Cambridge IGCSE0972

The Earth and the Solar System

Physics 0972 Chapter Notes

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The Earth and the Solar System - The EarthThe Earth and the Solar System - The Solar System
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1. The Earth, Sun and Moon System

The Earth is a planet that orbits a star, the Sun. One full orbit takes approximately 365.25 days, which we define as a year. The Earth also spins on its own axis, an imaginary line running through the North and South poles. One full rotation takes 24 hours, causing day and night. As the Earth rotates, different parts of its surface face the Sun (daytime) or away from it (night-time). The Earth's axis is tilted at an angle of 23.5 degrees relative to its orbit. This tilt is the reason for the seasons. When the Northern Hemisphere is tilted towards the Sun, it receives more direct sunlight for longer periods, resulting in summer. Six months later, it is tilted away from the Sun, causing winter. The Moon is a natural satellite that orbits the Earth, taking about 27 days. We see the Moon because it reflects sunlight. The 'phases of the Moon' are the different shapes we see, which depend on how much of the Moon's sunlit side is visible from Earth as it orbits us.

Key term

Axial Tilt: The angle between a planet's rotational axis and its orbital axis, which is the primary cause of seasons.

Examiner insight

Examiners award marks for clearly distinguishing between the cause of day/night (rotation) and the cause of seasons (axial tilt and orbit).

Common pitfall

Stating that seasons are caused by the Earth getting closer to or further from the Sun. The cause is the axial tilt.

Worked example 12 marks

The diagram shows the Earth in four positions in its orbit around the Sun. When the Earth is in position 1, it is summer in the northern hemisphere. What is the season in the southern hemisphere when the Earth is in position 3?

  1. 1

    Step 1: Identify the starting condition. In position 1, it is summer in the northern hemisphere. This means the northern hemisphere is tilted towards the Sun.

  2. 2

    Step 2: Understand the Earth's orbit. The Earth takes one year (four seasons) to complete its orbit. Position 3 is halfway through the orbit from position 1.

  3. 3

    Step 3: Determine the tilt at position 3. At position 3, the Earth has moved to the opposite side of the Sun. The northern hemisphere, which was tilted towards the Sun, is now tilted away from the Sun.

  4. 4

    Step 4: Relate tilt to seasons. When a hemisphere is tilted away from the Sun, it experiences winter. Therefore, it is winter in the northern hemisphere at position 3.

  5. 5

    Step 5: Determine the season in the opposite hemisphere. The seasons in the southern hemisphere are opposite to those in the northern hemisphere. If it is winter in the north, it must be summer in the south.

  6. 6

    Answer: Summer.

Worked example 23 marks

Explain why we see different phases of the Moon over the course of a month.

  1. 1

    Step 1: State that the Moon does not produce its own light. The Moon is visible because it reflects light from the Sun.

  2. 2

    Step 2: Describe the Moon's motion. The Moon orbits the Earth approximately every 27-29 days.

  3. 3

    Step 3: Link the orbit to our viewpoint. As the Moon orbits the Earth, we see different amounts of its sunlit half.

  4. 4

    Step 4: Provide an example. When the Moon is between the Earth and Sun, the sunlit side faces away from us (New Moon). When the Earth is between the Sun and Moon, we see the entire sunlit side (Full Moon). In between, we see partial illumination (e.g., crescents and gibbous phases).

Recap

  • Day and night are caused by the Earth's 24-hour rotation on its axis.
  • A year is the 365.25 days it takes for the Earth to orbit the Sun.
  • Seasons are caused by the Earth's 23.5-degree axial tilt, not its distance from the Sun.
  • The Moon is a natural satellite that orbits the Earth.
  • The phases of the Moon are due to the changing angle at which we view its sunlit surface.

Quick check

  1. What motion of the Earth causes a year?1 mark
  2. Does the Moon produce its own light?1 mark

2. The Solar System

The Solar System consists of the Sun and all the objects that orbit it due to its gravity. The Sun itself contains over 99.8% of the total mass of the Solar System. There are eight planets, which can be divided into two groups. The four inner planets are Mercury, Venus, Earth, and Mars. They are known as terrestrial planets because they are relatively small, dense, and have rocky surfaces. The four outer planets are Jupiter, Saturn, Uranus, and Neptune. They are known as gas giants because they are very large, have low densities, and are composed mainly of gas (like hydrogen and helium) with no solid surface. Between Mars and Jupiter lies the asteroid belt, a region containing millions of rocky objects called asteroids. Other objects in the Solar System include dwarf planets (like Pluto), which are spherical bodies that orbit the Sun but haven't cleared their orbital path, and comets, which are lumps of ice, dust, and rock with highly elliptical orbits.

