Final answer:
The gravitational force on an apple is significantly weaker when it is on the moon due to the moon's smaller mass and lower acceleration due to gravity compared to Earth's. As a result, the apple's weight would be about one-sixth on the moon what it would be on Earth.
Step-by-step explanation:
The relative strength of the gravitational force on an apple when it is on the moon compared to when it is on Earth is weaker. This can be understood through Newton's law of universal gravitation, which states that the gravitational force between two masses is direct;y proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Since the moon has less mass than the Earth, the gravitational force it exerts on the apple is also less.
Considering the acceleration due to gravity values, on Earth, it is approximately 9.80 m/s². In contrast, on the Moon, it is only about 1.625 m/s². Therefore, the gravitational force on the apple on the Moon is approximately one-sixth of that on Earth. The correct answer is c; The gravitational force on the apple due to the moon is smaller than the gravitational force on the apple due to the earth.