Scholarship Physics 93103
Mechanics, electricity, waves and modern physics. Unfamiliar contexts, show-that derivations and extended explanations, modelled on NZQA papers 2004–2025.
450 problems · 20 free to try now
Free problems
- The Runaway Cable DrumBridge
- Despinning the CubeSat CarrierScholarship
- Loop-the-Loop in an Electric FieldScholarship
- The Rubble-Pile Spin LimitScholarship
- Conversion in Front of the PostsBridge
- The Bouncing CoinBridge
- Glancing Stones at NasebyScholarship
- Old Cell, New CellScholarship
- The Open-Evening CapacitorBridge
- The Regenerative Rail BrakeScholarship
- Stopping the ZiplineScholarship
- Tuning the Series CircuitBridge
- The Singing Sign on Cuba StreetScholarship
- Siren on State Highway 1Bridge
- Measuring Muka with an Air WedgeScholarship
- The Star-Tracker Test BenchBridge
- The Helium Impostor at Mt JohnScholarship
- Radon in the BasementScholarship
- How the Sun Cheats the BarrierScholarship
- Electron Echoes from a Crystal SurfaceScholarship
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Mechanics · 49
- The Runaway Cable DrumRotational dynamicsBridge
- Mahia to Low Earth OrbitCircular motion and gravitationBridge
- Conversion in Front of the PostsProjectiles and forcesBridge
- The Bouncing CoinSHM and oscillationsBridge
- The Head-On TackleMomentum and collisionsBridge
- Timing the FlywheelRotational dynamicsBridge
- Banking at the VelodromeCircular motion (banked track)Bridge
- Hauling the Waka AmaForces and frictionBridge
- Speed Bumps and a Loaded UteSHM and oscillations (resonance)Bridge
- Jumping off the DinghyMomentum and collisions (recoil)Bridge
- The Kick-Wheel in the Pottery StudioRotational dynamics (rotational kinetic energy)Bridge
- Over the HumpCircular motion (vertical circle)Bridge
- Drop ZoneProjectiles (horizontal launch)Bridge
- The Clock at the Top of the GondolaSHM and oscillations (pendulum, variation of g)Bridge
- Straight Back Past the BowlerMomentum and impulse (force–time pulse)Bridge
- Squeezing the Disc BrakeRotational dynamics (braking torque, work and energy)Bridge
- Inside the Spin CycleCircular motion (vertical circle, rotating drum)Bridge
- The Coin in the Tower LiftForces (Newton's second law in an accelerating lift, relative motion)Bridge
- Bouncing on the TrampolineSHM and oscillations (spring model, energy, contact time)Bridge
- Clocking the CatapultMomentum and collisions (ballistic pendulum)Bridge
- The Maxwell WheelRotational dynamics (string-wound wheel, tension and energy)Bridge
- Teardrop LoopsCircular motion (vertical loops, variable radius of curvature)Bridge
- Catch on the EscalatorProjectiles (relative motion, inertial frames)Bridge
- The Pendulum WaveSHM and oscillations (simple pendulum, phase)Bridge
- Board Swap at the Skate ParkMomentum and collisions (recoil and perfectly inelastic landing)Bridge
- The Pole on the High WireRotational dynamics (torque, rotational inertia, toppling)Bridge
- Speed Table on the RoundaboutCircular motion (friction on a flat curve, vertical curvature)Bridge
- Winching onto the Tilt TrayForces (inclined plane, pulley systems, work and power)Bridge
- The Pendulum Above the Top FloorSHM and oscillations (simple pendulum, tuned mass damper, resonance)Bridge
- Letting Go of the SandbagMomentum and collisions (release versus throw, relative velocity)Bridge
- Driving the Fence PostMomentum and collisions (perfectly inelastic impact, work–energy)Bridge
- Pushing the Revolving DoorRotational dynamics (torque, rotational inertia, work done by a torque)Bridge
- The Sagging Farm GateTorque and statics (hinge forces), angular momentum about a fixed axisBridge
- The Plumb Line in WellingtonCircular motion (Earth's rotation, apparent weight, direction of the vertical)Bridge
