Pearson Edexcel International GCSE Physics (4PH1), Issue 4. Units, graphs of motion, Newton’s laws, Hooke’s law, stopping distances, and Physics-only momentum & moments.
Exam tip
Content marked (P) is Physics-only and is mainly assessed on Paper 2.
Double Award Science usually skips these points; if you study Physics 4PH1, you need all of them.
1. Outline
Topic 1 Forces and motion has three parts. Know which points are for everyone and which are (P) only.
Thinking distance ↑ with speed and slower reaction (tiredness, alcohol, distractions).
Braking distance ↑ with speed, mass, poor road / tyre condition, worn brakes.
Falling objects & terminal velocity
Weight acts downwards; air resistance upwards. As speed rises, drag rises until forces balance → resultant force = 0 → terminal velocity.
Hooke’s law & elastic behaviour
Initial linear region of a force–extension graph follows Hooke’s law (F = kx). Elastic behaviour: material returns to original shape when the deforming force is removed.
Momentum (P)
p = m × v
Unit: kg m/s. Momentum is conserved in collisions (if no external forces). Safety features (crumple zones, airbags) increase collision time → reduce force:
F = (mv − mu) / t
Newton’s third law (P): if A exerts a force on B, B exerts an equal and opposite force on A.
Moments (P)
moment = force × perpendicular distance from pivot
Unit: Nm. Weight acts through the centre of gravity. Principle of moments: for equilibrium, total clockwise moment = total anticlockwise moment.
4. Key formulae & units
Calculation tip
Convert everything to SI before substituting. Distance in m, time in s, mass in kg → force in N and speed in m/s.
Units you must use (1.1 / 1.2P)
Mass
kg
Length / distance
m
Speed / velocity
m/s
Acceleration / g
m/s² or N/kg
Force / weight
N
Time
s
Moment (P)
Nm
Momentum (P)
kg m/s
Core formulae
average speed = s / t
a = (v − u) / t
v² = u² + 2as
F = ma | W = mg
p = mv | F = Δp / t (P)
moment = F × d (P)
5. Self-check questions
Try these yourself first. Answers are in the next section.
State one scalar and one vector quantity from motion.
A car travels 150 m in 12 s. What is its average speed?
On a velocity–time graph, what do the gradient and the area under the line represent?
A 2.0 kg mass accelerates at 3.0 m/s². Calculate the unbalanced force.
Define stopping distance and name two factors that increase braking distance.
What does the linear region of a force–extension graph show?
(P) A 0.50 kg ball moving at 4.0 m/s collides and stops in 0.020 s. Find the average force.
(P) A 12 N force acts 0.25 m from a pivot. Calculate the moment.
6. Self-check answers
Tap / click to show answers
e.g. Scalar: speed / distance / mass. Vector: velocity / force / acceleration / momentum.
150 / 12 = 12.5 m/s.
Gradient = acceleration; area under the line = distance travelled.
Pearson Edexcel International GCSE Physics (4PH1), Issue 4. Mains safety, circuit rules, V = IR, power & energy, charge flow, and Physics-only electrostatics.
Exam tip
Content marked (P) is Physics-only and is mainly assessed on Paper 2.
Electric charge / electrostatics (2.22P–2.28P) is entirely Physics-only.
1. Outline
Part
Content
Scope
2a Units
A, C, J, Ω, s, V, W
All students
2b Mains electricity
Insulation, earthing, fuses, a.c./d.c., power & energy
All students
2c Energy and voltage in circuits
Series/parallel, V = IR, I–V graphs, LDR/thermistor, Q = It, E = QV
All students
2d Electric charge
Conductors/insulators, charging by friction, attraction/repulsion, uses & dangers
(P) only
2. Mains electricity
a.c. and d.c.
a.c. (alternating current) — mains supply; direction reverses periodically.
d.c. (direct current) — cells / batteries; current in one direction.
Safety features
Feature
How it protects
Insulation / double insulation
Prevents contact with live parts; plastic case means no earth needed
Earthing
Low-resistance path to Earth; large fault current blows fuse
Fuse
Melts if current too high; disconnects live wire
Circuit breaker
Trips (opens) on excess current; can be reset
Heating effect
Current in a resistor transfers electrical energy → thermal energy (temperature rises). Used in heaters, kettles, toasters, filament lamps.
