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Answer:
The gravitational force between the Earth and the moon, F=2.01\times 10^{20}\ NF=2.01×10
20
N
Explanation:
Mass of the Earth, m_e=6\times 10^{24}\ kgm
e
=6×10
24
kg
Mass of the Moon, m_m=7.4\times 10^{22}\ kgm
m
=7.4×10
22
kg
The distance between the Earth and the moon, d=3.84\times 10^5\ km=3.84\times 10^8\ md=3.84×10
5
km=3.84×10
8
m
Let F is the force exerted by the earth on the moon. The formula of the force is given by :
F=G\dfrac{m_em_m}{d^2}F=G
d
2
m
e
m
m
F=6.7\times 10^{-11}\times \dfrac{6\times 10^{24}\times 7.4\times 10^{22}}{(3.84\times 10^8)^2}F=6.7×10
−11
×
(3.84×10
8
)
2
6×10
24
×7.4×10
22
F=2.01\times 10^{20}\ NF=2.01×10
20
N
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