- The Phone on a StringSHM and oscillations (simple pendulum, graph linearisation, systematic error)Bridge
- Surging at Lake KarapiroMomentum and collisions (internal forces, centre-of-mass velocity, rowing)Bridge
- Leaning into a Wellington GustStatics (torques about a pivot, friction limit, wind drag)Bridge
- Striking for a Natural RollRotational dynamics (angular impulse, rolling without slipping, direction of friction)Bridge
- Holding the Iron CrossTorque and statics (rotational equilibrium of a limb, muscle and joint forces)Bridge
- Over the Top on a Kiiking SwingCircular motion (vertical circle, rigid support versus rope, apparent weight)Bridge
- Bounce at the Ground FloorSHM and oscillations (elastic rope as a spring, sudden loading)Bridge
- The Snatch StrapMomentum and collisions (elastic link between two vehicles, energy storage, impulse)Bridge
- Fifty or Sixty?Forces and kinematics (friction braking, reaction distance, stopping distance)Bridge
- Slewing the Tower CraneRotational dynamics (rotational inertia, torque, angular momentum) with circular motion of a hanging loadBridge
- Fifty g in the Soil LabCircular motion (centripetal acceleration, swinging basket, scale modelling)Bridge
- Weighing the Hidden Ore BodyGravitation (field of a buried sphere, gravity anomaly, vertical component)Bridge
- Slinging the Bridge BeamStatics (sling tensions, resolving forces, torques about the centre of mass)Bridge
- Crossing the Kāwhia BarSHM and oscillations (SHM model of the tide, reference circle, rates of change)Bridge
- Bruised Apples in the BinMomentum and impulse (impulse–momentum theorem, average force, effect of rebound)Bridge
Electricity · 45
- Dimming at the IgnitionDC circuits (internal resistance)Bridge
- The Open-Evening CapacitorCapacitors, dielectrics, RC, energyBridge
- The Kiwi Camera Trap TimerCapacitors, dielectrics, RC, energyBridge
- The Rooftop Wind GeneratorEM induction, Faraday/Lenz, LRBridge
- Tuning the Series CircuitAC: reactance, phasors, LCR, resonanceBridge
- Lights in the Far ShedDC circuits (cable resistance)Bridge
- The Supercapacitor Bike LightCapacitors, RC discharge, energyBridge
- Lighting the Garden PathEM induction, transformers, LenzBridge
- Counting Chairs on the LiftEM induction, Faraday/Lenz, flux linkageBridge
- The Tweeter's CapacitorAC: reactance, phasors, RC filterBridge
- The Glasshouse Frost AlarmDC circuits (potential divider, thermistor, loading)Bridge
- Two Capacitors for One JobCapacitors in series, leakage, RC dischargeBridge
- The Thundercloud CapacitorCapacitors: parallel-plate field and energyBridge
- Flipping for the FieldEM induction: flux change and chargeBridge
- The Capacitor Night-LightAC: capacitive reactance, phasors, powerBridge
- Choosing the LED ResistorDC circuits (non-ohmic LED, series resistor, load line)Bridge
- Smoothing the Bench SupplyCapacitors: RC discharge, smoothing rippleBridge
- Charging the Bus at the StopCapacitors: energy stored, charging lossesBridge
- The Self-Limiting Hub DynamoEM induction: AC generator, self-inductance (bicycle hub dynamo)Bridge
- Losing the TrebleAC: RL series circuit, impedance, power, phaseBridge
- The Wind Charger at the BachDC circuits (emf, internal resistance, diode, charging)Bridge
- Why the Lamp Knows You Are ThereCapacitors: parallel and series combinations, RC chargingBridge
- Doubling Up in a PacemakerCapacitors: series/parallel switching, RC discharge, charging efficiencyBridge
- Millivolts on the Main Trunk LineEM induction: motional emf, flux through moving and stationary circuitsBridge
- Phantom Volts in the WallAC: capacitive reactance, series RC phasors, source impedanceBridge
- Four Wires for a Small ResistanceDC circuits (four-terminal resistance measurement, lead resistance)Bridge
