# (II) A 0.43-kg piece of wood floats in water but is found

## Problem 32P Chapter 10

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 32P

(II) A 0.43-kg piece of wood floats in water but is found to sink in alcohol (SG =0.79), in which it has an apparent mass of 0.047 kg. What is the SG of the wood?

Step-by-Step Solution:

Solution 32P:

When a piece of wood placed in the water its float whereas placed in the alcohol it sink, as the amount of alcohol displaced does not exert sufficient amount to buoyant force on the wood. We have to determine the specific gravity of the wood.

Step 1 of 3</p>

Concept:

The mass of the alcohol displaced is the volume of the wood times the density of the alcohol. Mathematically,

..(1)

Specific gravity of the substance is defined as the ratio of density of the substance to density of water . Mathematically.

…(2)

Density of the body is defined as the ratio of mass of the body to its volume. Mathematically,

…(3)

Step 2 of 3</p>

Mass of wood in air

SG of alcohol

Density of alcohol

Apparent mass in alcohol

Using relation (1), mass of alcohol displaced

…[From (3)]

…[From (2)]

…(4)[From (2)]

Step 4 of 4</p>

The difference in the actual mass and the apparent mass of the wood is the mass of the alcohol displaced by the wood. Therefore,

…(5)

From equations (4) and (5), we get,

Thus, the specific gravity of the wood is .

Step 3 of 4

Step 4 of 4

##### ISBN: 9780130606204

The full step-by-step solution to problem: 32P from chapter: 10 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6th. The answer to “(II) A 0.43-kg piece of wood floats in water but is found to sink in alcohol (SG =0.79), in which it has an apparent mass of 0.047 kg. What is the SG of the wood?” is broken down into a number of easy to follow steps, and 35 words. This full solution covers the following key subjects: wood, mass, floats, found, apparent. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Since the solution to 32P from 10 chapter was answered, more than 277 students have viewed the full step-by-step answer. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204.

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