Answer :
The magnitude of the gravitational attraction is [tex]4\cdot 10^{-4} N[/tex].
Explanation:
The magnitude of the gravitational force between two objects is given by
[tex]F=G\frac{m_1 m_2}{r^2}[/tex]
where
[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between them
In this problem, we have
[tex]m_1 = 60 kg[/tex] is my mass
The mass of the mountain is 100 million tons, and keeping in mind that
1 ton = 1000 kg
The mass of the mountain is
[tex]m_2 = 100 \cdot 10^6 tons =100 \cdot 10^6 tons \cdot (1000 kg/ton)=100\cdot 10^9 kg[/tex]
The distance between me and the mountain is
r = 1 km = 1000 m
Therefore, the gravitational attraction is
[tex]F=\frac{(6.67\cdot 10^{-11})(100\cdot 10^9)(60)}{(1000)^2}=4\cdot 10^{-4} N[/tex]
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