- Keeping Time in a Power CutCapacitors: constant-current discharge, energy, series cellsBridge
- The Wedding Slave FlashCapacitors: RC charging and discharge, energy and p.d., timingBridge
- Shake to ShineEM induction: Faraday/Lenz, magnet through a coil, energy and forceBridge
- Iron in the CoilAC: inductive reactance, impedance, core lossesBridge
- The Kūmara BatteryDC circuits (emf and internal resistance, linearised graph, cells in series)Bridge
- Feet on the Trolley WireDC circuits (resistivity, p.d. along a conductor, current divider)Bridge
- Skipping on Earth's FieldEM induction: Faraday/Lenz, rotating loop in Earth's field (field components)Bridge
- Dropping the Load at the ScrapyardEM induction: LR circuit growth and decay, inductor energy, discharge resistorBridge
- Turning Down the Induction HobAC: series LCR resonance, power control by detuning, phase and energy exchange (induction hob)Bridge
- The Trailer With a Bad EarthDC circuits (shared return resistance, lamps in parallel, fault paths)Bridge
- Zapping the FlyCapacitors: parallel-plate capacitance and field, energy storage, RC chargingBridge
- The Loop Around the LoungeEM induction: field of a long straight wire, Faraday's law, telecoil pickupBridge
- Thirty Milliamps in the BathroomEM induction: residual current device, flux in a toroidal core, Faraday's lawBridge
- The Bell in the Old PhoneAC: series LCR, reactance, DC blocking, resonance (telephone bell ringer)Bridge
- Pumping to the Hill TroughDC circuits (emf, internal resistance, cable sizing, choice of supply voltage) with mechanical powerBridge
- Earthing the Cable After the TestCapacitors: energy stored, RC discharge, insulation leakageBridge
- Borrowing Flux from the LineEM induction: Faraday's law, alternating flux from a current-carrying conductor (energy harvesting)Bridge
- Exporting Through the InductorAC: inductive reactance, phasor addition, power transfer (grid-tied solar inverter)Bridge
- Ground Power at the GateAC: inductive reactance, impedance, power factor (400 Hz aircraft supply)Bridge
Waves · 27
- Tuning the G StringStanding waves (strings, pipes, end correction, beats)Bridge
- Siren on State Highway 1Doppler (sound and light, moving observer/source, circular)Bridge
- Spots on the Lab WallInterference/diffraction (double slit, grating, thin film, Bragg)Bridge
- The Stopped Organ PipeStanding waves (pipes, harmonics, beats)Bridge
- Passing the Level-Crossing BellDoppler (sound, moving observer)Bridge
- Rainbow Glasses at the Street LightInterference/diffraction (diffraction grating, overlapping orders)Bridge
- Harmonics on the UkuleleStanding waves (strings, frets, harmonics)Bridge
- The Fork and the WallDoppler (sound, moving source, reflection, beats)Bridge
- Laser Spots from a CDInterference/diffraction (reflection grating, optical discs)Bridge
- Standing Waves on a SlinkyStanding waves (longitudinal waves on a stretched spring)Bridge
- The Singing SwingDoppler (sound, source moving on a pendulum)Bridge
- Coating the Camera LensInterference (thin film, anti-reflection coating)Bridge
- The Boom in the Back SeatStanding waves (sound in an enclosed space, closed and open ends)Bridge
- Overtaken at PaekākārikiDoppler (sound, source and observer both moving)Bridge
- Rings Under the LensInterference (thin air film, Newton's rings)Bridge
- Beads in the Sound TrapStanding waves (ultrasonic levitator, pressure nodes)Bridge
- The Travelling DipperDoppler (water waves in a ripple tank, moving source)Bridge
- Music Through the DoorwayDiffraction (single slit, sound through a doorway)Bridge
- The Mains-Driven WireStanding waves (string driven by an alternating current in a magnetic field)Bridge
- Paddling Out at RaglanDoppler effect (moving observer, water waves, limiting cases)Bridge
