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AIEEE 2012 Solved Paper
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© examsnet.com
Question : 36
Total: 89
The mass of a spaceship is
1000
‌
kg
. It is to be launched from the earth's surface out into free space. The value of
g
and
R
(radius of earth) are
10
m
∕
s
2
and
6400
‌
km
respectively. The required energy for this work will be:
6.4
×
10
11
Joules
6.4
×
10
8
Joules
6.4
×
10
9
Joules
6.4
×
10
10
Joules
Validate
Solution:
Potential energy at earth surface
=
−
‌
G
M
m
R
and at free space potential energy
=
0
Work done for this
=
0
−
(
−
‌
G
M
m
R
)
=
‌
G
M
m
R
So the required energy for this work is
‌
=
‌
G
M
m
R
‌
=
‌
g
R
2
m
R
[
‌
as
‌
g
=
‌
G
M
R
2
]
‌
=
m
g
R
‌
=
1000
×
10
×
6400
×
10
3
‌
=
6.4
×
10
10
‌
Joules
‌
© examsnet.com
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