Curran.Science
Curran.Science
Separate Physics · GCSE

Space

Each section opens with the lesson notes you need to answer the questions that follow. Read the notes, then test yourself by revealing the answers.

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📚 Key Vocabulary — All Terms You Need

NebulaA cloud of dust and gas (mainly hydrogen and helium) in space — the birthplace of stars.
ProtostarA collapsing nebula that has not yet reached fusion temperature.
Main sequence starA stable star fusing hydrogen into helium. Lasts billions of years.
Red giant / supergiantAn expanded, cooler outer shell formed when a star runs out of hydrogen.
Planetary nebulaThe outer layers drifting away from a dying Sun-sized star.
White dwarfThe hot, dense remnant core left after a Sun-sized star sheds its outer layers.
Black dwarfA cooled white dwarf — the final stage of a Sun-sized star.
SupernovaThe explosive death of a massive star — creates and scatters elements heavier than iron.
Neutron starThe ultra-dense remnant of a less massive supernova.
Black holeThe remnant of the most massive supernovae. Gravity so strong not even light escapes.
Red shiftLight from a receding source has longer wavelength (shifted towards red end of spectrum).
CMBRCosmic microwave background radiation — faint microwave radiation from all directions, remnant heat of the Big Bang.
Knowledge Recall — 17 Questions
F1 How many planets are there in our solar system?
1 mark
Model Answer
Eight planets, plus one dwarf planet (Pluto)
1 mark
F2 Write the planets in the solar system in order from the Sun.
1 mark
Model Answer
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune
1 mark
F3 What is a satellite? What are the two types of satellite?
2 marks
Model Answer
A satellite is any object in orbit around a planet (1)
Natural satellites (e.g. the Moon) and artificial satellites (e.g. communications or weather satellites) (1)
2 marks
F4 What galaxy is the solar system a part of?
1 mark
Model Answer
The Milky Way galaxy
1 mark
F5 What is a nebula?
1 mark
Model Answer
A cloud of dust and gas
1 mark
F6 How is a star formed?
2 marks
Model Answer
A nebula is pulled together under gravity; friction heats hydrogen until it is hot enough for nuclear fusion to begin (1)
The energy from fusion maintains the temperature so fusion continues (1)
2 marks
F7 Once a star is formed, how does it reach equilibrium?
2 marks
Model Answer
Gravity acts inwards, trying to compress the star (1)
The outward radiation pressure from nuclear fusion balances gravity — the forces are equal so the star is stable (1)
2 marks
F8 What are the stages in the life cycle of a star of similar size to the Sun?
1 mark
Model Answer
Nebula → Protostar → Main sequence star → Red giant → White dwarf → Black dwarf
Must include all stages in correct order
1 mark
F9 What are the stages in the life cycle of a star much more massive than the Sun?
1 mark
Model Answer
Nebula → Protostar → Main sequence star → Red super giant → Supernova → Neutron star / Black hole
Must include all stages in correct order
1 mark
F10 How are elements heavier than iron produced?
1 mark
Model Answer
In the explosion of a massive star (supernova); the energy of the explosion fuses lighter elements into heavier ones, which are then spread throughout the universe
1 mark
F11 What provides the force that allows planets and satellites to maintain their circular orbits?
1 mark
Model Answer
Gravity
1 mark
F12 How can the force of gravity lead to changing velocity but unchanged speed?
2 marks
Model Answer
Speed is a scalar (magnitude only); velocity is a vector (magnitude and direction) (1)
As an object orbits, gravity continuously changes its direction of motion, so velocity changes even though speed stays constant (1)
2 marks
F13 What happens to the radius of an orbit if the speed increases?
1 mark
Model Answer
The radius of the orbit decreases
1 mark
F14 What evidence do we have for the Big Bang?
2 marks
Model Answer
Red-shifted light from distant galaxies — the further away, the faster they are moving and the greater the red-shift (1)
Cosmic microwave background radiation (CMBR) — a faint, uniform microwave radiation detected from all directions (1)
2 marks
F15 What does the red shift tell us about the universe?
2 marks
Model Answer
The universe is expanding (1)
It began from a very small, extremely hot and dense region (1)
2 marks
F16 What happens to the wavelength of a wave if the source is moving towards us?
1 mark
Model Answer
The wavelength decreases (blue-shifted / Doppler effect)
The opposite occurs if the source moves away — wavelength increases (red-shift)
1 mark
F17 What have observations of recent supernovae suggested?
1 mark
Model Answer
Distant galaxies are receding even faster than previously thought — suggesting the expansion of the universe is accelerating
1 mark

📚 The Solar System

Our solar system consists of one star (the Sun), eight planets (plus dwarf planet Pluto), and their moons and other objects. It is a small part of the Milky Way galaxy.

