Chapter 14, Problem 031 A block of wood floats in fresh water with 0.675 of its volume V submerged and in oil with 0.871 V submerged. Find the density of (a) the wood and (b) the oil. Units (a) Number (b) Number Units

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter 14, Problem 031
A block of wood floats in fresh water with 0.675 of its volume V submerged and in oil with 0.871 V submerged. Find the density of (a) the wood and (b) the oil.
Units
(a) Number
(b) Number
Units
Transcribed Image Text:Chapter 14, Problem 031 A block of wood floats in fresh water with 0.675 of its volume V submerged and in oil with 0.871 V submerged. Find the density of (a) the wood and (b) the oil. Units (a) Number (b) Number Units
Expert Solution
Step 1

a)

As wooden block floats on water, buoyant force exerted by water on block will be equal to the weight of block acting downwards.

moP(0.675Vk)
Psioc Vliock =(0.675)P,Vsedk
Petoeck =(0.675)P
(0.675)(1000kg/m2)
675kg/m3
block
Step 2

Answer: 675 kg/m3

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