The masses of the earth and moon are 6 x 1024 kg and 7.4x1022 kg, respectively. The distance between them is 3.84 x 105 km. Calculate the gravitational force of attraction between the two?
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(m₁) = 6 × 10²⁴ kg. (m₂) = 7.4 × 10²² kg. (d) = 3.84 × 10⁵ km
Gravitational Constant(G) = 6.7 × 10⁻¹¹ si
F = G × m₁× m₂ × /d².
(m₁) = 6 × 10²⁴ kg.(m₂) = 7.4 × 10²² kg.Distance between the Earth and the Moon(d) = 3.84 × 10⁵ kmGravitational Constant(G) = 6.7 × 10⁻¹¹ si F = G × m₁× m₂ × /d².∴ F = (6.7 × 10⁻¹¹ × 6 × 10²⁴ × 7.4 × 10²²) ÷(384000000²)
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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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