The Solar System (not to scale)SunMercuryVenusEarthMarsJupiterSaturnUranusNeptunePlutoTerrestrial planetsGas / ice giants

Planet Order — Mnemonic

Planet Order MnemonicMyMercuryVeryVenusEasyEarthMethodMarsJustJupiterSpeedsSaturnUpUranusNamingNeptunePlanetsPluto (dwarf)TerrestrialGas / ice giants

Planet Types

Terrestrial planetsMercury, Venus, Earth, Mars — rocky surfaces, smaller, closer to Sun.
Gas giantsJupiter, Saturn — enormous, composed mainly of hydrogen and helium gas.
Ice giantsUranus, Neptune — composed mainly of icy materials; furthest from the Sun.
Solar System Tasks— Basic
Basic
B1 Name the eight planets in our solar system.
1 mark
Model Answer
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune
1 mark
B2 Complete the sentences: There are eight planets in orbit around the Sun, along with some _____ like Pluto. The solar system is part of the galaxy called the _____. The Sun was formed when a _____ (made of dust and gas) was pulled together by _____. The force of _____ caused these gases (mostly _____ and helium) to heat until hot enough for nuclear _____.
6 marks
Model Answer
dwarf planets
Milky Way
nebula
gravity
friction
hydrogen
fusion
1 mark per correct answer
6 marks

📚 Nebulae and Nuclear Fusion

A nebula is a cloud of dust and gas (mainly hydrogen and helium). Gravity pulls it together. As it collapses, friction heats the gases. Once the core temperature exceeds 10 million degrees, nuclear fusion begins.

Nuclear Fusion in Stars²Hhydrogen+¹Hhydrogen³Hehelium-3+energyRequires>10 million °Cin the core

Nuclear fusion is the combining of lighter nuclei to form heavier ones, releasing energy. In a star like the Sun, hydrogen nuclei fuse to form helium. Each helium nucleus has slightly less mass than the four hydrogen nuclei that formed it — this lost mass is converted to energy (E = mc²).

Why the Main Sequence Star is Stable

Gravity acts inward trying to compress the star. Radiation pressure from fusion pushes outward. These balance — the star is stable until hydrogen runs out.

Temperature Anomalies

Venus is hotter than Mercury despite being further from the Sun. Its thick CO₂ atmosphere traps heat via a strong greenhouse effect. Neptune is coldest — furthest from the Sun, receiving least solar radiation.

Solar System Tasks— Medium · Hard
Medium
M1 Explain what is meant by nuclear fusion.
2 marks
Model Answer
Nuclear fusion is the process where two small atomic nuclei combine to form a larger nucleus (1)
Energy is released during this process because the total mass of the products is slightly less than the reactants — this lost mass is converted into energy (E=mc²) (1)
2 marks
M2 Name the: i) Four terrestrial planets ii) Two gas giants iii) Two ice giants.
3 marks
Model Answer
i) Mercury, Venus, Earth, Mars (1)
ii) Jupiter, Saturn (1)
iii) Uranus, Neptune (1)
3 marks
M3 Explain why i) Venus is the hottest planet and ii) Neptune is the coldest.
2 marks
Model Answer
i) Venus has a thick atmosphere of CO₂ creating a strong greenhouse effect, trapping heat — despite being further from the Sun than Mercury it has a higher surface temperature (1)
ii) Neptune is the furthest planet from the Sun, receiving the least solar radiation, so it has the lowest surface temperature (1)
2 marks
M4 What happens to the mass of the Sun as hydrogen is converted to helium? Why does this release energy?
2 marks
Model Answer
The mass of the Sun decreases slightly, because the helium nucleus produced has slightly less mass than the four hydrogen nuclei that fused (1)
This lost mass is converted into energy according to E = mc² — even a tiny mass loss produces enormous amounts of energy (1)
2 marks
Hard
H1a Calculate the energy released when 1 g of hydrogen fuses to form helium. (Loss of mass = 0.7%; speed of light = 3 × 10⁸ m/s; E = loss of mass × c²)
3 marks
Model Answer
Mass loss = 0.7% of 0.001 kg = 0.007 × 0.001 = 7 × 10⁻⁶ kg ✓
E = 7 × 10⁻⁶ × (3 × 10⁸)² ✓
E = 7 × 10⁻⁶ × 9 × 10¹⁶ = 6.3 × 10¹¹ J
Allow ECF from incorrect mass loss calculation
3 marks
H1bi Describe the relationship between the lifetime of a main sequence star and its mass.
1 mark
Model Answer
As the mass of a star increases, its lifetime on the main sequence decreases (inverse relationship)
1 mark
H1bii Suggest an explanation for this relationship.
2 marks
Model Answer
More massive stars have higher core temperatures and pressures (1)
This causes fusion to occur much faster, burning through the hydrogen fuel more quickly, so they have shorter lifetimes (1)
2 marks

📚 Planetary Data — Patterns

The data table shows that as distance from the Sun increases:

Orbital periodIncreases — the planet has a longer path and weaker gravitational pull.
Surface temperatureGenerally decreases — less solar radiation reaches the planet.

