What is the force of gravity between the Earth and the moon, if the mass of the Earth is 6 * 10 ^ 24 kg, the mass of the Moon

What is the force of gravity between the Earth and the moon, if the mass of the Earth is 6 * 10 ^ 24 kg, the mass of the Moon is 7.4 * 10 ^ 22 kg, the average distance from the Moon to the Earth is 3.8 * 10 ^ 8 m.? Neglect the radii of the Moon and Earth.

Given:
mz = 6 * 10 ^ 24
ml = 7.4 * 10 ^ 22
r = 3.8 * 10 ^ 8
F =?
Decision:
F = G * mz * ml / r ^ 2 // The law of universal gravitation
G = 6.67 * 10 ^ (- 11) N * m ^ 2 / kg ^ 2 – the constant of gravity
F = 6.67 * 10 ^ (- 11) * 6 * 10 ^ 24 * 7.4 * 10 ^ 22 / (3.8 * 10 ^ 8) ^ 2 = 20.5 * 10 ^ (- 11 + 24 + 22-8 * 2) = 20.5 * 10 ^ 19 N
Answer: 2 * 10 ^ 20 N



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