Example 10.1 The mass of the earth is 6 1024 kg and that of the moon is 7.4 1022 kg. If the distance between the earth and the moon is 3.84x105 km, calculate the force exerted by the earth on the moon. G = 6.7 x 1011 Nm’ in detail
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Answer:
Given that,
Mass of the Earth m
1
=6×10
24
kg
Mass of the Moon m
2
=7.4×10
22
kg
Distance between the Earth and the Moon d=3.84×10
5
km=3.84×10
8
m
Gravitational Constant G=6.7×10
−11
Nm
2
/kg
2
Now, by using Newton’s law of gravitation
F=
r
2
Gm
1
m
2
F=
(3.84×10
8
)
2
6.7×10
−11
×6×10
24
×7.4×10
22
F=
14.8225×10
16
297.48×10
35
F=20.069×10
19
F=20.1×10
19
N
Hence, the gravitational force of attraction is 20.1×10
19
N
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