Edexcel International GCSE Physics (Grade 9-1) - Complete Comprehensive Study Notes
Section 1: Forces and Motion - Velocity and Acceleration
Speed vs. Velocity:
Speed: A scalar quantity describing how fast an object is moving (e.g., or ). It disregards direction.
Velocity: A vector quantity that specifies both speed and direction (e.g., North or ).
Constant Speed, Changing Velocity: An object can have a constant speed but a changing velocity if it is changing its direction (e.g., moving in a circle).
Average Speed Formula: ().
Example: A cat skulks in . Average speed is . Time taken to skulk is (or ).
Acceleration:
Definition: Acceleration is how quickly velocity is changing. This change can be in speed, direction, or both.
Unit: Measured in .
Formula 1 (Constant Acceleration): (), where is final velocity and is initial velocity.
Deceleration: A negative value for acceleration indicates the object is slowing down.
Formula 2 (Velocity-Distance Relationship): , where is distance traveled while accelerating.
Example 1: A cat accelerates from to in . Acceleration .
Example 2: A van at decelerates uniformly at for . Final velocity .
Section 1: Distance-Time and Velocity-Time Graphs
Distance-Time Graphs:
Gradient (Slope): Represents the speed of the object.
Flat Sections: Indicate the object has stopped.
Steeper Gradient: Indicates a faster speed.
Curves: Represent acceleration (getting steeper) or deceleration (levelling off).
Calculating Average Speed: Divide the total distance by the total time taken ().
Velocity-Time Graphs:
Gradient (Slope): Represents the acceleration ().
Flat Sections: Represent steady/constant speed.
Uphill (/) vs. Downhill (): Uphill is acceleration; downhill is deceleration.
Area Under the Graph: Represents the total distance traveled in that time interval.
Curves: Indicate changing acceleration.
Example Calculation: Acceleration of a section moving from to in is . Shaded area between and at equals .
Section 1: Mass, Weight, and Gravity
Gravity Basics:
Gravity is the force of attraction between all masses. It is mostly noticeable near large masses like planets.
Three Effects: Accelerated fall towards Earth (at ), giving objects weight, and keeping planets/satellites in orbit.
Mass vs. Weight:
Mass: The amount of "stuff" in an object, measured in kilograms (). It is constant throughout the universe.
Weight: The force of gravity pulling on a mass, measured in newtons (). It varies depending on the gravitational field strength ().
Measurement: Weight is measured with a spring balance (newton meter); mass is measured with a mass balance.
Relationship Formula: ().
Values of g: Earth . Moon .
Example: A mass weighs on Earth () and on the Moon ().
Section 1: Forces and Friction
Types of Force:
Gravity/Weight: Acts straight downwards.
Reaction Force: Acts perpendicular to and away from a surface.
Electrostatic Force: Between charged objects (Like repel, opposites attract).
Thrust: Push/pull from engines or rockets.
Drag/Air Resistance/Friction: Opposes motion.
Lift: Upward force from wings.
Tension: Pulling force in ropes or cables.
Friction:
Force that opposes motion. Occurs in three ways: Static friction (gripping solids), Sliding friction (sliding solids), and Fluid friction (drag in liquids/gases).
Reducing Friction: Use lubricants (oil/grease) for solids; streamline shapes for fluids (e.g., sports cars, boat hulls).
Speed Dependency: In fluids, friction always increases as speed increases.
Section 1: Practical - Investigating Motion
Toy Car Experiment:
Set-up: Ramp with light gates connected to a computer. Mark a start line and measure the distance between gates.
Procedure: Release car without pushing it. Light gates record timing as the car breaks the light beam.
Variables to Investigate: Load weights to change mass, use different materials on the ramp for friction, change ramp angle, or start the car higher up for gravity acceleration.
Reliability Tip: Use light gates instead of stopwatches to eliminate human reaction time errors.
Section 1: Newton's Three Laws of Motion
First Law: If forces are balanced, an object remains stationary or continues moving at a constant velocity. A steady speed indicates zero resultant force.
