Consider the following physics formula     a = 5 v2n tm  where a is an acceleration, v is a speed, t is time, while n and m are numbers. Find the values of the factors n and m so that this formula is dimensionally correct.  a.) n=2, m=1 b.) n=1/3 ,  m=-1 c.) n=1, m=2 d.) n=1/2,   m=-1

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 80AP: Consider the equation y=mt+b, where the dimension of y is length and the dimension of t is time, and...
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Consider the following physics formula
    a = 5 v2n tm 
where a is an acceleration, v is a speed, t is time, while n and m are numbers. Find the values of the factors n and m so that this formula is dimensionally correct. 

a.) n=2, m=1
b.) n=1/3 ,  m=-1
c.) n=1, m=2
d.) n=1/2,   m=-1
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