Exception — Venus: much hotter than expected due to its greenhouse atmosphere. The student's conclusion ("temperature decreases with distance") is not completely correct because it doesn't account for Venus.

Planet Data Table Questions— 7 marks
Pa There are eight planets in orbit around the Sun. Which other type of object orbits the Sun? (Dwarf planet / Galaxy / Moon / Star)
1 mark
Model Answer
Dwarf planet ✓
1 mark
Pb Complete the sentences: The Sun was formed when a _____ in space was pulled together by _____.
2 marks
Model Answer
nebula (1)
gravity (1)
2 marks
Pc What pattern links the distance a planet is from the Sun and the time taken to orbit the Sun?
1 mark
Model Answer
The further a planet is from the Sun, the longer it takes to orbit the Sun
A simple direct relationship is sufficient for 1 mark
1 mark
Pd Estimate the value of X (Jupiter's distance from the Sun compared to Earth), using the pattern in the table.
1 mark
Model Answer
From the table, distance and orbit time both increase together.
Saturn is at 9.6 and takes 30 years; Mars at 1.5 takes 1.9 years.
Jupiter takes 12 years — interpolating between Mars and Saturn gives X ≈ 5.2
Accept any value in range 4.5–6.0
1 mark
Pe A student concluded: 'The mean surface temperature of a planet decreases the further the planet is from the Sun.' Explain why this conclusion is not totally correct.
3 marks
Model Answer
The conclusion is mostly correct — generally temperature decreases with distance (1)
However, Venus is an anomaly: it is further from the Sun than Mercury yet has a higher surface temperature (+465°C vs +125°C) (1)
This is because Venus has a thick CO₂ atmosphere which causes a strong greenhouse effect, trapping heat — so distance alone does not determine surface temperature (1)
3 marks

📚 From Nebula to Main Sequence Star

A nebula (cloud of dust, hydrogen and helium) is pulled together by gravity. Friction heats the gases as the cloud compresses. When the core exceeds ~10 million °C, nuclear fusion begins and a protostar forms, then a main sequence star.

Force Balance — Main Sequence StarNuclearFusionGravityinwardRadiation pressure — outward⚖ Forces balanced = STABLE

The star is stable because gravity (inward) is exactly balanced by radiation pressure from fusion (outward). This balance holds for billions of years.

Fill in the Blanks — Life Cycle Diagram— Boxes 1 & 2
Box 1 — Nebula Formation
B1 A nebula is a cloud of _____ and the gases _____ and _____. It gets pulled together under the force of _____. This forms a protostar.
4 marks
Model Answer
dust
hydrogen
helium
gravity
1 mark per blank
4 marks
Box 2 — Main Sequence Formation
B2 Heat from the force of _____ causes nuclear _____ to begin and a main sequence star is now formed.
2 marks
Model Answer
friction
fusion (nuclear fusion)
1 mark per blank
2 marks

📚 Sun-Sized Star — Life Cycle After Main Sequence

When hydrogen runs out, fusion decreases → gravity wins → star contracts → core temperature rises → helium begins to fuse → radiation pressure increases greatly → star expands and cools on the outside, forming a red giant.

The outer layers then drift away gently into space as a planetary nebula. The exposed hot, dense core is called a white dwarf. Over a very long time it cools to become a black dwarf.

Main sequence → Red giant → Planetary nebula + White dwarf → Black dwarf
Fill in the Blanks— Boxes 3–4 (Sun path)
Box 3 (Top Path) — Average Star
B3a For an average star, when the hydrogen runs out, the helium core collapses and the outer layer expands and cools. This is called a _____.
1 mark
Model Answer
red giant
1 mark
Box 4 (Top Path) — Late Stages
B4a The outer layer called a _____ now drifts away into space. A hot dense core remains — this is called a _____. This then cools to form a black dwarf.
2 marks
Model Answer
planetary nebula
white dwarf
1 mark per blank
2 marks

📚 Massive Star — Life Cycle After Main Sequence

Stars more massive than the Sun fuse heavier and heavier elements in their cores. This continues until an iron core forms. Iron is the heaviest element that can be produced by fusion — it actually absorbs energy rather than releasing it. Fusion stops, the core collapses catastrophically and the star explodes in a supernova.

Life Cycle of a Star — Both PathsNebuladust+gasProto-starMainseq.small masslarge massRedgiantWhitedwarfBlackdwarfRedsupergiantSupernovaNeutronstarBlackhole

Elements heavier than iron (gold, uranium etc.) are only created during the supernova explosion itself, when enormous energy is available. The explosion scatters all these elements throughout the universe.

