Objects of different masses falling on the Moon accelerate at the same rate due to the principle of equivalence. This principle, a fundamental concept in Einstein's theory of general relativity, states that the effects of gravity and acceleration are indistinguishable.

Here's why this applies to the Moon:

* Gravity is a constant force: On the Moon, the force of gravity acting on an object is directly proportional to its mass. This means a heavier object experiences a stronger gravitational force than a lighter object.

* Inertia resists acceleration: However, an object's inertia, its resistance to changes in motion, is also proportional to its mass. So, while a heavier object experiences a stronger gravitational pull, it also requires a larger force to accelerate.

* The balance cancels out: The increased gravitational force and the increased inertia perfectly cancel each other out. This results in objects of different masses experiencing the same acceleration due to gravity on the Moon.

In simpler terms: Imagine two objects, one heavy and one light. The heavy object has more "pull" from the Moon's gravity, but it also takes more "push" to get it moving. These two effects balance each other out, causing both objects to fall at the same rate.

Note: This principle holds true in a vacuum, where air resistance doesn't factor in. On Earth, air resistance can affect the rate at which objects fall, making lighter objects appear to fall slower. However, in the Moon's near-vacuum environment, the principle of equivalence applies more directly.