Question:
If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will :
If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will :
Updated On: Jul 5, 2022
- continue to move in its orbit with same veiocity
- move tangentially to the original orbit with the same velocity
- become stationary in its orbit
- move towards the earth
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The Correct Option is B
Solution and Explanation
When gravitational force becomes zero, then centripetal force required can not be provided. So the satellite will move with the velocity as it has at the instant when gravitational force becomes zero, i.e., it moves tangentially to the original orbit
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Concepts Used:
Gravitation
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
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,
- F ∝ (M1M2) . . . . (1)
- (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].