Question:
The mass of moon is 1% o f mass of earth. The ratio of gravitational pull of earth on moon and that of moon on earth will be
The mass of moon is 1% o f mass of earth. The ratio of gravitational pull of earth on moon and that of moon on earth will be
Updated On: Apr 23, 2023
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The Correct Option is A
Solution and Explanation
The ratio will be usually (1:1) since, the moon and earth attract one another with equal gravitational force
$F=\frac{GM_eM_m}{r^2}$
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Concepts Used:
Newtons Law of Gravitation
Gravitational Force
Gravitational force is a central force that depends only on the position of the test mass from the source mass and always acts along the line joining the centers of the two masses.
Newton’s Law of Gravitation:
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- Directly proportional to the product of their masses i.e. F ∝ (M1M2) . . . . (1)
- Inversely proportional to the square of the distance between their center i.e. (F ∝ 1/r2) . . . . (2)
By combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2 [f(r)is a variable, Non-contact, and conservative force]