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The distance between Earth and its moon is 3.84 × 108 meters. Earth’s mass is m = 5.9742 × 1024 kilograms and the mass of the moon is 7.36 × 1022 kilograms. What is the force between Earth and the moon?

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Answer:

F = 1.99×10^20N

Explanation:

The force experienced by the object is known as the gravitational force.

Law of gravitation states that the force that exists between two masses M and m is directly proportional to the product of the masses and inversely proportional to the square of the distance between the masses. This is expressed as:

F = GMm/r² where G is the gravitational constant

Given Mass of the earth

M = 5.9742 × 10^24kg

Mass of the moon

m = 7.36 × 10^22 kg

Distance between the masses r = 3.84 × 10^8m

G = 6.67×10^11m³/kgs²

F = 6.67×10^-11 × 5.9742 × 10^24 × 7.36 × 10^22/(3.84 × 10^8)²

F = 293.28×10^35/1.475×10^17

F = 198.83×10^18N

F = 1.99×10^20N

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