Main sequence → Red supergiant → Supernova → Neutron star or Black hole
Neutron starRemains when the core of a less massive supernova collapses — hot, tiny and incredibly dense.
Black holeRemains when the most massive stellar cores collapse — nothing, not even light, can escape.
Fill in the Blanks— Boxes 3–5 (Massive star path)
Boxes 3–5 (Bottom Path) — Massive Star
B3b A large star turns into a _____ _____. Here, heavier and heavier elements start to fuse together until an iron core is made.
1 mark
Model Answer
red supergiant
1 mark
B4b Elements heavier than _____ cannot fuse together. When this happens the core collapses under gravity in a massive explosion called a _____.
2 marks
Model Answer
iron
supernova
1 mark per blank
2 marks
B5 Following the explosion: i) The remains of the core form a tiny, very dense _____, OR ii) In really massive stars the core collapses to a point — this is known as a _____.
2 marks
Model Answer
neutron star
black hole
1 mark per blank
2 marks

📚 Q1 — Key Points for Stars and Life Cycles Questions

For "describe how stars are formed": include nebula → gravity → friction → fusion. For "why stable during main sequence": gravity balanced by radiation pressure. For "Sun-sized life cycle after main sequence": red giant → white dwarf → black dwarf in order.

Q1 — Stars and Life Cycles— 8 marks
Q1a Describe how stars are formed.
3 marks
Model Answer
A nebula (cloud of dust and gas) is pulled together by gravity (1)
Friction heats the gases as they are compressed (1)
When temperature exceeds approximately 10 million°C, nuclear fusion begins (1)
3 marks
Q1b Energy is released in stars by the process of nuclear _____. (decay / fission / fusion)
1 mark
Model Answer
fusion
1 mark
Q1c State why a star is stable during the main sequence period of its life cycle.
1 mark
Model Answer
The inward force of gravity is balanced by the outward radiation pressure from nuclear fusion
Accept: forces are balanced / the star is in equilibrium
1 mark
Q1d A star is the same size as the Sun. State the stages after the main sequence in order.
3 marks
Model Answer
Red giant (1)
White dwarf (1)
Black dwarf (1)
Must be in correct order for full marks
3 marks

📚 Elements and the Early Universe

The early universe contained only hydrogen (the lightest element). As stars formed and evolved, heavier elements were built up:

HydrogenPresent since the Big Bang — the raw fuel of stars.
Helium and up to ironFormed by nuclear fusion inside stars during the main sequence and beyond.
Elements heavier than ironOnly formed in the enormous energy of a supernova explosion.

When a massive star explodes, it scatters all these elements across space. They eventually form new stars, planets — and everything on Earth, including us.

Q2 — Elements and the Universe— 7 marks
Q2a The early Universe contained only _____. (hydrogen / iron / uranium)
1 mark
Model Answer
hydrogen
1 mark
Q2b The heaviest elements are formed only in a _____. (main sequence star / protostar / supernova)
1 mark
Model Answer
supernova
1 mark
Q2c Only a star much bigger than the Sun can become a _____. (red giant / red super giant / white dwarf)
1 mark
Model Answer
red super giant
1 mark
Q2d The Universe now contains a large variety of different elements. Describe how this happened.
4 marks
Model Answer
Stars fuse hydrogen into helium during the main sequence (1)
Massive stars fuse progressively heavier elements up to iron (1)
A supernova explosion creates elements heavier than iron (1)
The explosion scatters these elements throughout the universe, seeding new stars, planets and eventually all matter (1)
4 marks

📚 What is a Satellite?

A satellite is any object in orbit around a planet.

Natural satelliteThe Moon is a natural satellite of Earth.
Artificial satelliteMan-made objects placed in orbit — used for communications, weather monitoring, GPS, and scientific research (e.g. the ISS).

What Keeps a Satellite in Orbit?

Gravity acts as the centripetal force, pulling the satellite continuously toward the centre of its orbit. Without gravity, the satellite would fly off in a straight line. The satellite doesn't fall because it is moving fast enough sideways that the Earth's surface curves away at the same rate.

Orbital Height and Speed

Close orbitStronger gravity → satellite must travel faster → shorter orbital period.
Distant orbitWeaker gravity → satellite moves slower → longer orbital period.
Satellites — Questions— Basic
Basic
Q1 What is the name of the force that keeps a satellite in orbit around a planet?
1 mark
Model Answer
Gravity
1 mark
Q2 What are the two types of satellite that orbit the Earth?
2 marks
Model Answer
Natural (e.g. the Moon) (1)
Artificial (e.g. communications or weather satellite) (1)
2 marks
Q3 Name two uses of man-made satellites.
2 marks
Model Answer
Any two from: communications / weather monitoring / GPS navigation / Earth observation
1 mark each
2 marks
Q4 Some satellites orbit close to Earth, some further away. What impact does this have on: a) orbit speed, b) orbit time?
2 marks
Model Answer
a) Closer orbit = faster orbital speed; further orbit = slower orbital speed (1)
b) Closer orbit = shorter orbital period; further orbit = longer orbital period (1)
2 marks

📚 Geostationary and Monitoring Satellites

Satellite OrbitsEarthMonitoring satellite~2–3 hr orbit · lower · fasterGeostationary24 hr orbit · commsgravity (centripetal)Higher orbit → weaker gravity → slower speed → longer period
Geostationary satelliteOrbits once every 24 hours at ~36,000 km altitude. Stays above the same point on Earth because it orbits at the same rate Earth rotates. Used for communications and broadcasting.
Monitoring (polar/low Earth orbit)Lower orbit (~200–2,000 km), period ~2–3 hours. Passes over different areas of Earth each orbit. Used for weather monitoring, Earth imaging.

