Question

1. how would earths position in the solar system change if the sun had no gravity?

Explanation:

The Sun's gravity currently provides the centripetal force that keeps Earth in its stable, nearly circular orbital path around the Sun. Without this gravitational pull, Earth would no longer be constrained to its orbit. Newton's first law of motion states that an object in motion will stay in motion with a constant velocity (same speed and direction) unless acted upon by an unbalanced force. Earth would follow a straight-line path tangent to its original orbital path, moving away into interstellar space, as no force would curve its trajectory toward the Sun.

Answer:

Earth would immediately stop orbiting the Sun. It would move in a straight, tangent line away from its original orbital path, traveling into interstellar space indefinitely (unless acted on by another celestial object's gravity).