- Acontinue to move in its orbit with same velocity
- Bmove tangentially to the original orbit with the same velocity
- Cbecome stationary in its orbit
- Dmove towards the earth
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Correct answer: B
- 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,
and for a satellite,
Here, gravity continuously pulls the satellite toward Earth, changing only the direction of its velocity.
- What happens if gravity suddenly becomes zero?
If the gravitational force suddenly vanishes,
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.
- 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
- 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.
- Final answer
The satellite will move tangentially to its orbit with the same velocity.
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