The mass of the earth is …

search-icon-header Search for questions & chapters search-icon-image Class 11 >>Physics >>Gravitation >>Newton's Law of Gravitation >>The mass of the earth is 6 × 10^24 kg an Question Bookmark The mass of the earth is 6×10 24 kg and that of the moon is 7.4×10 22 kg. If the distance between the earth and the moon is 3.84×10 5 km, calculate the force exerted by the earth on the moon. G=6.7×10 −11 N m 2 kg −2 Medium Updated on : 2022-09-05 Solution verified Verified by Toppr Given that, Mass of the Earth m 1 =6×10 24 kg Mass of the Moon m 2 =7.4×10 22 kg Distance between the Earth and the Moon d=3.84×10 5 km=3.84×10 8 m Gravitational Constant G=6.7×10 −11 Nm 2 /kg 2 Now, by using Newton’s law of gravitation F= r 2 Gm 1 m 2 F= (3.84×10 8 ) 2 6.7×10 −11 ×6×10 24 ×7.4×10 22 F= 14.8225×10 16 297.48×10 35 F=20.069×10 19 F=20.1×10 19 N Hence, the gravitational force of attraction is 20.1×10 19 N