The distance between Earth and its moon is [tex]3.84 \times 10^8[/tex] meters. Earth's mass is [tex]m = 5.9742 \times 10^{24}[/tex] kilograms, and the mass of the moon is [tex]7.36 \times 10^{22}[/tex] kilograms.
What is the force between Earth and the moon?
Answer (3)
The force between Earth and the moon can be calculated using Newton's law of universal gravitation. The formula is F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 is the mass of Earth, m2 is the mass of the moon, and r is the distance between Earth and the moon. ;
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
The gravitational force between the Earth and the Moon is calculated using Newton's Law of Universal Gravitation. The result of the calculation shows that the force is approximately 1.99 x 10^20 Newtons. This illustrates how strong the gravitational attraction is between these two celestial bodies despite their large distance apart.
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