Question:

If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will:

Updated On: Aug 15, 2022
  • continue to move in its orbit with same velocity
  • 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 C

Solution and Explanation

When gravitational force becomes zero, then centripetal force on satellite becomes zero and therefore, the satellite will become stationary in its 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].