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Gravitation question

2002 · Shift 0 · Q183
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  5. /2002 · Shift 0 · Q183

Gravitation question

2002 · Shift 0 · Q183

JEE MainPhysicsGravitationMCQ+4 / −1
If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then the satellite will
  1. A
    continue to move in its orbit with same velocity
  2. B
    move tangentially to the original orbit with the same velocity
  3. C
    become stationary in its orbit
  4. D
    move towards the earth
View written solutionFree

Correct answer: B

  1. Role of gravity in satellite motion

A satellite revolving around Earth moves in a circular orbit because the gravitational force provides the required centripetal force.

For circular motion, Fc=mv2rF_c = \frac{mv^2}{r}Fc​=rmv2​

and for a satellite, Fg=GMmr2F_g = \frac{GMm}{r^2}Fg​=r2GMm​

Here, gravity continuously pulls the satellite toward Earth, changing only the direction of its velocity.

  1. What happens if gravity suddenly becomes zero?

If the gravitational force suddenly vanishes, F=0F = 0F=0

So there is no centripetal force acting on the satellite.

By Newton’s first law, if no force acts on a body, it continues to move with the same velocity in a straight line.

  1. Direction of motion at that instant

At every point in a circular orbit, the instantaneous velocity of the satellite is along the tangent to the orbit.

Therefore, when gravity disappears, the satellite will continue moving:

  • in a straight line
  • along the tangent to the orbit
  • with the same speed/velocity magnitude it had at that instant
  1. Checking options
  • A: "continue to move in its orbit with same velocity" → Incorrect, because without centripetal force it cannot remain in orbit.
  • B: "move tangentially to the original orbit with the same velocity" → Correct.
  • C: "become stationary in its orbit" → Incorrect, no reason to stop.
  • D: "move towards the earth" → Incorrect, gravity is zero, so no pull toward Earth.
  1. Final answer

The satellite will move tangentially to its orbit with the same velocity.

B\boxed{\text{B}}B​

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