Second Law: If there is an unbalanced (resultant) force, the object will accelerate in that direction. Acceleration can be starting, stopping, speeding up, slowing down, or changing direction.
Formula: ().
Example: A car of with a resultant force of has acceleration .
Third Law: If object A exerts a force on object B, then object B exerts an equal and opposite force on object A. These forces act on different objects.
Example: In swimming, pushing the water back causes the water to push the body forward.
Section 1: Vectors and Scalar Quantities
Vectors: Have both size (magnitude) and direction (e.g., Force, Velocity, Acceleration, Momentum).
Scalars: Have size only (e.g., Mass, Temperature, Time, Length).
Combining Vectors: Use direction positive (e.g., North = positive). Combine arrows end-to-end to find Resultant Force.
Example: North, South, and South yields , which is South.
Section 1: Terminal Velocity
Process of Falling:
Falling object starts with high acceleration (gravity > drag).
Velocity increases, building up resistance/drag.
Resistance reduces acceleration until gravity = resistance.
Object reaches terminal velocity (steady speed).
Shape and Area: Drag depends on shape and area. A skydiver without a parachute has small area and high terminal velocity (). With a parachute, area increases significantly, lowering terminal velocity to a safe .
Section 1: Hooke's Law
Definition: Extension of a stretched wire/spring is proportional to the applied load (Force), provided the elastic limit is not exceeded.
Formula Logic: .
Elastic Limit (Point E): If force exceeds this, the material will be permanently stretched (plastic deformation).
Elastic Behaviour: The ability of a material to return to its original shape after removing the force.
Practical: Measure natural spring length, add masses, record new lengths. Extension = . Plot Force-Extension graph; Hooke's Law is shown by a straight line through the origin.
Section 1: Stopping Distances
Formula: .
Thinking Distance Factors: Speed, Reaction time (tiredness, alcohol, drugs, age, experience).
Braking Distance Factors: Speed, Mass of vehicle, Brake condition, Grip (road surface, weather, tyres).
Specific Ranges: At , typical stopping distance is ( thinking + braking).
Section 1: Momentum and Collisions
Momentum Formula: (). Unit: .
Conservation of Momentum: Total momentum before a collision = Total momentum after a collision (if no external forces act).
Force and Momentum: ().
Car Safety: Crumple zones, seat belts (stretch), and air bags increase the time taken for a crash, thereby reducing the force () on the body to minimize injury.
Section 1: Turning Effects and Moments
Moment Definition: The turning effect of a force.
Formula: . Unit: .
Max Moment: Achieved by pushing at right angles to the pivot.
Centre of Gravity: The point through which the weight of a body acts. A suspended object rests with its centre of gravity vertically below the pivot.
Principle of Moments: For a balanced object, Total Anticlockwise Moments = Total Clockwise Moments.
Support Force: If an object is placed on a rod supported at both ends, the support closest to the object provides a larger force.
Section 2: Electricity - Circuits and Basics
Current (): Rate of flow of charge (electrons) in a circuit. Unit: Amperes ().
Voltage (): Potential difference that drives current. Unit: Volts ().
Resistance (): Opposes flow. Unit: Ohms (). Addition of components increases resistance.
Ohmic Relationship: . Gradient of an graph shows inverse resistance behaviour (steeper = lower resistance).
Test Circuit: Ammeter in series, Voltmeter in parallel with the component. Variable resistor used to change the current.
Standard Supplies: UK Mains is approx , alternating current (). Batteries supply direct current ().
Section 2: Component Characteristics
Current-Voltage Graphs:
Fixed Resistor/Wire: Straight line through origin (Current proportional to Voltage at constant temp).
Filament Lamp: Curved "S" shape (resistance increases as filament gets hot).
Diode: Current only flows in one direction; high resistance in reverse.
Light-Dependent Resistor (LDR): Resistance falls in bright light, rises in darkness. Used for burglar detectors.
Thermistor: Resistance drops in hot conditions, rises in cool conditions. Used for car engine sensors and fire alarms.
