The mass of the earth is 6×1024kg and that of the moon is 7.4×1022kg if the distance between the earth and the moon is 3.84×105km calculate the force exerted by the earth on the moon. G=6•7×10-11 N m2 kg-2
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Answer:
20.2 × 10¹⁹ N
Explanation:
Given :
Mass of earth = 6 × 10²⁴ kg
Mass of moon = 7.4 × 10²² kg
Distance between them = 3.84 × 10⁵ km = 3.84 × 10⁸ m
We have value of G = 6.7 × 10⁻¹¹ N m² kg⁻²
We have to find force :
We have :
F = G m₁ m₂ / r²
F = ( 6.7 × 10⁻¹¹ ) ( 6 × 10²⁴ ) ( 7.4 × 10²² ) / ( 3.84 × 10⁸ )² N
F = 20.2 × 10¹⁹ N
Hence force exerted by the earth on the moon is 20.2 × 10¹⁹ N.
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