(a) How much volume of water must be displaced for a cubical block of wood with a density of Pwood 700kgm ³, that is 10 cm on a side, to float in a river? For this question, you can use that the density of the river water is Pwater = 1000kgm-³ and that the acceleration of gravity is 9.81 ms-2. (b) An object floats half submerged in water. By considering the forces acting on the object, show that the density of the object must be half the density of the water. (c) An object reaches a depth of 18 metres under the sea surface. If the density of salt water is taken to be p = 1025 kgm-3, calculate the pressure experienced by the object due to the fluid (i.e. only the hydrostatic pressure) at 18 m depth. Assume that the acceleration of gravity is g = 9.81ms-².

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter15: Fluid Mechanics
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(a) How much volume of water must be displaced for a cubical block of wood with a density of Pwood =
700kgm ³, that is 10 cm on a side, to float in a river? For this question, you can use that the
density of the river water is Pwater = 1000kgm-³ and that the acceleration of gravity is 9.81 ms-2.
(b) An object floats half submerged in water. By considering the forces acting on the object, show that
the density of the object must be half the density of the water.
(c) An object reaches a depth of 18 metres under the sea surface. If the density of salt water is taken to
be p = 1025 kgm-3, calculate the pressure experienced by the object due to the fluid (i.e. only the
hydrostatic pressure) at 18 m depth. Assume that the acceleration of gravity is g = 9.81ms-².
Transcribed Image Text:Q3 (a) How much volume of water must be displaced for a cubical block of wood with a density of Pwood = 700kgm ³, that is 10 cm on a side, to float in a river? For this question, you can use that the density of the river water is Pwater = 1000kgm-³ and that the acceleration of gravity is 9.81 ms-2. (b) An object floats half submerged in water. By considering the forces acting on the object, show that the density of the object must be half the density of the water. (c) An object reaches a depth of 18 metres under the sea surface. If the density of salt water is taken to be p = 1025 kgm-3, calculate the pressure experienced by the object due to the fluid (i.e. only the hydrostatic pressure) at 18 m depth. Assume that the acceleration of gravity is g = 9.81ms-².
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