Light-Emitting Diodes (LEDs): Emit light when current flows in forward direction. Used as indicator lights or in remote controls.
Section 2: Series and Parallel Circuits
Series Circuits:
Single path; disconnected component breaks the whole circuit.
Total Voltage is shared:
Current is the same everywhere:
Total Resistance: Sum of all resistances ().
Parallel Circuits:
Independent branches; removing one does not affect others. Standard for home electrics.
Voltage is the same across all branches:
Current is shared between branches:
Junctions: Total current entering a junction equals total current leaving it.
Adding a second resistor in parallel decreases total resistance.
Section 2: Charge, Energy, and Safety
Charge Formula: (). Unit: Coulombs ().
Work/Energy Formula: (). Unit: Joules ().
Voltage Definition: One volt is one joule per coulomb ().
Energy and Resistance: .
Safety Features:
Three Wires: Live (Brown), Neutral (Blue), Earth (Green/Yellow).
Fuse: Melts and breaks the circuit if current exceeds rating.
Earth Wire: Attached to metal case; provides a low-resistance path if live wire touches case, blowing the fuse.
Double Insulation: Plastic casing requires no earth wire.
Circuit Breaker (RCCB): Detects current difference between live and neutral. Faster than fuses; can be reset.
Power and Energy:
().
().
Section 2: Static Electricity
Nature of Static: Caused by the build-up of charges that aren't free to move. Most common in insulators.
Friction: Rubbing insulators causes electrons to be scraped off one and dumped on the other. Positive static is the absence of electrons.
Interactions: Like charges repel; opposite charges attract.
Examples:
Polythene rod: Electrons move from duster to rod (Rod -ve).
Acetate rod: Electrons move from rod to duster (Rod +ve).
Detection: Gold-leaf electroscope (foil rises due to repulsion).
Risks/Uses:
Lightning: Huge spark between cloud and earth.
Fuel Filling: Static build-up in pipes can cause sparks and explosions; avoided with metal nozzles and earthing straps.
Inkjet Printer: Droplets deflected by charged plates.
Photocopier: Charged image plate attracts black powder (toner).
Section 3: Waves - Basics
Key Terms:
Wavelength (): Distance from peak to peak ().
Frequency (): Number of waves per second ().
Amplitude: Height from rest position to crest ().
Period (): Time for one complete wave (). Formula: .
Wave Speed: ().
Wave Types:
Transverse: Vibrations are at to energy transfer direction (e.g., light, EM waves, water ripples).
Longitudinal: Vibrations are along the same direction as energy transfer (e.g., sound, ultrasound, shock waves). Consist of compressions and rarefactions.
Doppler Effect: Observed change in frequency/wavelength when a source is moving relative to an observer. Source moving towards sounds higher pitched (short ); moving away sounds lower pitched (long ).
Section 3: Electromagnetic (EM) Spectrum
Properties: All EM waves are transverse and travel at in a vacuum.
Order (Long / Low to Short / High ): Radio, Microwaves, Infrared, Visible Light (ROYGBIV), UV, X-Rays, Gamma Rays.
Uses:
Radio: Communication (Long-wave bends around Earth; Short-wave reflects off ionosphere).
Microwaves: Satellite TV/phones, heating food (absorbed by water molecules).
Infrared: Heaters, night vision equipment, grills.
Visible Light: Optical fibres (total internal reflection), photography.
Ultraviolet: Fluorescent lamps (efficiency).
X-Rays: Medicine (view bones; pass through flesh, not bone).
Gamma Rays: Sterilising medical equipment and food (kills microbes).
Dangers:
Microwaves: Internal heating of body tissue.
Infrared: Skin burns.
Ultraviolet: Skin cell damage, blindness, cell mutation/cancer (ionising).
Gamma Rays: High energy ionising radiation; cell mutation and tissue damage.
Section 3: Light Reflection and Refraction
Reflection: Law of Reflection states Angle of Incidence () = Angle of Reflection (). Normal is the dashed line perpendicular to the surface.
