This page covers the gravitational fields section of the course. Some people find this section very tricky. You must learn the formulae a and what each one means very carefully before you try and do the problems. They are so similar it gets a bit confusing. However, just learn each one carefully and make a definitions sheet. Then it will be clear! Also potential energy and gravitational potential are not the same thing!

PASCO Gravitational Torsion Balance Cavendish's Experiment Part 1

Amazing equipment to find G of the universe

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PASCO Gravitational Torsion Balance Cavendish's Experiment Part 1

Amazing equipment to find G of the universe

Amazing equipment to find G of the universe

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PASCO Gravitational Torsion Balance Cavendish's Experiment Part 2

This shows how the dot moves.

This shows how the dot moves.

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Brian Cox visits the world's biggest vacuum | Human Universe - BBC

Subscribe and 🔔 to the BBC 👉 https://bit.ly/BBCYouTubeSub Watch the BBC [...]

Subscribe and 🔔 to the BBC 👉 https://bit.ly/BBCYouTubeSub Watch the BBC first on iPlayer 👉 https://bbc.in/iPlayer-Home Brian Cox visits NASA’s Space Power Facility in Ohio to see what happens when a ...bowling ball and a feather are dropped together under the conditions of outer space.

In this episode, Professor Brian Cox explores our origins, place and destiny in the universe. We all start our lives thinking that we are at the centre of the universe, surrounded by our family and the world as it spins around us. But the urge to explore is strong. Brian tells the story of how our innate human curiosity has led us from feeling that we are at the centre of everything, to our modern understanding of our true place in space and time - that we are living 13.8 billion years from the beginning of the universe, on a mere speck of rock in a possibly infinite expanse of space.

Human Universe | Series 1 Episode 4 | BBC Four

#bbc #HumanUniverse All our TV channels and S4C are available to watch live through BBC iPlayer, although some programmes may not be available to stream online due to rights. If you would like to read more on what types of programmes are available to watch live, check the 'Are all programmes that are broadcast available on BBC iPlayer?' FAQ 👉 https://bbc.in/2m8ks6v.[+] Show More

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GCSE Physics - Gravity, Weight and GPE #3

This videos covers: - What gravity is - What the strength of gravity [...]

This videos covers: - What gravity is - What the strength of gravity depends on - How to calculate weight - How to calculate gravitational potential energy

General info: - You need to memorise ...the equation for gravitational potential energy - Suitable for all GCSE and IGCSE courses

Exam board specific info: AQA - Everything is relevant to your course! IGCSE Edexcel - Everything is relevant to your course! Edexcel - Everything is relevant to your course! OCR 21st Century - Everything is relevant to your course! OCR Gateway - Everything is relevant to your course![+] Show More

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Galileo's Measure Of Gravity Explained By Jim Al-Khalili | The Amazing World Of Gravity | Spark

When you drop an object it's actually quite hard to tell if it falls at a [...]

When you drop an object it's actually quite hard to tell if it falls at a constant speed or picks up speed as it drops, but Galileo realised this...

Subscribe to ...Spark for more amazing science, tech and engineering videos - https://goo.gl/LIrlur

Content licensed from TVF International to Little Dot Studios. Any queries, please contact us at: [email protected]

#spark #sparkdocumentary #sciencedocumentary[+] Show More

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Physics 8.1.03a - The Inverse Square Law

The nature of an inverse square law, and how it arises naturally as a [...]

The nature of an inverse square law, and how it arises naturally as a property of three dimensional space. Newton understood geometrically that light dispersed according to an inverse ...square law and surmised, correctly, that gravitational force would be described in a similar manner. From the Physics course by Derek Owens.[+] Show More

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Inverse Square Law

Gravity follows the inverse-square law, which means that as you double the [...]

Gravity follows the inverse-square law, which means that as you double the distance, the force of gravity becomes one-fourth as strong. Duration: 2:51.

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The Universal Law of Gravitation - Part 1 | Physics | Don't Memorise

This video explains the concept of the Universal Law of Gravitation. To [...]

This video explains the concept of the Universal Law of Gravitation.

In this video, we will learn: 0:00 Gravitational Force 0:36 Newton's Second Law of Motion 1:21 Introduction to The Universal Law of Gravity 1:48 Definition of The Universal Law of Gravity 2:04 Equations of The Universal Law of Gravity 2:14 Universal Gravitational Constant 2:59 Value of G 3:13 Unit of G

A gravitational field is ...a region around one mass, which affects other nearby masses. It is very weak however which is why the effect is only significant on large objects like the Earth. We can represent the Earth’s gravitational field by drawing field lines showing the direction of the gravitational force on masses in the field. In this case the field is radial and equally spread around the earth. On the surface of the earth the gravitational field is approximately uniform because the field lines are virtually pointing in the same direction and are equally spaced. This is why we assume the acceleration due to gravity is a constant of 9.81m/s^2 because the change at small vertical heights is negligible.