Speed vs Velocity

A satellite in circular orbit moves at constant speed but its velocity is always changing — because direction is continuously changing. Velocity is a vector (it has direction); even if the magnitude stays the same, a change in direction means the velocity has changed.

Elliptical Orbits

Most satellites orbit in slightly elliptical (oval) paths. Comets have very extreme elliptical orbits around the Sun. In an elliptical orbit the speed is not constant:

Elliptical Orbit — Speed Varies with DistanceSunSLOWESTfar from Sunweak gravityFASTESTclose to Sunstrong gravityCloser to Sun = stronger gravity = faster speed
Satellites — Questions— Medium
Medium
Q5 What is a geostationary satellite? How often does it orbit the Earth?
2 marks
Model Answer
A satellite that orbits the Earth once every 24 hours (1)
It remains above the same point on the Earth's surface at all times (1)
2 marks
Q6 Comets orbit the Sun in a very extreme elliptical orbit. a) Where will the comet travel fastest? b) Why? c) Where slowest? d) Why?
4 marks
Model Answer
a) Fastest at the closest point to the Sun — perihelion (1)
b) Gravitational force is strongest here, so the comet accelerates to maximum kinetic energy (1)
c) Slowest at the furthest point from the Sun — aphelion (1)
d) Gravitational force is weakest here; the comet has minimum kinetic energy (1)
4 marks
Q7 When in stable orbit, a satellite travels at constant speed but its velocity is constantly changing. Why?
2 marks
Model Answer
Speed is a scalar (magnitude only); velocity is a vector (magnitude and direction) (1)
Although speed stays constant, the direction of travel continuously changes due to gravity, so velocity changes (1)
2 marks
Q8 Which of the satellites L or M: a) is geostationary? b) is a monitoring satellite? c) takes 24 hours to orbit?
3 marks
Model Answer
a) L — geostationary (higher orbit) (1)
b) M — monitoring satellite (lower orbit) (1)
c) L takes 24 hours to complete its orbit (1)
3 marks

📚 Centripetal Force and Historical Models

The centripetal force is the resultant force directed towards the centre of a circular orbit. For a satellite this is provided by gravity.

The size of the centripetal force depends on: (1) the mass of the satellite, and (2) the orbital speed. It does NOT depend on the height directly — though higher orbits have weaker gravity, which is why satellites there orbit more slowly.

Mass and periodThe mass of a satellite has NO effect on its orbital period — only height matters.
Historical vs Modern Model of the Solar SystemEarthSunMarsGEOCENTRIC (historical)Earth at centre ✗SunEarthMarsHELIOCENTRIC (modern)Sun at centre ✓

Isaac Newton proposed the idea of artificial satellites with a thought experiment: if fired fast enough from a mountaintop, a cannonball would orbit the Earth. People accepted this because Newton was a well-respected scientist who had already made important discoveries (e.g. laws of motion and gravitation).