Refraction: Change in wave direction when entering a medium of different density. Entering denser medium: Bends towards the Normal. Entering less dense medium: Bends away from the Normal.
Snell’s Law: .
Refractive Index Definition: . Typical glass , water .
Total Internal Reflection (TIR): Occurs when light travels from dense to less dense medium and the angle of incidence is greater than the Critical Angle ().
Critical Angle Formula: .
Applications: Optical fibres (narrow core), Periscopes (using prisms).
Section 3: Sound Waves
Nature: Longitudinal waves requiring a medium. Cannot travel in a vacuum. Speed increases with material density (solid > liquid > gas).
Human Hearing Range: to .
Pitch vs. Loudness:
Pitch depends on frequency (High = high pitch).
Loudness depends on amplitude (High amplitude = loud).
Oscilloscope Display: Displays vibration patterns. Period () is time for one wave; .
Sound Speed Practical: Use two microphones and an oscilloscope. Measure distance between microphones when waves align to find . Calculate .
Section 4: Energy Resources and Transfer
Energy Stores: Kinetic, Thermal, Chemical, Gravitational Potential, Elastic Potential, Electrostatic, Magnetic, Nuclear.
Transfer Mechanisms: Mechanically (forces), Electrically (moving charge), By Heating (hot to cold), By Radiation (light/sound).
Conservation of Energy: Energy cannot be created or destroyed, only transferred. Total input = Useful output + Wasted ().
Efficiency Formula: .
Maths of Work and Power:
().
().
Potential and Kinetic Energy Equations:
Ideal Fall: .
Section 4: Thermal Transfer Mechanisms
Conduction: Main heating in solids. Vibrating particles transfer kinetic energy to neighbors.
Convection: Heating in liquids/gases. Hot fluid becomes less dense and rises; cold fluid sinks (Convection current).
Radiation: Transfer by IR (Infrared) waves. Does not require particles (can travel in vacuum). Hotter objects emit more IR than they absorb.
Surfaces and IR: Matt Black is the best absorber and emitter. Shiny/White are the worst absorbers (best reflectors) and worst emitters.
Insulation: Traps air in small pockets to stop convection and reduce conduction (air at a low thermal conductivity).
Section 4: Energy Resources - Renewables vs. Non-Renewables
Non-Renewables: Fossil Fuels (Coal, Oil, Natural Gas) and Nuclear. Reliable but pollutive (CO2, SO2, radioactive waste) and will run out.
Typical Power Station: Boiler (heat water) -> Steam turns Turbine -> Generator (produces current).
Renewables:
Wind: Kinetic energy of air turns blades. Renewable, no pollution, but noisy and weather-dependent.
Geothermal: Heat from radioactive decay in rocks. High set-up cost but free and reliable.
Solar Cells: Direct conversion of sunlight to expensive set-up, weather dependent.
Wave: Coastal generators driven by water motion. High cost, unreliable.
Tidal Barrages: Estuary dams using tides. Reliable periodicity but affects habitats.
Hydroelectric: Flooding valleys; GPE to KE. Reliable, immediate response to demand.
Pumped Storage: Uses night surplus electricity to pump water up; used for peak demand.
Section 5: Solids, Liquids, and Gases
Density Formula: . Unit: or .
Pressure Formula: . Unit: Pascals ().
Pressure in Liquids/Gases: . Pressure acts equally in all directions.
States of Matter:
Solid: Strong forces, fixed regular arrangement, vibratory motion.
Liquid: Weaker forces, close together but move past each other, irregular.
Gas: Almost no forces, free moving, high speed, random directions.
Evaporation: Faster particles escape surface, decreasing average kinetic energy and cooling the remaining liquid.
Temperature Scales: Absolute zero is (). Particles have minimal energy. Conversion: .
Ideals Gas Laws:
(at constant Temp).
(at constant Volume; Temp in Kelvin).
Specific Heat Capacity: Change in thermal energy () = . Quantity needed to raise by .
