College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 1, Problem 3P
A shape that covers an area A and has a uniform height h has a volume V = Ah. (a) Show that V = Ah is dimensionally correct. (b) Show that the volumes of a cylinder and of a rectangular box can be written in the form V = Ah, identifying A in each case. (Note that A, sometimes called the “footprint” of the object can have any shape and that the height can, in general, be replaced by the average thickness of the object.)
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A shape that covers an area A and has a uniform height h has a volume V = Ah.
(a) Show that V = Ah is dimensionally correct. (Submit a file with a maximum size of 1 MB.)
(b) Show that the volumes of a cylinder and of a rectangular box can be written in the form V = Ah,
identifying A in each case. (Note that A, sometimes called the "footprint" of the object, can have any
shape and that the height can, in general, be replaced by the average thickness of the object. Submit
a file with a maximum size of 1 MB.)
A shape that covers an area A and has a uniform height h has a volume V = Ah. (a) Show that V
= Ah is dimensionally correct.
In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities V, ρ, and t with dimensions [V] = L3, [ρ] = ML-3, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [V] represents the dimensions of the quantity V.)What are the dimensions of ∫ρdV? What are the dimensions of dV/dt? What are the dimensions of ρ(dV/dt)?
Chapter 1 Solutions
College Physics
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