Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT¹, [a] = LT-2, and [t] = T. Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation. (Use the following as necessary: M, L, and T.) (a) F = ma [F] = 17- ( 17 ) ² (b) K = 0.5mv² - (+) ³ [K] = (c) p = mv [p] = ( 4 ) ² (d) W = mas [W] = (e) L = mvs (4-2( ) = X X X X

Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT¹, [a] = LT-2, and [t] = T. Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation. (Use the following as necessary: M, L, and T.) (a) F = ma [F] = 17- ( 17 ) ² (b) K = 0.5mv² - (+) ³ [K] = (c) p = mv [p] = ( 4 ) ² (d) W = mas [W] = (e) L = mvs (4-2( ) = X X X X

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 25P: A sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m....

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