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What is the universe?
Definition: All of space, time, matter and energy that exists, including all galaxies
What is a star/sun?
Definition: A large luminous sphere of gas/plasma held together by gravity
What is a planet? What effect does it have on other objects?
Definition: A large body of matter that orbits a sun
Its gravity is large enough to clear the surrounding area of other objects
What is a galaxy? What are the types of galaxies?
Definition: A group of solar systems that are held together by a gravitational force
Types: Spiral, elliptical, peculiar, irregular, barred spiral
The Milky Way is a barred spiral
What is a solar system? What are the planets (in order) of our solar system?
Definition: A series of planets and moons orbiting the same star/sun
Memory cue: My Very Educated Mother Just Served Us Nachos
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune
What is an Astronomical Unit?
Definition: The distance from the Earth to the Sun (AU)
Used to measure distances within our solar system
EG Distance between planets, distance from the Sun to other planets
1 AU = 149,598,000 km
What is a light year?
Definition: The distance light travels in one year (ly)
1 ly = 9.46 trillion km
Used for distances to nearby stars
What is parallax? How is parallax used to measure the distance to stars?
Definition: The apparent change in the position of an object when viewed by an observer from a different position
Used to measure the distance to nearby stars
Nearby stars show a larger apparent shift than distant stars
The larger the parallax angle, the closer the star
How do you calculate distance using parallax?
Distance (pc) = 1 ÷ parallax angle (arcseconds)
e.g. parallax of 0.5 arcseconds: d = 1 ÷ 0.5 = 2.00 pc
What is a Parsec?
Definition: The distance from an object whose parallax angle is 1 arcsecond (pc)
1 arcsecond = 1/3600th of a degree
Generally measured from the sun to the object
1 pc = 3.26 light years (about 31 trillion km)
Used for distances to stars and star clusters
What is a megaparsec?
Definition: 1 million parsecs (Mpc)
About 3.26 million light years
Used for distances to galaxies and galaxy clusters
How do the AU, light year, parsec and megaparsec compare?
Smallest to largest: AU → Light Year → Parsec → Megaparsec
1 ly ≈ 63,000 AU
1 pc = 3.26 ly
1 Mpc = 1,000,000 pc
How do you convert between astronomical units?
To a bigger unit, divide, e.g. 6.52 ly ÷ 3.26 = 2.00 pc
To a smaller unit, multiply, e.g. 2 pc × 3.26 = 6.52 ly
What does the colour of a star depend on? What can be determined from it?
The colour of a star depends on its surface temperature
From colour, its surface temperature can be found
Hottest to coolest: blue → white → yellow → orange → red
Most stars are either red or orange
What is the difference between luminosity and apparent brightness?
Luminosity: a star's actual brightness (how much light it gives off)
Apparent brightness: how bright the star looks from Earth
Apparent brightness depends on the star's luminosity and its distance from Earth
What is the dispersion of white light?
Definition: The process of white light dispersing into its different colours when it passes through a triangular glass prism
White light contains all the colours of the visible spectrum
Each colour is refracted (bent) by a different amount as it passes through the prism
Causes the colours to spread out and form a spectrum
What colours does white light disperse into? How do their wavelength and frequency differ?
6 Colours: Red, Orange, Yellow, Green, Blue, Violet
Frequency increases and wavelength shortens moving from Red to Violet
What is an emission spectrum? How is it viewed and what can be determined from it?
Definition: The unique pattern of narrow, discrete bands of coloured light produced when the light emitted by a heated element is separated
When an element is heated, its atoms emit light which can be separated into narrow, discrete bands of colour
The bands of colour are characteristic of that particular element
An emission spectrum can be viewed using a spectroscope • Since every element has a unique emission spectrum, it can be used to identify the elements present
What is an absorption spectrum? What can be determined from it?