- Splitting the PointerDiffraction at a circular aperture (resolving power, Rayleigh criterion)Bridge
- Harmonics on the CelloStanding waves (string harmonics, forced node, stopped versus touched string)Bridge
- A Semitone on the BikeDoppler (sound, moving observer passing and braking past a stationary source, musical interval, limiting cases)Bridge
- The Column of SpeakersInterference (multiple in-phase sources as a grating for sound, grating lobes, beam width)Bridge
- Plucking the Rudder CableStanding waves on a string (control cable tension from frequency, harmonics and pluck point)Bridge
- Bouncing Signals off the MoonDoppler effect for reflected radio waves (Earth–Moon–Earth echoes, transmitter carried by Earth's rotation)Bridge
- Rings Round the MoonDiffraction by small circular obstacles (lunar corona from cloud droplets)Bridge
Modern Physics · 33
- The Star-Tracker Test BenchPhotoelectric effect and photon momentumBridge
- Red Light Over RakiuraBohr model and spectraBridge
- Tracer for the Christchurch PET ScannerNuclear binding energy and mass defectBridge
- Photoelectrons in a Magnetic FieldPhotoelectric effect with magnetic fieldsBridge
- The Electroscope and the Germicidal LampPhotoelectric effectBridge
- The Glowing Tube Through a GratingBohr model and line spectraBridge
- Fuel for a Fusion ReactorNuclear fusion and binding energyBridge
- One Photon at a TimeWave–particle duality of lightBridge
- The Solar-Blind Flame SensorPhotoelectric effect (threshold and photocurrent)Bridge
- Glow of the Tarantula NebulaBohr model: ionisation and recombinationBridge
- Helium Burning in a Red GiantNuclear fusion and binding energyBridge
- Buckyballs Through a Gratingde Broglie wavelength and matter-wave diffractionBridge
- Reading the SoundtrackPhotoelectric effect (vacuum phototube)Bridge
- Red Stars over the HarbourAtomic energy levels and line spectraBridge
- The Glowing Lantern MantleBinding energy and decay energy (alpha emission)Bridge
- When Atoms Become Wavesde Broglie wavelength (ultracold atoms)Bridge
- The Darkroom Leak DetectorPhotoelectric effect (threshold and choice of cathode metal)Bridge
- A Hydrogen Atom the Size of a VillageBohr model: orbit radius, speed and energyBridge
- Where Radiocarbon Is BornNuclear reactions: mass–energy, recoil and Coulomb repulsionBridge
- Waves in the Oscilloscope Tubede Broglie wavelength of accelerated electronsBridge
- Reading the Ozone Hole in VoltsPhotoelectric effect (stopping potential as a spectral cut-off meter)Bridge
- The Invisible Hydrogen LinesBohr model: Paschen series, emission routes and absorptionBridge
- Pulling One Nucleon Out of Oxygen-16Binding energy: nucleon separation energies and Coulomb repulsionBridge
- Shrinking Ringsde Broglie wavelength and electron diffraction (graphite rings)Bridge
- Counting Kiwi in the DarkPhotoelectric effect (night-vision photocathode)Bridge
- The Orange StreetlightsBohr model and line spectra (cascades in sodium)Bridge
- Heat from the Uranium ChainNuclear decay energy and binding energy (radiogenic heat in the Earth)Bridge
- Lowering the Barrier with CaesiumPhotoelectric effect (work function lowered by a caesium layer, stopping potential)Bridge
- Carbon Stripped Almost BareBohr model: hydrogen-like ions (Z² scaling, X-ray and visible lines)Bridge
- The Last Day of a Giant StarNuclear binding energy (silicon burning in massive stars, nickel-56 to iron-56, Coulomb repulsion)Bridge
- The Invisible TripwirePhotoelectric effect (threshold, photocurrent, beam-break alarm)Bridge
- Real Gold or Dutch Metal?Atomic energy levels and line spectra (laser-induced breakdown spectroscopy)Bridge
- Gamma Rays for the BorerNuclear: beta decay energy, excited nuclear states and gamma irradiationBridge