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Calculate the gravitational force that keepsthe Moon in orbit, given that its mass is 7.35 x 1022 kg,the Earth's mass is 6.0 x 1024 kg, and the distancebetween their centers is 3.85 x 108 m.

User Destaq
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1 Answer

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16 votes

We are asked to determine the gravitational force between the moon and the earth, to do that we will use the following formula:


F=G(m_1m_2)/(r^2)

Where "G" is the gravitational constant and is equivalent to:


G=6.67*10^(-11)\frac{Nm^2}{\operatorname{kg}^2}

"m" is the mass and "r" is the distance between the centers. Replacing the values we get:


F=(6.67*10^(-11)\frac{Nm^2}{\operatorname{kg}^2})(\frac{(7.35*10^(22)\operatorname{kg})(6*10^(24)kg)}{(3.85*10^8m)^2})

Solving the operations we get:


F=1.98*10^(20)N

User DonkeyKong
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