Gravitational Tension forces on a moon and a planet?

In summary, to calculate the tensional force inside Jupiter's moon Io, we can use the formula Fg = GMm/r^2 where G is the gravitational constant, M is the mass of Jupiter, m is the mass of Io, and r is the distance between the two objects. By using this formula and considering the forces acting on a rock at the surface of Io, we can find the tensional force inside the moon.
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Homework Statement


Jupiter's moon Io is has an orbital radius of 421,000 km, around the planet Jupiter (MJ = 1.9 x 1027 kg). Io's radius is 1821 km and its mass is 8.93 x 1022 kg. Calculate the tensional force inside Io, as a result of Jupiter's gravitation.

Homework Equations


Fg= GMm / r2

The Attempt at a Solution


I tried using Fg1 - Fg2 to get the answer, I don't know if that's even remotely close to the right answer.
 
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FAQ: Gravitational Tension forces on a moon and a planet?

1. How does a planet's mass affect its gravitational tension force on a moon?

The greater a planet's mass, the stronger its gravitational pull on a moon. This leads to a larger gravitational tension force between the two objects.

2. Is there a difference in gravitational tension force between a moon and a planet depending on their distance?

Yes, the gravitational tension force between a moon and a planet is inversely proportional to the square of their distance. This means that the further apart the objects are, the weaker the gravitational tension force between them.

3. Can gravitational tension forces cause changes in the orbit of a moon around a planet?

Yes, gravitational tension forces can cause changes in the orbit of a moon around a planet. If the gravitational tension force is too strong, it can pull the moon closer to the planet and change its orbit. This is known as orbital decay.

4. How does the size of a moon affect the gravitational tension force between it and a planet?

The size of a moon does not affect the gravitational tension force between it and a planet. The force is solely determined by the masses of the two objects and the distance between them.

5. Can gravitational tension forces between a moon and a planet create tidal effects?

Yes, gravitational tension forces between a moon and a planet can create tidal effects. These effects are caused by the difference in gravitational pull on different parts of the moon, leading to a stretching and squeezing of the moon's surface. This can also cause changes in the moon's rotation.

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