Section 12 2 .
now we consider object at Earths surface
we know that Fg =
mg where
, g 9 81
=
.
m/s
2
·
in free fall :
Fnet Fg : =
EmMe
?
RE
Ug = GmME
RE2
thus , g :
GME
RE2
if G , ME , RE , 9 81 m/s
you plug in you get g = .
technically ,
we have
= GM -
R2
S
·
with direction directly toward location of M
we call the
gravitational field caused by mass M
this separates the source of fg massM& the object experiencing Fg mass m)
EX . same configuration as before
Find g at location of m
,
then find Eg on m
,
Emma
mi Fiz m2
M, 41 g =
⑳ ⑧
McCullough
=
Gm
667x10
Mz Zing
Fi 9)
= :
is
Mz Ging =
32
My 5kg =
d 3m 1 48x10"ms2
=
⑧ ⑨ 92 = .
my M3
g2 1 48x10 "m/sa
-
= + .
g= 2
+
g3 +
g4
- 05x10" * 5 28x10 "y]m/s" (6 67410)
93
Gms
3 o
:
-
= .
=
. .
=
(32)"
Now ,
-
Fg on m
,
:
Fg GyC0s (-45)
"
g 93 m/s"
:
,l
= m
, ,
x =
= 1 57 x10
.
(4kg) (3 05 x10 "Y-5 28x10"y) m/s : 93 y gySin( 45) -1 57 x10-" m/s
-
= =
:
-
. .
.
,
-z (1 57 x 18" * 1 57x10-"G)
= .
-
.
mys
:
now we consider object at Earths surface
we know that Fg =
mg where
, g 9 81
=
.
m/s
2
·
in free fall :
Fnet Fg : =
EmMe
?
RE
Ug = GmME
RE2
thus , g :
GME
RE2
if G , ME , RE , 9 81 m/s
you plug in you get g = .
technically ,
we have
= GM -
R2
S
·
with direction directly toward location of M
we call the
gravitational field caused by mass M
this separates the source of fg massM& the object experiencing Fg mass m)
EX . same configuration as before
Find g at location of m
,
then find Eg on m
,
Emma
mi Fiz m2
M, 41 g =
⑳ ⑧
McCullough
=
Gm
667x10
Mz Zing
Fi 9)
= :
is
Mz Ging =
32
My 5kg =
d 3m 1 48x10"ms2
=
⑧ ⑨ 92 = .
my M3
g2 1 48x10 "m/sa
-
= + .
g= 2
+
g3 +
g4
- 05x10" * 5 28x10 "y]m/s" (6 67410)
93
Gms
3 o
:
-
= .
=
. .
=
(32)"
Now ,
-
Fg on m
,
:
Fg GyC0s (-45)
"
g 93 m/s"
:
,l
= m
, ,
x =
= 1 57 x10
.
(4kg) (3 05 x10 "Y-5 28x10"y) m/s : 93 y gySin( 45) -1 57 x10-" m/s
-
= =
:
-
. .
.
,
-z (1 57 x 18" * 1 57x10-"G)
= .
-
.
mys
:
