Example 10.1 The mass of the earth is
6 x 1024 kg and that of the moon is
7.4 x 1022 kg. If the distance between the
earth and the moon is 3.84X105 km,
calculate the force exerted by the earth on
the moon. (Take G= 6.7 x 10-N m2 kg-
Answers
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7
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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20
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