Power and energy
P = I × V
E = I × V × t
Choose a fuse rating just above the normal operating current (I = P / V).
3. Energy and voltage in circuits
Series vs parallel
Series: one path; same current through all components; voltages add. If one lamp fails, all go out — not ideal for domestic lighting.
Parallel: same voltage across branches; currents add at junctions. Lamps can be switched independently — used for house lighting.
Current is conserved at a junction. Current in metals = flow of electrons (negative).
Ohm’s law
V = I × R
Higher resistance → smaller current for a given voltage (qualitatively).
I–V characteristics
Ohmic resistor / wire: straight line through origin (constant R).
Filament lamp: resistance rises as filament heats → curve flattens.
Diode: conducts mainly in one direction (forward bias).
LDR and thermistor
LDR: resistance ↓ as light intensity ↑.
Thermistor: resistance ↓ as temperature ↑ (NTC type used at IGCSE).
Lamps and LEDs can indicate that a current is flowing.
Charge and energy
Q = I × t
E = Q × V
Voltage = energy transferred per unit charge (1 V = 1 J/C).
For two resistors in series: currents equal; voltages share; R_total = R₁ + R₂. In parallel, voltages across components are equal.
4. Electric charge (P)
Conductors (e.g. metals) allow charge to flow; insulators (e.g. plastics, rubber) do not.
Insulators can be charged by friction — electrons transferred: one object gains electrons (negative), the other loses electrons (positive).
Like charges repel; unlike charges attract.
Electrostatic phenomena are explained by electron movement (protons stay fixed in the nucleus).
Dangers and uses
Dangers: sparks when fuelling aircraft / tankers → fire risk; earthing / bonding reduces danger.
Pearson Edexcel International GCSE Physics (4PH1), Issue 4. Wave properties, Doppler effect, electromagnetic spectrum, light (reflection, refraction, TIR) and sound.
Exam tip
Content marked (P) is Physics-only (mainly Paper 2). Human hearing range and oscilloscope sound work are (P).
Refractive index and TIR are required for all Physics students.
1. Outline
Part
Content
Scope
3a Units
°, Hz, m, m/s, s
All students
3b Properties of waves
Transverse/longitudinal, amplitude, λ, f, T, v = fλ, Doppler, reflection/refraction
All students
3c EM spectrum
Order, speed in free space, uses, hazards
All students
3d Light and sound
Reflection, refraction, n = sin i / sin r, TIR; sound longitudinal; (P) hearing 20–20 000 Hz
All / (P)
2. Properties of waves
Transverse vs longitudinal
Transverse: oscillations perpendicular to energy transfer (e.g. light, water waves, EM waves).
Longitudinal: oscillations parallel to energy transfer — compressions & rarefactions (e.g. sound).
Waves transfer energy and information without transferring matter.
Key definitions
Amplitude — maximum displacement from the rest position.
Wavelength (λ) — distance between adjacent identical points (e.g. crest to crest).
Frequency (f) — number of waves per second (Hz).
Period (T) — time for one wave; f = 1 / T.
Wavefront — line joining points that are in phase.
v = f × λ
f = 1 / T
Doppler effect
If a wave source moves relative to an observer, the observed frequency and wavelength change. Approach → higher f / shorter λ; recede → lower f / longer λ.
Reflection and refraction
All waves can be reflected and refracted. Refraction occurs when speed changes on entering a new medium (often with a change of direction).
3. The electromagnetic spectrum
Continuous spectrum including radio, microwave, infrared, visible, ultraviolet, X-ray and gamma. All travel at the same speed in free space (speed of light).
Order of increasing frequency / decreasing wavelength →
Pearson Edexcel International GCSE Physics (4PH1), Issue 4. Energy stores & transfers, conservation, efficiency, work, GPE, KE, power, and Physics-only generation.
Exam tip
Content marked (P) is Physics-only. Large-scale electricity generation (4.18P–4.19P) is assessed mainly on Paper 2.
Efficiency, GPE and KE calculations appear frequently on both papers.
Low running cost; depends on sunlight, area needed
*Nuclear fuel is finite, so treated as non-renewable in IGCSE comparisons, though uranium is not a fossil fuel.
