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