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.NCERT Class IXSciences - Main Course BookChapter 10. Gravitation
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F = GMm / r^2
= (6.7×10^-11 × 6×10^24 × 7.4×10^22) / (3.84105×10^3)^2
= 2.0 × 10^30 N
Force exerted by earth on moon is 2.0 × 10^30 N
= (6.7×10^-11 × 6×10^24 × 7.4×10^22) / (3.84105×10^3)^2
= 2.0 × 10^30 N
Force exerted by earth on moon is 2.0 × 10^30 N
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Answer:
2 × 10³⁰ N
Explanation:
Given :
Mass of earth = 6 × 10²⁴ kg
Mass of moon = 7.4 × 10²² kg
Distance between them = 3.84105 km = 3.84105 × 10³ 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 ) / ( 3.84105 × 10³ )² N
F = 2 × 10³⁰ N
Hence force exerted by the earth on the moon is 2 × 10³⁰ N.
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