Since the mass of the Moon is less than that of the Earth, what can be said about the weight of an object on the Moon compared to its weight on Earth?

Correct option is C

The correct answer is (C) Less on the Moon

Explanation:
• To fully comprehend this concept, it is essential to understand the scientific distinction between mass and weight. Mass is an intrinsic property of an object representing the actual amount of matter contained within it, and it remains completely constant regardless of the object's location in the universe.
• Weight (W), on the other hand, is a force. It is defined as the gravitational force exerted on an object by a celestial body, mathematically expressed by Newton's second law as W = mg, where 'm' is the mass and 'g' is the local acceleration due to gravity.
• According to Newton's Law of Universal Gravitation, the acceleration due to gravity on any celestial body depends directly on its total mass and inversely on the square of its radius ($$g = GM/R^2$$​). Because the Moon has a significantly smaller mass and smaller dimensions than the Earth, its gravitational pull is much weaker.
• Specifically, the acceleration due to gravity on the surface of the Moon is only about one-sixth (approx. $16.6\%$) of that found on Earth ($$g_{\text{moon}} \approx 1.62\text{ m/s}^2 vs g_{\text{earth}} \approx 9.8\text{ m/s}^2$$​). Consequently, any given object will weigh substantially less on the Moon than it does on Earth.

Information Booster:
• If an astronaut has a mass of $$60\text{ kg}$$​, their mass will remain exactly $$60\text{ kg}$$​ on both the Earth and the Moon. However, their weight on Earth will be around $$60 \times 9.8 = 588\text{ Newtons}$$​, whereas their weight on the Moon will drop sharply to approximately$$60 \times 1.62 = 97.2\text{ Newtons}$$​.
• This reduction in gravitational force explains why Apollo astronauts could effortlessly jump high and leap across the lunar surface despite wearing heavy, cumbersome life-support spacesuits.

Additional Knowledge:
• Zero on the Moon (Option A): True weightlessness or zero weight is experienced only in deep interstellar space far away from any massive bodies, or during sustained free-fall states in orbit, but not on the Moon's surface since the Moon still possesses a measurable gravitational field.
• Greater on the Moon (Option B): An object would weigh more only on planets that are substantially more massive than Earth, such as Jupiter, where the surface gravity is much stronger.
• Same on both (Option D): This statement incorrectly confuses weight with mass. Mass remains the same on both celestial bodies, but weight changes in direct proportion to local gravity.