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Question

Ice ______ in water, because the weight of water displaced by the immersed part of the ice is _____ its own weight

A
sinks, more than
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B
sinks, less than
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C
floats , equal to
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D
floats , less than
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Solution

The correct option is B floats , equal to
According to Archimedes principle, A body immersed in water experiences an upward force equal to the mass of the fluid displaced by the body. If the weight of an object is greater than the weight of displaced fluid, it will float. If the two are equal, it is suspended, neither floating nor sinking. For example, when an object is placed in water, it will displace its own volume of water, and that water will push back against it proportionally, producing an upthrust.
Water has a weight density of 62 pounds per cubic foot. It an object weighing 62 pounds has a volume that displaces 2 cubic feet of water, it will float. The displaced water will weigh 124 pounds and the pressure of that water would be enough to keep the object floating.
Hence, Ice floats in water, because the weight of water is displaced by the immersed part of the ice is more than its own weight and the statement is true.

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