Definition: The unique pattern of dark lines produced when white light passes through a cold gas element, and the gas absorbs specific wavelengths
A cool element absorbs the same colours of light that it emits when heated
Each element has a unique absorption spectrum
An absorption spectrum can be used to identify the elements present in a gas or the outer atmosphere of a star
What do the dark bands of a star's absorption spectrum tell you compared to the emission spectrum of the same star?
The dark bands occur at the same wavelengths as the bright lines in its emission spectrum
This confirms the star's elemental composition, as each element has a unique pattern of spectral lines
What implication do red and blue shift have for the motion of stars relative to Earth?
Red shift and blue shift show whether a star or galaxy is moving away from or towards Earth
Red shift: Light is shifted towards the red end of the spectrum, indicating the star or galaxy is moving away from Earth
Blue shift: Light is shifted towards the blue end of the spectrum, indicating the star or galaxy is moving towards Earth
The greater the shift, the faster the object is moving
Red and blue shift are caused by the Doppler effect
How do red and blue shift appear on a spectrum?
The dark absorption lines move towards the red end (red shift) or blue end (blue shift)
Compared to the lines for the same element measured on Earth
What is the Doppler effect? How does it explain the observations of red and blue shift?
Definition: The apparent change in the wavelength and frequency of a wave caused by the relative motion between the source and the observer
As a star or galaxy moves away from Earth its light waves are stretched, increasing their wavelength and causing a red shift
As a star or galaxy moves towards Earth its light waves are compressed, decreasing their wavelength and causing a blue shift
The greater the red or blue shift, the faster the object is moving relative to Earth
Astronomers use the Doppler effect to determine the direction and speed of stars and galaxies
What key terms should you use when answering red and blue shift questions?
Moving away from Earth → wavelength increases (stretched) → frequency decreases → red shift
Moving towards Earth → wavelength decreases (compressed) → frequency increases → blue shift
Always say the direction (moving away or towards) and what happens to BOTH wavelength and frequency
What does the Hertzsprung-Russell Diagram describe?
Plots a star's absolute brightness (luminosity) against its surface temperature, which is determined from its colour
Groups stars into: Main sequence, Giants, Supergiants, White dwarfs
How are the axes of the H-R diagram set out?
Y-axis: luminosity, brightest at the top
X-axis: surface temperature, decreasing from left (hot, blue) to right (cool, red)
What is the relationship between surface temperature and luminosity on the main sequence?
The hotter the surface temperature, the greater the luminosity
Main sequence runs from top left (hot, bright) to bottom right (cool, dim)
Most stars are main sequence stars, where they spend most of their lives
Where are giants, supergiants and white dwarfs on the Hertzsprung-Russel diagram?
Giants and supergiants: top right, cool but very bright because they are huge
White dwarfs: bottom left, hot but dim because they are small

What colour and mass stars have hotter surface temperatures?
Blue stars have hotter surface temperatures than red stars
High-mass stars have stronger gravity, causing higher core temperatures
This increases the rate of nuclear fusion, producing more energy
Therefore, high-mass stars are hotter, brighter, and blue • Low-mass stars are cooler, dimmer, and red
What is the lifecycle of a star?
All stars: Nebula → Protostar → Main Sequence
Low-mass stars: Main Sequence → Red Giant → Planetary Nebula → White Dwarf
High-mass stars: Main Sequence → Supergiant → Supernova → Neutron Star or Black Hole
The mass of a star determines the path it follows after the main sequence stage
What is a nebula? How does it form a protostar?
Definition: A giant cloud of gas (mostly hydrogen) and dust
Gravity causes denser regions of the nebula to collapse and clump together
Density and temperature increase as matter is pulled inward
As the clump contracts further, it heats up and forms a protostar
What is a protostar? How does it form a main sequence star?
Definition: The earliest stage star created from the collapse of gas and dust within a nebula
Gravity continues pulling matter inward, causing the protostar to become more dense and hotter
Pressure and temperature in the core continue to increase
When the core becomes hot and dense enough, hydrogen nuclear fusion begins
The protostar becomes a main sequence star
What stage do stars spend most of their lives in? What follows this stage?
