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Mass is conserved which means that a body will have the same mass wherever it goes.

But at the centre of a masive sphere the body has no gravity acting on it so its weight is zero.

At an intermediated radius the force on it is obviously less than at the surface, and Isac Newton proved that a body at a given distance inside a sphere feels a gravitational force from a sub-sphere of radius equal the distance of the body from the centre. In other words the body feels no gravity from the shell outside its own radius.

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Q: What will be the mass of a body at the centre of the earth as compared to other places on the earth?
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