MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
4th Edition
ISBN: 9780135245033
Author: Knight
Publisher: PEARSON
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Chapter 14, Problem 1CQ
To determine

Whether the object’s density change and by what factor.

Expert Solution & Answer
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Answer to Problem 1CQ

Solution: (a) The density ρremains constant. (b) The density decreases by a factor of 8.

Explanation of Solution

Given:

An object has density ρ . (a) Each of the objects 3 dimensions is increased by a factor of 2 without changing the material of which the object is made. (b) The dimensions are increased by a factor of 2 without changing the object’s mass.

Formula used:

The mass of an object with uniform density ρ is given by m=ρV , where V volume of the object.

(a) When the volume increases, the mass also proportionally increases. Since the object’s material does not change, the density ρ remains constant. (b) Since, the linear dimensions change by a factor of 2, the density decreases by a factor of 8.

Calculation:

The mass remains constant. Hence, m=ρV=ρ'V' . Now, since the linear dimensions change by a factor of 2, new volume V' is 2×2×2V=8V .

Substituting,

m=ρV=ρ'(8V)ρ'=ρ8

Conclusion:

Since the object’s material does not change, the density ρ remains constant. Since, the linear dimensions change by a factor of 2, the density decreases by a factor of 8.

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Chapter 14 Solutions

MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB

Ch. 14 - Prob. 11CQCh. 14 - Prob. 12CQCh. 14 - Prob. 13CQCh. 14 - What is the volume in mL of 55 g of a liquid with...Ch. 14 - Prob. 2EAPCh. 14 - Prob. 3EAPCh. 14 - A 6.0m12.0m swimming pool slopes linearly from a...Ch. 14 - A 1.0-m-diameter vat of liquid is 2.0 m deep. The...Ch. 14 - Prob. 6EAPCh. 14 - A 3.0-cm-diameter tube is held upright and filled...Ch. 14 - a. What volume of water has the same mass as 8.om3...Ch. 14 - A 50-cm-thick layer of oil floats on a...Ch. 14 - A research submarine has a 20-cm-diameter window...Ch. 14 - A 20-cm-diameter circular cover is placed over a...Ch. 14 - Prob. 12EAPCh. 14 - Prob. 13EAPCh. 14 - Prob. 14EAPCh. 14 - 15. How far must a 2.0-cm-diameter piston be...Ch. 14 - A 6.00-cm-diameter sphere with a mass of 89.3 g is...Ch. 14 - Prob. 17EAPCh. 14 - Prob. 18EAPCh. 14 - Prob. 19EAPCh. 14 - Prob. 20EAPCh. 14 - What is the tension of the string in FIGURE...Ch. 14 - 22. A 10-cm-diameter, 20-cm-tall steel cylinder (=...Ch. 14 - You need to determine the density of a ceramic...Ch. 14 - Prob. 24EAPCh. 14 - Prob. 25EAPCh. 14 - Prob. 26EAPCh. 14 - A long horizontal tube has a square cross section...Ch. 14 - Prob. 28EAPCh. 14 - Prob. 29EAPCh. 14 - Prob. 30EAPCh. 14 - A 2.0 mL syringe has an inner diameter of 6.0 mm,...Ch. 14 - Prob. 32EAPCh. 14 - Prob. 33EAPCh. 14 - Prob. 34EAPCh. 14 - Prob. 35EAPCh. 14 - Prob. 36EAPCh. 14 - Prob. 37EAPCh. 14 - Prob. 38EAPCh. 14 - Prob. 39EAPCh. 14 - Prob. 40EAPCh. 14 - 41. A friend asks you how much pressure is in your...Ch. 14 - Prob. 42EAPCh. 14 - Prob. 43EAPCh. 14 - 44. A U-shaped tube, open to the air on both ends,...Ch. 14 - Prob. 45EAPCh. 14 - Prob. 46EAPCh. 14 - An aquarium of length L, width (front to back) W,...Ch. 14 - Prob. 48EAPCh. 14 - Prob. 49EAPCh. 14 - 50. A cylinder with cross-section area A floats...Ch. 14 - Prob. 51EAPCh. 14 - Prob. 52EAPCh. 14 - Prob. 53EAPCh. 14 - Prob. 54EAPCh. 14 - A plastic "boat" with a square cross section...Ch. 14 - Prob. 56EAPCh. 14 - Prob. 57EAPCh. 14 - Prob. 58EAPCh. 14 - Prob. 59EAPCh. 14 - Prob. 60EAPCh. 14 - Prob. 61EAPCh. 14 - Prob. 62EAPCh. 14 - Prob. 63EAPCh. 14 - Prob. 64EAPCh. 14 - A hurricane wind blows across a 6.0m15.0m flat...Ch. 14 - Prob. 66EAPCh. 14 - Prob. 67EAPCh. 14 - A water tank of height h has a small hole at...Ch. 14 - Prob. 69EAPCh. 14 - Prob. 70EAPCh. 14 - 71. The bottom of a steel "boat" is a piece . The...Ch. 14 - Prob. 72EAPCh. 14 - Prob. 73EAPCh. 14 - Prob. 74EAPCh. 14 - Prob. 75EAP
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