The mass of the earth is 6 x 1024 kg. The distance between the earth and the Sun is 1.5x 1011 m. If the gravitational force between the two is 3.5 x 1022 N, what is the mass of the Sun?
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Answer:
Explanation:
Given that,
Earth of mass M=6×10
24
kg
Gravitational force F=3.5×10
2
N
Distance between earth and sun r=1.5×10
11
m
Mass of the sun = m
Now,
The gravitational force is
F=
r
2
GMm
3.5×10
2
=
(1.5×10
11
)
2
6.67×10
−11
×6×10
24
×m
m=
6.67×10
−11
×6×10
24
3.5×10
2
×1.5×10
11
×1.5×10
11
m=0.1967×10
11
kg
m=1.97×10
10
kg
Hence, the mass of the sun is 1.97×10
10
Kg
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