The mass of the earth is 6 x 1024 kg and that of the moon is 7.4 x 1022 kg. If the distance
between the earth and the moon be 3.84 x 105 km, calculate the force exerted by the
earth on the moon. (G = 6.7 x 10-11 Nm² kg ?)
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Answer:
Given that,
Mass of the Earth m1=6×1024Kg
Mass of the Moon m2=7.4×1022kg
Distance between the Earth and the Moon d=3.84×105km=3.84×108m
Gravitational Constant G=6.7×10−11Nm2/kg2
Now, by using Newton’s law of gravitation
F=r2Gm1m2
F=(3.84×108)26.7×10−11×6×1024×7.4×1022
F=14.8225×1016297.48×1035
F=20.069×1019
F=20.1×1019N
Hence, the gravitational force of attraction is 20.1×1019N
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