Physics questions and solutions

Browse original practice and official past-paper questions. Each question has its own link, with its source and worked solution.

498 questions · Page 12 of 21

1. Q51 · Original practice · 1 mark
   The quark composition of a proton is
   The Standard Model
2. Q52 · Original practice · 1 mark
   A positively charged pion $\pi^+$ is a meson. Which quark composition is consistent with charge $+1e$?
   The Standard Model
3. Q53 · Original practice · 1 mark
   What is the baryon number of an antiproton?
   The Standard Model
4. Q54 · Original practice · 1 mark
   What is the lepton number of a positron?
   The Standard Model
5. Q55 · Original practice · 1 mark
   The diagram represents beta-minus decay. Which set of products correctly completes $n\rightarrow\,?$
   The Standard Model
6. Q56 · Original practice · 1 mark
   Which gauge boson mediates the electromagnetic interaction?
   The Standard Model
7. Q57 · Original practice · 4 marks
   A ball is launched from level ground at $24.0\,\text{m s}^{-1}$ and $35^\circ$ above the horizontal, as shown. Neglect air resistance. Determine (a) the time of flight and (b) the horizontal range.
   Projectile motion
8. Q58 · Original practice · 5 marks
   A stone is projected horizontally at $18.0\,\text{m s}^{-1}$ from the top of a $45.0\,\text{m}$ cliff. Neglect air resistance. Determine the horizontal distance travelled and the magnitude and direction of its velocity immediately before impact.
   Projectile motion
9. Q59 · Original practice · 4 marks
   A launcher fires identical projectiles at the same speed. The measured ranges are:

   angle (°)	20	30	40	50	60	70
   range (m)	31.6	40.9	46.4	46.1	41.2	31.4

   Analyse the data to identify two patterns and predict the launch angle that would produce the maximum range.
   Projectile motion
10. Q60 · Original practice · 3 marks
    A $9.0\,\text{kg}$ block slides down a $28^\circ$ incline. A constant friction force of $18\,\text{N}$ acts up the slope. Determine the block’s acceleration.
    Inclined planes and circular motion
11. Q61 · Original practice · 4 marks
    A $20.0\,\text{kg}$ crate is pulled up a frictionless $15^\circ$ incline by a rope parallel to the slope with tension $140\,\text{N}$. Determine the acceleration of the crate.
    Inclined planes and circular motion
12. Q62 · Original practice · 3 marks
    A $1100\,\text{kg}$ car travels at constant speed $14.0\,\text{m s}^{-1}$ around a level circular curve of radius $42.0\,\text{m}$. Determine the centripetal acceleration and the net horizontal force.
    Inclined planes and circular motion
13. Q63 · Original practice · 4 marks
    The graph shows gravitational field strength outside a spherical body. The body surface is at radius $R$. If the field strength at $R$ is $12.0\,\text{N kg}^{-1}$, determine the field strength at $1.5R$ and explain the shape of the curve.
    Orbital mechanics
14. Q64 · Original practice · 4 marks
    A satellite orbits Earth in a circular orbit of radius $7.00\times10^6\,\text{m}$. Take Earth’s mass as $5.97\times10^{24}\,\text{kg}$. Determine the orbital period in minutes.
    Orbital mechanics
15. Q65 · Original practice · 3 marks
    Two satellites orbit the same planet. Satellite B has an orbital radius $1.50$ times that of satellite A. Determine $T_B/T_A$.
    Orbital mechanics
16. Q66 · Original practice · 5 marks
    A moon completes a circular orbit of radius $9.0\times10^6\,\text{m}$ around an unknown planet in $2.00\,\text{h}$. Determine the mass of the planet.
    Orbital mechanics
17. Q67 · Original practice · 6 marks
    A spherical exoplanet has radius $4.0\times10^6\,\text{m}$ and surface gravitational field strength $15.0\,\text{N kg}^{-1}$. A small satellite is placed in a circular orbit at radius $8.0\times10^6\,\text{m}$ from the planet centre. Determine (a) the planet mass and (b) the satellite orbital period.
    Orbital mechanics
18. Q68 · Original practice · 6 marks
    Two point charges $+3.0\,\text{nC}$ and $-2.0\,\text{nC}$ are separated by $0.40\,\text{m}$. Point P forms an equilateral triangle with the two charges, so P is $0.40\,\text{m}$ from each charge. Determine the magnitude and direction of the net electric field at P.
    Electrostatics
19. Q69 · Original practice · 4 marks
    Three charges lie on a straight line. A $+4.0\,\mu\text{C}$ charge is at $x=0$, a $+1.0\,\mu\text{C}$ charge is at $x=0.30\,\text{m}$, and a $-2.0\,\mu\text{C}$ charge is at $x=0.80\,\text{m}$. Determine the net electrostatic force on the $+1.0\,\mu\text{C}$ charge.
    Electrostatics
20. Q70 · Original practice · 4 marks
    A charge of $-3.0\,\mu\text{C}$ moves from a point at electric potential $250\,\text{V}$ to a point at $40\,\text{V}$. Determine (a) the change in electric potential energy and (b) the work done by the electric field.
    Electrostatics
21. Q71 · Original practice · 3 marks
    A $0.45\,\text{m}$ straight wire carries $3.2\,\text{A}$ to the right through a uniform $0.38\,\text{T}$ magnetic field directed out of the page. Determine the magnitude and direction of the magnetic force on the wire.
    Magnetic fields
22. Q72 · Original practice · 5 marks
    A proton enters a uniform $0.25\,\text{T}$ magnetic field at $3.5\times10^6\,\text{m s}^{-1}$ perpendicular to the field. Show that the magnetic force can provide the centripetal force, then determine the radius of the proton’s circular path and its orbital period.
    Magnetic fields
23. Q73 · Original practice · 3 marks
    A long solenoid has $1200$ turns per metre and carries a current of $2.50\,\text{A}$. Determine its internal magnetic flux density.
    Magnetic fields
24. Q74 · Original practice · 5 marks
    The magnetic flux through each turn of a $50$-turn coil varies with time as shown. From $t=1.0$ to $2.0\,\text{s}$, the flux rises linearly from $2.0\,\text{mWb}$ to $12.0\,\text{mWb}$; it is constant from $2.0$ to $3.0\,\text{s}$ and falls back to $2.0\,\text{mWb}$ from $3.0$ to $4.0\,\text{s}$. Determine the induced EMF in each of these three intervals, in…
    Electromagnetic induction