Answer:
Force = ( universal constant of gravitation x mass of earth x mass of moon)/ (distance between earth and moon squared), or F = GmEarthmMoon/r 2.
Explanation:
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Standard IX
Physics
Question
The mass of the earth is
6
×
10
24
k
g
and that of the moon is
7.4
×
10
22
k
g
. If the distance between the earth and the moon is
3.84
×
10
5
k
m
, calculate the force exerted by the earth on the moon.
G
=
6.7
×
10
−
11
N
m
2
k
g
−
2
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Solution
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Given that,
Mass of the Earth
m
1
=
6
×
10
24
k
g
Mass of the Moon
m
2
=
7.4
×
10
22
k
g
Distance between the Earth and the Moon
d
=
3.84
×
10
5
k
m
=
3.84
×
10
8
m
Gravitational Constant
G
=
6.7
×
10
−
11
N
m
2
/
k
g
2
Now, by using Newton’s law of gravitation
F
=
G
m
1
m
2
r
2
F
=
6.7
×
10
−
11
×
6
×
10
24
×
7.4
×
10
22
(
3.84
×
10
8
)
2
F
=
297.48
×
10
35
14.7456
×
10
16
F
=
20.174
×
10
19
F
=
20.2
×
10
19
N
Hence, the gravitational force of attractionis
20.2
×
10
19
N
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