Typical chain for thermal power stations: chemical/nuclear store → thermal → kinetic (turbine) → electrical.
5. Key formulae & units
Units you must use (4.1)
Mass
kg
Energy / work
J
Length / height
m
Speed
m/s
Acceleration / g
m/s²
Force
N
Time
s
Power
W
efficiency = useful / total × 100%
W = Fd | GPE = mgh | KE = ½mv²
P = E / t
Calculation tip
For falling / sliding questions, decide whether energy is conserved between GPE and KE, or whether work is done against friction (then useful KE < loss in GPE).
6. Self-check questions
Name three energy stores and two transfer pathways.
A lamp wastes 80 J thermally for every 20 J of useful light. Calculate its efficiency.
How do conduction, convection and radiation differ?
A force of 50 N moves an object 3.0 m in the direction of the force. Find the work done.
Calculate the GPE gained when a 2.0 kg mass is lifted 5.0 m (g = 10 N/kg).
A 0.40 kg ball moves at 5.0 m/s. Calculate its kinetic energy.
An appliance transfers 1200 J in 10 s. What is its power?
(P) Give one advantage and one disadvantage of wind power compared with coal.
7. Self-check answers
Tap / click to show answers
Stores: e.g. chemical, kinetic, gravitational. Pathways: e.g. electrically, by heating / mechanically / by radiation.
Useful = 20 J; total = 100 J; efficiency = 20%.
Conduction: particle vibration in solids. Convection: fluid circulation. Radiation: IR waves; no medium needed.
W = Fd = 50 × 3.0 = 150 J.
GPE = mgh = 2.0 × 10 × 5.0 = 100 J.
KE = ½mv² = 0.5 × 0.40 × 25 = 5.0 J.
P = E/t = 1200/10 = 120 W.
Advantage: renewable / no CO₂ in use. Disadvantage: intermittent / depends on wind; visual or noise impact.
Pearson Edexcel International GCSE Physics (4PH1), Issue 4. Density, pressure, changes of state, specific heat capacity, and ideal gas laws (including Physics-only).
Exam tip
Content marked (P) is Physics-only and is mainly assessed on Paper 2. Double Award Science usually skips these points; if you study Physics 4PH1, you need all of them.
1. Outline
Topic 5 Solids, liquids and gases has four parts. Change of state and specific heat capacity are Physics-only (P).
Pearson Edexcel International GCSE Physics (4PH1), Issue 4. Magnets, electromagnets, the motor effect, generators, and transformers (including Physics-only).
Exam tip
Content marked (P) is Physics-only and is mainly assessed on Paper 2. Double Award Science usually skips these points; if you study Physics 4PH1, you need all of them.
1. Outline
Topic 6 Magnetism and electromagnetism has four parts. Several electromagnetism and transformer points are Physics-only (P).
Part
Content
Scope
6a Units
ampere (A), volt (V), watt (W)
All students
6b Magnetism
Attraction / repulsion; hard & soft; field lines; induced magnetism; uniform field
All students
6c Electromagnetism
Current → magnetic field; motor effect; left-hand rule; force factors
Mixed (some P)
6c (P)
Electromagnet construction; field patterns (wire, coil, solenoid); charged particle in a field
Magnets attract and repel other magnets; they attract magnetic materials (e.g. iron, steel, nickel, cobalt).
Like poles repel; unlike poles attract.
Hard magnetic materials (e.g. steel): keep magnetism → permanent magnets.
Soft magnetic materials (e.g. soft iron): magnetise and demagnetise easily → cores of electromagnets / transformers.
A magnetic field line shows the direction of the force on a north pole; lines leave N and enter S; denser lines = stronger field.
Some materials become magnetised when placed in a magnetic field (induced magnetism).
A uniform field can be made between opposite poles of two permanent magnets facing each other (parallel, equally spaced field lines).
3. Electromagnetism
Current produces a field
An electric current in a conductor produces a magnetic field around it.
(P) Electromagnet: soft-iron core with a coil of wire; field stronger with more turns, larger current, and a soft-iron core.
(P) Sketch field patterns for: straight wire, flat circular coil, and solenoid (inside a solenoid the field is strong and nearly uniform).
Motor effect
A current-carrying wire in a magnetic field experiences a force (unless the current is parallel to the field).
Used in simple d.c. motors and loudspeakers.
