12. gravity can't begin, to pull me back to the ground again [NTF] Flashcards

gravitational fields

1
Q

Gravitational field

A

a region of space where a mass experiences an attractive force towards a second force.

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2
Q

What is newtons law of gravitation?

A

an inverse square law

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3
Q

Newtons law of gravitation

A

F = GMm/r^2

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4
Q

Gravitational field strength equation

A

g = F/m = FM/r^2

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5
Q

differences between electric fields and gravitational fields

A
  • electric fields are attractive and repulsive whereas gravitational is just attractice
  • objects can be shielded from electric fields but not gravitational
  • size of an electric field depends on the medium between the objects whereas gravitational does not
  • The force between (unit) charges at a given separation is much stronger than the force between (unit) masses at the same separation
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6
Q

Similarities between electric fields and gravitational fields

A
  • both are unit forces (gravitational - force per unit mass, electric - force per unit positive charge)
  • both are inverse square laws
  • both have infinite range
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7
Q

When is energy transferred?

A

when a mass or charge moves in a field

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8
Q

Why do satellites stay in orbit?

A

Because they’re constantly in free fall along a curve path around the earth

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9
Q

What are the different types of orbit?

A
  • eccentric (altitude varies)
  • polar orbit (passes over noth/south poles)
  • low earth orbit (orbit close to earths surface)
  • geostationary orbit ( takes a constant time to orbit earth)
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10
Q

What can orbits be presumed as?

A

circular

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11
Q

How is presuming orbits circular helpful?

A

F = GMm/r^2 = mv^2/r

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12
Q

What do field lines show?

A

The direction of the force a mass would feel

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13
Q

Properties of gravitational fields

A
  • always attractive
  • can’t be shielded
  • always the same no matter whats placed in between
  • objects have to be large for the field to have any effects i.e. planet size
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14
Q

Gravitational field strength, g

A

force per unit mass

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15
Q

What happens to gravitational field strength below the surface of the earth.

A

g is proportional to the radius at that point. g increases the further you are from the centre until you reach the surface.

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16
Q

Gravitational potential at a point alternative definition

A

the work done in moving a unit mass from infinity to that point

17
Q

Why is gravitational potential negative?

A

you have to do work against the gravitational field to move an object out of it.

18
Q

The further you are from the centre of a radial field…

A

the small the gravitational field strength/ the gravitational potential

19
Q

At an infinite distance from a point mass the gravitational potential will be…

A

0

20
Q

is a mass in moved along equipotentials…

A

no work is done against gravity

21
Q

g =

A

= F/m

= GM/r^2

22
Q

gravitational force of attraction =

A

= mass * centripetal acceleration

GMm/r^2 = m*v^2/r
g = v^2/r
23
Q

gravitational potential, V =

A

-GM/r

24
Q

Why is gravitational potential negative

A

because gravity pulls masses together

25
Q

gravitational potential at a point

A

the work done agaisnt gravity when a 1kg mass is brought from infinity to that point

26
Q

Energy change when an object moves in a field =

A

change in gravitational potential * mass

27
Q

Keplers third law

A

T^2 is proportional r^3

28
Q

potential gradient

A

rate of increase of gravitational potential with distance r

g= dV/dr

29
Q

escape velocity

A

the speed needed to escape a gravitational orbit

30
Q

escape velocity =

A

v = √(2GM/R)