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Does objects with a higher density float or sink?

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We think that objects that have a higher density will sink.

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Materials:
Feather
Clay
Two cups
8 ounces of water

Method:
Using the digital scale, weigh the feather and the clay and document the weight of each object. Fill two cups with 4 ounces of water. In each cup, place each item inside the water.  Observe which items sink and which items float.

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The feather weighed the least amount at 0.082 grams.

The clay weighed 505 grams.

The feather floated on top of the water.

The clay sank to the bottom of the cup.

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The object with a lighter density, the feather, did indeed float. The heavier object, the clay, sank to the bottom.

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Objects with a heavier mass will sink, and objects with a lighter mass will float. Hence, why the feather floated and the clay did not.