51. Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT−¹, [a] = LT-², and [t] = T. Determine whether each of the following equations is dimensionally consistent. (a) v² = 2as; (b) 8= vt² + 0.5at²; (c) v =s/t; (d) a = v/t.

51. Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT−¹, [a] = LT-², and [t] = T. Determine whether each of the following equations is dimensionally consistent. (a) v² = 2as; (b) 8= vt² + 0.5at²; (c) v =s/t; (d) a = v/t.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 24PQ

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I need help with a University Physics 1 (Dimensional Analysis) - The problem is described in the image below:

51. Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT−¹, [a] = LT-2, and
[t] = T. Determine whether each of the following equations is dimensionally consistent. (a) v² = 2as; (b)
s = vt² +0.5at²; (c) v= s/t; (d) a = v/t.

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