EBK PHYSICS FOR SCIENTISTS AND ENGINEER
1st Edition
ISBN: 9780100546714
Author: Katz
Publisher: YUZU
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Chapter 1, Problem 25PQ
(a)
To determine
Dimension of Newton in terms of length, mass, and time using the equation
(b)
To determine
Dimension of Newton in terms of length, mass, and time using the equation
(c)
To determine
SI unit of
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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)?
Physical units in mechanics are usually some combination of the dimensions time T, mass M, and length L. Consider the
physical quantities m, r, u, a, and t with dimensions [m] = M, [r] = L, [u] = LT-, [a] = LT-2, and [1] = T.
Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L,
T, and exponents.
Assume that each of the following equations is dimensionally consistent.
Lo = mur
[Lo] =
W = mar
[W] =
T
Chapter 1 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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