, Law of Universal Gravitation
If apple falls from tree it accelerates due to force (Newton11)
·
an a a
,
↳ this force :
gravity
Gravity the force acting between any 2 objects that have Mass
·
is
↳ this how the orbits Earth 9 how orbit the Sun
is Moon
, planets
: the attraction force between 2 objects is directly proportional to their m a ss e s
↳
le :
FX m ,
.
ma
: The Force is
inversely proportional to the distance? between the objects' midpts (distance t ; Force v)
↳ ie : FX je
Newton's Law of Universal Gravitation :
every particle with 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
OR :
mi .
mz
G
F =
r2
F- Force
constant/6 7x10
- "
G = U G .
.
.
r =
distance between centres
G vs .
g
G :
proportionality constant , is the same throughout the universe
acceleration of freefall
g gravitational object
·
: an in
↳ changes
planet/position (9 Earth)
depending on mass of in universe .
8 on
Summary of Law of U G
..
·
when objectA exerts a gravitational force (Its weight) on object B ,
object B simultaneously exerts a force of equal
Magnitude an object A but in the opposite direction (value =
weight A)
of
=
Newton 3
:. this implies :
I Force of gravity ac ts on both objects
2) magnitude of g.
.
f
Is identical on each object
2) Both objects are pulled towards each other f is an attractive force
as
g . .
Jim is attracted to Betty. Jim’s mass is 90 kg and Betty’s mass is 57 kg. If Jim is
Eg 1 :
standing 10 meters away from Betty, what is the gravitational force between them?
m .
mz
F =
Go vz
F
-x10
% 90.
F =
3 .
44x10. N attraction
Two spheres of equal mass have a force of gravity of 7 x 10-9 N exerted on each
Eg 2 : other. If the distance between them is 7 m, find the mass of each sphere.
.
m mz
F =
G. va
-
9 6 .
7 x10 -" -
M2
7x10 =
49
49 .
7x10-9
m2
=
6 7 x10"
.
m
=
71 55 .
kg
If apple falls from tree it accelerates due to force (Newton11)
·
an a a
,
↳ this force :
gravity
Gravity the force acting between any 2 objects that have Mass
·
is
↳ this how the orbits Earth 9 how orbit the Sun
is Moon
, planets
: the attraction force between 2 objects is directly proportional to their m a ss e s
↳
le :
FX m ,
.
ma
: The Force is
inversely proportional to the distance? between the objects' midpts (distance t ; Force v)
↳ ie : FX je
Newton's Law of Universal Gravitation :
every particle with 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
OR :
mi .
mz
G
F =
r2
F- Force
constant/6 7x10
- "
G = U G .
.
.
r =
distance between centres
G vs .
g
G :
proportionality constant , is the same throughout the universe
acceleration of freefall
g gravitational object
·
: an in
↳ changes
planet/position (9 Earth)
depending on mass of in universe .
8 on
Summary of Law of U G
..
·
when objectA exerts a gravitational force (Its weight) on object B ,
object B simultaneously exerts a force of equal
Magnitude an object A but in the opposite direction (value =
weight A)
of
=
Newton 3
:. this implies :
I Force of gravity ac ts on both objects
2) magnitude of g.
.
f
Is identical on each object
2) Both objects are pulled towards each other f is an attractive force
as
g . .
Jim is attracted to Betty. Jim’s mass is 90 kg and Betty’s mass is 57 kg. If Jim is
Eg 1 :
standing 10 meters away from Betty, what is the gravitational force between them?
m .
mz
F =
Go vz
F
-x10
% 90.
F =
3 .
44x10. N attraction
Two spheres of equal mass have a force of gravity of 7 x 10-9 N exerted on each
Eg 2 : other. If the distance between them is 7 m, find the mass of each sphere.
.
m mz
F =
G. va
-
9 6 .
7 x10 -" -
M2
7x10 =
49
49 .
7x10-9
m2
=
6 7 x10"
.
m
=
71 55 .
kg