Satellites — Questions— Hard
Hard
Q9 A geostationary satellite orbits 36,000 km above Earth's surface. The radius of Earth is 6,371 km. What is the speed of the satellite?
3 marks
Model Answer
Total orbital radius = 6,371 + 36,000 = 42,371 km = 42,371,000 m ✓
Circumference = 2π × 42,371,000 = 266,241,000 m ✓
Time = 24 × 3600 = 86,400 s
Speed = 266,241,000 ÷ 86,400 ≈ 3,082 m/s
Allow error carried forward for unit conversion mistakes
3 marks
Q10 Light takes ~3 mins to reach Mercury, ~8 mins to reach Earth. Jupiter takes ~11 years to orbit the Sun; Mercury takes ~3 months. Which travels a) slowest? b) fastest? Explain.
3 marks
Model Answer
a) Jupiter travels slowest (1)
b) Mercury travels fastest (1)
Jupiter has an enormous orbit but takes an enormously long time to complete it; Mercury has a small orbit completed in only 3 months, giving it the greatest orbital speed (1)
3 marks
Exam Questions — Solar System Models & Centripetal Force— 12 marks
Q1a Give one way that the historical model of the solar system (Earth at the centre) is different from what we now know.
1 mark
Model Answer
Historical model was geocentric (Earth at the centre); modern model is heliocentric (Sun at the centre)
Accept any valid difference e.g. Moon shown orbiting in an outer ring
1 mark
Q1b Give one way that the historical model of the solar system is the same as what we now know.
1 mark
Model Answer
Both show planets/objects orbiting in circular paths
Accept: both include the same planets / both show the Moon orbiting the Earth
1 mark
Q1c Describe the orbit of an artificial satellite.
1 mark
Model Answer
Circular (or slightly elliptical) orbit around the Earth
1 mark
Q1d What provides the force needed to keep a satellite in its orbit?
1 mark
Model Answer
Gravity
1 mark
Q1e The star Mira will go through a supernova stage but the Sun will not. How is Mira different to the Sun?
1 mark
Model Answer
Mira is much more massive than the Sun
1 mark
Q2a What provides the centripetal force on an orbiting satellite?
1 mark
Model Answer
Gravity
1 mark
Q2b State two factors that determine the size of the centripetal force on the satellite.
2 marks
Model Answer
The mass of the satellite (1)
The orbital speed of the satellite (1)
Accept: orbital radius / distance from Earth as an alternative second factor
2 marks
Q2ci State the relationship between the height of the satellite above Earth and the time taken to orbit once.
1 mark
Model Answer
The greater the height above Earth, the longer the time taken to complete one orbit
1 mark
Q2cii State the relationship, if any, between the time taken to orbit the Earth once and the satellite's mass.
1 mark
Model Answer
There is no relationship between the mass of a satellite and its orbital period
1 mark
Q2d Why did many people accept Isaac Newton's idea of satellites? (A) He was a respected scientist who had made discoveries before. (B) He went to university. (C) It was a new idea no one had thought of.
1 mark
Model Answer
A — Isaac Newton was a respected scientist who had made new discoveries before
1 mark

📚 Calculating Orbital Speed — Step by Step

Distance travelled in one orbit = circumference of the circular orbit:

Circumference = 2πr

Speed is then distance divided by time:

Speed = 2πr ÷ T

Unit Conversions — Essential

km → mMultiply by 1,000
days → sMultiply by 86,400 (= 24 × 3,600)
hours → sMultiply by 3,600
minutes → sMultiply by 60

Worked Example

Worked Example — Orbital Speed CalculationQ: Geostationary satellite, radius = 42,371 km, period = 24 hours. Find speed.Step 1: Convert units r = 42,371 km × 1000 = 42,371,000 m T = 24 × 3600 = 86,400 sStep 2: Speed = 2πr ÷ T = 2π × 42,371,000 ÷ 86,400 ≈ 3,082 m/s

The Moon — Given Values

The Moon has an average distance from Earth of 391,400 km and a speed of 1,017 m/s with a period of 28 days. This is already completed in the table — use it to check your method.

Satellite Speed Calculations— pp.15
Basic — Calculate Circumference (C = 2πr)
B1–6 Calculate the circumference of the orbits of: Moon (r=391,400 km), GEO (r=42,200 km), Navstar (r=26,600 km), Lageos (r=12,300 km), HST (r=7,000 km), ISS (r=6,700 km).
6 marks
Model Answer
Moon: 2π × 391,400 = 2,459,605 km = 2.46 × 10⁹ m
GEO: 2π × 42,200 = 265,146 km = 2.65 × 10⁸ m
Navstar: 2π × 26,600 = 167,085 km = 1.67 × 10⁸ m
Lageos: 2π × 12,300 = 77,283 km = 7.73 × 10⁷ m
HST: 2π × 7,000 = 43,982 km = 4.40 × 10⁷ m
ISS: 2π × 6,700 = 42,097 km = 4.21 × 10⁷ m
1 mark each — 6 marks total
6 marks
Medium — Calculate Speed (v = d ÷ t)
M1–5 Calculate the speed of: GEO (T=1 day), Navstar (T=12 hrs), Lageos (T=3.8 hrs), HST (T=97 mins), ISS (T=92 mins). Convert time to seconds!
5 marks
Model Answer
GEO: 2.65×10⁸ ÷ 86,400 s ≈ 3,068 m/s
Navstar: 1.67×10⁸ ÷ 43,200 s ≈ 3,866 m/s
Lageos: 7.73×10⁷ ÷ 13,680 s ≈ 5,651 m/s
HST: 4.40×10⁷ ÷ 5,820 s ≈ 7,559 m/s
ISS: 4.21×10⁷ ÷ 5,520 s ≈ 7,627 m/s
1 mark each — allow ECF
5 marks
M6 What conclusion can be drawn about the relationship between average distance from Earth and orbital speed?
1 mark
Model Answer
The greater the average distance from Earth, the slower the orbital speed
1 mark
M7 Explain this relationship in terms of the force of gravity.
2 marks
Model Answer
Gravitational force decreases with distance (1)
Satellites further away experience a weaker gravitational pull and therefore orbit more slowly (1)
2 marks
Hard — Calculate Distance from Earth to Sun
H1 The Earth orbits the Sun at 107,000 km/h and takes 365.25 days to complete one orbit. Calculate the distance from the Earth to the Sun.
3 marks
Model Answer
Speed = 107,000 km/h = 29,722 m/s ✓
Time = 365.25 × 24 × 3600 = 31,557,600 s ✓
Circumference = 29,722 × 31,557,600 = 9.38 × 10¹¹ m
Distance (radius) = 9.38×10¹¹ ÷ (2π) ≈ 1.49 × 10¹¹ m
Accept values in range 1.4–1.55 × 10¹¹ m. Allow ECF for unit conversion.
3 marks

