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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Answered: Consider the physical quantities s, v,…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

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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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