Definition: A stable star where hydrogen nuclei fuse into helium in the core, releasing energy
Hydrogen fusion produces energy that creates outward pressure
This balances the inward force of gravity, keeping the star stable
The star remains in this stage for most of its lifetime
When hydrogen in the core is depleted, the star evolves depending on its mass (low = red giant, high = supergiant)
What is a red giant? How do low mass stars become this?
Definition: A low-mass star that expands after most hydrogen in its core has been used
Hydrogen fusion in the core slows and eventually stops
Gravity causes the core to contract, increasing its temperature
The outer layers expand and cool, causing the star to become larger and redder
What is a planetary nebula? How does it form following red giants?
Definition: A glowing cloud of gas released from a low to medium-mass star
A red giant becomes unstable near the end of its life
It ejects its outer layers of gas into space
Radiation from the remaining hot core causes the gas to glow, forming a planetary nebula
What stage follows a star becoming a planetary nebula?
A white dwarf follows the planetary nebula stage
The remaining hot, dense core is left behind after the outer layers are expelled
Nuclear fusion has stopped
The white dwarf slowly cools over time
What are supergiants? How do high mass stars become this?
Definition: Extremely large, luminous stars formed from high-mass main sequence stars
High-mass stars use up their hydrogen fuel in the core
The core contracts, causing temperature and pressure to increase
The outer layers expand significantly, forming a supergiant
The core begins fusing heavier elements
What is a supernova? How does it happen?
Definition: A massive explosion of a supergiant star at the end of its life
The core runs out of fuel and suddenly collapses
The outer layers are blasted into space
Releases huge amounts of energy and forms the heaviest elements
What are neutron stars? How do they form following supergiants?
Definition: An extremely dense star remnant made mostly of neutrons
A high-mass star becomes a red supergiant and eventually undergoes a supernova
The remaining core collapses under extreme gravity
The pressure forces protons and electrons to combine, forming neutrons
This creates a neutron star
What are black holes? How do they form following supergiants?
Definition: An object with immense gravity where light can't escape
A very high-mass star becomes a red supergiant
The core runs out of fuel and can no longer support itself against gravity
The core collapses, causing a supernova explosion
If the remaining core is extremely massive, it collapses into a black hole
What decides if a star becomes a neutron star or a black hole?
The mass of the core left after the supernova
About 1.4 to 3 solar masses → neutron star
More than about 3 solar masses → black hole
What is the largely discredited theory for the origin of the universe?
The steady state theory
States that the universe has no beginning and no end, where new matter is constantly created yet the universe's appearance remains the same
Discredited as there was little evidence to support it
Why was the steady state theory discredited?
Cosmic background radiation was discovered in 1965
Steady state could not explain it, but the Big Bang predicted it
What is the widely accepted theory of the creation of the universe?
The Big Bang Theory
States that the universe began about 13.8 billion years ago from an extremely hot, dense state and has been expanding and cooling ever since
What is a singularity?
Definition: A point where all the matter and energy of the universe was condensed into an extremely small, hot and dense state
Describe how the Big Bang created the universe. How were the first stars formed?
E = mc² shows that energy can be converted into matter (and matter into energy)
In the early universe, energy formed matter and antimatter • Matter and antimatter annihilated, producing energy in the form of photons (energy particles)
Slightly more matter than antimatter remained, which separated from the photons as it cooled and expanded
This allowed protons and electrons to combine to form hydrogen atoms
Gravity pulled hydrogen atoms together into clouds of hydrogen gas
Increasing mass → gravity → pressure → temperature
When the core became hot and dense enough, nuclear fusion began → the first stars formed
How does Einstein's famous equation help support the Big Bang Theory?
