Question

The mass of the earth is 6 × 1024 kg and that of the moon is 7.4 1022 kg. If the distance between the earth and the moon is 3.84105 km, calculate the force exerted by the earth on the moon. G = 6.7 10–11 N m2 kg-2. Solution: The mass of the earth, M = 6 1024 kg The mass of the moon, m = 7.4 1022 kg The distance between the earth and the moon, d = 3.84 105 km = 3.84 105 1000 m = 3.84 108 m G = 6.7 10–11 N m2 kg–2.

solve this question with full explanation ​

Answer 1

Answer:

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

Answer 2

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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