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If there are two balance beam scales with one placed directly on the hard surface of a floor and the other placed on a thick spongy carpet in between it and the floor, will they both indicate the same weight if you place a 100 pound weight on each, or, would the spongy surface absorb some of the weight?

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If you stand on any surface, be it a piece of steel, concrete, wood, or foam, it gives a little until it pushes back against your weight with the same force. That is still true even if there is a scale between you and the surface. You stand on the scale; you and the scale (under the force of gravity) push down on the surface underneath until that surface pushes back against you and the scale with the same force.

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they will both read the same. the material under the scale has no influence on the weight being measured.

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