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Summary in depth overview of gravitational fields and electrostatics £3.57
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Summary in depth overview of gravitational fields and electrostatics

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  • Module
  • Physical Sciences
  • Institution
  • 12th Grade

in depth overview of gravitational fields, newtons law of gravitation, gravitational acceleration, electrostatics, coulombs law with examples, definitions and quick tricks

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Document information

  • February 17, 2023
  • 7
  • 2022/2023
  • Summary

Subjects

  • gravitational fields
  • electrostatics
  • coulombs law
  • newtons law of gravitation
  • gravitational acceleration

Written for

  • 12th Grade
  • Physical Sciences
  • 200
All documents for this subject (658)

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, GRAVITATION 1-11-1115
NEWTONS LAW OF UNIVERSAL GRAVITATION -



every paiicunim mass in the universe


attracts every other particle with a force which is
directly proportional to the product of their masses and


inversely proportional to the square of the distance between their centres .

^
F

F -
Force of attraction between two objects (N ) Fdr . .m2

^ ' m2
"


kg 2)
f- ✗
_


N m2
-



f- = 6min 2 G -
Universal gravitational constant [ 6,7×10 .
.
r r 2


v2
mi -
mass of object 1- [
kg] ma -
mass of object 2 [
kg] f- 2 :-<
r distance between the centres of the 2 objects (m)
-




eg .
The earth has a radius C 6138 ✗ 106m) and is 3,844 ✗ 108m from the Moon which has a radius at 11737 ✗ 106m .
If the
"
mass of the earth is 5,97×102 kg and the moon 735×10
"
kg Determine
,
the gravitational force experienced between the planets :
6min L
F =
v2



( 6,7×10
" "
) ( 5,97×102 4) (7,35×1022)
3,844 ✗108
=
6,38 ✗ 106 1,737×106
.
>< >< . ( 6,38×106+3,844×108 + 1,337 ✗ 106 ) 2



=
102°




Neg
1,91 ✗




.
An asteroid with a mass of 200 tons passes between the earth and the moon . The centre 0C the asteroid is 3,91 ✗ 108m
from the centre ol the earth and 1,91 ✗ 106m from the centre at the noon . Determine the resultant force acting on the asteroid:

force 0L Earth on asteroid force of moon on asteroid

) (5,97×1024) (200×103) 1) (7,35×1032) (200×103)
- '
Fea ( 6,7×10
"
Fma = ( 6,7×10
_
=


(3,91 × 108) 2 ( 1 as ✗
,
106 ) l


3,91 ✗ 108 ,, at ✗ 106
¢
= =
523,27N towards the Earth 269976,15N towards moon




- : fret =
269 976,1s -523,27=269 452,88 N towards the noon




GRAVITATIONAL FIELDS -

toraacnngpeuniimass

(a in space where force
region a mass experiences a .




always a force ol ATTRACTION pulls -
bodies towards the centre of the earth


( Nkg )
'


g- gravitational field strength
'




g
=
É f- force experienced by the object ( N)



M -
mass ol the object Ckg

The strength of the gravitational field will be it the mass ol the planet is large and it will decrease with increasing distance from the at the planet
greater centre

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