The weight of an apple is the force of gravity with which the Earth attracts it and depends on the masses of the Earth and the apple. But you must understand that the mass of the apple is a property which depends only on the apple.
On the moon the apple weighs less, but its mass is the same as on the Earth.

The gravitational force of attraction is responsible not only for the falling of bodies, but also for the trajectory of any heavenly body around another. And also, or course, for the movement of artificial satellites and of the moon around the Earth. Depending on the speed with which the satellite moves parallel to the ground, the trajectory can be very different. Observe the demonstration.

The brown mass remains still and the force which it exerts on the blue mass (brown arrow) conditions the movement.

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