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Displacement (s)
Distance in a given direction. Unit: metre (m)
Velocity (v)
Rate of change of displacement. Unit: metre per second (m/s)
Acceleration (a)
Rate of change of velocity. Unit: metre per second squared (m/s²)
Force (F)
Anything that tends to move an object and causes acceleration. Unit: newton (N)
Mass (m)
The amount of matter in an object. Unit: kilogram (kg)
Newton’s First Law
An object will remain at rest, or travelling at constant velocity unless acted on by an exterior force
Newton’s Second Law
The rate of change of an object’s momentum is proportional to the force applied (F = ma)
Newton’s Third Law
Every action has an equal and opposite reaction.
F = ma Derivation
Force ∝ Rate of change in momentum
Force ∝ change in momentum/time
Force ∝ mv-mu/t
Force ∝ m(v-u/t)
Momentum (p)
Product of mass and velocity. p = mv. Unit: kgms^-1
Principle of Conservation of Momentum
In any interaction between two or more objects, their total momentum before their interactions will equal their total momentum after the interaction, provided no external forces act on the objects
Newton’s Law of Gravitation
The force of gravity between any two objects is
proportional to the product of their masses
inversely proportional to the distance between them squared
F = Gm₁m₂/d²
Work (W)
When a force moves an object through a distance. Unit: joule (J)
Energy (E)
Ability to do work. Unit: joule (J)
Kinetic Energy (Ek)
Energy due to motion. = ½mv². Unit: joule (J)
Potential Energy (Ep)
Energy due to position. = mgh. Unit: joule (J)
Principle of Conservation of Energy
Energy cannot be created or destroyed, only changed from one form to another.
Power (P)
Rate at which work is done and energy is converted. P = W/t. Unit: watt (W)
Heat
A form of energy due to the motion of molecules. Unit: joule (J)
Temperature (T)
A measure of how hot or cold an object is. Unit: °C or K
Thermometric Property
Physical property that changes measurably with temperature (e.g. length, resistance).
Examples of Thermometers
Mercury thermometer (length), thermistor (resistance), thermocouple (voltage)
Heat Capacity (C)
Heat required to change the temperature of an object by 1°C. Unit: J/°C
Specific Heat Capacity (c)
Heat required to change 1 kg of a substance by 1°C. Unit: J/kg·°C
Latent Heat (L)
Heat needed to change state without changing temperature. Unit: joule (J)
Specific Latent Heat (l)
Heat energy required to change the state of 1 kg of a substance without changing the temperature
Unit: J/kg
Conduction
Heat transfer through solids by particle vibration.
Convection
transfer of heat energy through circulating currents in a fluid
Radiation
Transfer of heat through electromagnetic waves (no medium required).
Reflection
Bouncing of light off a surface.
Incident Ray
Incoming light ray.
Angle of Incidence (i)
Angle between incident ray and normal.
Reflected Ray
Ray that bounces off the surface.
Angle of Reflection (r)
Angle between reflected ray and normal.
Laws of Reflection
i = r
incident ray, normal and reflected ray lie on the same plane.
Concave Mirror
Converging mirror (curves inward).
Convex Mirror
Diverging mirror (curves outward).
Ray Diagram Components
Principal axis, centre of curvature, focal point, object, image.
Refraction
Bending of light as it passes from one medium to another.
Refracted Ray
Ray that bends in the new medium.
Angle of Refraction (r)
Angle between refracted ray and normal.
Laws of Refraction / Snell’s Law
n = sin i / sin r
Refractive Index (n)
Measure of how much light is bent in a medium.
Apparent Depth
Depth an object appears to be due to refraction; real depth > apparent depth.
Mechanical Wave
Needs a medium (e.g. sound).
Electromagnetic Wave
Doesn’t need a medium (e.g. light).
Transverse Wave
Oscillate perpendicular to wave direction (e.g. light).
Longitudinal Wave
Oscillate parallel to wave direction (e.g. sound).
Amplitude (A)
how high or low the wave goes from its middle/rest position
Wavelength (λ)
Distance between two peaks. Unit: metre (m)
Frequency (f)
Number of waves per second. Unit: hertz (Hz)
Period (T)
Time for one cycle. T = 1/f. Unit: seconds (s)
Reflection in waves
Bouncing back of a wave at a boundary.
Refraction in waves
Bending of a wave at a boundary.
Diffraction
Bending of the wave around an obstacle
Interference
When two waves meet and combine.
Constructive Interference
Waves add to form a larger amplitude.
Destructive Interference
Waves cancel out.
Coherent Sources
Waves with same frequency and constant phase difference.
Polarisation
Filtering waves so they vibrate in one plane only.
Standing/Stationary Wave
Wave that doesn’t appear to travel; nodes and antinodes form.
Node
Point of no displacement.
Antinode
Point of maximum displacement.
Overtone
extra vibration frequencies produced in a string or air column that are multiples of the fundamental frequency
Harmonic
Frequencies at which a system naturally vibrates.
Factors affecting Fundamental Frequency
Length, tension, and mass per unit length of the string.
Sound Characteristics
Pitch (frequency), loudness (amplitude), quality (harmonics).
Light Characteristics
Colour (wavelength), intensity (amplitude), polarisation.
Resonance
The increase in amplitude of an object when driven at its natural frequency by an external force.
Electromagnetic Spectrum
Range of EM waves by frequency.
Dispersion
Separation of light into colours.
Charge by Friction
Rubbing transfers electrons → one becomes positive, one negative.
Charge by Induction
Bringing a charged object near causes redistribution of charges.
Gold Leaf Electroscope
Device used to detect charge and rough size of potential difference
Point Effect
High charge concentration at sharp points → ions escape easily.
Voltage (V)
Potential difference; energy per unit charge. Unit: volt (V)
voltage
Work done moving charge.
EMF (ε)
Energy supplied per unit charge by a source.
Current (I)
Flow of charge. I = Q/t. Unit: ampere (A)
Resistance (R)
acts as opposition to current. V = IR. Unit: ohm (Ω)
Series Circuit
Components connected one after another → same current.
Parallel Circuit
Components connected across same voltage → current splits.
Ohm’s Law
V ∝ I if temperature is constant.
Resistivity (ρ)
Property of material resisting current. Unit: Ω·m
Ring Main Circuit
Domestic wiring loop → multiple sockets.
Radial Circuit
Circuit from fuse board to one appliance.
Light Circuit
Domestic circuit for lighting.
Fuse
Safety device melts if current too high.
MCB
Miniature Circuit Breaker; trips if current too high.
RCD
Residual Current Device; detects current imbalance.
Earthing
Connecting to ground to prevent electric shock.