📚 The Big Bang Theory

The Big Bang theory proposes that the universe began from an extremely small, extremely hot and dense point approximately 13.8 billion years ago. It then exploded outward and has been expanding ever since.

Expanding UniversePast (Big Bang)expandingPresentFarther away = greater red-shift = faster recession

Because the universe is expanding, all galaxies are moving away from each other. The further away a galaxy is, the faster it appears to be receding.

Big Bang & Red Shift— Basic Q1–3
Basic
B1 What happens to the light a galaxy gives off if the galaxy is moving away from us?
1 mark
Model Answer
The light is red-shifted — the observed wavelength increases and the frequency decreases
1 mark
B2 What was the Big Bang?
2 marks
Model Answer
The Big Bang was the event in which the universe began (1)
It started from an extremely small, hot and dense point that exploded outwards to form space, time and all matter (1)
2 marks
B3 What is happening to the size of the Universe?
1 mark
Model Answer
The Universe is expanding
1 mark

📚 Red Shift — Evidence for the Big Bang

Red Shift and Blue ShiftSun (reference):◄ Blue (short λ)Red (long λ) ►Red-shifted galaxy (moving away):dark lines shift → towards longer wavelength (red end)Blue-shifted galaxy (moving towards us):dark lines shift ← towards shorter wavelength (blue end)

When a galaxy moves away from us, the light it emits is stretched — its wavelength increases and frequency decreases. This shift towards longer wavelengths is called red shift. The greater the red shift, the faster the galaxy is receding.

Red shiftMoving AWAY → wavelength increases (towards red end), frequency decreases.
Blue shiftMoving TOWARDS us → wavelength decreases (towards blue end), frequency increases.

The Doppler Effect

This is the change in observed frequency/wavelength caused by relative motion between source and observer. A police siren sounds higher pitched as it approaches (waves compressed = shorter wavelength = higher frequency) and lower pitched as it moves away (waves stretched = longer wavelength = lower frequency). The same principle applies to light.

Cosmic Microwave Background Radiation (CMBR)

CMBR is faint microwave radiation detected uniformly from all directions in space. It is the residual heat energy from the original Big Bang fireball, now cooled to just 2.7 K. Its existence and uniformity is the second major piece of evidence for the Big Bang.

Big Bang & Red Shift— Basic Q4–6
B4 What evidence do we have for the Big Bang?
2 marks
Model Answer
Red-shifted light from distant galaxies — the further away, the greater the red-shift, showing everything is moving apart (1)
Cosmic microwave background radiation (CMBR) — uniform microwave radiation detected from all directions, a remnant of the early hot universe (1)
2 marks
B5 Galaxy X has a larger red-shift than Galaxy Y. Which galaxy is: a) nearer to us? b) moving away faster?
2 marks
Model Answer
a) Galaxy Y is nearer to us (smaller red-shift = slower recession = closer) (1)
b) Galaxy X is moving away faster (larger red-shift = faster recession) (1)
2 marks
B6 What happens to the light a galaxy gives off if the galaxy is moving towards us?
1 mark
Model Answer
The light is blue-shifted — the observed wavelength decreases and frequency increases
1 mark

📚 Hubble's Law and Calculating the Age of the Universe

Hubble's Data — Galaxy RecessionDistance from Earth (megaparsecs)Recession speed (km/s)012340500100015002000MNgradient =Hubble constant≈ 500 km/s/Mpc

By measuring the red shift of many galaxies, Hubble found a directly proportional relationship between a galaxy's distance from Earth and its recession speed:

Recession speed = Hubble constant × distance

The Hubble constant is the gradient of the speed-distance graph (approximately 500 km/s per megaparsec using Hubble's original 1929 data). Dividing distance by speed for any galaxy gives an estimate of how long it has been travelling — approximately 13.8 billion years — the age of the universe.