Force increases if field strength or current increases, or if a longer length of wire is in the field; reversing current or field reverses the force.
(P) A moving charged particle also feels a force in a magnetic field if its motion is not parallel to the field.
Fleming’s left-hand rule
Remember
First finger — Field (N → S) ·
seCond finger — Current ·
thuMb — Motion (force)
Use the left-hand rule when the wire carries a current perpendicular to the magnetic field to predict the force direction.
4. Electromagnetic induction
Induced voltage
A voltage is induced in a conductor or coil when it moves through a magnetic field, or when the magnetic field through it changes.
Larger induced voltage if: stronger field, faster motion / faster change of field, or more turns on the coil.
Generators
Electricity can be generated by rotating a magnet inside a coil, or rotating a coil in a magnetic field.
Same factors affect the size of the induced voltage (speed of rotation, field strength, number of turns, coil area).
Transformers (P)
Transformer content is Physics-only.
A transformer changes the size of an alternating voltage using different numbers of turns on primary and secondary coils (soft-iron core links the fields).
Step-up: more secondary turns → higher Vs (used before long-distance transmission to reduce current and energy losses).
Step-down: fewer secondary turns → lower Vs (used near homes / appliances).
Formula (1) — Physics-onlyVₚ / Vₛ = Nₚ / Nₛ
Formula (2) — 100% efficient (P)Vₚ Iₚ = Vₛ Iₛ
Vₚ, Vₛ = primary / secondary voltages (V)
Nₚ, Nₛ = primary / secondary turns
Iₚ, Iₛ = primary / secondary currents (A)
For 100% efficiency, input power = output power.
5. Key formulae & units
Exam tip
4PH1 does not require F = BIL as a listed formula. You must use the left-hand rule and describe how force depends on field, current and length qualitatively.
Units you must use (6.1)
Current
A
Voltage
V
Power
W
Transformer formulae (P)
Vₚ / Vₛ = Nₚ / Nₛ
Vₚ Iₚ = Vₛ Iₛ(100% efficient)
6. Self-check questions
Try these yourself first. Answers are in the next section.
State the difference between magnetically hard and soft materials, with one example of each.
How can two bar magnets produce a uniform magnetic field?
What happens to the force on a current-carrying wire if the current is reversed?
State Fleming’s left-hand rule (what each finger / thumb represents).
Give two ways to increase the voltage induced in a generator coil.
(P) A transformer has Np = 500 and Ns = 100. If Vp = 230 V, find Vs.
(P) Why are step-up transformers used in the transmission of electrical energy?
(P) For a 100% efficient transformer, Vp = 230 V, Ip = 2.0 A and Vs = 11.5 V. Find Is.
Pearson Edexcel International GCSE Physics (4PH1), Issue 4. Atomic structure, ionising radiation, half-life, uses and hazards, fission and fusion.
Exam tip
Paper 1 covers non-bold content across topics; Paper 2 can assess any content in greater depth. Practise balancing nuclear equations and half-life graphs — both are frequent exam favourites.
1. Outline
Topic 7 Radioactivity and particles has three parts. There is no separate Physics-only block, but fission/fusion detail is examined carefully.
Pearson Edexcel International GCSE Physics (4PH1), Issue 4. Universe structure, orbits, stellar evolution, and cosmology (including Physics-only).
Exam tip
Content marked (P) is Physics-only and is mainly assessed on Paper 2.
Double Award Science usually skips these points; if you study Physics 4PH1, you need all of them.
1. Outline
Topic 8 Astrophysics has four parts. Know which points are for everyone and which are (P) only.
Part
Content
Scope
8a Units
kg, m, m/s, m/s², N, s, N/kg
All students
8b Motion in the universe
Structure of the universe, g, gravity & orbits, orbital speed
All students
8c Stellar evolution
Colour / temperature; Sun-like and more-massive star life cycles
Big Bang, red-shift, CMB, Doppler / wavelength equation
Physics-only
2. Motion in the universe
Structure of the universe (largest → smaller) and how gravity keeps objects in orbit.
The universe is a large collection of billions of galaxies.
A galaxy is a large collection of billions of stars.
Our solar system is in the Milky Way galaxy.
Gravitational field strength g varies: it is different on other planets and the Moon from that on Earth (depends on mass and distance from the centre).
