Final answer:
The sun's much larger mass compared to Earth implies that its gravitational force is much stronger than Earth's, thereby influencing planetary orbits and enabling nuclear fusion at its core.
Step-by-step explanation:
Given the fact that the sun has about 300,000 times more mass than Earth, we can infer that option B is correct: The sun's gravitational force is much stronger than Earth's gravitational force. This is a straightforward conclusion based on Newton's law of universal gravitation, which states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Since the sun's mass is vastly greater than Earth's mass, the gravitational force it exerts is correspondingly greater.
Furthermore, the strength of the gravitational force exerted by the sun has significant implications. It is responsible for keeping Earth and the other planets in their orbits, and it influences the structure and evolution of the entire solar system. Additionally, the massive gravitational force at the sun's core is required to maintain the high temperatures and pressures necessary for nuclear fusion to occur, which produces the energy that the sun radiates into space.