The ratio of acceleration due to gravity at the surface of the
Earth and that of the moon is 6. Also, the mass of the moon is 8*1022
kg. Calculate the radius of the moon.
Given Data: - (Choose as per your requirement)
The gravitational constant value (G) = 6 * 10-22 m2
kg-2
,
g = 10 m/s2
,
Radius of earth 6400 km,
Mass of earth = 6.025 * 1024 kg
Answers
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11th
Physics
Gravitation
Newton's Law of Gravitation
The mass of the earth is 6 ...
PHYSICS
The mass of the earth is 6×10
22
kg and that of the moon is 7.4×10
22
kg. If the distance between the earth and the moon is 3.84×10
5
km, calculate the force exerted by the earth on the moon. G=6.7×10
−11
N m
2
kg
−2
MEDIUM
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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