm}$; mass $m=4.18\text{g}$, charge $q=8\mu \text{C}$. A third equal sphere, initially stationary near the middle point, is released. What’s his long-distance speed? A) $0$; B) $6.28{\text{m s}}^{-1}$; C) $8.87{\text{m s}}^{-1}$; D) $12.6{\text{m s}}^{-1}$; E) $27.8{\text{m s}}^{-1}$.

Topic: Electrostatics Metodi: Energy Conservation Method, Electric Potential Method Competenze: Mathematical Modeling Objects: 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.

Q34. Quando un’onda armonica incide sull’interfaccia fra due mezzi diversi, si può trasmettere un’onda nel secondo mezzo. Quali caratteristiche possono essere diverse fra onda incidente e onda trasmessa? (1) velocità $v$; (2) periodo $T$; (3) lunghezza d’onda $\lambda$. A) $\lambda$ e $T$, ma non $v$; B) $T$ e $v$, ma non $\lambda$; C) $\lambda$ e $v$, ma non $T$; D) solo $v$, ma non $\lambda$ e $T$; E) tutte e tre.

grafici F vs L, cinque opzioni

Topic: Oscillations & Waves Metodi: — Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 Risposta: C · Soluzioni (PDF)

Q34. When a harmonic wave hits the interface between two different media, a wave can be transmitted in the second half. What characteristics may differ between an accidental wave and a transmitted wave? The following conditions shall apply: (1) speed $v$; (2) period $T$; (3) wavelength $\lambda$. (a) $\lambda$ and $T$, but not $v$; (b) $T$ and $v$, but not $\lambda$; (c) $\lambda$ and $v$, but not $T$; (d) only $v$, but not $\lambda$ and $T$; (e) all three.

graphs F vs L, five options

Topic: Oscillations & Waves Metodi: — Competenze: Physical Reasoning Objects: — Fonte: Testo (PDF) — p.4 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q35. Un motociclista viaggia da Siena a Bologna: nella prima metà del percorso la velocità media è $80\text{km/h}$, nella seconda metà $100\text{km/h}$. Qual è la velocità media sull’intero percorso? A) $84\text{km/h}$; B) $89\text{km/h}$; C) $90\text{km/h}$; D) $91\text{km/h}$; E) $95\text{km/h}$.

Topic: Newtonian Mechanics Metodi: — Competenze: Mathematical Modeling Objects: — Fonte: Testo (PDF) — p.3 Risposta: B · Soluzioni (PDF)

Q35. A motorcyclist travels from Siena to Bologna: in the first half of the route the average speed is $80\text{km/h}$, in the second half $100\text{km/h}$. What’s the average speed on the entire route? A) $84\text{km/h}$; B) $89\text{km/h}$; C) $90\text{km/h}$; D) $91\text{km/h}$; E) $95\text{km/h}$.

Topic: Newtonian Mechanics Metodi: — Competenze: Mathematical Modeling 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.

Q36. Un gas perfetto è riscaldato a volume costante con $\Delta T=150\text{K}$ assorbendo $Q=6300\text{J}$. A pressione costante, per lo stesso $\Delta T=150\text{K}$, occorrono $8800\text{J}$. In un terzo caso (trasformazione diversa, stesso stato iniziale) la variazione di temperatura è ancora $150\text{K}$. Quanto vale la variazione di energia interna nella terza trasformazione? A) $2500\text{J}$; B) $6300\text{J}$; C) $8800\text{J}$; D) $11300\text{J}$; E) Non ci sono dati sufficienti.

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

Q36. Un gas perfetto è riscaldato a volume costante con $\Delta T=150\text{K}$ assorbendo $Q=6300\text{J}$. At constant pressure, $\Delta T=150\text{K}$ is required for the same $8800\text{J}$. In a third case (different transformation, same initial state) the temperature change is still $150\text{K}$. What’s the change in internal energy in the third transformation worth? A) $2500\text{J}$; B) $6300\text{J}$; C) $8800\text{J}$; D) $11300\text{J}$; E) Non ci sono dati sufficienti.

Topic: Thermodynamics Metodi: First Law of Thermodynamics Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.4 Risposta: B · Soluzioni (PDF)

Q37. Nel circuito, $L_1,L_2,L_3,L_4$ sono quattro lampadine identiche e $V_1,\dots ,V_5$ cinque voltmetri ideali. Se la lampadina $L_3$ si brucia (interrompendo il circuito in quel punto), quale o quali voltmetri segnano zero? A) Nessun voltmetro; B) Solo $V_3$; C) Solo $V_4$; D) $V_3,V_4,V_5$; E) Tutti.

