Question

Consider the physical quantities m, s, v, a and t with dimensions [m] = M, [s] = L, [v] = LT–1, [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: a. F = ma; b. K = 0.5mv2 c. p = mv; d. W = mas; e. L = mvr

Name: consider the physical quantities m s v a and t with dimensions m m s l v lt1 a lt2 and t t assuming each of the following equations is dimensionally consistent find the dimension of the quantity on th
Uploaded: 2022-02-01T00:58:29-08:00
Duration: 2 min 9 s
Channel: Niharika Dwivedi
Description: consider the physical quantities m s v a and t with dimensions m m s l v lt1 a lt2 and t t assuming each of the following equations is dimensionally consistent find the dimension of the quantity on th

          Consider the physical quantities m, s, v, a and t with dimensions [m] = M, [s] = L, [v] = LT–1, [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:
a. F = ma;
b. K = 0.5mv2
c. p = mv;
d. W = mas;
e. L = mvr

Added by Abdulazeez A.

University Physics Volume 1

Samuel J. Ling, Jeff Sanny, William… 1st Edition

Chapter 1

Instant Answer

Solved by Expert Niharika Dwivedi

02/01/2022

Step 1

F = ma The dimension of force (F) is [F] = MLT^(-2) The dimension of mass (m) is [m] = M The dimension of acceleration (a) is [a] = LT^(-2) Show more…

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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] = T. Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: a. F = ma; b. K = 0.5mv2 c. p = mv; d. W = mas; e. L = mvr