More or less. There are slight variations, due to differences in gravity, and the centrifugal pseudoforce.
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Because the force of gravity exerting on objects on the moon is much lower than that of the earth.
That is because Earth has more gravity. Weight = mass x gravity.
No. In a vacuum, the weight of an object will be the product their mass, times the gravity. In other words, objects with different masses will have different weights.
You weigh less when the moon is overhead because the gravitational pull from the moon resists Earth's gravitational pull slightly. But remember, your mass has not changed. Mass is the amount of matter within an object, weight is the force action upon that mass. The two are not the same. +++ The weight change would be extremely small though.
it would weigh the same because the mortor comes from earth