Key term

Gas Giant: A large outer planet of low density consisting mainly of hydrogen and helium, such as Jupiter or Saturn.

Common pitfall

Confusing asteroids (rock) with comets (ice and dust). Remember comets develop a 'tail' when near the Sun, asteroids do not.

Fun fact

If you could put Saturn in a giant bathtub, it would float! Its average density is less than that of water.

Worked example 12 marks

State two main differences between the inner planets and the outer planets of the Solar System.

  1. 1

    Step 1: Recall the properties of the inner planets (terrestrial). They are small, dense, and made of rock.

  2. 2

    Step 2: Recall the properties of the outer planets (gas giants). They are large, have low density, and are made of gas.

  3. 3

    Step 3: Select two distinct points of comparison. Good comparisons are size, composition, and density.

  4. 4

    Answer: 1. The inner planets are small and rocky, while the outer planets are large and gaseous. 2. The inner planets have high density, while the outer planets have low density.

Recap

  • The Sun is at the centre of our Solar System.
  • The order of the planets is Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.
  • The inner four planets are small and rocky (terrestrial).
  • The outer four planets are large and gaseous (gas giants).
  • Asteroids are rocky objects found mainly in the asteroid belt between Mars and Jupiter.
  • Comets are icy bodies with highly elliptical orbits.

Quick check

  1. Which planet is closest to the Sun?1 mark
  2. What type of object is found in a belt between Mars and Jupiter?1 mark

3. Orbits and Gravity

An orbit is the curved path of a celestial object around a star, planet, or moon. Orbits are caused by gravitational force. The Sun's immense gravitational pull is what keeps the planets in their orbits. This force acts as a centripetal force, constantly pulling the planets towards the centre (the Sun) and changing their direction of motion. Without this force, a planet would travel in a straight line off into space. The strength of gravity depends on the mass of the objects and the distance between them. It gets weaker as the distance increases. This is why planets further from the Sun orbit more slowly and have longer years. For an object to maintain a stable circular orbit, its speed must be just right. The speed(v) for a circular orbit can be calculated if you know the orbital radius(r) and the time it takes for one orbit, known as the orbital period (T).

v = (2 * π * r) / T

Key term

Gravitational Force: The universal force of attraction acting between all matter, which keeps planets and moons in orbit.

Examiner insight

In calculation questions, marks are often given for correctly stating the formula, showing the substitution, and giving the final answer with the correct units.

Common pitfall

Thinking that there is no gravity acting on astronauts in orbit. They are constantly falling towards Earth, but they have enough sideways velocity to keep missing it.

Worked example 12 marks

The dwarf planet Ceres has a nearly circular orbit of radius 4.13 x 10^8 km. It takes 4.04 x 10^4 hours to orbit the Sun. Calculate its orbital speed in km/hr.

  1. 1

    Step 1: Identify the formula for orbital speed: v = (2 * π *r) / T.

  2. 2

    Step 2: Identify the given values. Orbital radius r = 4.13 x 10^8 km. Orbital period T = 4.04 x 10^4 hours.

  3. 3

    Step 3: Substitute the values into the formula. v = (2 * π * 4.13 x 10^8 km) / (4.04 x 10^4 hr).

  4. 4

    Step 4: Calculate the numerator. 2 * π * 4.13 x 10^8 ≈ 2.595 x 10^9 km.

  5. 5

    Step 5: Perform the division. v = (2.595 x 10^9 km) / (4.04 x 10^4 hr) ≈ 64232 km/hr.

  6. 6

    Step 6: State the final answer with appropriate significant figures and units. v ≈ 6.42 x 10^4 km/hr.

Recap

  • Gravity provides the centripetal force required to keep objects in orbit.
  • The strength of gravitational force decreases with increasing distance.
  • Planets further from the Sun have longer orbital periods and move more slowly.
  • The speed of an object in a circular orbit depends on its orbital radius and period.
  • Most planets have near-circular orbits, but some objects like comets have highly elliptical orbits.

