Gravitation Flashcards

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1
Q

What is a force field and what is an example of one?

A
  1. A force filed is a region where an object will experience a non-contact force
  2. Force fields cause interactions between objects or particles e.g. between static or moving charges, or in the case of gravity, between masses
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2
Q

What is Newton’s law of attraction?

A

F = Gm1m2 / r2

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3
Q

What can Newton’s law be used to calculate?

A
  1. The force between two point masses
  2. The force between a planet and a small mass
  3. The force between two planets or stars
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4
Q

What happens when a mass is placed in a gravitational field?

A

Any object with mass will experience an attractive force if you put it in the gravitational filled of another object

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5
Q

How does gravity change?

A
  1. On Earth gravity exerts a larger force on more massive objects
  2. The moon has a smaller surface gravity than the Earth because it is a less massive body
  3. A planet’s pull of gravity gets weaker further away from that planet’s surface
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6
Q

What is G?

A

The universal constant of gravitation, 6.67x10^-11 Nm^2kg^-2

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7
Q

What is the inverse square law?

A

1/r2

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8
Q

What is gravitational field?

A

A region in space in which a massive object experience a gravitational force

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9
Q

What is field strength?

A

The strength of the gravitational field measured in Nkg^-1

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10
Q

What do field lines represent?

A
  • The direction of the gravitational force on an object and strength of the field
  • The spacing of the lines gives a measure of field strength
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11
Q

What is the gravitational field strength defined as?

A

g = F/m (gravitational force, N), (mass, kg)

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12
Q

What is the gravitational field like near the surface of a planet?

A
  • The gravitational field is very early uniform

- This means that the field is one of the same strength and direction everywhere

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13
Q

What is the shape of the field near to the Earth? What does this mean?

A
  • Radial field

- Here the field lines all point to the centre of the planet

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14
Q

Why can you still use Newton’s law of gravity to calculate the gravitational forces between two planets?

A

The field is exactly the same shape as it would have been if all the mass of the planet were concentrated at its centre

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15
Q

How does gravitational field strength change?

A

The gravitation field strength DECREASES in strength with increasing distance from the centre of the planet

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16
Q

What is another equation for gravitational field strength?

A

g=GM/r^2

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17
Q

How do you calculate gravitational potential energy?

A

mgh

18
Q

What is gravitational potential difference?

A
  • The gravitational energy difference per kilogram
  • Gravitational potential and potential difference have unit Jkg-1
  • Gravitational potential is given the symbol V, and the gravitational potential difference is given the symbol deltaV
19
Q

How do you calculate gravitational potential difference?

A

DeltaV = gDeltah

20
Q

What happens when an object moves along an equipotential line?

A

The potential energy (and therefore the potential) stays the same

21
Q

What are equipotential surfaces?

A
  • They are always at right angles to the gravitational field
  • When something moves at right angles to the field (and hence along the equipotential) NO WORK IS DONE by or against the filed, so there is NO potential energy change
  • When something moves along a field line, there is a change of gravitational potential energy
22
Q

How is gravitational field linked to the gravitational potential gradient? Why is there a minus sign?

A

g = -DeltaV / Deltah
-The significance of the minus sign is that the potential gradient deltaV/deltah is in a positive direction upwards, because the potential increases as the height above the planet increases. The gravitational field direction is downwards

23
Q

How does the gravitational force on an object of mass m change near to planet of mass M?

A
  • The graph shows that a force F, acts not he object at. distance r form the centre of the planet
  • If the object is moved a small distance, or further away from the planet, we can calculate the increase, in the objects GPE
  • DeltaEp = work done = fr
24
Q

Why is fdeltar more usually written as mgdeltah?

A

Because the force acting on the mass is equal to it weight, mg

25
Q

How do you calculate the change in potential energy?

A

DeltaEp = GMm [1/r1 - 1/r2]

26
Q

What is the increase in potential, deltaV?

A

DeltaEp/m

-This allows use to think about defining gravitational potential close to a planet

27
Q

What is the potential change moving r1 to infinity?

A

DeltaV = GM/r1

28
Q

What is the potential at a distance r from the centre of a planet of mass M?

A

V = -GM/r

29
Q

How does the potential gradient change?

A
  1. The potential gradient is steep closer to the planet’s surface
  2. The filed lines are closer together near the surface, because the gravitational field strength, g, is stronger
    - These tow statements ar blinkend through g= -deltaV / deltah or g=-deltav/deltar
    - These are the same but deltah has been used for a change in height and delta has been used for a change in distance from the centre of a planet
30
Q

Why does the Earth has an atmosphere?

A

-The molecules of gas moving in our atmosphere do not have enough kinetic energy to escape the pull of gravity at the Earth’s surface

31
Q

What happens when a fast moving object leaves the surface of a planet?

A
  • The decrease in kinetic energy os equal to the increase in gravitational potential
  • This assume that the object is NOT affected by an atmosphere and is in free fall (this is not a spacecraft with a rocket)
32
Q

What happens when a n object is is about to just escape the pull of the planet?

A

Ke1 - Ke2 = mdelatV

-Its speed V2, will kist reach zero at an infinite distance from the planet

33
Q

What is escape velocity?

A

The minimum velocity an object mist have at the surface of a planet to escape the pull of gravity using its own kinetic energy

34
Q

What does the pull of gravity do in relation to the circular motion?

A

The pull of gravity provides the necessary centripetal force to keep the planet in orbit

35
Q

How do you work out the velocity of an orbit? What does it tell you?

A

V^2 = GM/r

-The speed of the orbit is faster for small orbits

36
Q

How do you link the time period of an orbit to the radius of the orbit?

A

-The speed of the orbit is linked to the circumference @pir and the time period, T of the orbit through the equation:
V = wr = 2pir / T
T^2 = (4pi^2 / GM) r^3

37
Q

What are the different orbits?

A
  • Most orbits have an elliptical shape
  • Most planetary orbits are nearly circular
  • However comets, some minor planets have elongated (or eccentric) elliptical orbits
  • The Sun’s solar wind always blows the comets tail away from the sun
38
Q

Describe the motion of an elliptical orbit A to D, starting at A nearest the Sun

A
  • When a planet or comet moves in an elliptical orbit, its speed changes, but the total energy of the body stays the same
  • A: comest moves at fastest orbital speed, but smallest GPE because ti is closest to the Sun
  • B: component of the Sun’s gravitational pull on the comet which slows it down
  • C: It is at its furtherest point form the sun and it has its lowest KE at this point but highest GPE
  • D: The comet is falling back towards the Sun, there is a component of the Sun’s gravitational pull, which speeds it ip. The comets potential energy is being transferred into KE, and the comet reaches it maximum speed again at A
39
Q

How are satellite orbits use?

A
  • Satellites are in orbit around the Earth (for communications and observations)
  • Low orbit: able to take photos of world below
  • High orbit: useful for communication because messages may be sent form one part of the world to another via the satellite
40
Q

Whta is a geosynchronous orbit?

A
  • In this case the satellite is placed in orbit above the Earth;s equator, at such a height that it takes exactly one day to complete an orbit
  • The orbit is synchronised with the Earth’s rotation, so that it remains in the same place above the Earth’s surface
  • This means that our satellite dishes e.g. can be aligned with a satellite which always lies in the same position relative to Earth
41
Q

State Newton’s law of gravitation

A
  • Forces of attraction between two point masses
  • Is proportional to the product of the masses
  • Inversely proportional to the square of the distance between them