Find the force exerted by the earth on the moon, given that Me = 6 × 10²⁴ kg and Mm = 7.4 × 10²² kg. Also separation between the earth and moon is 4 × 10⁸ m.
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Force exerted by Earth on Moon = 18.6 * 10^19 N
Explanation:
Mass of the Earth = m1 = 7.4 * 10^22 kg
Mass of moon = m2 = 6 * 10^24 kg
Distance of the moon = r = 4 * 10^8 m
Gravitational constant = 6.7 * 10^-11 m3⋅kg−1⋅s−2.
Gravitation force exerted by the earth on the moon can be calculated using the Newton's law of gravitation.
F = G * m1 * m2 / r^2
= 6.7 * 10^-11 * 7.4 * 10^22 * 6 * 10^24 / (4 * 10^8)^2
= (6.7 * 7.4 * 6 / 16) * 10^19
= 18.6 * 10^19 N
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