Determine the fundamental dimensions [e.g., L (length), T (time), etc.] of Coulomb's constant k. This constant relates the electrical force F experienced by two charges q, and q2 to the product of these charges divided by the square of the distance d between them in the following manner: 9192 F = k d?

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Chapter1: Units, Trigonometry. And Vectors
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1. Dimensional bookstore.
A.
Determine the fundamental dimensions [e.g., L (length), T (time), etc.] of Coulomb's constant k.
This constant relates the electrical force F experienced by two charges qı and q2 to the product of these
charges divided by the square of the distance d between them in the following manner:
9192
F = k
%3D
zP
The atmospheric pressure P decreases exponentially with elevation h as follows,
P(h) = P,e-gh/A
,where Po ([Pa]) is the atmospheric pressure at sea level, g ([m/s2]) is the acceleration due to gravity, and
A is some dimensional constant. Determine the SI unit of the constant A and argue your key assumption.
B.
Transcribed Image Text:1. Dimensional bookstore. A. Determine the fundamental dimensions [e.g., L (length), T (time), etc.] of Coulomb's constant k. This constant relates the electrical force F experienced by two charges qı and q2 to the product of these charges divided by the square of the distance d between them in the following manner: 9192 F = k %3D zP The atmospheric pressure P decreases exponentially with elevation h as follows, P(h) = P,e-gh/A ,where Po ([Pa]) is the atmospheric pressure at sea level, g ([m/s2]) is the acceleration due to gravity, and A is some dimensional constant. Determine the SI unit of the constant A and argue your key assumption. B.
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