E = mc² shows that energy can be converted into matter and matter can be converted into energy
In the early universe, vast amounts of energy formed matter and antimatter
Matter and antimatter annihilated, converting back into energy
Slightly more matter than antimatter remained, allowing the universe to form
Explains how matter could have formed after the Big Bang, supporting the Big Bang Theory
What are the 4 pieces of evidence that support the Big Bang Theory?
Cosmic background radiation
Red-shifted light from galaxies
Presence of primordial elements
The formation of galaxies over time
How does cosmic background radiation provide evidence to support the Big Bang theory? (1 of 4)
The energy from the initial expansion of the universe still exists
It has cooled and now exists as electromagnetic microwaves throughout the universe
How it supports: It is evidence of leftover energy from the universe's beginning
How does red-shifted light from galaxies provide evidence to support the Big Bang theory? (2 of 4)
Light from other galaxies is red shifted, showing that galaxies are moving away from us
The further away a galaxy is, the faster it is moving away
How it supports: Shows the universe is expanding
How does evidence of primordial elements provide evidence to support the Big Bang theory? (3 of 4)
The first atoms to form were the simplest elements (hydrogen)
Heavier elements formed when stars collapsed
The current ratio of light to heavy elements supports the universe being about 13.7 billion years old
How it supports: The observed element ratios match its predictions
How does the process of galaxy formation provide evidence to support the Big Bang theory? (4 of 4)
Galaxies formed and evolved over time as the universe expanded
The formation of heavier elements in stars is similar to the formation of the first elements during the Big Bang
This shows that galaxies continued to evolve over time, as predicted by the Big Bang Theory
What 3 conclusions did Edwin Hubble make about the movement of galaxies?
Distant galaxies are receding (moving away) from Earth
The further away a galaxy is, the faster it is moving away
The universe is expanding
How do you answer calculation questions?
Write the formula first
Substitute the values you are given, with units
Then rearrange (if that is the easiest way)
Give all working and answers to 2 decimal places, with units
Green CAS: press the two arrows going away from each other (<>) to expand the decimal
What are the formulas for speed and velocity?
Speed = distance ÷ time • Distance = speed × time
Time = distance ÷ speed
Velocity: v = s ÷ t (s = displacement)
What are the formulas for stopping distance?
Stopping distance = reaction distance + braking distance
Reaction distance = speed × reaction time
What is the formula for acceleration?
a = (v − u) ÷ t
v = final velocity, u = initial velocity, t = time
What are the formulas for force and weight?
Net force: Fnet = ma
Rearranged: a = F ÷ m, m = F ÷ a
Weight: W = mg (g = 9.81 m/s²)
What are the formulas for work and energy?
Work: W = F × d
GPE: Eg = mgΔh (mass in kg x acceleration due to gravity (9.8 m/s²) x vertical displacemnent in m)
Kinetic energy: Ek = ½mv²
Velocity from kinetic energy: v = √(2Ek ÷ m)
How do you calculate speed?
Definition: A measure of the distance travelled per unit of time
Measured in km/h or m/s
Speed = distance ÷ time • e.g. 100 m in 20 s: speed = 100 ÷ 20 = 5.00 m/s
How is average speed different to instantaneous speed?
Average speed: A measure of how fast an object moves overall whilst ignoring all stops and changes in speed during the journey
Average speed = total distance ÷ total time
Instantaneous Speed: A measure of how fast an object moves at a particular moment during travel
Can be seen in a speedometer
How do you convert between km/h and m/s?
km/h → m/s: divide by 3.6 (larger to smaller unit = divide)
m/s → km/h: multiply by 3.6
e.g. 72 km/h ÷ 3.6 = 20.00 m/s
e.g. 20 m/s × 3.6 = 72.00 km/h
What is a vector vs scalar quantity?
Vector quantities: Have magnitude and direction
Represented by arrows that can be added or subtracted
Scalar quantities: Have only magnitude (size)
What are examples of vector and scalar quantities?
Vector: Displacement, velocity, acceleration, force, momentum, weight
Scalar: Time, distance, speed, mass, temperature, density
How is distance different to displacement?
