Final answer:
Your weight on the Moon would be approximately 1/6 of your weight on Earth because the gravitational acceleration on the Moon is about 1/6 that of Earth's gravity.
Step-by-step explanation:
This is because the gravitational acceleration on the Moon is about 1/6 of the gravitational acceleration on Earth. So, the force of gravity exerted by the Moon on an object is 1/6 of the force of gravity exerted by Earth on the same object. For example, if your weight on Earth is 60 kg, your weight on the Moon would be approximately 10 kg (1/6 of 60 kg). Newton's law of universal gravitation states that the force between two masses is directly proportional to their product and inversely proportional to the square of the distance between their centers. The Moon's mass is much smaller than Earth's, resulting in weaker gravitational pull. Earth's gravitational acceleration is approximately 9.8 m/s², while the Moon's is about 1.625 m/s², roughly 1/6th of Earth's. Consequently, an object's weight on the Moon is only 1/6th of its weight on Earth.