12.83 A cubical block of density PB and with sides of length L floats in a liquid of greater density PL. (a) What fraction of the block's volume is above the surface of the liquid? (b) The liquid is denser than water (density pw) and does not mix with it. If water is poured on the surface of the liquid, how deep must the water layer be so that the water surface just rises to the top of the block? Express your answer in terms of L, PB, PL, and pw. (c) Find the depth of the water layer in part (b) if the liquid is mercury, the block is made of iron, and the side length is 10.0 cm. ●●●

University Physics Volume 1
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Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 69P: What is density of a woman floats in fresh water with 4.00% of her volume above the surface? (This...
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12.83 ... A cubical block of density PB and with sides of length L
floats in a liquid of greater density PL. (a) What fraction of the
block's volume is above the surface of the liquid? (b) The liquid is
denser than water (density pw) and does not mix with it. If water
is poured on the surface of the liquid, how deep must the water
layer be so that the water surface just rises to the top of the block?
Express your answer in terms of L, PB, PL, and pw. (c) Find the
depth of the water layer in part (b) if the liquid is mercury, the
block is made of iron, and the side length is 10.0 cm.
Transcribed Image Text:12.83 ... A cubical block of density PB and with sides of length L floats in a liquid of greater density PL. (a) What fraction of the block's volume is above the surface of the liquid? (b) The liquid is denser than water (density pw) and does not mix with it. If water is poured on the surface of the liquid, how deep must the water layer be so that the water surface just rises to the top of the block? Express your answer in terms of L, PB, PL, and pw. (c) Find the depth of the water layer in part (b) if the liquid is mercury, the block is made of iron, and the side length is 10.0 cm.
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