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A certain planet X has a moon 1/10 its mass with an orbit of average radius R and velocity v. If the moon's mass were doubled in the same orbit, its velocity would need to be ?​



Answer :

The velocity of the moon would remain the same (v).

In a two-body orbital system, the orbital velocity depends on:

* The mass of the central body (the planet X): This is the dominant factor.

* The distance between the centers of the two bodies (the average radius R): The greater the distance, the slower the velocity.

The mass of the orbiting body (the moon) does not affect its orbital velocity. Doubling the moon's mass wouldn't change its velocity, as long as the radius of the orbit remains the same.

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