Quick check

  1. What force is responsible for keeping the Moon in orbit around the Earth?1 mark
  2. If a satellite moves to a higher orbit, does its orbital period increase or decrease?1 mark

4. Stars, Galaxies and Cosmic Scale

Our Sun is a star. A star is a massive, luminous sphere of plasma held together by its own gravity, which generates energy through nuclear fusion in its core. The Sun is just one of billions of stars in our galaxy, the Milky Way. A galaxy is a huge collection of stars, gas, and dust held together by gravity. The Universe is everything that exists, and it is made up of billions of galaxies. The distances between stars and galaxies are so vast that metres or kilometres are impractical. Instead, astronomers use the light-year. A light-year is the distance light travels in one year. Since light is the fastest thing in the universe, this distance is enormous (about 9.46 trillion km). The distances between galaxies are typically millions of times greater than the distances between stars within a galaxy.

1 light-year ≈ 9.46 x 10^12 km

1 light-year ≈ 9.46 x 10^15 m

Key term

Light-Year: The distance that light travels in a vacuum in one year, used to measure astronomical distances.

Examiner insight

Examiners expect you to appreciate the hierarchy of scale: Planet < Solar System < Galaxy < Universe.

Common pitfall

Mistaking a light-year for a unit of time. It is a distance.

Worked example 12 marks

The Andromeda Galaxy is approximately 2.5 million light-years from Earth. Calculate this distance in kilometres. (1 light-year ≈ 9.46 x 10^12 km)

  1. 1

    Step 1: Express 2.5 million in standard form. 2.5 million = 2.5 x 10^6.

  2. 2

    Step 2: Set up the conversion. Distance in km = (Distance in light-years) x (km per light-year).

  3. 3

    Step 3: Substitute the values. Distance = (2.5 x 10^6) * (9.46 x 10^12 km).

  4. 4

    Step 4: Multiply the numbers and add the powers of ten. Distance = (2.5 * 9.46) x 10^(6+12) km.

  5. 5

    Step 5: Calculate the final answer. Distance = 23.65 x 10^18 km = 2.365 x 10^19 km.

Recap

  • The Sun is a medium-sized star.
  • A galaxy is a massive collection of billions of stars.
  • Our galaxy is called the Milky Way.
  • The Universe contains billions of galaxies.
  • A light-year is a unit of distance, not time.

Quick check

  1. What is the name of the galaxy that contains our Solar System?1 mark
  2. Which is larger: the distance between planets in our solar system or the distance between stars in our galaxy?1 mark

5. The Birth of the Solar System

The Solar System formed about 4.6 billion years ago from a nebula - a vast, cold cloud of gas and dust. A nearby event, like a supernova explosion, may have sent a shockwave through the cloud, causing it to start collapsing under its own gravity. As the cloud collapsed, it began to spin faster and flatten into a rotating disk, known as an accretion disc. Most of the mass was pulled to the centre, becoming hotter and denser, forming a protostar. When the core of the protostar became hot and dense enough, nuclear fusion began, and it became a true star: our Sun. In the surrounding accretion disc, tiny particles of dust and ice began to stick together. Through a process called accretion, these clumps grew into larger bodies called planetesimals. Over millions of years, these planetesimals collided and merged to form the planets, moons, asteroids, and comets we see today.

Key term

Accretion Disc: A rotating disc of gas and dust from which planets and other celestial bodies are formed around a central star.

Examiner insight

Marks are awarded for using the correct terminology in the correct sequence: nebula -> protostar -> star, with gravity as the driving force.

Worked example 16 marks

Copy and complete the passage below using some of the words from the box. | accretion disc | gravity | supernova | nebula | Big Bang | protostar | planets | star | galaxy |

The Solar System formed in a huge cloud of gas and dust called a _____. In the cloud, _____ started to pull material together. At the centre, the biggest clump (called a _____) got hotter and hotter until fusion started and it became a _____. Around it a huge, rotating _____ had formed. In this, material clumped together to form the _____.

  1. 1

    Step 1: The starting point for a solar system is a cloud of gas and dust, which is a nebula.

  2. 2

    Step 2: The force that pulls material together is gravity.

  3. 3

    Step 3: The hot, dense clump at the centre before a star is born is a protostar.

  4. 4

    Step 4: When fusion begins, the protostar becomes a star.

  5. 5

    Step 5: The rotating disk of material around the new star is the accretion disc.

  6. 6

    Step 6: The objects that form within this disk are planets.