What gravity causes
Gravitational force causes:
moons to orbit planets
planets to orbit the Sun
artificial satellites to orbit the Earth
comets to orbit the Sun
Orbit shapes — learn the differences
Planets: nearly circular; roughly in the same plane.
Moons: orbit their planet; usually nearly circular.
Comets: highly elliptical; often not in the planetary plane; move fastest near the Sun and slowest when far away.
Orbital speed
Formula (1)v = 2πr / T
v = orbital speed (m/s)
r = orbital radius (m)
T = time period (s)
Circumference of a circle = 2πr; speed = distance ÷ time
3. Stellar evolution
Colour and surface temperature
Stars can be classified by colour.
Colour is related to surface temperature.
Blue / white → hotter; yellow → medium (like the Sun); red → cooler.
Stars of similar mass to the Sun
nebula → main-sequence star → red giant → white dwarf
On the main sequence, the star is stable because of nuclear fusion in the core.
Stars more massive than the Sun
nebula → main sequence → red supergiant → supernova → neutron star or black hole
Only the most massive remnants become a black hole; less extreme cases end as a neutron star.
Physics-only (P)
Absolute magnitude: brightness as if the star were at a standard distance (so different stars can be compared fairly).
HR diagram (Hertzsprung–Russell): horizontal axis usually temperature / colour (hot on the left); vertical axis absolute magnitude / brightness.
Main regions: main sequence (diagonal band), red giants / supergiants (upper right), white dwarfs (lower left).
4. Cosmology
The whole Cosmology section is Physics-only (P).
Big Bang theory
The universe began in an extremely hot, dense state and has been expanding ever since.
Evidence 1 — red-shift: light from most distant galaxies is shifted toward longer (redder) wavelengths.
Evidence 2 — CMB: cosmic microwave background radiation — leftover microwave glow from the hot early universe.
Doppler idea
If a wave source moves relative to an observer, the observed frequency and wavelength change.
A galaxy moving away → longer observed wavelength → red-shift.
Formula (2) — Physics-onlyΔλ / λ₀ = v / c
Δλ = change in wavelength
λ₀ = reference (rest / laboratory) wavelength
v = velocity of the galaxy (recession speed)
c = speed of light
More distant galaxies → larger red-shift → larger recession speed → supports expansion of the universe.
5. Key formulae & units
Calculation tip
For orbit questions always use SI units: r in metres, T in seconds,
so v comes out in m/s. Convert years to seconds first
(× 365 × 24 × 3600) when needed.
Units you must use (8.1)
Mass
kg
Length / radius
m
Speed
m/s
Acceleration / g
m/s² or N/kg
Force
N
Time
s
Formula (1) — orbital speed
v = 2πr / T
Formula (2) — red-shift (P)
Δλ / λ₀ = v / c
6. Self-check questions
Try these yourself first. Answers are in the next section.
How are the universe, galaxies, stars and the solar system related? Which galaxy are we in?
Why is g different on the Moon from on Earth?
A satellite has orbital radius 7.0 × 10⁶ m and period 5800 s. What is its approximate orbital speed? (2 s.f.)
What are the main differences between a comet’s orbit and a planet’s orbit?
Which has the higher surface temperature: a red star or a blue star?
Write the evolutionary path of a Sun-like star from nebula to its final stage.
(P) Name the two main pieces of evidence for the Big Bang theory.
(P) Why does a larger red-shift for more distant galaxies support expansion of the universe?
7. Self-check answers
Tap / click to show answers
The universe contains billions of galaxies; each galaxy contains billions of stars; our solar system is in the Milky Way.
g depends on the mass of the body and the distance to its surface (or centre). The Moon has smaller mass (and a different radius), so g is smaller than on Earth.
v = 2πr / T ≈ 2 × 3.14 × 7.0×10⁶ / 5800 ≈ 7600 m/s (about 7.6 × 10³ m/s).
Comets: highly elliptical, often not in the planetary plane. Planets: nearly circular, roughly in the same plane.
Blue stars are hotter; red stars are cooler.
nebula → main sequence → red giant → white dwarf.
Red-shift of distant galaxies and the cosmic microwave background (CMB).
Greater distance → larger red-shift → greater recession speed → consistent with the whole universe expanding.