There is no change in the weight of either
Air has no influence on the weight of an object unless the object is accelerating down through an air column. The air resistance to the free fall of the object may have an influence on its instantaneous weight of the object.
Explanation:
The weight of an object is influenced by the mass of the object and gravity. Gravity also has influence in a vacuum. Therefore the wooden and iron piece will weight the same in a vacuum as in the air.
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