Distance: The actual length of path covered EG 300 m
Displacement: The change in position and direction of an object EG 300 m North/from home to school
Include the direction of displacement using true bearings EG 067°T
How do you show direction with positive and negative signs?
Pick one direction as positive, e.g. North = +
The opposite direction is negative, e.g. South = −
So 4 m N is the same as −4 m S
How do you write displacement using bearings?
Give the size and the direction, e.g. 300 m on a bearing of 067°T
True bearings: measured clockwise from North, always 3 digits, written with °T
Compass bearings: start from N or S and turn towards E or W, e.g. N67°E is the same as 067°T
Draw a North arrow at the start point, then measure the angle clockwise to the line joining start and finish
How do you calculate displacement with bearings?
e.g. walk 3 km North, then 4 km East
Size: Pythagoras, √(3² + 4²) = 5.00 km
Angle from North: tan⁻¹(4 ÷ 3) = 53.13°
Displacement = 5.00 km on a bearing of 053.13°T
How do you calculate distance and time from speed?
Distance = speed × time, e.g. 15 m/s for 4 s = 15 × 4 = 60.00 m
Time = distance ÷ speed, e.g. 200 m at 8 m/s: t = 200 ÷ 8 = 25.00 s
Why is reaction distance different to braking distance? What is stopping distance?
Reaction distance: The distance the car travels from the point at which a hazard is detected until it begins braking or swerving
Braking distance: The distance the car travels from the point at which it begins braking until it comes to a stop
Stopping distance = Reaction distance + braking distance
How do you calculate reaction distance?
Reaction distance = speed (m/s) × reaction time (s)
e.g. 20 m/s × 1.5 s = 30.00 m
Doubling the speed doubles the reaction distance
What are the factors that affect stopping distance in terms of reaction distance?
Level of tiredness
Whether driver is under the influence of alcohol
The drivers' awareness/hazard detection
The effect of medication
Psychological reaction time
The vehicle's speed
What are the factors that affect stopping distance in terms of braking distance?
The vehicle's speed (quadratically increases each time by a power of 2)
EG 2 x higher speed = 2², 4x longer braking distance, 3x higher speed = 3², 9x longer braking distance
The road's gradient and conditions
The vehicle load EG Trucks have long braking distances
The brakes (condition, braking technique and number of wheels braking)
How is velocity different to speed?
Speed: The distance travelled per unit time (in km/h or m/s) EG 5 m/s
Velocity: The rate of change of displacement over time EG 5 m/s East
The direction of an object's velocity is the same as its displacement
How do you calculate velocity?
Velocity = displacement (s) ÷ time (t)
e.g. 150 m North in 30 s: v = 150 ÷ 30 = 5.00 m/s North
What are the units for motion quantities?
Distance/displacement: m or km
Time: s or h
Speed/velocity: m/s or km/h
Acceleration: m/s²
What does the gradient of a displacement/position-time graph give you?
Displacement/position-time graph: Gives you velocity EG m/s North
Velocity = displacement ÷ time
A negative gradient gives you movement in the opposite direction
Distance-time graph: gradient = speed
What do the shapes on a distance/position-time graph mean?
Straight sloped line = constant speed
Steeper line = faster
Flat (horizontal) line = stationary (no movement)
Curved line = speeding up or slowing down
What does the gradient of a velocity-time graph give you?
Velocity-time graph: Gives you acceleration EG m/s² North
Upward slope = accelerating
Downward slope = decelerating
How is a flat line on a velocity-time graph different to a flat line on a position-time graph?
Velocity-time graph: flat line is not no movement, it is constant velocity
Position-time graph: flat line means the position is not changing, so the object is stationary
How do you tell from a velocity-time graph if an object is speeding up or slowing down?
Velocity and acceleration in the same direction (same sign) = speeding up
Velocity and acceleration in opposite directions (opposite signs) = slowing down
e.g. v = +10 m/s, a = −2 m/s² → slowing down
e.g. v = −10 m/s, a = −2 m/s² → speeding up (in the negative direction)
How do you calculate displacement using a velocity-time graph?
