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Question
Physics
A satellite of mass m is in a circular orbit of radius 2RE about the earth. The energy required to transfer it to a circular orbit of radius 4RE is (where ME and RE is the mass and radius of the earth respectively)
Q. A satellite of mass
m
is in a circular orbit of radius
2
R
E
about the earth. The energy required to transfer it to a circular orbit of radius
4
R
E
is (where
M
E
and
R
E
is the mass and radius of the earth respectively)
1636
183
Gravitation
Report Error
A
2
R
E
G
M
E
m
30%
B
4
R
E
G
M
E
m
20%
C
8
R
E
G
M
E
m
30%
D
16
R
E
G
M
E
m
20%
Solution:
Initial total energy of the satellite is
E
i
=
−
4
R
E
G
M
E
m
Final total energy of the satellite is
E
f
=
−
8
R
E
G
M
E
m
The change in the total energy is
Δ
E
=
E
f
−
E
i
Δ
E
=
−
8
R
E
G
M
E
m
−
(
−
4
R
E
G
M
E
m
)
=
−
8
R
E
G
M
E
m
+
4
R
E
G
M
E
m
=
8
R
E
G
M
E
m
Thus, the energy required to transfer the satellite to
the desired orbit
=
8
R
E
G
M
E
m