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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

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT−¹, [a] = LT-², and [t] 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] - (+/-)²³ = (b) K = 0.5mv² 3 - ( +/- ) ³ Т [K] = (c) p = mv [p] = = (+/-)² (d) W = mas [W] = = ¹² (4) (e) L = mvs 1² ( 14/7) [4] = L X X X = T. Assuming each of the following equations is dimensionally consistent, find
Transcribed Image Text:Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT−¹, [a] = LT-², and [t] 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] - (+/-)²³ = (b) K = 0.5mv² 3 - ( +/- ) ³ Т [K] = (c) p = mv [p] = = (+/-)² (d) W = mas [W] = = ¹² (4) (e) L = mvs 1² ( 14/7) [4] = L X X X = T. Assuming each of the following equations is dimensionally consistent, find
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