Which of these can happen to objects in the solar system that do not have the momentum to maintain a stable orbit around the sun? Select two correct answers

They can fall into circular orbits

They can swing around the sun and be ejected outward into space

They can spiral into the sun

The can follow erratic orbits that take on different shapes

They can swing around the sun and be ejected outward into space

They can spiral into the sun

Which statements about geocentric models and heliocentric models are true? Select 2 correct answers

They both are models of the solar system

They both show the position of earth relative to the sun

They both show earth at the center of the solar system

They both show the sun at the center of the solar system

They both are models of the solar system

They both show earth at the center of the solar system

The correct answers are:

1. They can swing around the sun and be ejected outward into space
2. They can spiral into the sun

To determine which of these options can happen to objects in the solar system that do not have the momentum to maintain a stable orbit around the sun, we need to consider the laws of motion and gravity.

1. Circular orbits: Objects with insufficient momentum cannot maintain a circular orbit around the sun because the gravitational force acting on them would eventually pull them toward the sun. Therefore, this option is not correct.

2. Swinging around the sun and being ejected outward into space: This is a possible outcome for objects without enough momentum to maintain a stable orbit. If an object approaches the sun but does not have enough momentum to fall into a stable orbit, it can swing around the sun and be flung outward into space by the gravitational interaction. Therefore, this option is correct.

3. Spiraling into the sun: Similarly to the first option, if an object does not possess the necessary momentum to maintain a stable orbit, it will ultimately be pulled toward the sun by gravity. Over time, it would spiral closer to the sun and eventually collide with it. Therefore, this option is correct.

4. Erratic orbits with different shapes: While it is possible for objects without enough momentum to have orbits that deviate from a perfect circle, the term "erratic" implies unpredictability and randomness, which is not necessarily the case for the motion of objects in the solar system. Therefore, this option is not correct.

Thus, the correct answers are:

- They can swing around the sun and be ejected outward into space
- They can spiral into the sun