  7. 7

    Answer: nebula, gravity, protostar, star, accretion disc, planets.

Recap

  • The Solar System formed from a giant cloud of gas and dust called a nebula.
  • Gravity caused the nebula to collapse and form a spinning accretion disc.
  • A protostar formed at the centre, which became the Sun when nuclear fusion started.
  • Planets formed in the accretion disc through the process of accretion.

Quick check

  1. What is the name for a 'baby star' before nuclear fusion begins?1 mark
  2. What force drives the formation of stars and planets from a nebula?1 mark

6. The Expanding Universe and the Big Bang

The Big Bang theory is the leading scientific model for how the Universe began. It states that the Universe started from an extremely hot, dense single point around 13.8 billion years ago and has been expanding and cooling ever since. There are two key pieces of evidence for this. The first is the redshift of distant galaxies. When we observe light from distant galaxies, the wavelengths are longer than they should be, meaning the light is shifted towards the red end of the spectrum. This is a Doppler effect for light, and it tells us that these galaxies are moving away from us. Crucially, the further away a galaxy is, the greater its redshift, meaning it's moving away faster. This observation of universal expansion implies everything started from a single point. The second piece of evidence is the Cosmic Microwave Background (CMB) radiation. This is faint microwave radiation detected from all directions in space. Scientists interpret it as the 'afterglow' or leftover heat from the Big Bang, which has cooled down over billions of years as the Universe expanded.

Key term

Redshift: The stretching of light waves to longer wavelengths as the source of the light moves away from the observer.

Examiner insight

A complete answer links the observation (redshift) to the inference (galaxies are receding) and then to the theory it supports (the Big Bang).

Common pitfall

Simply stating 'redshift' as evidence without explaining what it is and what it implies about the motion of galaxies.

Worked example 13 marks

Explain how the observation of redshift from distant galaxies provides evidence for the Big Bang theory.

  1. 1

    Step 1: Define redshift. Redshift is the observation that light from distant galaxies is shifted to longer wavelengths.

  2. 2

    Step 2: Interpret redshift. This shift indicates that the galaxies are moving away from us.

  3. 3

    Step 3: State the relationship. Observations show that more distant galaxies have a greater redshift, which means they are moving away from us faster.

  4. 4

    Step 4: Link to the Big Bang. This suggests that the entire Universe is expanding from a single point. If we 'rewind' this expansion, everything must have been in one place at the beginning, which is the core idea of the Big Bang theory.

Recap

  • The Big Bang theory states the Universe began from a hot, dense point and has been expanding ever since.
  • Evidence for expansion comes from the redshift of light from distant galaxies.
  • Redshift shows that galaxies are moving away from us, and more distant galaxies are moving away faster.
  • Cosmic Microwave Background (CMB) radiation is leftover energy from the Big Bang, providing further evidence.

Quick check

  1. What is the name for the faint radiation found everywhere in the Universe, believed to be leftover from the Big Bang?1 mark
  2. If a galaxy's light is 'blueshifted', what does this tell you about its motion relative to us?1 mark

End-of-chapter exercise

Test yourself on the whole chapter. Work through these before moving on.

  1. Explain, with the aid of a simple diagram, why the Earth experiences seasons.3 marks
  2. The Sun is at the centre of the Solar System, which is part of a galaxy called the Milky Way. This is all part of the Universe. What is the name of the theory that describes the origin of the Universe?1 mark
  3. Venus orbits the Sun at a distance of 1.08 x 10^11 m. Its orbital period is 225 Earth days. Calculate the orbital speed of Venus in m/s. (1 day = 86400 seconds).3 marks
  4. Describe the main differences in composition and size between the inner planets and the outer planets of our Solar System.2 marks
  5. Explain what a light-year is and why it is used in astronomy.2 marks
  6. A student claims the Moon has phases because it moves into the Earth's shadow. Explain why this is incorrect and provide the correct reason for the Moon's phases.3 marks
  7. Describe the key stages in the formation of a solar system like ours, starting from a nebula.4 marks
  8. Astronomers observe that light from almost all distant galaxies is redshifted. Explain what redshift is and how this observation supports the theory of an expanding Universe.4 marks
  9. Apart from planets, name and briefly describe two other types of object that orbit the Sun.4 marks
  10. What is Cosmic Microwave Background radiation and what is its significance as evidence for the Big Bang theory?2 marks

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