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

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

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter9: Solids And Fluids

Section: Chapter Questions

Problem 76P: Small spheres of diameter 1.00 mm fall through 20C water with a terminal speed of 1.10 cm/s....

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Question

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

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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