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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 kg .Calculate the force exerted by the earth on the moon |
Answer» 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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