Section 6: Magnetism and Electromagnetism
Magnetic Fields: Move from North to South. Seen with compasses or iron filings.
Soft vs. Hard Magnetic Materials: Soft (e.g., Iron) loses magnetism easily; Hard (e.g., Steel) keeps it temporarily. Iron cores used in electromagnets.
Electromagnets: Current flowing in a solenoid creates a bar-magnet field pattern. Induced magnetism increased by adding an iron core.
The Motor Effect: Current-carrying wire in a magnetic field experiences a force (Fleming’s Left Hand Rule: thumb = Motion, first finger = Field, second finger = Current).
Simple D.C. Motor: Coil on a spindle rotates; split-ring commutator swaps contacts to keep rotation continuous.
Electromagnetic Induction: Creating voltage in a wire experiencing change in magnetic field (move wire or magnet). Generator (a.c.) uses slip rings and brushes.
Transformers: Change alternating voltage using two coils on an iron core.
Equation: .
Power Efficiency: .
Transmission: Step-up transformer used at power stations to reduce heat loss in grid by boosting voltage (lowering current).
Section 7: Radioactivity
Structure: Nucleus (protons + neutrons), Electrons (outside). Mass number (nucleons), Atomic number (protons).
Isotopes: Same proton count, different neutron count. Unstable isotopes emit radiation.
Radiation Types:
Alpha (): (Helium nucleus). Heavy, slow, high ionising, low penetration (stopped by paper).
Beta (): Electron from nucleus. Fast, small, moderate ionising, moderate penetration (stopped by thin metal).
Gamma (): EM wave. No mass/charge, weakly ionising, high penetration (stopped by thick lead).
Half-Life: Time taken for half of the radioactive atoms to decay or activity to fall by half. Used for isotope dating and medical tracing.
Uses: Tracers (Gamma/Beta), Medicine (Check organs with iodine-123), Treating Cancer (Radiotherapy), Sterilising (Gamma rays), Industry (Thickness control using Beta).
Nuclear Fission: Splitting heavy nuclei (U-235). Uses control rods (absorb neutrons) and moderators (slow neutrons).
Nuclear Fusion: Joining light nuclei (Hydrogen) at high T/P () to overcome electrostatic repulsion.
Section 8: Astrophysics
Hierarchy: Universe contains billions of Galaxies. Galaxy contains billions of Stars. Solar System contains one Star (Sun) + Planets, Dwarf Planets, Moons, Comets.
Orbits: Gravity (gravitational force) provides centripetal force for orbit. Faster speed requires smaller radius.
Orbital speed formula: .
Stellar Evolution:
Nebula -> Protostar -> Main Sequence Star.
Small Stars: Red Giant -> White Dwarf.
Large Stars: Red Supergiant -> Supernova -> Neutron Star or Black Hole.
Classification: By color (Blue hottest, Red coolest). Absolute magnitude measures brightness at fixed distance.
Hertzsprung-Russell: Graph of absolute magnitude vs. temperature showing main sequence, giants, and white dwarfs.
Red-shift: Expansion of the universe causes light from distant galaxies to shift toward longer wavelengths.
Formula: .
Big Bang Proof: Observed red-shift of all distant galaxies and Cosmic Microwave Background (CMB) radiation.
Questions & Discussion (Interactive Practical Insights)
Q: Why use light gates instead of a stopwatch for toy cars?
A: To eliminate human reaction time errors, which are significant over short intervals.
Q: Which wire is a fuse connected to?
A: The Live wire.
Q: What is absolute zero?
A: (), where particles have as little kinetic energy as possible.
Q: Explain the difference between contamination and irradiation.
A: Irradiation is exposure to radiation; contamination is the presence of radioactive particles on/in an object.
Q: How do control rods work in a nuclear reactor?
A: They absorb excess neutrons to prevent the chain reaction from going out of control.
Q: Why do comets travel faster near the Sun?
A: The increased pull of gravity at a closer distance causes the comet to accelerate speeds up to maintain its elliptical orbit.