Newton’s law of gravitation states that all masses attract each other with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between the two centres of mass. This gives us the equation F= - GMm/r^2. Where G is the universal gravitational constant of 6.67x10^-11; M is the mass of the larger body; m is the mass of the smaller body; and r is the distance between the centres of mass of the two bodies. The minus sign simply refers to the to the fact that the force is attractive. For example, two bodies, one of mass 6kg and the other of mass 20kg are placed 50cm apart. From this we can work out the gravitational force acting on each object as 3.20x10^-8N. The force acting on each body is equal because they are attracted to each other.

The gravitational field strength is the force per unit mass at a point in a gravitational field. For a uniform field the equation is F/m, where F is the force experienced by the body and m is the mass of the body. For a radial field, the gravitational field strength obeys an inverse square law. The equation for it is g=GM/r^2. You can see how the gravitational field strength would decrease the further you were from the centre of the body producing the field.

This formula can be used to work out the masses of celestial bodies. For example, given that the gravitational field strength on the earth’s surface is 9.81 N/kg and the radius of the earth is 6400km, we can work out the mass of the earth to be 6.02x10^24kg.

When considering planetary motion, the gravitational force acting on the body orbiting is equal to the centripetal force because the force acts perpendicular to the direction of motion. By equating the two formulas and using the formula for the speed of an object in circular motion we get the equation T^2=(4π^2/GM)r^3. Where T is the orbital period in seconds and r is the distance between the centres of mass of the orbiting body and body being orbited. This equation shows Kepler’s third law which states that the T^2 is directly proportional to r^3. This also suggests that for a set of celestial bodies (e.g. the planets of our solar system) orbiting the same large body (e.g. the sun), T^2/r^3 is a constant and is equal for all the celestial bodies. For example, given that it takes 365 days for the Earth to orbit the sun and that the distance of the earth from the centre of the sun is 1.5x10^11m. We can work out the mass of the sun to be about 2.00x10^30kg.

Given that the orbital period of mars is 687 days, we can use the Earth’s orbital characteristics to work how far Mars is from the centre of the Sun as being 2.29x10^11m.

A geostationary orbit is an orbit around the Earth whose orbital period is 24 hours. They are located above the equator and are always vertically above the same point on the surface of the Earth. This makes them useful for TV satellites because the dishes can be pointed to a fixed point in the sky. Which is quite convenient I’d say.

References: 1. CGP AS & A2 Physics for OCR A, ISBN: 9781847624192[+] Show More

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Gravitational Field Strength

025 - Gravitational Field Strength In this video Paul Andersen explains how [...]

025 - Gravitational Field Strength

In this video Paul Andersen explains how the gravitational field strength is directly related to the mass of the object and indirectly related to the square ...of the distance from the center of mass. The equation for gravitational field strength was discovered by Sir Isaac Newton and contains a gravitational constant.

In this channel of YouTube are edited videos for high school students as [...]

In this channel of YouTube are edited videos for high school students as well as for students of physics, chemistry, biology, medicine, pharmacy, agriculture and all branches studying science of ...physics.[+] Show More

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Gravitational Potential Energy | A-level Physics | OCR, AQA, Edexcel

Gravitational Potential Energy in a Snap! Unlock the full A-level Physics [...]

Gravitational Potential Energy in a Snap!

Unlock the full A-level Physics course at https://bit.ly/2TsvHo0 created by Miriam, Physics expert at SnapRevise.

SnapRevise is the UK’s leading A-level and GCSE revision & ...exam preparation resource offering comprehensive video courses created by A* tutors. Our courses are designed around the OCR, AQA, SNAB, Edexcel B, WJEC, CIE and IAL exam boards, concisely covering all the important concepts required by each specification. In addition to all the content videos, our courses include hundreds of exam question videos, where we show you how to tackle questions and walk you through step by step how to score full marks.

Sign up today and together, let’s make A-level Physics a walk in the park![+] Show More

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Gravitational potential and gravitational potential energy: from fizzics.org

Kepler's Third Law of Planetary Motion Explained, Physics Problems, Period & Orbital Radius

This physics video tutorial explains kepler's third law of planetary [...]

This physics video tutorial explains kepler's third law of planetary motion. It provides physics problems where you have to calculate the period of Mars or the distance between Venus ...and the Sun using the orbital radius of earth and sun-earth mean distance. This video also provides the formula needed to calculate the mass of the sun.

Kepler's 3rd Law for Planetary Celestial Mechanics Physics Lesson

http://www.physicshelp.ca Free simple easy to follow videos and we have [...]

http://www.physicshelp.ca Free simple easy to follow videos and we have organized them on our website. Key words Celestial mechanics physics kepler's third law three laws orbital period constant

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The Cavendish Experiment - Sixty Symbols

Henry Cavendish was an unusual man but also one of the first great [...]

Henry Cavendish was an unusual man but also one of the first great scientists. Many of his discoveries remained hidden in his notebooks, but his name is still attached to ...the the extraordinary Cavendish Experiment.