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Imagine that you have a solid cube of Material X. You have a beaker filled to th

ID: 1969800 • Letter: I

Question

Imagine that you have a solid cube of Material X. You have a beaker filled to the brim with pure water. The water-filled beaker is resting on a scale. You now slowly lower the cube of Material X into the beaker. It sinks to rest on the bottom and some water is displaced from the beaker. Material X is completely immersed in the water and the displaced water runs off the scale. Which, if any, of the following statements is/are true? ( I put my guesses at the end but I feel like I'm missing a crucial conceptual component somewhere)

The cube displaces an amount of water equal to its own weight. True
The density of Material X must be greater than that of pure water. True
The cube of Material X weighs the same as a cube of water the same size. False
The weight of displaced water equals the weight of Material X. True
The scale reads the weight of the water remaining in the beaker, the weight of the beaker, and the weight of Material X. False
The buoyant force on Material X is equal to its own weight. False
The normal force exerted by the bottom of the beaker on the cube is less than the weight (in air) of the cube. True
There is no buoyant force acting on the cube of Material X. False

Explanation / Answer

1.True beacuse the material sinks 2.True because byont force acts upwards reducing the Normal reaction but balancing the true weight of the body 3.False (sorry i overlooked it) 4.True 5.False 6.False.If it equals the cube should float instead of sinking 7.False infact volumes are equal. 8.False Hope you are clear now :)