Consider the following equation: F = G mm₂ r² (Note: [F] = ML/T², [m₂] = [m₂] = M, and [r] = L) For the equation to be dimensionally consistent, the dimension of G must be 4. L² L² A. C. [G]= [G] = MT3 M²T² L³ L.³ D. [G] MT2 M²T B. 1--1 = [G] =

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider the following equation:
F = G
m₁m₂
r2
(Note: [F] = ML/T², [m₂] = [m₂] = M, and [r] = L)
For the equation to be dimensionally consistent, the dimension of G must be
4.
L²
L²
A.
C.
[G] =
[G]
MT3
M²T2
L³
L³
D.
[G] =
[G] =
MT2
M²T
B.
1--1
Convert 52.0 in to meters.
=
Transcribed Image Text:Consider the following equation: F = G m₁m₂ r2 (Note: [F] = ML/T², [m₂] = [m₂] = M, and [r] = L) For the equation to be dimensionally consistent, the dimension of G must be 4. L² L² A. C. [G] = [G] MT3 M²T2 L³ L³ D. [G] = [G] = MT2 M²T B. 1--1 Convert 52.0 in to meters. =
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