The displacement of an object moving under uniform accelerationis some function of time and the acceleration. Supposewe write this displacement as s = kamtn, where k is adimensionless constant. Show by dimensional analysis that thisexpression is satisfied if m = 1 and n = 2. Can the analysis givethe value of k?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 54PQ
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The displacement of an object moving under uniform acceleration
is some function of time and the acceleration. Suppose
we write this displacement as s = kamtn, where k is a
dimensionless constant. Show by dimensional analysis that this
expression is satisfied if m = 1 and n = 2. Can the analysis give
the value of k?

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