Quesito 37 — circuito con induttori e voltmetri

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Diagrammatic Reasoning Objects: Resistor, Wire Fonte: Testo (PDF) — p.3 Risposta: C · Soluzioni (PDF)

In the circuit, $L_1,L_2,L_3,L_4$ are four identical lamps and $V_1,\dots ,V_5$ five ideal voltmeters. If the $L_3$ bulb burns (disrupting the circuit at that point), which or which voltmeter marks zero? (a) No voltmeter; (b) Only $V_3$; (c) Only $V_4$; (d) $V_3,V_4,V_5$; (e) All of them.

Question 37 inductor and voltmeter circuit

Topic: Circuits Metodi: Kirchhoff’s Laws Competenze: Diagrammatic Reasoning Objects: Resistor, Wire Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q38. Un’automobile si muove a velocità costante su strada rettilinea pianeggiante. Quando supera una sporgenza rocciosa, da questa si stacca una pietra che cade verticalmente. Un passeggero filma tenendo ferma la videocamera e riprende la pietra. Quale diagramma rappresenta meglio il moto della pietra nel video? [Cinque diagrammi A–E; il moto nel riferimento dell’auto è una parabola con velocità iniziale orizzontale.]

Quesito 38 — cinque traiettorie auto e sasso

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

A vehicle is moving at a constant speed on a straight, flat road. When it overcomes a rocky outcrop, a stone falls vertically. A passenger takes a picture of the camera holding still and picks up the stone. Which diagram best represents the motion of the stone in the video? [Five AE diagrams; the motor in the reference car is a parabola with horizontal starting speed.]

Question 38 5 car and rock tracks

Topic: Newtonian Mechanics Metodi: Kinematic Equations Competenze: Diagrammatic Reasoning Objects: Projectile Fonte: Testo (PDF) — p.3 The Commission has also adopted a proposal for a regulation on the protection of the environment and the environment in the Member States.

Q39. La pressione $p$ di una certa quantità di gas perfetto viene aumentata comprimendolo a temperatura $T$ costante. La densità $\delta$ del gas è… A) direttamente proporzionale a $p$; B) inversamente proporzionale a $p$; C) direttamente proporzionale a $p^2$; D) inversamente proporzionale a $p^2$; E) costante.

Topic: Thermodynamics Metodi: Ideal Gas Law Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.4 Risposta: A · Soluzioni (PDF)

Q39. La pressione $p$ di una certa quantità di gas perfetto viene aumentata comprimendolo a temperatura $T$ costante. La densità $\delta$ del gas è… (a) directly proportional to $p$; (b) inversely proportional to $p$; (c) directly proportional to $p^2$; (d) inversely proportional to $p^2$; (e) constant.

Topic: Thermodynamics Metodi: Ideal Gas Law Competenze: Physical Reasoning Objects: Gas Fonte: Testo (PDF) — p.4 Risposta: A · Soluzioni (PDF)

Q40. Due cariche puntiformi fisse a distanza $d=0.2\text{m}$: $q_1=+1\mu \text{C}$, $q_2=-4\mu \text{C}$. In quale punto il campo elettrico è nullo? A) $0.40\text{m}$ a destra di $q_1$; B) $0.13\text{m}$ a destra di $q_1$; C) $0.10\text{m}$ a destra di $q_1$; D) $0.067\text{m}$ a sinistra di $q_1$; E) $0.20\text{m}$ a sinistra di $q_1$.

pendolo in oscillazione, cinque posizioni

Quesito 40 — due cariche q1 q2 con distanza d

Topic: Electrostatics Metodi: Coulomb’s Law, Superposition Principle Competenze: Mathematical Modeling Objects: Point Charge Fonte: Testo (PDF) — p.3 Risposta: E · Soluzioni (PDF)

Q40. Two fixed point-form loads at a distance $d=0.2\text{m}$: $q_1=+1\mu \text{C}$, $q_2=-4\mu \text{C}$. At what point is the electric field zero? (a) $0.40\text{m}$ to the right of $q_1$; (b) $0.13\text{m}$ to the right of $q_1$; (c) $0.10\text{m}$ to the right of $q_1$; (d) $0.067\text{m}$ to the left of $q_1$; (e) $0.20\text{m}$ to the left of $q_1$.

The following table shows the results of the calculation of the weight of the vehicle:

Question 40 Two loads q1 q2 with distance d

Topic: Electrostatics Metodi: Coulomb’s Law, Superposition Principle Competenze: Mathematical Modeling Objects: Point Charge 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.