Galaxy M (on graph)Smaller red shift → slower recession → closer to Earth.
Galaxy N (on graph)Larger red shift → faster recession → further from Earth.
Medium — Hubble's Data
Medium — Hubble's Data
M1 What relationship between the speed of a galaxy and its distance is suggested by Hubble's results?
1 mark
Model Answer
The greater the distance of a galaxy from Earth, the faster it is moving away from us (directly proportional relationship)
1 mark
M2 Galaxy M has a smaller red-shift than galaxy N. What does this tell scientists about these two galaxies?
2 marks
Model Answer
Galaxy M is closer to Earth than galaxy N (1)
Galaxy M is moving away from Earth more slowly than galaxy N (1)
2 marks
M3 Use the Hubble graph to calculate the Hubble constant (in km/s per megaparsec).
2 marks
Model Answer
Hubble constant = gradient of the line = Δvelocity ÷ Δdistance
Reading from graph: approximately 500 km/s at 0.5 Mpc → gradient ≈ 500 ÷ 0.5
Hubble constant ≈ 500 km/s per megaparsec
Accept any value read consistently from the graph; typical range 450–550 km/s per Mpc
2 marks

📚 Hard Questions — Calculating Time from Galactic Data

The hard question gives distance (in zettametres, Zm) and recession speed (in Zm per billion years) for several galaxies. One zettametre = 10²¹ metres.

To find how long a galaxy has been moving away, use:

Time = distance ÷ speed

If all galaxies give roughly the same time value, this supports the Big Bang — all matter began moving from the same point at the same moment in time. The calculated times should all be close to ~13 billion years.

Example

Abell 963: distance = 25,000 Zm, speed = 1,950 Zm per billion years. Time = 25,000 ÷ 1,950 ≈ 12.8 billion years.

Hard — Galaxy Recession Table
Hard — Galaxy Recession Table
H1 Complete the data for time (time = distance ÷ speed) for: Abell 1302 (14,000 Zm, 1100 Zm/bn yr), Abell 1314 (4,100 Zm, 320 Zm/bn yr), Abell 1978 (18,000 Zm, 1400 Zm/bn yr), Abell 2255 (10,000 Zm, 770 Zm/bn yr).
4 marks
Model Answer
Abell 1302: 14,000 ÷ 1100 ≈ 12.7 billion years
Abell 1314: 4,100 ÷ 320 ≈ 12.8 billion years
Abell 1978: 18,000 ÷ 1400 ≈ 12.9 billion years
Abell 2255: 10,000 ÷ 770 ≈ 13.0 billion years
1 mark each
4 marks
H2 Explain how the data for time provides evidence for the Big Bang theory.
3 marks
Model Answer
All galaxies have been moving away from us for approximately the same length of time (~13 billion years) (1)
This suggests all matter originated from the same point at the same time (1)
This is consistent with the Big Bang — a single explosive event from which the universe expanded (1)
3 marks

📚 Reading Stellar Spectra

Reading Stellar SpectraSun (reference):Blue ◄► RedStar C (red-shifted, moving away):lines shifted right (towards red)Key rules:• Lines shifted towards RED = star moving AWAY. Lines shifted towards BLUE = star moving TOWARDS us.• The GREATER the shift, the FASTER the star is moving.

Every element absorbs light at specific wavelengths, creating dark absorption lines at those exact positions in the spectrum. Each star has a unique pattern of dark lines. When we compare a star's spectrum to a reference (e.g. the Sun):

Lines shifted right (toward red)Star is moving AWAY from us — red-shifted.
Lines shifted left (toward blue)Star is moving TOWARDS us — blue-shifted.
Greater shiftFaster speed of recession or approach.
Same shift amount, different directionStars B and D in Q2 — B is blue-shifted (towards us), D is also shifted; compare amount to compare speeds.
Q1 — Red Shift & Big Bang— 4 marks
Q1ai The light from a distant galaxy has moved towards the red end of the spectrum. What name is given to this effect?
1 mark
Model Answer
Red-shift
1 mark
Q1aii The fact that light from a distant galaxy moves towards the red end of the spectrum gives scientists evidence that… (galaxies are shrinking / galaxies are changing colour / the universe is expanding)
1 mark
Model Answer
The universe is expanding ✓
1 mark
Q1bi Scientists have a theory that the universe began from a very small point and exploded outwards. What name is given to this theory?
1 mark
Model Answer
The Big Bang theory
1 mark
Q1bii Which statement gives a reason why scientists think that the universe began with an explosion? (A) It is the best way of explaining our scientific knowledge. (B) It can be proved using equations. (C) People felt the explosion.
1 mark
Model Answer
A — At the moment it is the best way of explaining our scientific knowledge ✓
1 mark
Q2 — Stellar Spectra— 2 marks
Q2ai Looking at the spectra of stars A, B, C and D compared to the Sun: which star is moving away from the Earth?
1 mark
Model Answer
Star C — its spectral lines are shifted towards the red end (longer wavelength) compared to the Sun
Red-shift = lines shifted toward longer wavelength (red end)
1 mark
Q2aii How does the speed of star B compare with the speed of star D?
1 mark
Model Answer
The speed of star B is less than the speed of star D ✓
Star D has lines shifted further toward the blue end (shorter wavelength = blue-shifted = moving toward us faster); Star B is shifted toward the red end but less than D is shifted blue — D is moving faster
1 mark