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Byju's Answer
Standard IX
Physics
Universal Law of Gravitation
Derive g = GM...
Question
Derive g=GM/R
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Solution
F= -GMm/r^2
So if m = 1kg, F is the force n 1kg, ie. it is g
g = -GM x 1 / r^2
g = -GM/r^2 where M is the mass of the planet and R is it's radius
(this gives g near the surface of the planet)
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Similar questions
Q.
Find
∫
x
=
R
x
=
∞
G
M
m
x
2
d
x
(
G
,
M
and
m
are constants)
Q.
Let f(x) and g(x)
be two functions having finite non-zero third order derivatives
f
′
"
(
x
)
and
g
′
"
(
x
)
or all
x
ϵ
R
. If
f
(
x
)
g
(
x
)
=
1
f
o
r
a
l
l
x
ϵ
R
, then
f
′
"
f
′
−
g
′
"
g
′
is equal to:
Q.
Find
∫
x
=
2
R
x
=
∞
G
M
m
x
2
d
x
(
G
,
M
and
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are constants)
Q.
Why?
G
=
g
m
1
m
2
r
2
Q.
DERIVE
V = U+AT
V^2 -U^2= 2AS
g =GMM/R^2
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