Area under a velocity-time graph = displacement
Calculate the total area between the plotted line (velocity) and x-axis (time) • Rectangle sections: time × velocity
Sloped sections: area of a triangle = ½ × base × height
Areas above the axis are positive (forward displacement) and areas below are negative (displacement in the opposite direction)
Area under a speed-time graph = distance travelled
How is acceleration different to velocity?
Velocity: The rate of change of displacement over time
Acceleration: The rate at which velocity changes over time
How do you calculate acceleration?
Acceleration = change in velocity ÷ change in time
a = (v − u) ÷ t
v = final velocity, u = initial velocity, t = time
Measured in m/s²
e.g. 5 m/s to 25 m/s in 4 s: a = (25 − 5) ÷ 4 = 5.00 m/s²
How is positive acceleration different to negative acceleration?
Positive acceleration: acceleration in the positive direction
Negative acceleration: acceleration in the negative direction
Negative acceleration only means slowing down if the object is moving in the positive direction
e.g. 10 m/s to 0 m/s in 5 s: a = (0 − 10) ÷ 5 = −2.00 m/s² (slowing down)
What is the acceleration of gravity?
The acceleration of gravity (g) is 9.81 m/s² (when the effects of friction are not considered)
All objects experience the same acceleration
g can vary slightly on different points on the Earth's surface EG Decrease in high altitudes
What is a force?
Definition: A push or a pull that acts upon an object as a result of its interaction with another object
Vector quantity, can cause an object to accelerate, change velocity, or change shape
Unit for force is newtons (N)
What is 1 newton?
Definition: The force needed to accelerate a 1 kg mass at 1 m/s²
What are some of the types of forces classified as contact and non-contact?
Contact: Driving force, frictional force, drag/air resistance force, normal force, compression force, tension force
Non-contact: Magnetic force, gravitational force, electrostatic force
What is normal force?
Definition: The force applied by a surface at right angles to the surface in response to a push on it by an object
What are resistance forces?
Definition: Forces that oppose motion, including drag and frictional forces such as air resistance
Drag is the force that opposes an object moving through a fluid (a liquid or a gas)
EG Force of water against you as you swim
What are thrust or driving forces?
Definition: Forces that cause an object to move or accelerate forward
EG Force of cars/planes engines or the force of a person pushing on the pedals of a bike
How are resistive forces different to thrust/driving forces?
Resistive forces oppose the motion of an object
Thrust/driving forces promote motion and move the object forward
What are tension and compression forces?
Definition: The forces caused by pulling on an object to stretch it or pushing on an object to compress it
Tension force commonly exists in ropes and wires used to move objects or hold them stationary
What is the force of friction?
Definition: A resistance force created whenever two surfaces move or try to move across each other
Friction always opposes the motion of one surface across another surface
Friction is dependent on the texture of the two surfaces
What is the force of air resistance?
Definition: The force of air particles that oppose the motion of an object through the air
It acts in the opposite direction to the object's velocity
Air resistance increases with the speed of the object and its surface area
A type of drag force (since air acts as a fluid (a gas))
What is mass?
Definition: A measure of the amount of matter in an object (kg)
Mass is constant regardless of location
What is weight?
Definition: A measure of the force exerted on an object due to gravity (the force with which the Earth attracts you to its centre)
Weight is a force (measured in newtons)
How is weight different to gravitational force?
Weight is the gravitational force acting on an object
Gravitational force refers to the attractive force between two masses, not just the force acting on an object near a planet
Weight is dependent on the object's mass and the acceleration due to gravity (therefore Fnet = ma, W = mg)
How do you calculate the force of gravity (weight) at the Earth's surface?
W = F = mg
m = mass (kg), g = 9.81 m/s²
e.g. a 60 kg person: W = 60 × 9.81 = 588.60 N